diff --git "a/data/dm_maths/full_data_2/879_11255.jsonl" "b/data/dm_maths/full_data_2/879_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/879_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange 3*s**2 - 8*s**3 - 3*s**2 + s**2 - 86 - 86 - 2*s**4 - 8*s + 173 to the form g*s + b*s**3 + q + k*s**4 + z*s**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2448) - (1*sqrt(2448))**2).\nAnswer: -7344 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eye when three letters picked without replacement from neneyeneenn.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3354893365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**7\/280 + y**5\/40 - y**3\/8 - 47*y**2\/2 - 2*y + 33. Let k(i) be the second derivative of b(i). Factor k(w).\nAnswer: -3*(w - 1)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p + 4. Let a(b) = 15*b + 9. Let s = -227 - -221. Determine s*a(z) + 13*o(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2231585, -2231583, -2231577, -2231567, -2231553, -2231535, -2231513?\n\"Answer: 2*d**2 - 4*d - 2231583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -8272, -19652, -35592, -56098, -81176?\nAnswer: -110832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526 = 9*g - 2*x, -30*g = 2*x - 863 + 2599 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1986993*f - 1987892*f + 99789 = 0 for f.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + c + 902, -c = -51*w + 49*w + 603. Calculate the highest common factor of w and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10335 + 340 = -5*x. Is ((-14)\/(-6) - 2)*(2 + x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 7501450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y - 9*y + y)*(-27 - 22 + 42 - 14) to the form s*y + l and give s.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8685 - -26156. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 2*m - 34, 4*u - 32 = -4*m. Let f be 4\/(-6)*u\/4. Let j = 0.1 - 0. What is the nearest to 1 in -0.3, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 31 = -5*o. Let w(j) = j + 1. Let a(p) = 3*p + 4. Calculate o*w(l) - 2*a(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 118238353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*((1 + (sqrt(325) - (sqrt(325) + (-2*sqrt(325))**2)) - (sqrt(325) + (sqrt(325)*-1 - sqrt(325)) + 5 + sqrt(325))**2) + -4)*-5.\nAnswer: -26565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2835.291 litres?\nAnswer: 2835291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - g + 4*g)*(0*g + 0*g + g**2) + 598*g**3 + 3*g + 450*g**3 - 327*g**3.\nAnswer: 720*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*s - 336*s + 1266*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(9)\/(-4*sqrt(9)\/sqrt(3)) + 5)**2.\nAnswer: -7*sqrt(3)\/2 + 787\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.51862 from -1088420.\nAnswer: -1088421.51862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 250.9 - 248. Let v = g + -2.8. Put v, 0.4, 5 in descending order.\nAnswer: 5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 192. Suppose 2*t + i = 5*t. What is the greatest common divisor of t and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5077 divided by 27\nAnswer: -5077\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 243 + -11?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -296*w**3*y**3 - 2*w**3*y - 371*y**3 wrt w.\nAnswer: -888*w**2*y**3 - 6*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -2 (b) 0 (c) 3\/2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 4 + 2*i**2 - 2*i - 78*i**3 + 81*i**3. What is the tens digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -46*m + 8. Let a(n) = 117*n - 17. Let t(u) = -4*a(u) - 10*v(u). Let p(i) = -3*i - 4. Give -17*p(w) + 6*t(w).\nAnswer: 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*a**2*q**3 - 2*a**2*q**2 + 3*a*q**3 - 16*q**3 wrt a?\nAnswer: 36*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 5*z)*(-1 - 1 + 0)*(3 - 3 + 6*z)*(-11 + 6 - 4).\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:06 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14035)\/2005)\/(7\/(-48)) + (-24)\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 75 = -14*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 752, 752, 744, 722, 680, 612, 512, 374?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38864 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 4.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*v - 180*v + 57*v - v**3 + 62*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**3 - 2*b**3 + 3*b**3)*(-2 + 2 + b) + 0*b**4 - b**4 - 3 + 5 to s*b**2 + i + x*b + r*b**3 + o*b**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -447, -4341, -15533, -37869, -75195, -131357?\n\"Answer: -641*s**3 + 197*s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 9) + (-3 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/16830 and 58\/891.\nAnswer: 151470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 185 - p + 59 + 66 - p**2 + 60 + 11*p**3 as l*p + r*p**4 + t*p**2 + y*p**3 + q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3854052 divided by 2.\nAnswer: 1927026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**7\/6 - 5*f**3\/2 - 5*f**2\/2 - 2*f. Let u(q) = -1. Let t(m) = l(m) - 5*u(m). What is the second derivative of t(z) wrt z?\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + -0.06. Suppose -z = -2*z. Suppose 0 = -3*v + 5*q + 22, 2*v - 32 = 5*q - 9. What is the second smallest value in w, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -7. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 2*q)*(-1 + 1 + 2*q**2 + (-721845 - 56*q + 721845)*(2 - 2*q - 2)).\nAnswer: 114*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59705 is divided by 59117?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 166. Which is the closest to -0.1? (a) r (b) 1 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100100111 (base 2) to base 12.\nAnswer: -91b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2379*l - 2017. Let c(v) = 11889*v - 10082. Let x(s) = 4*c(s) - 22*n(s). Differentiate x(y) wrt y.\nAnswer: -4782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = u, -14*d - 2*u - 4 = -17*d. Solve 2*t - 20 = -d*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181151.\nAnswer: 107, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d + 5*d. Suppose -20 = 5*y, -3*v - 2*y = 2*y + 4. Suppose 4*t + 0*s - 226 = -d*s, 0 = v*s - 12. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118435 and 710610?\nAnswer: 710610","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-1)\/(4\/16*-1))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 2\/7 (b) -305 (c) 0.3 (d) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*f - 9 = 0, -f - 4*f = 5*y - 10. Solve -2 - y = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from lgagxxxgagatghh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - c + 2*c + 10 = 0, 3*g - 4 = 5*c. Let m be 0 + 0 + (3 - 48). Let s = g - m. Calculate the highest common divisor of s and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -45*m + 8. Suppose 0 = -7*k + 6*k - 2. Let v be i(k). What is the units digit of (-24)\/6*v\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*d - 316, 2*d + 0*d = -5*w + 819. What is w rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 4:25 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-45) + (-14670002)\/(-9). What is y rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -55, 33, 103, 149?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2737659981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 173995 times -3.14?\nAnswer: -546344.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 156, 434, 846, 1404, 2120, 3006?\nAnswer: 4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40780.8 litres to millilitres.\nAnswer: 40780800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02364261 to four decimal places.\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 8, -25, -94, -211, -388?\n\"Answer: -2*a**3 + 5*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 - 133. Let l = c + -182. Solve x + 16 = -l*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1)*o)\/o)\/((o**(-1)\/o)\/o))**(20\/7)*(o*o**1*o**(-4\/7))**(4\/17) assuming o is positive.\nAnswer: o**(720\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/50 + (-22)\/55. Solve 3 + 17 = -4*v, r = -s + 5*v + 29 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 2314410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) -3 (b) 0.046 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**3 + p**3 - 137*p**2 - 16*p**3 + (0*p**2 - 8*p**3 + 0*p**2)*(4 - 2 - 5))*(0*p + 0*p + p**2).\nAnswer: 23*p**5 - 137*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -199\/47, 6, -11 in increasing order.\nAnswer: -11, -199\/47, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, 0.3.\nAnswer: 0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50981 = -47*j - 50*j + 54667 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 37 - (29 - -8 - 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(1011*h**3 + 809*h**3 + 45*h**3) + (4*h - 4*h - 2*h)*(-6 + 8 + 3*h + 4*h)*(0*h - 3*h + h).\nAnswer: 1893*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2494.\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385580 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520189789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 - -222. Suppose -m*b - 9 = 0, -5*t + 4*t + 4 = 2*b. Solve -w + 4*g - 2 = -t, 0 = 5*w - 2*g - 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 - x + 1. Let t be b(1). Suppose 4*s - 12 = -4*c, t*s - 6*s + 5*c = -48. Suppose -s - 7 = -2*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45549\/79 less than 577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -0.4. Let y = r + -0.8. Let m = 7 - 11. Which is the nearest to -2? (a) m (b) y (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 - 219 = 52*g - 57 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 = -3*t - n, 0 = 3*t + 2*n - 17. Suppose -t*f = -8*f + 190. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - -9. Let t be (2\/(-3))\/(3\/q). Suppose 0 = -2*g - 5*j + 10, j + 16 = -4*g - 0*j. Which is greater: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207860977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-305 - 211 - 74 + 48)*(s**4 - s**4 + s**4) as b + i*s + q*s**3 + y*s**4 + x*s**2 and give y.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, e: 1, q: 4, k: 2}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2 - 401194*w + 54580880 = 0. What is w?\nAnswer: -401330, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let i be (-46)\/6 + m\/(-3). Let v be -2 - i*(1 - -3). Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275976030?\nAnswer: 2, 3, 5, 11, 836291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*d - 68*d - 84. Let v(t) be the second derivative of 4*t**3\/3 - 2*t. Let p(x) = -x. Give d*p(c) - v(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 1. Let v be c(2). Suppose -m + 25 = -5*f, 5*m + v*f = 3*m - 25. Suppose -3*j + 69 = -m. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 23*o**2 - 28*o - 23. Suppose 3*r - 4*k = 64, 0*r = -r - 3*k + 30. Let j be c(r). Let d = 184 + j. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/71? (a) 17 (b) -3\/5 (c) -26 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwedpdeedpdpd. Give prob of sequence eew.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, 165?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((-2 - 5) + 5 - (0 + -15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*i + 14, -4*h + 4*i = -0*i + 8. What is the tens digit of ((-2)\/h)\/((-8)\/(-496))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - (0 - -5) - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1131 + -629. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14.231 from 2.\nAnswer: 16.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*(-34)\/17*(-3)\/(-12)*8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2512 - -5355. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 535080, 1070167, 1605256, 2140347, 2675440, 3210535?\n\"Answer: t**2 + 535084*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2219210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + j**3 - 26*j**2 + 22*j**2 + 29 - 17*j**2. Is m(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (21 - (-5 + 21 - 30)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 136 = 121 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 56. Let g be u(0). Suppose 34 = 3*l - g. Let a be (9\/l)\/((-12)\/10). What is the nearest to a in -0.1, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9406.038 minutes in hours?\nAnswer: 156.7673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35236, 31193, 27150?\n\"Answer: -4043*v + 39279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 7*v = -96. What is the smallest common multiple of 4 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 49*q - 56. Let g(u) = 23*u - 24. Let s(f) = 6*a(f) - 14*g(f). Let m(v) = -2*v. Calculate s(m(k)).\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k = -49 - 137 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015*w + 5*g = 1013*w + 7, -15 = -5*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*i - 1. Suppose 2 - 32 = -i*w. What is the greatest common divisor of w and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20cc98 (base 13) in base 5?\nAnswer: 144133403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -16. What is the lowest common multiple of q and 31?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 34 - 8. Solve -1 + a = -3*d - q, -3*d - 3 = -2*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1041 and 153672420.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53038.93mm?\nAnswer: 53038930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11018 divided by -3.\nAnswer: -11018\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/2)\/((-2)\/(-4)). Let i = j + -3. Suppose 0*x = -3*x + g + 58, 2*x - 36 = -i*g. What is the highest common divisor of x and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(sqrt(98) + 1 + sqrt(98) + sqrt(98) + 2))**2 + ((sqrt(98) - (sqrt(98) + 2)) + -4 - (sqrt(98) + -2 + -3*sqrt(98) + sqrt(98) - sqrt(98))**2))*4.\nAnswer: -90708 - 12824*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -59. Suppose 2*n = -2*j + 6*j - r, -4*n + 16 = -j. Suppose 2*b - b = 5*h - 28, -2*h + j*b + 22 = 0. What is the least common multiple of h and 89?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 1, w: 2, y: 1}. Give prob of picking 1 b and 1 w.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 4 - 7*b**2 + 3.\nAnswer: -7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.051 - 15.551. Let x = q + 15. Which is the closest to 1? (a) 9 (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (6 - (-8)\/12*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2338864075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18950, 13015, 3124, -10723?\n\"Answer: -1978*s**2 - s + 20929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.76 + 379091?\nAnswer: 379062.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 94*m - 92498 = -42*m - 90122 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -17*s + 6. Is c(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20932.177 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -31*a + 4 + 31*a - 8*a**2 + a**3. Let i(k) = 3*k + 52. Let f be i(-16). Suppose 0 = f*r - 10*r + 48. Give p(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 + 5*z**4 + 3*z**3 - z**2 - z.\nAnswer: z*(z + 1)**3*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzozyrzrzczrr. Give prob of sequence zrzo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18715547027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 11 = -29. Suppose x = -3*a + 62, 8*a = 3*a + 5*x + 110. Suppose 0 = -n*u + 6*u - a. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12038 and 7.\nAnswer: 84266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326*w**2 + 2*w + 196*w**2 - 2*w**4 + 293*w**2 + 3*w**3 to q*w**2 + d*w**3 + a + x*w**4 + y*w and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + 2. List the prime factors of x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vgvgggvgvvvvvgvggvgg.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (5 + (-2*sqrt(76) - sqrt(76)))**2) - (5*(sqrt(19) + (sqrt(19) - sqrt(57)\/(2*sqrt(3))) - sqrt(19)) + (sqrt(2736)*1 + sqrt(2736) + -2)**2).\nAnswer: -14468 + 787*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31785 - -49778. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-10) + 8)*(-4)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/6 - 2845*a**3\/6 + 477400*a**2 - 578864000*a\/3 + 69850880000\/3.\nAnswer: (a - 880)**3*(a - 205)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = y - 11. Let w = y + -19. What is the greatest common divisor of w and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4 + 4)*(4*y + 2*y - y) - 34*y + 70*y - 36*y + 255*y**2.\nAnswer: 270*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 - (-28)\/45. Let r = 4.597 - 4.497. Which is the nearest to z? (a) 1\/7 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46a5 (base 12) to base 3.\nAnswer: 101211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14*((v**(-8)\/v)\/v)\/v assuming v is positive.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - aee?\nAnswer: -b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3ab980 (base 12) to base 6\nAnswer: -32514240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*n + 4*n - 3.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11368151 is divided by 1263125?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*o**3 - 1592*o**2 - 1584*o**2 - 40*o + 3306*o**2.\nAnswer: 5*o*(o + 4)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1052 + 185. Let o = y - 12449\/10. What is the common denominator of (-1854)\/60 + 32\/(-20) and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3733*j - 3730*j + 9*j**3 + 7463*j.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*d + 279 = 0. Suppose p - d = -2*q, -3*q + 28 + 21 = -p. What is the remainder when 31 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17*f**3 - 12*f**2 - 10*f + 1. What is l(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1850 and -81\/7400.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5314.7 and -100?\nAnswer: 5414.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 154 + -34a?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from fcccccccccfcc.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -50. What is the remainder when d is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zroruurrozzr. What is prob of sequence rrrz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(34)\/sqrt(2))**2 + 5 - (5 + sqrt(136)\/(sqrt(32)\/sqrt(4))) - ((3*sqrt(170)*4)\/(sqrt(10) - (sqrt(10) + sqrt(1440)*2 + sqrt(1440))))**2.\nAnswer: -sqrt(17) + 3808\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 227.172 millilitres?\nAnswer: 0.227172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 21 = 207*a - 105*a - 104*a, -3*k - 39 = -5*a - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 244440394?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**7\/a*a*a*a**(2\/9)*a*a*a*a*a*a*(a*a\/(a*a**(1\/4))*a)\/a**(-2\/5))\/(((a*a**(-2\/3))\/a**(-7))\/(a\/((a*a**(1\/3))\/a))**(-4)) assuming a is positive.\nAnswer: a**(1327\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28095 is divided by 9360.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.6 + -117.6. Let t = h + 111.000111. Round t to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5041425.00093 - -5041464. Let p = 5566 + -5527. Let l = p - t. Round l to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 18019*h - 18021*h + 110 = 0, 33 = 3*f + 5*h for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*x + 2*h, 3 - 2 = x + 3*h. Let q(r) = -3*r**2 - 12*r + 2. Let a(b) = -4*b**2 - 13*b + 2. Determine x*q(w) + 4*a(w).\nAnswer: -w**2 + 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -409 + 412. Solve 6 = z*w, -2*l - 2*w = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 0.9. Let t = i - 0.099983. Round t to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaahhaaaa?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115986880 to the nearest integer?\nAnswer: 10770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 16*l**2 + l - 1. Suppose w + c = 1, 0*c - 5 = -5*w - 4*c. List the prime factors of n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95119)\/(-5212))\/(-5*(-1)\/20).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -129532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 425767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2929 - -2.2731. Let g = 0.052 + f. What is g rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4245?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 - y + 1. Let o(a) = -2*a**3 - 4*a**2 + 2*a - 35. Let r(f) = -3*h(f) - o(f). What is the tens digit of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -56*i - 78. Let l be d(-43). Let c(m) = l + 56*m - 2330. Let z(y) = -2*y**2. Calculate c(z(v)).\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 531, 429, 347, 297, 291, 341, 459?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose 0 = o*w + 6, w - 7 = 2*p - 0. What is the nearest to -1\/3 in p, -1\/3, 2\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 + -75. Suppose 0*q = 2*q - 12. Suppose -4*u = -5*d - q*u + l, 5*d = 4*u + 87. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 111834*6*(184\/36 + -5). Suppose -5*x = -d + 21221. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10135 + 0 + (60 - 64). Suppose -5*g = h - 13945, 3*h - 4*g = 52061 - z. Round h to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1018523 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(2\/9). Suppose -k*h + 1295 = 2*h + n, -2*n = 5*h - 1295. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1 = 2*t + 31, -3*m = t + 18. Let u be -1 - -3 - 4\/(m\/(-3)). Suppose -k - 1 + 3 = u. Calculate the smallest common multiple of k and 23.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13576.4 - -14576.61. Let u = q + -985. Let y = u + -15.20221. Round y to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -8793, -11 in decreasing order.\nAnswer: -11, -36, -8793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720)*1)*-4 + (3*(sqrt(720) - (sqrt(720) + 3)) + -2)**2 + 2.\nAnswer: -48*sqrt(5) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 883*m*t**2 + 10*m*t - 259*m - 40438095*t**2 wrt m?\nAnswer: 883*t**2 + 10*t - 259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**2 + 41*z - 41*z - 8*z**2.\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and -113\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59461835 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 15*o - 12. What is v(16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*c**2 - 10*c**2 + 8 + 22*c**2 as s*c**2 + z + y*c and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582023.\nAnswer: 821, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87759 is divided by 42046?\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t**2 - 5*t + 11. Give c(-4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/20 - -3\/10. Let m(r) = r - 12. Let p be m(8). Which is the third biggest value? (a) p (b) o (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3528*g**2 - 390*g**3 + 3528*g**2.\nAnswer: -390*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbcbbcbbbgbbbbcbbbbb. Give prob of picking 1 g and 1 c.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {x: 9, c: 1, e: 2, k: 6, j: 1, a: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/9)\/((-8)\/24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (3 + (sqrt(240) + -4*(sqrt(240)*-1 + sqrt(240)))\/(3*sqrt(12)*-3))**2).\nAnswer: -2935\/81 + 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -44, -38, -38, -44?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -1, -9, -23, -43, -69, -101?\n\"Answer: -3*k**2 + 7*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23841.94ml?\nAnswer: 23.84194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-7 + 18 + 11 + 7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**3 + 3*y**2 - 21 + 24 - y + 2*y**2 + y**4 - 2*y**2 as o*y**3 + p*y**2 + z*y + c + m*y**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(2*d - 4*d + 3*d) + (4 + 1 - 11)*(2 - 3 - 1)*(d - 1 + 1).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 4*m**3 - 394*m - 81*m**3 + m**2 + 2*m**2 + 395*m to b*m + z + n*m**2 + q*m**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 54.7. What is the closest to 38 in -1, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -48279, -96553, -144827, -193101, -241375, -289649?\n\"Answer: -48274*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -2*c**3\/3 + 55*c**2 + 228*c + 461. Let y(n) = 0. What is n?\nAnswer: -2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51351, -51351, -51355, -51363?\n\"Answer: -2*s**2 + 6*s - 51355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*l - 9. Suppose 6*z + 9 + 3 = 0. Let o = l + z. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1806171 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 24 - 3\/40*s**5 - 243\/8*s - 3\/2*s**4 + 27*s**2 - 23\/4*s**3. Let u(c) = 0. What is c?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51\/2 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -2544?\nAnswer: 2539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 12*g = -2075980. Suppose -4*z + 4*t = -g, -z + 4*t + 465733 = -53247. What is z rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-84)*-122)\/(91\/(-273))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-4 + 57\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/4)\/((-38)\/(-152)). Let w(m) = -m - 1. Let r(t) = 90*t + 8. Let h(d) = -r(d) - 6*w(d). What is the tens digit of h(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45\/14? (a) -1\/4 (b) -6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 3, 73, -165 in decreasing order.\nAnswer: 73, 3, -38, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/23)*g)*g**(-7)*g)\/((g*g**(-5))\/(g*g\/(g*g\/((g*g\/(g*g\/g**(-10\/3))*g)\/g))*g*g*g*g)) assuming g is positive.\nAnswer: g**(-167\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22745\/3*m + 4550\/3 - 25\/3*m**2 = 0. What is m?\nAnswer: -910, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 9*n - 9. Suppose 4 = 3*p - 2. Let s(g) = -2*g + 0 + 4 - 2 + g**2. Let q = -297 - -306. Determine p*a(b) + q*s(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.1 - -22. Let j = 1 - k. What is the third smallest value in -0.3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17167595.\nAnswer: 5, 547, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(200) + sqrt(200) + 0 + sqrt(200)*1)**2 + ((-1*sqrt(242))**2 - (-2*sqrt(2)*-5)**2).\nAnswer: 10842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -23. Let l = -10.99792 + z. What is l rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 5640228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (-1 + sqrt(700) + -3 - sqrt(700)))**2.\nAnswer: 80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 23*w + 12 = 3*o + 12, 3*w = -3*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 657 and 49372893.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsdj when four letters picked without replacement from {s: 1, j: 8, k: 2, d: 2, x: 1, z: 1}.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.4048 tonnes in grams?\nAnswer: 819404800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 151 + (11\/4 - (-33)\/(-44)). Suppose 2*r - 5*q - 55 + 16 = 0, 0 = -4*r - 5*q + m. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 2, v: 1, k: 2, y: 2, w: 4, l: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 + 150. What is the nearest to q in 1, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3729 - 3729. Let b be ((-3)\/5)\/((-6)\/(-30)). Sort w, b, -8, -2.\nAnswer: -8, b, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1415256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 27*z - 13. Let d be a(6). Put -5, d, -15, 2 in increasing order.\nAnswer: -15, -5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.27 + 19.6. Is c at least -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2*(-28)\/1071\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7594560934 to four dps.\nAnswer: -1.7595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 39494.22ng?\nAnswer: 0.00003949422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)*4\/4. Suppose 3*l - 201 + 42 = f. What is the units digit of 2*(l - -1) + 2*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.7 - 1.3. Let u = 1122 - 1126. What is the closest to 1.1 in u, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Let k(r) = -5*r + 6. Let u be k(g). Let f be ((-49)\/u)\/((-1)\/(-6)). Calculate the greatest common factor of f and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (1 - 0)) + 30. Factor 14*a + 6*a**2 + f*a**3 - 55*a**3 - 12 + 23*a**3 - 2*a**4.\nAnswer: -2*(a - 1)**2*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -41. Let s be (2 - -2) + -24*v. Let p = s + 33. Solve -2*h + 3*h - 3*x = 1, 3*x = -5*h - p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/2*155316\/26187?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 1030 = 1022 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13.03 times -0.089\nAnswer: -1.15967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.1. Let c = 7 - 6. Let m be c - 3 - (-52)\/32. What is the closest to x in 1, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 3)*(18*z**2 - 19 + 5312*z - 5312*z) in the form f*z**2 + w*z + h and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 2. Let r be w(-2). What are the prime factors of (-22)\/(-4)*r\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -226117619 and -1.1.\nAnswer: -226117620.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 15933208976.\nAnswer: 15933208975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z + 2. Let i(y) = y - 1. Let v(h) = -b(h) - 2*i(h). Let p(a) = -6*a - 17*a + 28*a. Give v(p(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-85))\/3*-3. Let y = 0.545 - 0.69. Let d = -0.055 + y. Which is the second biggest value? (a) d (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, a: 2, z: 2, l: 1, w: 1}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1205*c - 95*c**3 - c**2 - 46*c**3 - 1205*c + 3*c**2 as j + a*c**3 + w*c + v*c**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 5.2577.\nAnswer: -8.41232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -50343*x + 4*x**3 + 50343*x - 9*x**3 - x**2 - 2 + 131*x**4 as b*x + s*x**2 + p*x**4 + l*x**3 + i and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and -71\/2470616.\nAnswer: 2470616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 4*y**2 - 2*y + 2. Let c be l(3). Let p = -8 - c. Let n = p - 3. Solve 2 = -2*g + 7*g - n*w, 10 = -5*g + 5*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let c(r) = 59*r**2 + 102*r**2 - 18*r**2 - 28*r**2. Calculate c(p(t)).\nAnswer: 460*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1813 + 5308 = 0. What are the prime factors of j?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {f: 1, o: 1, y: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = 6*y. Let h = y - 5. Let p(j) be the second derivative of j**5\/20 + 2*j. Give p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((c - 5*c + 3*c)*(3 + 3 - 7) + 6*c + 0*c - 3*c)*(-c + 0 + 0) to d*c + k*c**2 + f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**2 - 2839*y + 29882. Determine h(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1377 + 1380. Calculate the least common multiple of b and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - s + 4. Give y(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186\/11 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 43*b. Let m(s) be the first derivative of -2*s**3\/3 + 21. Calculate m(w(u)).\nAnswer: -3698*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.7285 - 416834044.\nAnswer: -416834055.7285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93501118.95043 + -93492553. Let w = h + -8566. Let l = w + 0.05. Round l to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -976, 4, -2.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + (12 - 6) + -4. Let g be 30*2\/((-22)\/(-6) + k). Which is greater: g or -48?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.3 - 52. Let i = -0.23 + -0.27. Which is the nearest to 1.6? (a) 0 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 - 146 = 63*t. Put t, -20, -18 in descending order.\nAnswer: t, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/13 - 7880458*k**3\/13 - 7880468*k**2\/13 + 31521832*k\/13 + 31521840\/13 = 0. What is k?\nAnswer: -2, -1, 2, 3940230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 3*u**2 - u + 5. Let q be m(3). Let a be 7\/(-77)*q - 70\/(-22). Solve -6*t = 5*x - a*t - 2, 0 = 3*x - 3*t + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*(-14)\/112*-8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 7711293 + 7711293 - 2*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898154 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-9) - 4\/18. Let z(y) = 2 + y**3 - 5*y**2 - 2 + 5 + o*y. Let h = -1786 + 1790. Determine z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -96.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*y = 11, -2*n + 8*y = 11*y + 1 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.84.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**36\/(d*d\/(d*d**(4\/21)\/d)) assuming d is positive.\nAnswer: d**(718\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10573 and 1261?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 9*r - 3 + 7 in the form n + w*r and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 3*p**2 + 2*p**2 + (3*p + 0*p - 2*p)*(-1 - 2*p + 1) + 2*p**2 - 3*p**2 - 2*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2 - 11*j + 18*j - 14*j - 4*j**2 - 2*j**2. Let r be n(-4). Let p = r - -312. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 0) + (-650)\/(-4 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -42015. Let c = m + -517. Suppose -5*v - c = 4*k, -3*v + k + 4272 = 12375. What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 75?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p + 37. Let h be b(-5). Suppose h*v + 4*u - 2590 = 0, v + v - 5*u = 2572. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8526759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/((-3)\/9). Let o = -2 - w. Suppose 4*q = 10 - 26, -4*z = -3*q - 28. Sort o, z, 3 in increasing order.\nAnswer: o, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*d + 3*w + 298, 3*w + 3 = 0. Let v = d + 190. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1469, 743, 7 in decreasing order.\nAnswer: 1469, 743, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. What is the remainder when 7 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 10*y - 30. Suppose 0 = -0*r - 5*r + 4*i + 203, -5*r = -3*i - 201. What is the remainder when r is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q**2 - 2. Let w(r) = -2*r**3 + r**2 + 3. Let j(f) = 3*m(f) + 2*w(f). Let h(k) = -6*k**3 - 5*k**2 + k - 3. Determine -h(v) + 5*j(v).\nAnswer: v**3 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (0 + 10 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 16*d**2 + d - 17. Let t be o(16). Let j be ((-19)\/(-5))\/(t\/(-5)). Let v be j\/(-38)*(-1)\/2. What is the second smallest value in v, 0, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ita when three letters picked without replacement from {i: 2, a: 3, e: 3, l: 3, s: 1, t: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1702*c - 3295. Calculate the remainder when 17983 is divided by y(-2).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-81)\/(-12) + -4 - (-1)\/4. Let g(v) be the third derivative of -1\/15*v**5 + 0*v**4 + 0*v + 0 - 3*v**2 - 1\/3*v**d. Differentiate g(j) wrt j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4820? (a) -2 (b) -2\/137 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 + 194.000000648. What is p rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 6*t**2 + 5*t + 3. Let j = 2 + 3. Let c be l(j). Suppose 3 = -c*u + 12. Let y(x) = x**3 - 2*x**2 - 3*x + 3. Give y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63263?\nAnswer: 41, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 32) + -24 - -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 4795028?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2187) + sqrt(2187))\/sqrt(9) - (1 + (sqrt(48))**2 - (-5*(sqrt(3) + sqrt(3)*1))**2).\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let b = 4 - 3. Let c be -2 + (b - -8 - 0). Solve -2*n + c = 3*k, 2*n + 0*k = -h*k + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.4. Let u = -2.96 + -0.04. Let h be 1 - -1 - (-7)\/((-140)\/36). Which is the nearest to -1? (a) u (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 511 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*l = -5, 0 = 5*n - 0*n - 5*l + 20. Let k = 2 - -0.4. Let f = k + -2. Which is the third smallest value? (a) 1\/4 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**2 + 7*z. Let q(v) = -13*v**2 - 6*v. Suppose -92 - 484 = -96*u. Give u*q(j) + 5*n(j).\nAnswer: -13*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (2138\/3)\/(10\/15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61254.84 centuries in years?\nAnswer: 6125484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2) - 3\/(-234)) + 320\/240. Which is the fourth biggest value? (a) v (b) 4\/5 (c) -1 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 4:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744272.\nAnswer: 2, 3, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + (-5 + 4 - -1 - -197)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -405 - 479 - 1240 + 1040*s**2 - 1042*s**2 + (1 + 3 - 2)*(-4 - s**2 + 4).\nAnswer: -4*s**2 - 2124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 1. Let o be 0\/(-16) + (-27)\/(-1). Let p = -30 + o. Determine l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82016 + 2788283\/34. Is x < -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(14\/5)*s\/s**10*s\/s**(-2\/19)*s\/((s**(-1\/6)*s)\/s) assuming s is positive.\nAnswer: s**(-2239\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 26. Let m(w) = 4*w - 26. Let c(o) = -6*m(o) + 7*s(o). Find the first derivative of c(v) wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -822, 12, 147 in decreasing order.\nAnswer: 147, 12, 5, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f = -59*f - w + 11, -12 = 2*f + 3*w - 13 - 32 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 458615213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 + 26 + (-130 - -117)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 2*t + 2*t)*(0*t**2 - 3*t**2 + 0*t**2) + (-2*t - 2 + 2)*(-2 + 3*t + 2)*((0 - 2 + 1)*(4 - 4 + 2*t) - t + 0*t - t - t + t + 2*t).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-6))\/((o\/o**(-2\/11))\/o))\/(o**(-3)\/o**(6\/7))*o**7\/(o*o\/(o*o**(-7)*o*o))*(o**(-1))**(-8) assuming o is positive.\nAnswer: o**(1592\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/20 + -37\/20. Which is the nearest to -1? (a) -3 (b) -2 (c) q (d) 0.095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 8064 = -11*q - 9012 for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 131*m - 17 - 51*m + 124*m - 191.\nAnswer: 4*(m - 1)*(m + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/8 + 9*z**2\/2 - 8*z. Let b(w) be the first derivative of m(w). Let u(t) = 3*t. Determine b(u(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3*w - 2*f**3 + 3*f**2*h**2*w + 97*f*w - 3241*h**2 wrt w?\nAnswer: 4*f**3 + 3*f**2*h**2 + 97*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - 5. Suppose 3*c - 29 = -o, q*o + 0*c - 4*c - 48 = 0. Solve t + 4*t = o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = n - 13, 4*o - 4*n = -n. Suppose -o*r - 4*j = -658, 2*j - 110 = -r + 112. What are the prime factors of r?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(-1 - -9). Let f(z) = z**3 - 5*z**2 + 5*z - 2. What is the units digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207 + -217 + (3 - (-2 - -7)) + 75.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 1179 = -1649, 0 = -4*k - 16*x - 1508 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 40, 6, -50, -134, -252?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkab when four letters picked without replacement from {a: 2, k: 5, b: 5, j: 3}?\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33889.16km to centimeters.\nAnswer: 3388916000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286 - 149. Calculate the remainder when p is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -8 + 504\/60 + -3 + (-403179)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 40*r**2 + 4*r + 2. What is the remainder when l(-1) is divided by ((-42)\/8)\/((-6)\/24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -32, -4, 46, 124, 236, 388?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -68*l - 359. What is z(-7)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 0 - -2 - 1. Suppose -47 = -3*k - g. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7876, -7865, -7852, -7837, -7820, -7801, -7780?\n\"Answer: k**2 + 8*k - 7885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let c(m) = -3*m + 2. Let n(k) = 6*k - 5. Suppose 2*p + 6 = 10. Let t(x) = p*n(x) + 5*c(x). Calculate t(f(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 2. What is the second derivative of -2 + 4*g**y - 3*g + 2 wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eml when three letters picked without replacement from llxnxxenemnnm?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(33)\/(sqrt(11) - sqrt(704))*3 + (sqrt(36) - sqrt(576)*1)\/(sqrt(108)\/(-2*sqrt(9))).\nAnswer: -3 + 39*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -4*a. Let g be a*3*1\/2. Suppose -5*j = g*z + 2*z - 45, -21 = -j + 3*z. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*p - 3)*(40 - 44 + 72 + 159).\nAnswer: -681*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((147\/7)\/7)\/((-39)\/(-2912)*4)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403058 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 0*x**2 - 2*x**2 in the form z*x + w + f*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 1. Let g(j) be the second derivative of -j**4\/12 - j**2\/2 - 8*j. Determine -6*g(w) + 4*y(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (6 - (-8 + 1 - (15 + -27))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d - 41. Let b be i(4). Let w(t) = -110*t**3 - t**2 - 4*t - 2. What is the tens digit of w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 322, 1202, 2646, 4636, 7154, 10182, 13702?\n\"Answer: -3*r**3 + 300*r**2 + r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00065 + 0.02065. Let z = -0.1 - -0.3. What is the nearest to -1\/5 in t, -4, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjdchkkddddcfccf. What is prob of picking 1 f, 1 k, and 1 h?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75975957, -75975964, -75975977, -75975996, -75976021, -75976052?\nAnswer: -75976089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19\/5*m - 21\/5*m**2 - 6\/5 - 1\/5*m**4 + 9\/5*m**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 20 = 0. What is the tens digit of ((-14)\/8)\/(t\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94384.\nAnswer: 2, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 179872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 16, 1 in decreasing order.\nAnswer: 16, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 2280 = -31*j. Calculate the least common multiple of 48 and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 11) + (12 + -8 + (2 - -10) - -8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.5 to 0 decimal places.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 2 + -37 + 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/3 - 5*h**2\/2 + 290. Let b(j) = -7*j**2. Calculate a(b(k)).\nAnswer: -49*k**4 + 35*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8431.2 - 8431. Sort -5\/6, 23, f.\nAnswer: -5\/6, f, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a factor of 188540192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 89*y - 134*y. Let p(r) = -3*r + 13. Calculate p(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 115, 25, -115, -305, -545, -835?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (491 - 491 - 392*f + 0 - 1 - f - 2 + (-1 + 2 + 1)*(f + 2*f - f))*(-1 + 3 - 4*f + 5*f).\nAnswer: -389*f**2 - 781*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (359677\/(-148))\/(0 - 15\/(-12)). Which is smaller: z or -1943?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 10144004?\nAnswer: 10144003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13825750399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 15. Let k = 11 - g. Solve 19 = 3*w + k*f, f - 4*f + 21 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13871 + -6201. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5148 = -31*y + 25*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 0, 2*d - 5*t - 1482 = -4*t. Calculate the smallest common multiple of 185 and d.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = -i, -2*c = 2*i - 86. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + 15)*2\/5. Solve -2*t - f*t - j + 21 = 0, -5*t + 30 = 5*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 62. Calculate the highest common factor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 62\/3, -0.2, 2, -3, -2?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 825 - 582. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/9)\/((-92)\/(-69))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t*u*z - t*u + 2*t*z**3 + t*z + 15*t - 62262*u*z**4 - 3*u*z**2 - 145*u*z + 4*u - 6*z wrt z.\nAnswer: 12*t*z - 747144*u*z**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215266 or -1506858\/7?\nAnswer: -215266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 18. Let p be o(-8). Let b(y) be the third derivative of 7*y**4\/12 - 5*y**3\/6 - 7*y**2. What is the remainder when b(p) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143226741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1154946158*g**2 - 183213515*g + 1.\nAnswer: -2309892316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -2\/3, -4, 0, -230?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -258 + 173. Let w = -83 - r. Solve -3*k = -w*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)*2*-6)\/(sqrt(30)\/((sqrt(108) - sqrt(108)*-1) + sqrt(108))).\nAnswer: -216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2900 by -217.\nAnswer: 2900\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/120 - 7*b**5\/60 - b**4\/24 - b**3 + 605*b**2. Suppose -6 = -2*h, s + h + 4 = -0*s. Give o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/112*(-2)\/10.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 53917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3091581381 to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + h**3 + 17 + 119.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13564*447\nAnswer: -6063108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*w - 198 + 197 + 1180*w to a*w + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 9:31 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*4\/(-6) + -2. Let d = -4 - n. Suppose -2 = d*o - 22. Calculate the least common multiple of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.68996t in micrograms?\nAnswer: 72689960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*z + 925 = 0, 5*z + 515 = 2*a + a. Let p = -9 - -12. Suppose a = 5*l - 5*q, 2*q - p*q = -3*l + 106. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (104\/(-130))\/(2\/(-305)). Suppose 3*i + j = 4*f - 55, -f + 3*i + 42 = 0. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*o + 9999 + 4071 = -263*o for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 16 = -4*d, 7*d + 6 = 5*z + 3*d. Let g(l) be the second derivative of 1\/16*l**4 - 1\/80*l**5 + 1\/8*l**z - 1\/8*l**3 + 0 + 21*l. Factor g(n).\nAnswer: -(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 3. Let f(r) = -3*r + 5. Let m(d) = 5*f(d) + 8*u(d). Let q(x) = 3*x - 2. Let i(k) = 4*m(k) - q(k). Give i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 42. Let p = n + -12.1. Which is the nearest to 3\/2? (a) 2\/5 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1826, -7228, -16198, -28736?\nAnswer: -44842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10459*r**2 - 6523*r.\nAnswer: -20918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 + 2*k + 4. Let y be p(5). Let n(b) = -2*b**3 - 14*b**2 - 7*b - 6. Is n(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12054\/23 + 524. Let g = 0.36 + 0.04. Let u = 0.8 - g. What is the third biggest value in u, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 4*k - 3*k - 2*k to the form b + s*k and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8079 * -2\nAnswer: 16158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2725 is divided by 345.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82.26138ml?\nAnswer: 0.08226138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/20 and -137\/2382?\nAnswer: 23820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 421*r**2 - 20*r. Let n(o) = 321646*o**2 - 15290*o. Calculate -1529*h(b) + 2*n(b).\nAnswer: -417*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 - 10*k**3 - 16*k**2 - 8*k = 0. Calculate k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 3160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 4 - (82 - 92) - -28.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:55 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -594.113 - -1.113. Is d less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**2 + 43*g + 10*g + 3*g**2 - 6*g**2 - 142*g to j*g**2 + f + l*g and give l.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 227, -55.2, -1\/7, 0.03?\nAnswer: -55.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 6*b + 7. Let o be n(-7). Let a = o + 77. Suppose -2*r - a = -3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**5\/20 - 5*y**4\/12 - y**3\/6 - y**2\/2 - 3*y. What is i(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or -5087?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 344 + -342. Calculate the least common multiple of j and 317.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184067927282*x**2\/7 + 155325952*x\/7 + 32768\/7 = 0. Calculate x.\nAnswer: -128\/303371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 111*h - 213*h - 1 + 108*h.\nAnswer: 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4697414 is divided by 580?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130 - 7?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005071 rounded to 6 dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1565 + -4185. Let i be j\/90 + 11 + 1*5. Which is greater: -14 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(-15)*(-14)\/7.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/(-7) - -4)*6\/(-4). Solve -4 = 2*p - v*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001062243 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1 + 4 + 4 + 89*r**2 - 7. Let w(a) = -a**2. What is w(o(p))?\nAnswer: -7921*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (14 - 8 - 3)) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-770)*(-3)\/45*4\/4.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1883 - 1859. Suppose u - 11 = 7. What is the least common multiple of u and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151415 + -345?\nAnswer: -152204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(1 - (-5)\/(-6))*(847 + -838). Solve w*i = 5*b + 8*i - 25, 25 = 5*b - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/(c\/(c\/(c*c**(-14))))*(c**(4\/5))**(-12) assuming c is positive.\nAnswer: c**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.3 + 29.3. Let d = 94 + a. Let r = d - 118.0000038. Round r to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1680, -5, -1, 0, 3\/4, 2\/9 in ascending order.\nAnswer: -1680, -5, -1, 0, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085320923 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.1 - -20. Let z = 0.5 - m. Let q = 0.2 + 0.3. Which is the second smallest value? (a) 0.3 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 48. Solve -z = 5*d + h - 5, 0 = -5*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -38. Suppose 0 = 5*y - 26 - j. Let v be (-54)\/((-1071)\/(-459)*1\/(14\/(-4))). What is the greatest common factor of y and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4 = 2*m, -p = 2*m - 3*p + 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttitntnittnnttwn. What is prob of sequence nit?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 65*f**4 - 22*f**4 + 2*f**3 - 18*f**4 - 2*f**2 - 22*f**4 + 0*f**3 + 6*f to the form v*f**4 + s + y*f**3 + o*f + g*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*n = -1302. List the prime factors of n.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/72 and -117\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {b: 5, c: 5, a: 1, x: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198 + 212. What is the third derivative of -96*o**2 + 3*o**5 + 8*o**4 - 157*o**2 - 6*o**4 - o**5 + y*o**4 wrt o?\nAnswer: 120*o**2 + 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 978*u**2 - 847*u**2 - 423*u**2. Let b(i) = -4*i**2. Determine q(b(l)).\nAnswer: -4672*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -0.28 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8 and (-1798)\/(-88) - (-4)\/(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105497 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/2 + 4*l**4 + 5*l**3\/2 - 20*l**2 - 2*l + 16 = 0. What is l?\nAnswer: -2, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(24)*-4).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6271.1734 - 6270. Round u to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 3*w**2 + 1. Let x be r(-3). Let f(u) = -2*u - u**2 - 3*u**3 - u**2 + 4*u - 1. Calculate f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/(454\/(-3178))\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*r - 50 = 0, 2*j + 3*r = 16 + 45. Let h be 12\/(-10)*(-8940)\/18. Let c = h + -351. What is the greatest common factor of c and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*q - 30*q - 110*q + 505 + 503 - 1005 as d + v*q and give v.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 3*z. What is the least common multiple of 34 and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11) + 4 - (sqrt(22)\/sqrt(2) + 3) - ((sqrt(275) - (-5*(sqrt(275) - (sqrt(275) + -1)) + sqrt(275)))**2 + sqrt(275) + 1*sqrt(275) + 3).\nAnswer: -10*sqrt(11) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -49626 - 0\nAnswer: -49626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 2*o - 1539 + 1428.\nAnswer: o - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*t - 24865, 5*p + 28 - 3 = 0. List the prime factors of t.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1032)\/43)\/(-240)*910?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*g + 9. Let s be ((-1)\/(g\/(-6)))\/(3\/1). Solve -s*m + 2\/3 + 2\/3*m**3 - 2\/3*m**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = -g. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 6*b**2 + b + 3. Let r(m) = -4*m**3 - m**2 + 4*m - 2. Let g be r(1). Determine u(g).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:56 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001001 (base 2) in base 9?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 0, -2*d + a = -8. Let p = d + -4. Let h = 2981 + -324927\/109. Is p greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/9*15\/18*(-243)\/135\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((196\/(-35))\/7)\/(2\/375). Let z = -159 - c. Let t(d) = -d**2 - 9*d + 5. Calculate t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43\/2? (a) -3\/4 (b) -19 (c) 2\/11 (d) 3\/8 (e) 18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687358111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2 + (-8 - 3). Let t be (1\/2)\/((-1)\/v). Suppose -4*j + 7*j = t. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*k - 111423, -4*a + 5*k - 8*k + 89139 = 0. List the prime factors of a.\nAnswer: 3, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3702\/9*(-18)\/(-28). Let m = p + -264. Let d = -63.79 + 63.63. What is the third biggest value in m, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 167*i + 143. What are the prime factors of k(58)?\nAnswer: 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {g: 3, b: 2, r: 6, y: 8}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3 - (-6 - -1)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(2\/(-3))*8\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/2 of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let z be (-4)\/26 - 3009\/(-39). Suppose -s - 4 = -0*s, i = 5*c + 2*s - z. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 72. What is the least common multiple of 6 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*f = 6*v - 364, 4*f - 356 = -4*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1097 - 1097.00000671. Round l to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**4 - 4*b + 5*b**4 - 3*b**4 + 7 to x*b**2 + k*b**4 + u*b + t + n*b**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -4\/3, 17, 1221?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-9\/4)*((v**(3\/4)\/v*v)\/v)\/v)\/(v**(1\/2)*v)**3)**(-1\/45) assuming v is positive.\nAnswer: v**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55634 + -55633.5. Let g be (-4)\/(-6)*(-6)\/(-4). Which is the smallest value? (a) 2\/9 (b) w (c) g (d) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - (-20)\/3)\/((-2)\/(-6)). Let v(t) = 272*t**3 + t**2 - 2*t - 5. Is v(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 8\/5 (b) -0.4 (c) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h - 8. Calculate j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-345)\/207).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/2 + m**5\/15 - 38*m**3\/3 + 8*m**2 - 2. What is the third derivative of d(p) wrt p?\nAnswer: 2520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1225 by 49.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 0, h + 8*b + 109 = 13*b. Let d = h + 808. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 + 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 = 6*j. Let d(p) = 2*p**2 + 0*p**j - p**2 - 5*p**2. Let k(w) = -2*w**2. Calculate k(d(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 0)*(-3*u + u - u + 1)*(739*u - 113*u - 267*u) in the form l*u + o + b*u**2 and give b.\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12521 - 12521.5. Which is the smallest value? (a) -0.4 (b) o (c) 70 (d) 2 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h. Let c(q) = 2*q - 96. What is c(m(r))?\nAnswer: 42*r - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 + -10.3?\nAnswer: -10.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14698511, -14698510, -14698509?\nAnswer: -14698508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5\/5 + 6452*o**4\/5 + 2801736*o**3\/5 + 160334352*o**2\/5 + 355210272*o + 2933076096\/5 = 0. What is o?\nAnswer: -774, -51, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {x: 13, b: 3, c: 4}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-50)*-10*900\/(-100)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 12281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 0, -20\/9, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*i = -z + 60, 3*z - i = 185. Let s = -85 + z. Let h = s + 31. What is the remainder when h is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 greater than or equal to 3\/7055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/20 - 267\/(-15). Suppose c = b + 5*b. Solve 3*y - b + 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g - 0*g. Suppose 2*q = -2*k + 3*k - 8, k = -2*q - 4. Calculate the highest common divisor of k and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*(-2 - 16\/(-12)). What is the highest common divisor of 66 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = c, 2*c - 1 = 7. Suppose 16*o - 1660 = 404. Let a be 3\/(-8) + o\/24. Sort a, k, -2 in descending order.\nAnswer: a, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 2*o**2 - 95*o + 3. Let g be p(0). Solve -2*r - i = -4*i + 16, -g*i + 10 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d6b + -5c?\nAnswer: d0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 11231373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16650 and 559440?\nAnswer: 2797200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**3*t**2*v + 13*q**3*t*v**2 + q**3 - 6*q*t**2 - q*v**2 - 19*q*v + 217*t**2*v**2 + 2*t wrt t?\nAnswer: -10*q**3*v - 12*q + 434*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295 - -423. Let j = 126 - s. What is the closest to -1 in 3\/5, j, 0.1, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {q: 6, t: 4, z: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65776 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, 3\/10, 0, 0.44?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7624, 7616, 7608, 7600?\nAnswer: 7592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4451 times 17878?\nAnswer: -79574978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**2. Let j(i) = -i**2. Let s(b) = 2*a(b) - 21*j(b). Let d(y) be the second derivative of -1\/6*y**3 + 0*y**2 + 2*y + 0. Determine d(s(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/51*(-6)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*c + 111*c - 2668 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 10*v**2 - v - 11. Let z be w(-10). Let t be 3\/(-10)*(-8)\/(-6). Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/78 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004970934 rounded to seven decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1100351 - -3779661. Suppose 0 = -4*i + 4*p + b, -6064477 = -4*i + p - 1184474. Round i to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 16*p - 9*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 791853 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (56 - 15) + -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 198*n**2 - 105684*n - 25633. Determine p(534).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v. Let q be x(1). Suppose -5*o - 62 = 4*p - 177, -q*p = -3*o + 32. Let g(b) = -b + 1. Calculate the remainder when o is divided by g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 323 - 327. What is the units digit of (4552\/32)\/((-1)\/i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-20)\/(-16)*(-9)\/(-65).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/5 (b) 131.9 (c) -0.4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9740, 12061, 15930, 21347?\n\"Answer: 774*j**2 - j + 8967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -42 - 12. Let k = -318 + 335. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 130864325?\nAnswer: 130864325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -78*u - 639. Give g(-6).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50.93033mg?\nAnswer: 50930330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1133 + 21?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271 is divided by 570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/((-7)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 45*a**2 - 45*a - 19. Let p be q(-44). What is the highest common factor of p and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -810371, -5 in descending order.\nAnswer: -5, -144, -810371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 749\/10 - -1 - 136\/(-1360). Which is bigger: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - 0?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -355, 614, 2953, 7118?\nAnswer: 13565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 220 and 220 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 109, 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 147 = 251 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 56879*q**3 + 322*q**2 - 161*q + 161. Let x(h) = 711*h**3 + 4*h**2 - 2*h + 2. What is -2*o(r) + 161*x(r)?\nAnswer: 713*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.2, -53, 2\/53, 394?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 4)*(c**2 + 0*c**2 + 2*c**2)*(-2 + 0 + 3) to u + n*c**2 + m*c and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 2*b**2 + 2*b + (b + b + b)*(0*b + 2*b + 0*b) + (0*b + 0*b - 4*b)*(-3*b - 3*b + 2*b) as t*b + g*b**2 + m and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17468.11473 - 17468. Let r = c + -0.113. Round r to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 5?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (-12 - 0 - (-42 + 38)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1569, -3032, -4493, -5952, -7409, -8864?\nAnswer: -10317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 + -0.411. Let w = 0.012 - k. Let d = w - 0.082949. Round d to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15671 + 0.12671. Which is the fourth biggest value? (a) -2 (b) v (c) 42 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26773 divided by 5\nAnswer: 26773\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d**3*q + d**3 + 18*d**2*q + 4*d*q**2 + 45*d wrt q.\nAnswer: 5*d**3 + 18*d**2 + 8*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 127, 256, 383, 508, 631?\n\"Answer: -x**2 + 132*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*i - 2*z - 10, -5*i + z + 5 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -31*k**2 + 9*k + 40. Let z(b) = -88*b**2 + 25*b + 120. Let x(i) = -17*v(i) + 6*z(i). Suppose x(h) = 0. What is h?\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 0 + sqrt(5) + sqrt(20)\/sqrt(4) + -4 + -2.\nAnswer: -6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 142148.\nAnswer: 5\/71074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/270*-93 - -25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134534*x**4 + 11*x**3 + 145*x + 67?\nAnswer: -1614408*x**2 + 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**2 - 14*w - 19. Let o be c(7). Let j = o + -377. What is the remainder when 88 is divided by j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from pqrrrrrprrph.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57240 and 2204217.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 1136?\nAnswer: 27264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 98. Let v be q(-48). Let b(i) = 77*i + 160. What is b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429689 divided by -1\nAnswer: 429689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*v - 188*v - 154*v)*(v + 3*v - 2*v + v - 2*v + 2*v + (0*v + 4*v - 2*v)*(-2 - 3 + 3) + (-2*v + 2*v + v)*(-1 + 2 - 2)).\nAnswer: 808*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10928 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l**2 - l - 4. Let w be y(3). Let z(r) = -3 - 8*r + 0 - w. List the prime factors of z(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*j - 6, -j + 2*j = z + 9. Let x be 4\/((-5)\/z*4). Is 25624\/40 - x\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 1\/10*z**4 + 1\/5*z**2 + 34 + 0*z + 4\/15*z**3. Factor q(g).\nAnswer: 2*g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 28 - 31. Suppose 126 - 121 = u. Sort u, 0, -5, l in increasing order.\nAnswer: -5, 0, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 384*a + 1426*a - 3037*a - 2332*a to v*a + d and give v.\nAnswer: -3559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -63656751?\nAnswer: -63656751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126684839*t**3 - t + 559934 wrt t?\nAnswer: -760109034*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6819\/8 - -852. Let j = 62.7 - 62. What is the nearest to 0 in x, j, -0.1, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1377)*-1*-6 - (-2*sqrt(1377)*4 - sqrt(1377) - (3 + sqrt(1377) + 0 + sqrt(1377))))**2.\nAnswer: 1530*sqrt(17) + 397978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, -5, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/5*(-2)\/(-6)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.8. What is the closest to 1 in o, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-1800)\/(-35))\/(-12) + -3 + 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-9) - (-87)\/9. Let y(n) = -n**3 + 9*n**2 + 11*n - 7. Let p be y(o). Suppose 0 = 4*r - p*g + 17 - 44, 5*g + 34 = 3*r. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 7}. Give prob of picking 2 l and 1 r.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(891) + 0 + (2 + sqrt(891) + 4)*-1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 66.4. Let s = v - 0.59984. What is s rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*z + 20, -2*z - 3*z = 2*q - 2. Find the second derivative of -2*a + a**z - 2*a + a**2 wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -12 + (12 - -12) + (-1 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43469, -43617, -43803, -44027, -44289?\nAnswer: -44589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105978280579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41574 (base 12) to base 11\nAnswer: 5924a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2, -63*u - 3*x - 69420 = -66*u. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22617.9 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c + 1. Suppose -50 = 11*h + 14*h. What is d(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0315 or 1\/36663?\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 1:37 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:19 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 + 2*a**2 + 0*a**2)*(-41*a + 469 - 469) to the form m*a**3 + z*a**2 + q*a + j and give m.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/113 or 2\/91?\nAnswer: -48\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 71 + 0*q**2 - 61 to the form a*q + k + n*q**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjm when three letters picked without replacement from mmjmmjmjmmmmmmm?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71335377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2462, 1, -1 in descending order.\nAnswer: 2462, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + 1*sqrt(891))**2*-1.\nAnswer: -1790 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 8*l - 7. Let j be t(-8). Suppose 9*p - 2*b + 3 = 4*p, -2*p = 5*b + 7. Put -4, j, p in descending order.\nAnswer: p, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -438.\nAnswer: -437.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249.001252 - 249. What is y rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*y**3 + 43*y**2 - 43*y**2 + 197*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 937*i. Let d(p) = 2*p**2. What is v(d(u))?\nAnswer: 1874*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 342\/79 (b) 2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*((4 + 4 + sqrt(1300)*-1)**2 + 2)*-6*6.\nAnswer: -196704 + 23040*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -0.16, 0, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*d + 704, 0 = 25*d - 28*d + 3*y + 408. Solve 20*c - d = 92*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52532757 - 4?\nAnswer: -52532763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.28 - 85.58. What is y rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.233392 rounded to 4 decimal places?\nAnswer: -0.2334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6389136.5 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -9180. Suppose -2*z - 2*t = -0*z - j, 1 = -t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.008 - -0.292. Sort 2, 0, v in increasing order.\nAnswer: 0, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30103 (base 4) to base 10\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672558 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -233 (c) -7769 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2989*n**2 - 463*n + 175. Let g(t) = 1494*t**2 + 231*t - 97. Let c(y) = 9*g(y) + 5*u(y). Find the second derivative of c(f) wrt f.\nAnswer: -2998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 6*f - 23 + (0 + 0 - 1)*(-2*f - 3*f + 4*f))*(11 - 46 - 23)*(f**2 - 2*f**4 - f**2).\nAnswer: 812*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282784025151 - 282784279246.9389996. Let q = 254096 + s. Let w = q - 0.061. Round w to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 16*a**2 - 11*a - 20. Let o(l) = 3*l**2 - 2*l - 4. Let v(n) = -22*o(n) + 4*u(n). What is r in v(r) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1178, -2841, -4988, -7619, -10734?\nAnswer: -14333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15041713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756 and 1053297?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(48)*1))\/(sqrt(88)\/(-4*sqrt(11)*4)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n + 67. Let y be f(10). Let s be ((-10)\/3)\/(y - 3249\/459). Is s <= 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 7*a - a - 2*a in the form k*a + h and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/100 and -179\/180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 2:44 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 78 = 111. Let o(w) = w**3 + 2*w**2 - w + 3. Calculate o(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, i: 3, x: 1, c: 1, l: 2, g: 2}. What is prob of picking 1 c and 1 i?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -64*w**2. Let b(z) = -165*z**2 + 39*z**2 + 119*z**2. What is i(b(o))?\nAnswer: -3136*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4275*s - 4*z = 4271*s - 12, 2*z - 14 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*q**2 - 90*q**2 + 129*q**2 + 45*q**2 + 168*q**2 to the form c*q**2 + o + x*q and give c.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n. Let d(g) = -g**3 + g**2 + g + 1. Let f be d(2). Let k be s(f). Factor 3*w**2 + 5 - 5*w**2 + w**k - 4.\nAnswer: (w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1470232, 1470238, 1470248, 1470262, 1470280, 1470302?\nAnswer: 1470328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*c - 19, 5*s + 0 = -5*c - 5. Suppose s*k - 12 = -3*x, -4*k - k + 8 = x. Suppose 0 = -x*a + 82 - 19. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-282)\/(-72) - -8. Let p = -2.93 + -0.07. Which is the biggest value? (a) 3\/2 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s + 223. Let x be j(24). Suppose 8*y - 175 + x = 0. Calculate the remainder when y is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 7*d + 3*d**2 - 7*d - 4. Let p be 3*2\/3*(-29)\/(-58). Let w be b(p). Solve 0*q = -w*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1105 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-2 - (-1 - 3). Solve 15 = -5*k - u*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1\/5 (c) 0 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -391 - -391.061. Let h = f - 0.0610688. What is h rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 747 - 506.5. Let x = z - 198. Let t = x + -41. Which is the biggest value? (a) -3\/5 (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Suppose -3*u + 2*u - 125 = -m*h, 0 = h + u - 55. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 4*x + x + (x - 2*x + 0*x)*(2 - 3 + 0) + (-2 + 3 + 0)*(4*x + 3*x - 8*x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37023545*s + 35682336?\nAnswer: 37023545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -225849 (base 12) in base 16?\nAnswer: -86079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1867868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.653 + 2?\nAnswer: -1.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 + (-16)\/(-3). Let s = -1057\/1388 + 4\/347. What is the fourth smallest value in 1\/4, -5, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 3072*d**2 + 786432*d.\nAnswer: 3*d*(d + 512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/529 + 1681\/24863. Let b(c) = -c**2 + 31*c. Let o be b(31). Is o less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158 (base 9) to base 13\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 - 9623*p**2*q**2 - 29*q**2 - q + 141 wrt p.\nAnswer: 3*p**2 - 19246*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 130*i**2 - 4 - 105*i**2 + 5.\nAnswer: -221*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 47650478*c - 47650476.\nAnswer: -2*(c + 1)*(c + 23825238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5196914 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -3, 2, -2, -25 in decreasing order.\nAnswer: 2, -2, -3, -25, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*((-12)\/(-9) + (-182)\/(-12)). Let t be (-11)\/u + 2\/18. Let g be (-2)\/(-4) + (-1 - 0). Sort g, t, -2\/5 in increasing order.\nAnswer: g, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 90*u + 264. Calculate z(87).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 9*t - 2, 4*t - 358 = -5*y. Calculate the remainder when 3351 is divided by y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, 1, 2\/79, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**4\/4 + 8*v**3\/3 - 74. Give f(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15624 + 16*w - 15624 + 17*w**2)*(-2*w + 2*w - w)*(2 - 2 + 1).\nAnswer: -17*w**3 - 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 46?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*n**2 + 79 + 33*n**2 + 33*n**2 - 6*n**3 as j*n + k*n**3 + q + p*n**2 and give q.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905 - 9175 = -360*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -37*z - 10. Let n be t(2). Let o = n - -96. What is the remainder when 166 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:31 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/6)\/(20\/120). Solve -2*q + x*v = 19, -4*q = -5*q + 3*v - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -548 or -549?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*c + 3. Let a(f) = -5 + c + f - 5*f. Does 8 divide a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.9. What is the nearest to t in 0.5, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 832721.7t?\nAnswer: 832721700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1104 + -1090. Calculate the greatest common divisor of 238 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 7, -5, 2 in decreasing order.\nAnswer: 7, 2, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/279 in -1\/77, -1, -1\/5?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1168390743 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 27 + 27)*(0 + 2 + t + 0).\nAnswer: -6*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:24 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 28*g**3 - 15*g**3)*(-3*g**2 + 5*g**2 + 0*g**2 + 2*g - g**2 - 2*g + (-2*g - 3*g + 3*g)*(0 + 2*g + 0)).\nAnswer: -27*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z + 1. Let h be o(2). Suppose 0 = d + 2*r + h*r - 31, 3*r + 15 = d. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21304 (base 5) in base 12?\nAnswer: a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1132590845368 + -0.03.\nAnswer: -1132590845368.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2839 or -10\/349?\nAnswer: 2839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 564408 and 3216.\nAnswer: 1128816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11131 - -2?\nAnswer: 11133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.354 + -36.954. Sort -52.8, 2\/11, k.\nAnswer: -52.8, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1827 and 2293697.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 638961371 to the power of 1\/3, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 + 5. Let f be s(-4). Solve -4*b = -3*b, -f*b = -4*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14004593141 and -0.656.\nAnswer: 14004593140.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1366297618, -1366297617, -1366297616?\n\"Answer: x - 1366297619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-8120))\/(((-1)\/1)\/7)*-2.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 254962188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 bigger than 925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239583 is divided by 529?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5571073 to the power of 1\/2, to the nearest integer?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -178, -250, -312, -364, -406?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v - 130. Let o be k(17). Calculate the greatest common factor of o and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-1071))\/((-1)\/(-3))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 - -376. Let p = 81 - t. Let k = -55 - p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 65. Suppose -2*s + 1124 = -k*w, 4*w - 6*w - 740 = s. Round w to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:36 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29665*p**2 + p + 3 + 29974*p**2 - 1 - p**3 to f + o*p + b*p**3 + r*p**2 and give r.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5708 - 4718. Is g a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-602)\/70 - (-2)\/(-5))*(-1 + (-22)\/(-6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - a. Let z(w) = -6*w + 0*w**3 + 3 + 6*w**2 - 2 - w**3. Let u(y) = -3*f(y) + z(y). Solve u(p) = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 78*c + 672. Determine i(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1274041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-1*2 - (sqrt(125)*2 + sqrt(125) + -5))**2 + 0 + -3*(sqrt(605) + sqrt(605) + 0).\nAnswer: -316*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) -10 (d) 6\/647437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, f: 12}. What is prob of picking 3 f?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:00 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6101\/4)\/(-1) - (-1)\/4. Let u = y - -1530. Let q(i) = -i**2 + 5*i - 2. Let s be q(3). Solve 0 = -5*t + h + 2, -u*h + 7 = 4*t - s*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -32*i + 13 - 6 + 158*i**2 - 24*i - 153*i**2 + 50*i. Determine m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-4)\/((-4)\/9). Let w = 0 + 0. Let c = y + w. Solve c = -4*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 731*j**2 - 15*j + 35. Let g be y(-8). Suppose -w = -18261 - g. What is w rounded to the nearest one thousand?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*b + 306 = 37*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 127*v**3 - v**2 - 3*v. Let h be d(4). Round h to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.916 - -1.516. What is the third biggest value in o, -2\/5, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 18 + 18 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4\/3)*p*p*(p\/(p\/(p*p**(1\/10))))\/p)\/(p*p**(-7)*p**(-2\/5)))\/((p**(2\/5)*p)**1*((((((p**(-2\/3)*p)\/p)\/p)\/p)\/p)\/p*p)**(-10)) assuming p is positive.\nAnswer: p**(-299\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2765, 2777, 2793, 2813, 2837, 2865, 2897?\nAnswer: 2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*o + 54. Let n = o + -66. Which is the closest to -2? (a) -4 (b) n (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 132\/(-30) - (-9)\/(-15). Let h(v) = v**2 + 5*v + 7. What is h(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3 (c) 2219 (d) 5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105952 and -1.833.\nAnswer: -105953.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.249317 - -0.249. Round t to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000285811 rounded to six decimal places?\nAnswer: -0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 197187 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -10\/39, 0.2 in increasing order.\nAnswer: -10\/39, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v\/(v**(-13)*v))\/((v**(4\/19)*v)\/(v**(-13)*v)) assuming v is positive.\nAnswer: v**(167\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 2*u**2 - 3*u**2)*(-4*u - 2*u + 4*u) + 3 - 2*u**3 - 3 + u**3 - 2*u**3 + 0*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 31 = -3*p - h, 3*h = 3*p - 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 2. Suppose -3*o + 6 = -24. Let n = 6 - o. Give y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*y - 7. Calculate the common denominator of -5*((30\/8)\/y)\/(-2) and (-1)\/3 - 250\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123308 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 24 = -4*j, 5*j = 3*n - n - 5. What is the greatest common divisor of n and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = -v. Suppose -j = -v*j. Suppose 6*b - 3*b - 6 = j. Solve 0 = 5*n - 5*z + 15, -29 = -b*n + z - 6*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49686 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1424956 = -2*l - 5*n + 247821, 3*n - 3345519 = -4*l. Let p = -291335 + l. Suppose 4554959 = -f - p. What is f rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -161. Solve f - 11 = -t*f - 2*b, 0 = 2*f + b - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 134 = 4*h, -4*r + 9*r = -5*h + 165. Let f = h - 35. Let x be -2 - (2 + -3 - -1). Sort f, 2, x in descending order.\nAnswer: 2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/4107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.0344 (b) -30 (c) 2\/9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -886 + 910. Let j(q) = -q + 2*q + 20*q + 27*q. Let i be j(2). What is the highest common divisor of f and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.7. Let n be (-24)\/32*(5 + 1 + -5). Let t be 4\/1*2\/12. Which is the second biggest value? (a) h (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16506882 and 8646462?\nAnswer: 181575702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 10 = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*x - 44*x = -1815846. List the prime factors of x.\nAnswer: 2, 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416072625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1637043260 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15510 is divided by 500?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 less than 635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 + w**2 - 10*w**2 - 29*w**3.\nAnswer: -29*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 9191 = 9155 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - 105. Let k = 139.9999939 + c. Round k to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -2*sqrt(1452))\/sqrt(6) - ((sqrt(12)\/sqrt(3))\/sqrt(2) + -4).\nAnswer: 4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -113. What is the smallest value in b, -1\/5, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 - 168. Suppose s = -6*d - 351 + 1539. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2 = 0, -2*k + 14 = 7*t - 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11032, -43842, -98520, -175066, -273480?\nAnswer: -393762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 12. Let r = -690.14 - -690. What is the closest to -1 in 0, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 11. Suppose i - 3*k = 9 + 4, 5*i + 3*k - z = 0. Suppose i*a - 22 = 6. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/((-1228)\/308 - -4) is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23666 - -23697. Solve -g*r + w = -34*r + 2, -4*w - 5 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -922*y**3\/3 - 2531*y**2\/2 + 2*y - 551. Find the first derivative of v(l) wrt l.\nAnswer: -1844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b**2 - b + 44. Let c be q(0). What is the remainder when (-3)\/(-4*(-6)\/(-104)) is divided by 2\/(-6) - c\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2071995942 to the nearest integer?\nAnswer: 45519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 3. Let t = -0.8 - -1.1. Let m = 0.1 - t. Which is the third biggest value? (a) 0.4 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1351235238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 0, -6, 11, 22.\nAnswer: -134, -6, 0, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4588286, 2\/5, 5 in descending order.\nAnswer: 5, 2\/5, -4588286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 564*c - 59929. What is m(-142)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -3) + (22 - (-33 + (-20 - -46)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*y + 10, -5*k + 4*y + 13 = -9. Suppose -w + 6 = k. Suppose 1 - w = -p. Solve 0 = -p*l + l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066709.\nAnswer: 7, 97, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-2 - (-10)\/7) + 228*4916\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71, 9, -89, -229, -417, -659, -961, -1329?\n\"Answer: -u**3 - 12*u**2 - 19*u + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7834.837 millilitres?\nAnswer: 7.834837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4584583 minus -0.471?\nAnswer: -4584582.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 4. What is the lowest common multiple of 26 and q(-12)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -609, -2441, -5505, -9807, -15353, -22149?\n\"Answer: -y**3 - 610*y**2 + 5*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -19737202\nAnswer: 9868601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1 - 1 - (584 - 576)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -624*y**2 - 6851*y + 19. Calculate p(-11).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2174690825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2701, -4163, -4399, -3409, -1193, 2249?\n\"Answer: 613*z**2 - 3301*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34994614.\nAnswer: 2, 431, 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117867735*h**3*k**3 - 1579*h**2*k**2 + 443*h**2 + 2*h*k**3 wrt h?\nAnswer: -707206410*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1681*p**2\/2 - 82*p + 2.\nAnswer: (41*p - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let b(k) = k + 4. Let z(w) = -b(w) - 2*d(w). Let h be z(7). Suppose 2*n - 82 = 3*x, n - 4*x + h*x - 41 = 0. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -217. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 72. Suppose 0 + 4 = -2*m - 2*a, 5*m - f = 5*a. Suppose 5*s - 3*s = -10, -2*z = -2*s - 10. Solve z*v = m*d - v + 3, 3*v = 5*d + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5872 and 14817258.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*z - 38322 = 0, 5*k - 47898 = 25*z - 22*z. Calculate the greatest common factor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172685803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.41822 rounded to the nearest integer?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2501 and -36\/943.\nAnswer: 57523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 9450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*720\/(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16363.\nAnswer: 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Suppose 3*d = -3*i + 6, j*i + i + d - 12 = 0. What is the second derivative of -3*r + 6*r**5 + r**i - 2*r wrt r?\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 10*z + 12. Let v be l(-4). Suppose -28*h + v + 132 = 0. Calculate the highest common factor of h and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 6*r + 3. Let p(t) = 60*t**2 - 34*t + 81. What is -6*j(f) + p(f)?\nAnswer: 54*f**2 + 2*f + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -56429.49 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -4 - (-6 - -10))*7. Let t(d) = -6*d**2 + d - 4. Let q(u) = -11*u**2 + 4*u - 9. Let k(g) = f*t(g) + 4*q(g). Give k(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*r + 1182, 5*r + 653 = 3*m - 81. Let p be (-2)\/(-5) - m\/(-5). Suppose 3*a + 2*t - 63 = 0, 0 = 2*a + 5*t - 5 - p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 5*f - 7, 4*x = -3*f + 20. Suppose 0 = -f*s - 2*s + 44. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/2 + 72 + (-54)\/6. Differentiate -96*p**2 + 190*p**2 - 92*p**2 + 2*p - 240 - u*p wrt p.\nAnswer: 4*p - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 11:36 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1905, -7611, -17129, -30459, -47601?\nAnswer: -68555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z + 87. Calculate the remainder when v(0) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkkkkkkkklkkklkk.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 12\/(-9) - 28\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -a - 3*o, -a + 2*a = -5*o + 23. Let t be a\/(-2)*2\/3. Which is smaller: 10 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s + 0*s - s**2 + s. Let f be w(-5). Let d(n) = -n**3 - n**2 - n + 2. Let v be d(0). Solve 4 + f = -v*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in -474, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4575849 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-13)))\/f**(-2\/133))\/(f**(4\/7)*f**(-1\/44)))**(-48) assuming f is positive.\nAnswer: f**(-875436\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 146375*q. Let j(o) = 2*o. Give j(g(v)).\nAnswer: 292750*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(450) + (sqrt(54) - sqrt(108)\/sqrt(2))\/sqrt(3))\/(-5*sqrt(324) - (6*sqrt(9)*4 + sqrt(9))).\nAnswer: -3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 18. Let w(h) = -h + 9. Let q(r) = -9*w(r) + 4*y(r). Let i be q(11). Let a(k) = -6*k. Let z be a(-1). Solve 3*f - i*t = 13, t - 25 = z*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let b(i) = -8*i + 237. Let u be b(22). Let h(z) = 8 - 10 - 69*z + u*z. What is j(h(q))?\nAnswer: 64*q**2 + 32*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 110*m**2 + 2*m. Let h(y) = 7*y. Give v(h(c)).\nAnswer: 5390*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 11, a: 1, x: 2}. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 62, 112, 174, 248, 334?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 322 (base 4) to base 9\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10097, -19798, -29499, -39200?\n\"Answer: -9701*n - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14455 by -1592.\nAnswer: -14455\/1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((2166\/(-264))\/19 - 5\/(-10)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 54\/30)*1170\/(-351).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 1 - (-2 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414464 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 16 + 5)*(5*g - 3*g - 4*g).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/7))**(-5))**(-1) assuming n is positive.\nAnswer: n**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from kcsjsj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188268.\nAnswer: 2, 297067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 6, -17 = -217*l + 212*l - 4*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdrahhdhayryyrhhhdh. What is prob of sequence hh?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 14*w**2 + 10*w - 4. Suppose 2*s - 5*s - 33 = 0. Let h be z(s). Suppose -64 = 5*q - h. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -941*m - 12062 + 39351 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*q = -21, 3*a + 5*q = 4*a. Suppose a*r - 209 - 911 = 0. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4044 and -4044 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 516151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7617344 to the nearest 10000.\nAnswer: -7620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 2*d + 20 = -9*r, -5*d = 5*r - 55. Solve 5*o = -l + 17, 2*l - 2*o = -0*o - r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*b - 4 = 0, -2*m - m - 8 = -4*b. Suppose 3 = -3*o + 9, p - 2*o + 3 = m. Which is greater: 2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, -13, 2\/23 in increasing order.\nAnswer: -13, -2\/5, 2\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -5, -2, -15, -8 in descending order.\nAnswer: -2, -5, -8, -15, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/13 + 20528*z**3\/13 + 53386250*z**2\/13 + 3639890028*z\/13 + 7066399248\/13 = 0. Calculate z.\nAnswer: -5097, -68, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -23*y + 7*y + 7*y + 8*y. Let d(i) = -21*i**2. Calculate d(c(u)).\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298797.78 months to years.\nAnswer: 24899.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154\/6 - (-14)\/42. Suppose -j*v + 224 = -22*v. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/19 - 194928*d**3\/19 - 389850*d**2\/19 - 194924*d\/19.\nAnswer: -2*d*(d + 1)**2*(d + 97462)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/3 - 646*q - 194192\/3 = 0. What is q?\nAnswer: -1832, -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 15*y + 24*y - 16*y + (6 - 2 - 2)*(2*y**3 + 2*y**3 - 3*y**3))*(-70 + y + 70).\nAnswer: 5*y**4 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2948846km in nanometers?\nAnswer: 294884600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*((-30)\/(-8) + -3). Let u(c) = c**2 - 5. Let t(w) = w**2 + w - 2. Let y(v) = a*u(v) - 2*t(v). Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178712899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -476 + 225 + 240 - r**3 - 12*r**2 + 12*r. Let x be (-53)\/4 + 1\/4. Let k be h(x). Put -23, -4, k in descending order.\nAnswer: k, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -15. Let r be -1*p - (-3 - 4). Let s be (-66)\/154 + 2\/r. Which is the second biggest value? (a) -1\/2 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144065.\nAnswer: 5, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103364653375 less than -48.3?\nAnswer: -103364653423.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 8 + 59 + (60 - 44 - (-1 - -4))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 11*b**2 + 7*b + 6. Let q be r(-6). Solve q*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 = 12*f - 127. Suppose 0 = -f*p + 2780 - 1030. What is the remainder when 103 is divided by p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - -3. Solve -2*h + 6 = -r - 7*h, -4*r + a = -5*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 2*v + 5*g, -47 = -3*v + g. Let h be v\/(-1 + 1 - -1). Let s = h + -7. Calculate the remainder when 29 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*q**5 + 14*q - 3*q**3 + 51*q + q**2 + 3*q**3 - 4*q**5 - 11*q**3 wrt q.\nAnswer: 1380*q**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1178\/805 - 4\/115. Let w = 157\/21 + -19\/3. Factor 16\/7*d + t*d**2 - w.\nAnswer: 2*(d + 2)*(5*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, e: 3, p: 7, x: 2}. What is prob of sequence xei?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0286 from 40952.\nAnswer: 40952.0286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + z + 4 = 0, 0 = -5*z. Suppose 3*o + u - a*u = 2, -22 = -3*o - 4*u. Suppose 2*k - 12 = -2*k. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 9:42 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 0.3 (c) 2\/15 (d) -909\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11580627?\nAnswer: 3, 3860209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611927463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.48 + 0.085. Let j = v - 0.005. Which is the nearest to -0.1? (a) j (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -1\/240*z**6 - 7\/96*z**4 + 2*z + 1\/20*z**5 + 0*z**3 + 0*z**2 + 2. Factor r(m).\nAnswer: -m**2*(m - 7)*(m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(23306\/813)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 27.30544 nanometers?\nAnswer: 0.00000000002730544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9) + (-17 + 23 - 7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {s: 2, t: 8, f: 1, p: 1, u: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 34 = 3*u, i - 68 + 9 = -6180155*u + 6180161*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394 + 268 + 297 + 7 + 65)*(3 - 3 + p).\nAnswer: 1031*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 r, and 1 g when three letters picked without replacement from vrrgr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139141 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538\/27495*2*5*1?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x + x**2 + 4 - 1 + 9. Let m be j(-9). Let p(z) = z**2 + 5*z - 1. Let t be p(-4). Is t smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -104, -426, -962, -1712, -2676, -3854?\n\"Answer: -107*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*n + 24, -w + 2 = -2*n + 1. What is the second derivative of -6*r**5 - 9*r + 4*r**w + 2*r - r**5 wrt r?\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -42 + -32 + 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 762441*0.7\nAnswer: 533708.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:03 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 15*o**2 + 0*o**3 + 0 + 1\/24*o**4 + 0*o. Let h(j) = -27*j**2. Determine m(h(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gghhgshgfsgfggffg. What is prob of picking 2 s and 2 g?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 12, 14, 6, 2 in decreasing order.\nAnswer: 16, 14, 12, 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + -42. Let d = 88.3 + m. What is the smallest value in -0.06, 0.2, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1.109. Let c = r - -5.691. Round c to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14787 plus -2?\nAnswer: 14785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55646581 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -410.0134335078 - 1.6.\nAnswer: -411.6134335078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649496285 to the nearest integer?\nAnswer: 25485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqfqfq. Give prob of sequence ffqf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -127 (b) -13 (c) 0.2 (d) 2 (e) -3\/7 (f) 15 (g) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009753085688 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let p(g) = -10722*g - 48. Give n(p(d)).\nAnswer: -10722*d - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 10?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t = 972. Let n = 4862\/15 + t. Which is the second smallest value? (a) 3 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 1 + (-28)\/(-8). What is the third biggest value in 1\/4, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:40 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -47*u**4\/8 - 7*u**3\/6 - 15*u**2. What is the derivative of h(d) wrt d?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + ((-20)\/(-16) - -2). Suppose 44 = 7*n + 23. Which is the nearest to j? (a) n (b) 4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 41663310. Let t(l) = 2*l. What is t(d(x))?\nAnswer: 2*x**2 - 83326620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + 0 + sqrt(19) + (sqrt(190)*2 - sqrt(190) - sqrt(190))\/sqrt(10))**2 - -1*(-2*sqrt(95)*3)\/((-1*sqrt(10))\/sqrt(2)).\nAnswer: 44 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7*c - 10 = -5*k, -5*k - c = -30. Solve -u = -j - 2, 0*u - 5*u - k = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -440*k**4 - 330?\nAnswer: -1760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)*j*j**(-4)*j*j**(1\/6)\/((j\/j**(-2\/7))\/j)*j\/j**(-6)*j**0*j**3*j**(2\/7) assuming j is positive.\nAnswer: j**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 13) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.49 - 2.79. Let h = x + -2.4. Let g = 5.1 + h. Put 2\/15, -2\/5, g in ascending order.\nAnswer: -2\/5, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 13*p**2 + p**3 - 6*p**2 + 26042 - 26009. Calculate w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/23 + 317\/46. What is the common denominator of -16\/17 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (-4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -441*t + 1146 + 1059 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 5?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1645 - -1736. What is the least common multiple of 247 and o?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/1)\/(-2))\/((-10)\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 - (-2 + (-8)\/(-6)). Suppose o = -3*t + 5*t, 0 = 3*k + 3*t - 231. Calculate the highest common divisor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -202, -203, -204, -205?\n\"Answer: -k - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -243.\nAnswer: 5\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*c - 22*c + 67*c - 119*c.\nAnswer: -158*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 73*s**2. Let g(f) = -2*f**2 - 5*f - 1832. Determine g(j(i)).\nAnswer: -10658*i**4 - 365*i**2 - 1832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1053 * -0.2\nAnswer: -210.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5. Let o(x) = -6*x + 9. Give -2*l(r) - o(r).\nAnswer: 6*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1223*s + 23. Is 21 a factor of y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -4 + -4 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 2*r + 1. Let x be p(-3). Let f(j) be the third derivative of 5\/12*j**x + 0*j + 2\/3*j**3 - 1\/10*j**5 + 0 - j**2. Solve f(q) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -739 - -605. Let z be 174\/(-290) + (u\/40)\/(-1). Which is the smallest value? (a) z (b) 0.1 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24510587\/242539 - -7\/14267. Which is smaller: b or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871 and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 331 - k**3 + 145 + 3*k**3. What are the prime factors of y(0)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -2*u**7\/35 - 7*u**3\/6 - 11*u**2 + 14. Let l(q) be the second derivative of r(q). What is the derivative of l(h) wrt h?\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/(75\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - (4 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, f: 1, t: 4, b: 5}. Give prob of picking 2 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10167 divided by -3389\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(847)*6)**2.\nAnswer: 1097712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2146 - 2146.4. Let h = 113 + -115. Let c = 0.5 + -5.5. What is the nearest to h in 4, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = -5. Let q(i) = -6*i**3 - 33*i**2 + 287*i + 176. Let a be q(-10). Sort a, 3, u.\nAnswer: 3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -18*x - 3. Let h be v(7). Is ((-28)\/(-12))\/((-1)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and -64.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2049*j - 338*j**5 - 434*j + j**3 - j**3 wrt j?\nAnswer: -6760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -1169, 2, -1.58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 2*z**4\/3 - 5*z. Let j(l) = -4*l**2. Determine f(j(h)).\nAnswer: 128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(832))**2*-5 + 2.\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2*m - 13. Suppose 4*w - 3*i + 45 = 0, 0 = 4*w - 4*i - 27 + 75. What is the tens digit of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -1190, -2827, -5120, -8069, -11674, -15935?\nAnswer: -20852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 77*u - 403. Calculate w(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (8 + (-329)\/(-35)))\/(-2).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 75405744 + 31405744 = 0. Let u(s) = 4*s - 2. Let f be u(2). Suppose x = -f*d + d. Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:14 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-275)\/9075)\/(4\/(-66)))\/(3\/114)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by (-4)\/(3*(-4)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -713098 rounded to the nearest ten thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10)**4*(l**18)**(14\/13) assuming l is positive.\nAnswer: l**(772\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 - -84) + (3 - 10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 4*w + 7*w**3 - 4*w.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.5. Let q be 22\/(-2) - (-2 - -1). Let v be (-6)\/15 - 24\/q. Which is the smallest value? (a) j (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -27. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 660, 562, 290, -246, -1136?\n\"Answer: -15*y**3 + 3*y**2 - 2*y + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**3 + 14*q**2 - 13*q + 12. Let v(r) = 80*r**3 - 125*r**2 + 115*r - 105. Let w(h) = -35*d(h) - 4*v(h). Let w(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4715615 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 10.3. Put -0.1, 0, n in increasing order.\nAnswer: -0.1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21070.7 - 21401.374. Let y = c + 330. Round y to two dps.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 15, -13, -59, -129?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -738*i + 456155. What is q(618)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*r**2 + 92*r**2 + 0*r + 1100 + 0*r - 1105 in the form p*r**2 + l + g*r and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-7359994)\/(-4) - (-2)\/(-4). What is h rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333198 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12\/11, -4\/5, -20, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22491 - 5?\nAnswer: 22488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369225471 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let r be 24\/(-9)*6\/(-4). Let h(t) = -r*t + 3*t + 11*t. Determine h(v(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.82 rounded to 0 dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from {m: 18, g: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x**5 + 1580*x**4 - 55312*x**3 + 129292*x**2 - 24144*x - 51408 = 0. Calculate x.\nAnswer: -1\/2, 1, 2, 42, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + -186. Is 1209 - ((3 - m) + -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**9)**(-5\/13) assuming q is positive.\nAnswer: q**(40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*j = -308, 2*p - j = 7*p - 757. Let k = p - 97. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/630, 2, 3\/10 in descending order.\nAnswer: 2, 3\/10, -1\/630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o**5 - 39*o + 6. Let p = -34 - -28. Let i(m) = m**5 + m - 1. Let y(u) = p*i(u) - b(u). Find the second derivative of y(k) wrt k.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e4066 (base 16) to base 8.\nAnswer: -3440146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4457\/39303 + 10\/4367. Put 0, q, -2, 2 in descending order.\nAnswer: 2, 0, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/15))**(3\/37)\/(k*k**(-34)*k*(((k\/(k\/(k\/(k**(-28)\/k))))\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(929\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*k + 25*k - 15*k**4 - 7*k)*(-7 + 4 + 1) as s*k + j + d*k**2 + b*k**3 + y*k**4 and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/(-2))\/((149 - 155) + (-35973)\/(-5996))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4 - 20*j**3 - 64*j**2 - 76*j - 30 = 0 for j.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002621160853 rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1255 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 1. Let m be v(0). Is m\/((-1)\/(-83))*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8556633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21720 - -21369. What are the prime factors of q?\nAnswer: 3, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 23*r**3 - 93*r**2 + 237*r - 717. What is l(3)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861777535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 - (-1 - (-49)\/28). Find the common denominator of d\/4*-4*8\/64 and 59\/75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.1 - -24.515. What is f rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628\/19611 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*l - 49*l - 25*l + 700 - 700 + 43*l + (-l - l + 4*l)*(2 - 2 - 2) + l + l - l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 1. Let h(f) = -6*f**3 - 18*f**2 + 18*f - 3. Let s(w) = 2*d(w) + h(w). Is s(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20*j**2 + 6*j - 4. Calculate the remainder when f(4) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*v - 30 = 0, 5*v - 467 = -3*k - 445 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 4, k: 4, x: 2}. Give prob of sequence bbkx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 407*l**3 - 143*l. Let b(h) be the second derivative of -17*h**5\/20 + h**3 - 2*h + 195. Calculate -143*b(s) - 6*i(s).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15446767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 699, 2798, 7075, 14292, 25211, 40594, 61203?\n\"Answer: 127*u**3 - 54*u**2 - 44*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575054142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -426*z - 16625. Give k(-39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2087910*i. Let v(j) = -3*j**2. Determine u(v(b)).\nAnswer: -6263730*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrr when three letters picked without replacement from {l: 1, b: 1, o: 2, r: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 + (-71517)\/64596?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 1:30 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15238858931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3706 + 0.0406. Round g to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 - 13*t**2 + 62*t - 6. Let r(l) = -10*l**3 - 14*l**2 + 63*l - 8. Calculate 3*r(y) - 4*v(y).\nAnswer: -2*y**3 + 10*y**2 - 59*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 6*o + 2. Suppose 4*z = -r - 2, 3*z = -2*r - z - 8. Let n be j(r). Suppose 2 = n*g - 6. Calculate the least common multiple of g and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - 4\/16. Let u = 20\/11 + -107\/77. Which is the nearest to 1\/2? (a) u (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -20. Let t be -1*0*b\/(-4). What are the prime factors of (t - -1)*(34 - 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.82 + -0.1. Round a to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 5*d**3\/3 + d**2\/2 - 2*d. Let x(k) = -k. Calculate -2*g(q) - 22*x(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 84 = 28*p, -463*w = -5*p - 466*w + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 919731\nAnswer: 5\/919731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2308*j**2 - 10*j + 34. Let h(c) = 769*c**2 - 3*c + 10. What is -7*h(p) + 2*o(p)?\nAnswer: -767*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*(sqrt(98) - (sqrt(98) + 0 - sqrt(98))) + sqrt(98) + -2 + (sqrt(98) - (sqrt(98) + 1*sqrt(98) + sqrt(98)) - sqrt(98)) + -2))**2*-2.\nAnswer: -9636 - 784*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 334024.2 years?\nAnswer: 33402.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -d - 133. Let y be ((-32)\/28)\/(26\/d). Let c(n) = -n**2 - 7*n. What is c(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 24. Let m = 6.8 + y. Is -1\/2 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12151 - 15*k - 12151 + 15*k - 928*k**2)*(-2 + 5 + 0)*(-6 + 6*k**3 + 6).\nAnswer: -16704*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*f**(-16))*f**(-12)*(f*f**10*f)\/(f\/f**(-13)) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95200 + -95200.051841. Let h = a + 0.0516. Round h to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.163 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43133 (base 5) in base 2?\nAnswer: 101101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/810)\/((-24)\/(-10))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3786, 7552, 11318, 15084, 18850?\n\"Answer: 3766*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -102055?\nAnswer: 102051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21521498 is divided by 1381?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 + 14*q + 285 - 833 + 277 - 16*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 3. Let r be c(-3). Solve r*j - j + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2034 + 2215?\nAnswer: 4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69014976 is divided by 420823.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = f - 2, -4*f = 2*o + 1 - 23. Let n(a) = -8*a - 7. Let h(m) be the first derivative of -7*m**2\/2 - 6*m + 1. What is f*h(s) - 5*n(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3249, 2755, 2035, 975, -539?\nAnswer: -2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2565 + 6733. Suppose -a = -12*q + 4*q. List the prime factors of q.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 5*f - 2*h - 26, -10 = -5*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-21)*(((w**(-28\/9)\/w)\/w)\/w)\/w*w**(-2\/27)\/w**(5\/8) assuming w is positive.\nAnswer: w**(-6223\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.3 - 6.1. Let r = l + -8.7. What is the second biggest value in -3, r, 0.8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 j, 1 i, and 1 w when four letters picked without replacement from {j: 1, t: 1, h: 1, b: 2, i: 2, w: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19760567, -19760570, -19760573, -19760576?\n\"Answer: -3*r - 19760564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/8 - 15*o**3\/8 - 3*o**2\/2 = 0. What is o?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 1, f: 8, x: 1, n: 4}. What is prob of picking 2 f and 2 g?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 21*q**2 + 26*q - 4. Let x be o(-9). Let d(z) = 162*z + 271. Is d(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = -n + p, -2*n - 6 = 3*p. Let f be ((3\/(-27))\/(-1))\/(-1)*n. Find y such that 2\/3*y + 2\/3 - 2\/3*y**2 - f*y**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -299*c - 283*c - 9*c**2 + 582*c. Let u(p) = -20*p**2 - 11*p - 11. Let a(t) = -7*t**2 - 4*t - 4. Let q(i) = -11*a(i) + 4*u(i). Determine q(b(w)).\nAnswer: -243*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14425*t - 84563. Give o(-6).\nAnswer: 1987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604*k - 1597*k + 1977*k + 1217*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 12 - -6) + 9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 82 + -58 + -2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -355*o**2 + 274*o + 13. Calculate p(-1).\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303723 is divided by 60743.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3 in descending order.\nAnswer: 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16046 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 10*w - 28. What is the smallest common multiple of t(-13) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -370577150\/586887 - 10\/83841. Let s = w - -78937\/126. Find the common denominator of 19\/6 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 113.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 18. Let d = 40.999882 - b. What is d rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(7) + -1 + -4)*-6)**2*-5*-2.\nAnswer: -32400*sqrt(7) + 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84.0411 and 5.\nAnswer: -420.2055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = -28 - 478. Let i be ((-864)\/120)\/(p\/15). Let w be (-32)\/(-6) - (-4)\/6. Is i bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y + 12. Let z(d) = 5*d**2 + y*d - 26 + d**3 - 2*d + 26. Let w be z(-5). Let t(f) = f**2 + 5*f + 5. Calculate t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 1. Suppose 0 = -2*t - 23 + 27. Suppose 2*x = -t*s - 3*x + 30, 0 = 4*x - 16. Let b(g) = -g + 2 - s*g + g. Determine -3*b(d) - 8*m(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.73 - -2.23. Let p = 1.2 - b. What is the third biggest value in 1\/8, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/354744 and 149\/118248?\nAnswer: 354744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*a - 13, -3*a + 30759*n + 8 = 30761*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 2573361?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1694 and 9\/168476?\nAnswer: 1853236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5 - 7*t + 4*t + t**3 + 1. Suppose 2*r = -4*l - 6, 4*r + 3*l = 2*r - 3. What is the tens digit of x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwet when four letters picked without replacement from {w: 4, p: 2, e: 7, t: 2, i: 1, b: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/145504088 and -87\/348334.\nAnswer: 1018528616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 1 + (3727 - 3661)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -601, -884, -1135, -1342, -1493?\nAnswer: -1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30747 - -30751. Solve v*t + 15*r - 18*r + 22 = 0, 5*t - 2*r = -31 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.041, 6\/7, 6\/11, -21, 0 in ascending order.\nAnswer: -21, -0.041, 0, 6\/11, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**4 + 4*d**2. Let b = -8 - -11. Let p(u) = 17*u**4 + 11*u**2. Let r(w) = b*p(w) - 8*x(w). What is the third derivative of r(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/11 + 46*z - 508\/11 = 0. What is z?\nAnswer: -254, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1) + 7 + -6. Let k(z) = 36*z - 2. Let h be k(u). What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89848.676 - 39349091.324. Let q = b + 39438953.9999965. Let l = q + -14. Round l to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7490006 = u - 3*m, -2*m = -2*u + 3*m + 14980010. Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.27 - -0.27. Let b = p + 16. Let h = 1.1 - 6.1. Put -2, b, h in decreasing order.\nAnswer: -2, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/631398 and 83\/685134.\nAnswer: 32201298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*i + 5819 = 0, 11*m - 5861 = 10*m + 4*i. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 7*t**2 + 4880*t**3 + 4*t**2 - 4877*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1861659*i - 2688622?\nAnswer: 1861659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523 + -891.931?\nAnswer: 631.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 37*k - 29. Determine i(-9).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2. Let z(x) = 43*x - 76*x + 43*x. Calculate a(z(q)).\nAnswer: 1000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 10. Suppose -f - 39 + 44 = 0. Let k(g) = -3*g + 15. Let o(z) = 3*z - 12. Let u(i) = f*o(i) + 4*k(i). Give u(d(a)).\nAnswer: 6*a - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/7)*b)\/(b\/(b*b**(2\/7))))\/(b*b**(-1\/2)*b**5) assuming b is positive.\nAnswer: b**(-47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1210626714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84.26 - 83. Let b = x + -13.06. Let n = b + 12. What is the third smallest value in -5, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5264 and 2050704.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1022726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 52*a - 50. Let s(k) = k**2 + 21*k + 20. Let x(t) = -5*n(t) - 12*s(t). Solve x(g) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + 1154?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.2, 4381, -4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 73520?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 4*f**2 + 1\/20*f**5 + 5\/24*f**4 + 0*f + 0 + 0*f**3. What is the second derivative of s(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**6\/60 - x**5\/8 - x**4\/6 + 14*x. Let w(y) = 0. What is y?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 98*q - 132 + 1\/4*q**4 - 81\/4*q**2 + 0*q**3 = 0.\nAnswer: -11, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1696909 divided by -2077\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (17 + -12) - (-5198)\/(-299)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430747, 430788, 430829, 430870?\nAnswer: 430911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-9)*(36 + -27). Solve b - q = 6*b, -b - 1 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126029958 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/(8\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/15)\/(-4)*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 15) to base 3\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*m*x**3 - 24*x**3 - 6*x**2 with respect to m.\nAnswer: -335*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 1 + 3 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4052*w**2. Let i(b) = 24*b + 1. Determine t(i(c)).\nAnswer: 2333952*c**2 + 194496*c + 4052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23.2312*0.05\nAnswer: -1.16156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 51*b**2 + 65*b - 25. Give o(4).\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**7\/2520 + s**6\/180 - s**5\/30 + 3*s**4\/8 - s**2. Let h(t) be the second derivative of z(t). Determine h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 365627175 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -13, -30, -63, -118, -201, -318?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19386*g + 64950*g + 27216*g + 42378*g.\nAnswer: 115158*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 626 = -3*h - 618, 0 = -3*h + 2*v + 5 + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 - 227\/9. Let s = z + 29. Suppose v + 3*q = -2*v + 102, -3*q = s*v - 139. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1518*l**2 - 1190*l**2 + 63*l**2.\nAnswer: 391*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.1 + -42. Let u = -6 + 1. What is the biggest value in -2\/3, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/d)\/d**11)\/(d**(-2\/13))**(-42) assuming d is positive.\nAnswer: d**(-318\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.121 - 0.03. Let h = x + 0.051. Let o = 11\/7 + -26\/21. What is the closest to o in h, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.8663 and 52497513.\nAnswer: 52497511.1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.3 + 14.3. What is the closest to l in 0.5, 0.4, -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2*r. Suppose r = -k + 2*y + 42 - 6, -5*k + 145 = -3*y. What is the smallest common multiple of k and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/5 - 4\/1. Let f = q + 5. Let b(m) = f - 4 - 1 + 2*m. What is b(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4 + 2 + 2*k + 4. Suppose 24*t - 156 = 20*t. Let n be (t\/(-6) - -3)*2. Give j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2661 divided by 205\nAnswer: 2661\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3313964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-4\/5))\/k))\/(k\/(k*k*k**10)*k)*k*k**2*k*k*k**(-2\/9) assuming k is positive.\nAnswer: k**(746\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -35*j**2 + 16469*j - 25320. Calculate o(469).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437569908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 261 (base 9) to base 11\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.2 (b) 1\/7 (c) -65 (d) 0.4 (e) -3\/2 (f) 0.04 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/11 + 1132*o**2\/11 - 62496*o\/11 = 0. Calculate o.\nAnswer: 0, 62, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/9 (b) -39 (c) -5233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5*y)\/(y**3*y*y)*y**(-2\/7)*y**(-1\/3)\/y assuming y is positive.\nAnswer: y**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 52000.51.\nAnswer: -6760.0663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.51194ug to grams.\nAnswer: 0.00004751194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -1, -5, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.12. Let w = 0.12 + r. Let v = 0.03492 + 0.06508. What is the nearest to v in 2, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262742, 262736, 262728, 262718?\nAnswer: 262706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0*x**2 - 2\/3*x**3 + 0 - x. Let f(k) = -33 - 160 - 6*k + 192 + 10*k - 7*k. What is 3*f(g) - 2*y(g)?\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125630386 is divided by 62815188?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000433 rounded to 5 decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -613 + 678. Put t, 5, -1 in increasing order.\nAnswer: -1, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18946840 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)*((-17)\/255 + 2\/(-6)). Which is smaller: x or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 3)*-3)**2 + 4 + -2.\nAnswer: 540*sqrt(19) + 17183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63765 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**4 + 4*q**3 - 775*q**2 wrt q?\nAnswer: 264*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3410034 and 31642.\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 456 = 1920. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 2 + 36*r**4 - r**2 + 5*r - 89*r**4 + 31*r**4 as p*r**2 + m + h*r**4 + l*r**3 + q*r and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -40. Let q be 966*(r\/(-7))\/2. Calculate the greatest common divisor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100682213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 97, 213, 375, 583?\n\"Answer: 23*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/4 + 23352*m**3 - 363777375*m**2\/2 + 1817042502*m - 15259039047\/4 = 0. What is m?\nAnswer: 3, 7, 15563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*i - 101 = -17*i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -58744*f + 528696. Calculate b(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:41 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.633 - 0.04\nAnswer: -0.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 398495889 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(22327*v**2 + 5*v - 44693*v**2 + 15*v**3 + 2 + 22359*v**2).\nAnswer: 15*v**3 - 7*v**2 + 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3165)\/11394)\/(2\/612)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 2*t - 102. Let c be j(14). Is 42 a factor of (-13252)\/(-44) + (-12)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*s = -307, 0*u - 372 = -4*u - 4*s. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c - 6, -3*l = -5*c + 73. Let n be l\/18*-1 - (-1)\/(-6). Sort -5, 3, n.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112860390?\nAnswer: 2, 3, 5, 107, 35159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4647 - -0.46. Round f to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192210.0089489 + -192210. What is i rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y = -k + 770, 5*y + 227207 - 227089 = -k for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 720, 2542, 5616, 9942, 15520, 22350?\n\"Answer: 626*m**2 - 56*m + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(12 + -75))\/(1\/(-12)). Sort -13, l, -3.\nAnswer: -13, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*x - 5*c, 23*x - c - 3 = 15*x + 6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1757 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 1 (c) -1.2 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 25 = 13*c, 1318 - 1354 = 4*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -436.2 times 0.2?\nAnswer: -87.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/30*1\/(-4)*6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-24))\/(-1*4 - -2). Let l(r) be the second derivative of r + h*r**3 - r**2 + 0. Find the first derivative of l(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*d + 5 = 0, 5*z + 2*d = -1 - 0. What is the units digit of 3 - (-2 + 2)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -386 (b) 3 (c) -0.2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -18, 1, 22, 45, 70?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-2*x - x**2 + 2*x) - 1012 + 1012 - 58*x**2 - 88 + 88 + 19*x**2 to z*x + n*x**2 + a and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -323*f + 13. Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 4, 1, -2 in descending order.\nAnswer: 4, 2, 1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306575.9 decades to centuries.\nAnswer: 30657.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1043 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103)\/(-1030) + (-81)\/10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/45 + 148\/1305. Let g(x) = 2*x**3 + 25*x**2 + 28*x + 193. Let z be g(-12). Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15689)\/(3*((-8)\/(-3))\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5353, 10942, 16531, 22120, 27709?\n\"Answer: 5589*p - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-16) + (-873054)\/(-1872) + 12 + -1. Let x be 5\/(-15) - (-28)\/3. What is the greatest common factor of m and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 6*k + 1. Let x be ((-18)\/(-10))\/(24\/80). Let q be b(x). Let r be 5\/(-12) - q\/5*0. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 8 - 70*o - 48*o + 7 to s + p*o and give p.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 25*k**2 + 4*k - 3*k.\nAnswer: -25*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4259*z + 268322. What is t(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3673 = -1955. What is the remainder when m is divided by 350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/24, -33, -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (6*sqrt(441))\/(-2*sqrt(175) + sqrt(175))).\nAnswer: -72*sqrt(7)\/5 - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*51*(-2)\/(-3). Suppose -3*c - 96 = -3*d, -3*c + 62 = -5*d + 232. Let i = d - u. Solve s - 6 + i = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42*((-8)\/6)\/(-2). Let q = -3 - -7. What is the greatest common factor of q and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**8\/672 - l**7\/210 + l**6\/320 + 3*l**5\/160 + 11*l**2. Find y, given that n(y) = 0.\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 48\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7926, -7924, -7922, -7920?\nAnswer: -7918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, g: 8, f: 1, i: 5}. Give prob of picking 2 i, 1 g, and 1 q.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199*h**2*v**2 + 4*h**2 + 5*h*v**2 + 59*h*v + 20*h - 161*v**2 - v + 19 wrt v?\nAnswer: 398*h**2 + 10*h - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x)**12\/(x**(-6)*x*x\/((x*x\/x**2*x)\/x)) assuming x is positive.\nAnswer: x**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 120 (b) 85 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from reerrrernre?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18666 and 55557?\nAnswer: 115225218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 - 3*d + 10. Calculate o(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1018 - 1013. Sort 2\/5, 4\/3, w in descending order.\nAnswer: w, 4\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11449 is divided by 11163?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1827 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100101101101101011 + 1011?\nAnswer: -11110100101101101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*u = -2*u + 123, 246 = 2*m - 4*u. Suppose 4*x - 703 = -m. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-264) - 46\/((-6624)\/(-162)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 14*q**2 + q - 10. Let t be w(14). Let p be (-10)\/t*16\/(-10). Let c(f) = p*f + 0 - 5*f + 3*f + 5. Determine c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 773, 772?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((29\/2)\/1)\/(((-30000)\/(-100))\/(-150))\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:23 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 360 + 2\/5*z**2 + 24*z = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11203 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 9*n - 13. Let l be i(-11). Let o = l + -13. Put -3, 2\/3, o in decreasing order.\nAnswer: 2\/3, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-9))\/((-45)\/(-3285)*25).\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32520?\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 708680 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8*7\/14*(-5)\/(-80)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -325 + 286. Let a be g\/(-26) - 1\/2. Sort a, 0, -1, -4 in decreasing order.\nAnswer: a, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17545 by 319.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 2*p + 2. Let b be k(2). Suppose 2*g - 14 = -2*f, -5*g - 9 = b. Suppose -2*x + 8 + f = -4*u, 0 = 2*u + 4. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 8. Calculate the remainder when 16 is divided by f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 8*o**2 + 8*o - 12. Let y be b(8). What is the second derivative of -2*j**3 + y + 74 - 74*j**4 - 46 + j + 2*j**3 wrt j?\nAnswer: -888*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9942833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 1\/1)\/(-1). Suppose s*g - 5*o - 7 = 0, -g - 4*o = 5 + 24. Let b = -8 - g. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92414079 or 92414084?\nAnswer: 92414079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:59 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = -33 + 355 + 142 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 8*d**2 + 14*d - 7. Let x be u(6). Suppose 2*r - 5*h = -2*r + 568, x*h = 0. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 653 - 648. Let p(u) be the first derivative of 4*u**2 - 36*u + 1. Let o be p(h). Solve 2*w + 4*j = -22, -6 - 2 = o*w - j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 4. Let c be w(2). Let f be (c\/10)\/((-6)\/(-30)). Let b(n) = n**3 - 5*n**2 - 4*n - 7. Calculate b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 3*h + 5 - 2 + 2.\nAnswer: 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0158? (a) -2\/7 (b) 0.09 (c) 0.2 (d) -0.3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*h + h = 2254, h - 2248 = 5*d. Let s = d + 1629. What is s rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, f: 4, k: 1, r: 3, x: 4, g: 4}. Give prob of sequence gfg.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-100)\/(-12))\/(-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4762 - 4518. What is the second biggest value in x, 2, -3, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 723.3787.\nAnswer: 718.3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 230 + 2 + -4. What is the second derivative of -p*l**2 + l**3 - 5*l**3 + 228*l**2 - 92*l wrt l?\nAnswer: -24*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(4455)*2)\/((sqrt(125) - sqrt(125)*-1)*3 + sqrt(125)*-1*2).\nAnswer: -81*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/384 and (11\/51)\/(28\/35 + (-124)\/180)?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56208.38 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 15*c + 19. What is v(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Calculate the remainder when 4 is divided by 4\/2 - o\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 30 = -15. Suppose -24 = 4*b - 4, -2*m + y = 3*b. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 25*z**3 + z. Suppose -25 = 5*c, -2*u = -0*u + 5*c + 27. Let r be f(u). Let t = r + 32. Calculate the smallest common multiple of 26 and t.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1280) - sqrt(1280))\/(sqrt(4) - sqrt(196)*-2).\nAnswer: -8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**2*z**3 - 14301*w*z**3 - 2*z**3 + 3*z**2 - 7763*z wrt w.\nAnswer: -4*w*z**3 - 14301*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*-10665.\nAnswer: 757215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1219*b**5 + b**4 + 11866*b**3 + 9*b**2 + 1791*b - 11467?\nAnswer: 73140*b**2 + 24*b + 71196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16346.06 - 16196. Let d = -152 + s. Let j = d - -1.7. Round j to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z - 792*z**3 + 1007 + 630 + 157 - 14*z**3 wrt z.\nAnswer: -2418*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50509, -50743, -50977, -51211?\nAnswer: -51445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/15 + 1426838*n\/15 - 5707384\/15.\nAnswer: 2*(n - 4)*(n + 713423)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 - -261.94. Suppose 4*g + 20 = 8. Put 3, g, x, 8 in descending order.\nAnswer: 8, 3, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11795, 10\/51, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4\/7 - 234*v**3\/7 + 717*v**2 - 20844*v\/7 + 3348 = 0. Calculate v.\nAnswer: 2, 3, 31, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*w - f = -8, -3*f = -3. What are the prime factors of ((-2)\/8)\/(w\/(-196))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x - 162. Let v be p(-27). Suppose v = 23*w - 11*w - 1416. What is the greatest common factor of 413 and w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.5, 2, 3, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.65 + -2.05. Suppose 1 = c - k, 44 = 5*c + 2*k + 18. Let p(x) = -3*x + 7. Let l be p(c). What is the fourth biggest value in 0.4, 1\/2, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82*k + 45*k + 76*k)*(0 - 2 + 4) in the form a*k + p and give a.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -34.5654?\nAnswer: 622.1772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 25 - (90 + -114)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 51, 96, 179, 312, 507, 776, 1131?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1346042 = -126*c + 1212388. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 18*h**2 - 11*h + 5. Let o be g(8). Suppose o = 14*b - 5*b. Suppose -3*l + 957 - 334 = b*z, 0 = l + 5*z - 191. Does 36 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 9*y**3 - 90168*y**2 + 150261*y - 60102 = 0?\nAnswer: 2\/3, 1, 10017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {o: 1, z: 11, w: 6, x: 1}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*1\/(-10)*-5. Let z be (4\/(-6))\/p + 0. Which is the biggest value? (a) -0.1 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by -98.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -788.06 or -360?\nAnswer: -788.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61 - 61 - g**2 + (4 + g - 4)*(-64 + 17*g + 64) + g**2 + g**2 + 0*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3876 + 3879. Suppose -4*g + h + 3*h = -24, -2*g = 3*h - 17. Calculate the remainder when g is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5191908 * 3.\nAnswer: 15575724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900055355 to the nearest integer?\nAnswer: 30001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 1 (c) 2\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/(-30)*(-12)\/14. Suppose 2*d - m = 6*d. Is -2949*((-4)\/(-12))\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006878 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:00 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 49*q**6\/360 + 7*q**5\/30 + q**4\/6 - q**3\/2 + q. Let g(r) be the second derivative of p(r). Factor g(k).\nAnswer: (7*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.166 - 0.034. Is d at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -39*b - 4. Let v be f(-12). Suppose -3*s - v = -4*n, -4*n = -9*n - 4*s + 580. Suppose -n - 474 = -p. Round p to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14326 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -105*i**3 - 10*i**2 = 0. Calculate i.\nAnswer: -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3*m - 11*h**3 + 2*h**2 + 74*h*m - 3*m wrt h.\nAnswer: 84*m - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2 - r. Let h be t(-1). Suppose 3*n = 5 + h. Solve 0 = n*u - 6*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 2*o - 1. Let p be d(-1). Suppose -4*f = -2*w + 12, -3 = 3*w + p. Let n = f - -5. What is the smallest common multiple of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2232\/720 - 2\/((-40)\/(-2)). Suppose 0*b = b - 2. Factor 11 - 14*u**b - 2*u**n + 10 - 30*u - 39.\nAnswer: -2*(u + 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6085 + -127739\/21. Let n = y - -274\/105. Determine r, given that -12\/5*r**2 - 16\/5 + n*r + 2\/5*r**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {u: 1, v: 1, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = -2*k - k, -5*z + 3*k + 23 = 0. Let p = -0.08 - -4.08. Let v = -1 + p. Which is the biggest value? (a) v (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64770 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/58)\/(2\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 146358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 - 360*v**2 + 1842*v - 1480 = 0 for v.\nAnswer: -185, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8016 or 8014?\nAnswer: 8014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/3 - 34*p**3\/3 + 134*p**2\/3 - 58*p + 24 = 0?\nAnswer: 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:07 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7557793417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 55529.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 38 - 262. Let i = z - -142. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2960672, 2960669, 2960664, 2960657, 2960648, 2960637?\nAnswer: 2960624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*j = -863 - 195, -2579 = -5*x - 4*j. Let i = 774 - x. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 64*i - 105. Solve 0 = 4*q + 5*d - 2, -3*d = -2*q + i + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71230465847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421943 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*l**3*s**3*x**2 + 47*l**3*s*x - 6*l*s**3*x**2 + 2*l*s**3 + 19*l*x wrt x?\nAnswer: -228*l**3*s**3 - 12*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**4 + 12*v**3 - 26*v**2 - 108*v + 121. Let a(w) = 5*w**4 - 10*w**3 + 27*w**2 + 106*w - 122. Let z(c) = 8*a(c) + 6*d(c). Factor z(h).\nAnswer: -2*(h - 5)*(h - 1)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)\/(sqrt(8)*-1*-4))\/(sqrt(96)\/(sqrt(12) - (1*sqrt(108) + sqrt(108))\/sqrt(9))) + 3)**2.\nAnswer: -3*sqrt(7)\/2 + 151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 14 + (28 - 24)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 2*t + 4*t + 13 - 16 in the form s + w*t and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161827632 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o**2 - 193*o - 1. Let n(g) = -30*g**2 + 580*g + 2. Give -8*c(t) - 3*n(t).\nAnswer: 2*t**2 - 196*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 10) in base 3?\nAnswer: -11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 16*u = 32*u - 90. Let v(a) = -21*a - 2. Let l(b) = 7*b + 1. Determine u*v(m) + 8*l(m).\nAnswer: -7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806712 is divided by 546?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/7)\/h)\/(h**(-5\/8)*h)*(h\/h**(-11))\/h**3 assuming h is positive.\nAnswer: h**(475\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 42 = 11*m + 12*u, 0 = -5*m + 5*u + 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 - u + 5. Give y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15083123 - 1?\nAnswer: 15083122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1206+374\nAnswer: 373.8794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85769030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44765 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26245036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2 + 3\/3. Suppose -4*a + 6*a = -r + 1, c*r = -2*a + 7. Factor 5*m**2 - 2 + r*m**2 - 6*m + 0*m.\nAnswer: 2*(m - 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 9. Let t be q(-7). Suppose 4 = -2*s - 2*y, -t*y = 5*s - y - 6. Suppose 2*x = -s*x + 16. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52373 and 5048?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 47 = 4*h - 2*r, -23 = -h + 5*r. Suppose 0 = 2*q + 4 - h. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (6608\/144 + -23)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -435*q**4\/4 - 2221*q**3\/6 - 2*q**2 + 389*q. What is the first derivative of x(d) wrt d?\nAnswer: -2610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*u + 405 = -178*u. Solve 0 = 2*q - 2, -10*q = c - u*q + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.4 - 19. Let w = -4 - -3. Let v = i + w. What is the smallest value in 3\/8, v, 3\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 6*n**2 + 0 + 2 + 3*n. Let k(b) = -7*b**2 + 24*b - 3. Let l(t) = -14*t**2 + 51*t - 7. Let s(o) = 13*k(o) - 6*l(o). What is -3*s(f) + 4*x(f)?\nAnswer: -3*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27a5b (base 13) to base 6\nAnswer: -1331455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10571 and 21120.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 (base 9) in base 4?\nAnswer: 21033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 11:12 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f - 2 - 2*f - 4*f - 2*f. Let l = -7109 - -7103. Give a(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/g**5)\/g)\/g*g*g)**(1\/14))**(-36))**(2\/27) assuming g is positive.\nAnswer: g**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 18 - 42)*(2*u - 2*u + u)*(2 - 3 + 0) to q + t*u and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5173, 7719, 10259, 12793, 15321?\nAnswer: 17843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 8*t + 9*t + 3*t + 4*t.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146772 - 146772 + 2198*s.\nAnswer: 2198*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + 0 + sqrt(272) + 0))**2 - ((sqrt(272) + -1*sqrt(272)*4 - ((sqrt(272)*1 - sqrt(272)) + 1)) + 0)**2.\nAnswer: 264*sqrt(17) + 7379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773725?\nAnswer: 5, 70949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:09 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -2 + 5\/2*u**2 + 7*u. What is the derivative of w(k) wrt k?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - r**3 - r**2)*(84*r - 409 + 409) + (-r**3 + 4*r**3 - r**3)*(9 - 9 - 2*r) to the form j*r + u + s*r**2 + p*r**3 + z*r**4 and give z.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -64, 3, -49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:58 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 6\/23 (b) -1 (c) -0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -366*g + 392*g - 37154. What is the remainder when g is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45061.8133 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394792 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4102 (base 5) to base 11.\nAnswer: -43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.75003386 take away 11?\nAnswer: 41.75003386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*v**4 - 205*q**2*v + 171*q**2 + 1 wrt v.\nAnswer: -4*q**2*v**3 - 205*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:47 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(150)\/(sqrt(80)\/sqrt(512)))\/(sqrt(243) - 2*sqrt(243)*1 - 1*sqrt(243)*-5).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3274882990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 28. Let f = 29 + j. Suppose 4*w + f = 62. Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1185 in -2\/3, -3\/5, -3, -5, 6\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1964 is divided by 1958.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3*k - 1. Let h be i(-1). Let o be (((-2)\/1)\/(-6))\/h. Is o equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0 + -4 + 6 - -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2811424 and 25\/63896.\nAnswer: 2811424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2213180773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.183493 minutes in seconds?\nAnswer: 551.00958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/1481889220?\nAnswer: -1\/1481889220","meta":{"dup_signals":{},"source":"comparison__pair_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: b\"What is the rth term of 54, 197, 430, 747, 1142, 1609, 2142?\n\"Answer: -r**3 + 51*r**2 - 3*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 9:01 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353 + -187. Let x = a - -91. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmmqqmmmmmqqmmmqm. What is prob of picking 2 m?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 49*q + 1970. Determine r(-53).\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.08 + -0.08. Let r = i - 7. Let d be 1 + 16\/(-7) + 1. Sort d, r, 0.4 in increasing order.\nAnswer: d, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3043*y - 1283*y - y**2 - 106*y.\nAnswer: -y**2 - 4432*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a + 35. Let m be r(6). Suppose -16 = z + z - 4*w, -5 = -w. What is the second biggest value in z, -0.1, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z - 31. Calculate q(-21).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.176535 centimeters in meters?\nAnswer: 0.09176535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 1241123*o.\nAnswer: o*(o - 1241123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -8, 2\/11, 4, 43.2, -7 in decreasing order.\nAnswer: 43.2, 4, 2\/11, -7, -8, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -30538 >= -30567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 36865 = 7389. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + -9 + 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020320010 (base 4) in base 2?\nAnswer: 11001000111000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h**2 - 19*h**2 - 33*h**2 + 219*h**2 - 35*h**2 - 31*h**2 - 28*h**2 - 22*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -14\/193 (c) 2\/5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 1)*(392*n + 352 - 352)*(-2*n**2 - n**2 + 5*n**2) to z*n + u*n**2 + i*n**3 + s and give i.\nAnswer: 3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 114.72*1.76\nAnswer: 201.9072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 != -5543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*x + 518 - 518 + (4 - 4 - x)*(-2 + 3 + 0).\nAnswer: -51*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*h + 2, 0 = 2*y + 5*h - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -417, -2\/113, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 359*p**4\/6 - 3*p**3 - 11*p**2\/2 - 46*p. Is i(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 7*g + 1631 - 1631 - 6*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbn when three letters picked without replacement from bbobonnwbbbon?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 4, -25, 6, -3, 1 in decreasing order.\nAnswer: 36, 6, 4, 1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.4*3.\nAnswer: 145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.032 in -3, 13\/2, -2273, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*t + 7 + 12, t - 3 = 0. Let l = 12 - o. Let z be 1 - (l\/4 + -16). Solve z = -j - 3*f, -2*f = 2*j - 6*f - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 453*t**5\/10 - 5221*t**2\/2 + 349*t - 8. Differentiate u(q) wrt q.\nAnswer: 2718*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 + 9*r)*(-326 - 91 - 127).\nAnswer: -4896*r + 544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3 - -2 - -9) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = -5*v + 37, 3*v - 2*j = 26. Solve -v - 12 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3936925 meters in nanometers?\nAnswer: 393692500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/10 + (-308)\/70 and 26\/249.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 6*x**2 + 2*x**3 - 4*x + 5*x - x**2 in the form g + r*x**2 + f*x**3 + n*x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**4\/12 + 3*t**3\/2 + t**2. Let k(d) = d - 4. Let i = -7 + 5. Let g be (36\/(-8) + -2)*i. Give g*k(q) + 6*n(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:01 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/((-22)\/(-11))*-15*(-7)\/210.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71\/989 or 1?\nAnswer: 71\/989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 3:01 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**4\/3 + 15811*v**3 - 112508701*v**2\/3 + 22489725*v + 14997366 = 0.\nAnswer: -2\/5, 1, 4743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hshf when four letters picked without replacement from {s: 1, f: 3, o: 1, y: 7, h: 2}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/611 and 33\/65?\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*n - 165030 = 19485, -4*n = -32. What is the ten thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*w = 1078 + 1589 + 889 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -114, -14, 3\/17, 3, -1\/6?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26131123 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is -69 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s = 6. Suppose 3 + 7 = 5*x. Suppose -4*u + x*j = -8, j = s*j. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144.4 - 13.4. Let i = -130.9 + q. Let n = -2.93 + -0.07. Which is the closest to i? (a) -4 (b) n (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6596638, 6596788, 6596938, 6597088, 6597238, 6597388?\n\"Answer: 150*x + 6596488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(2*sqrt(475)*-1)**2 + ((sqrt(38)\/sqrt(2) - sqrt(19))*-2)**2*5 + (sqrt(684) + 1 + sqrt(684) - (sqrt(57)\/(sqrt(3) + sqrt(12)) - sqrt(19))).\nAnswer: -9499 + 38*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -15\/14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60508435211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 7*q**2 + 7*q - 9. Let p be k(6). Suppose 758*r - 768*r = 40. Put r, p, -1, 1 in increasing order.\nAnswer: r, p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (90\/(-40))\/(15\/10). Which is the closest to 11? (a) -1 (b) o (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - i**3 - 3*i**3 + (7*i**2 - 3*i**2 - 3*i**2)*(1 - 1 + i) in the form j*i**3 + v*i**2 + q*i + z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 2.13, -7?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240344562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1817*a**2 - 1817*a**2 - 1825*a**2 + 5469*a**2 - 3*a + 3*a.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.42 - -2.01171.\nAnswer: 45.43171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 8*l + 3. Let w be (-14)\/(7\/9 - 1). Suppose -12*b + w = -3*b. What is the remainder when y(-4) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928764777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/11 - 4*j**4\/11 - 4*j**3\/11 + 16*j**2\/11 = 0?\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -2, 0, -164?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5, -0.4, -3\/7, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -1 + 0 + (5368 - 5362) - 7?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432493.\nAnswer: 37, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/225)\/(3\/(-6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 4. Let k be -1*(-16)\/6*-3. Let x be (-4)\/k - (-2)\/(-4). What are the prime factors of g(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 272310*s**3 - 3708725885*s**2 + 29656737480*s - 59304762320.\nAnswer: -5*(s - 27227)**2*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k**2 - 48*k**2 + 198*k**2 - 47*k**2 - 50*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/149 or 0?\nAnswer: -34\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(20)\/sqrt(4)) - (sqrt(2662)*2 + sqrt(2662)))\/(sqrt(1331) + sqrt(1331)*1*4 + sqrt(1331) - (sqrt(1331) + -3*sqrt(1331)*-2)).\nAnswer: 32*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110.8932 and 90?\nAnswer: 20.8932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - -3.92. Let u = -27 + 61. Let s = u + -29. Which is the smallest value? (a) s (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -5. What is the least common multiple of 7 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**12))\/v)\/(v\/(v*v**(-3\/13)\/v)))\/((v\/(v\/v**(-5\/8)))\/(v*v\/(v**13\/v*v))))**47 assuming v is positive.\nAnswer: v**(-2961\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**9\/7560 - q**5\/120 + q**4\/12 + 2*q**2. Let z(n) be the second derivative of a(n). Differentiate z(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*b)*(5*b - 5*b + 2*b**2) + 4*b**3 - 16*b + 16*b + (b**2 + b**2 + b**2)*(-2 + 2 + b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 4*r - 7*r**3 + 4*r**4 + 27404 - 22*r**2 - 27402 - 9*r**3 - 4*r**4 in the form h*r**2 + t + z*r**3 + g*r + o*r**4 and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-715)\/10*(-220)\/715?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -11424332?\nAnswer: -11424330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 498, 513, 534, 561, 594?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from mmmqmmmmmqmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25684905 is divided by 2626.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 6*u. Let p be k(6). Suppose -2*j = -0*i + 3*i - 16, p = -5*j + i + 40. Let w = j + -5. Solve 2*q + 0*a - 13 = w*a, 20 = 5*q + 5*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 19*y**3 + 34*y**3 - 59*y**3 + 0*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (326\/(-48))\/(10\/(-140)). Let h = m + -95. Which is the closest to -1? (a) -3 (b) h (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {v: 1, o: 6, g: 4, z: 1, q: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 945 + 2035 + 10*a**2 - 1088 - a**3 - 19*a + 2*a**4 in the form m*a**2 + p*a + r*a**3 + c*a**4 + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 5*v - 97. Let s be j(4). Solve 5*b - 31 = -2*y, 10 = -s*y + 3*b + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19722808 divided by -9861404\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/7 - 118*i**3\/21 - 76*i**2\/21 = 0.\nAnswer: -19, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 323*v + 2122. Give l(-7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 2*h**2 + h. Suppose 3 + 1 = -2*r. Determine f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750381 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 644 - 5?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -796*b**4*p - 14177*b**4 - 2*b*p + 14382*b + 1918*p wrt b.\nAnswer: -9552*b**2*p - 170124*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 122*u**3 + u**2 - 3*u + 2. Let a be o(1). Suppose 9*j = 85 + a. Solve 5*g - 3 = -j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.94 at least -11579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/376 and 19\/22.\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 16639 (c) 1\/74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + sqrt(143)*2 + sqrt(143))\/sqrt(11) - sqrt(13)) + (sqrt(13) - -1*sqrt(13)*-1))**2*-6.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 46 + 27*f + 274.\nAnswer: 27*f + 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10961100 divided by 38460?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -12, 2\/11, 1, -0.33, 2.5.\nAnswer: -12, -0.33, 2\/11, 1\/2, 1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from jbbkklkkjkjskrj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/75 and 2\/11875.\nAnswer: 35625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*t - 37, -8 - 10 = 2*w - 2*t. Let o = w - -18. Let h = o + 3. Solve 4*z - h = 9*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - sqrt(192)*1)\/sqrt(12))\/((sqrt(8) + sqrt(16)\/sqrt(2))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d + 6 = 0. Let y = 3 - d. Suppose -2*s = -y*s + 444. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.871 - -0.129. Let n = g + -78.947. Let x = n - 0.073. Which is the closest to x? (a) 1 (b) 4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74701162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/2*39\/(1365\/(-10))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-25)\/75)\/((-4)\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 0)*(0*l**4 + 2*l**4 - 3*l**4) - 323*l**4 + 496*l**4 - 1284*l**4 to the form k*l + y*l**2 + o + h*l**4 + z*l**3 and give h.\nAnswer: -1109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-8)\/j*j)\/j)*j**(3\/4)*j)\/((j\/j**4)\/(j\/(j*j**(1\/2)))) assuming j is positive.\nAnswer: j**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 551575\/7 + -79006. Let n(k) = -212*k**3 - 5*k**2 - 3*k. Let z be n(-1). Let x = z + q. What is the third biggest value in x, 0.25, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j\/((j\/((j**2*j)\/j))\/j))\/j)**(-33)\/(j*j**(-2\/13)*j*j**(-4)) assuming j is positive.\nAnswer: j**(-1688\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2852122717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36\/8)\/(2\/2276).\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.63 and 0.2.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/7)*d)\/(d\/(d\/(d*d**(1\/2))*d)))\/(d**6\/d*d*((d\/(d*d*d\/(d*d*d**(-13))))\/d)\/d))**(-1\/57) assuming d is positive.\nAnswer: d**(-43\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 25 = 7*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 7:32 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5 - -2*33\/90?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329066?\nAnswer: 2, 41, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 = -t. Let x be 3\/t + 4 + 0. Suppose 0 = -2*i + 3*i - x*u - 14, i = -5*u + 6. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27005353.\nAnswer: 27005353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at most -423\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3348 + -4631?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o + 12. Let x(p) = 9*p**2 - 24*p - 51. Let n be x(4). Give q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 7 - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 439841985 divided by -145\nAnswer: -3033393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 plus 1451998588?\nAnswer: 1451998561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 3*f**4\/4 - 5*f**3\/2 - 129*f**2\/2 + 179*f + 1. What is the first derivative of z(s) wrt s?\nAnswer: 18*s - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -8 (c) -6.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102710412 divided by -2505132?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*-3 + -7. Let r be (-1)\/3 - (-42)\/t. Let v = 87 + -91. Sort r, v, 5.\nAnswer: r, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2831?\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z = -28*z + 4. Suppose z*t - 777 = 61. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74929 = 5*h - 5*o - 74959, -4*h - 2*o + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o + 12. Let m be y(8). Let a = m - -84. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -0.04, -0.2, -3, 10 in decreasing order.\nAnswer: 10, 7, -0.04, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-36)*(-2)\/50?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11590147591 - -22.\nAnswer: 11590147613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 q when three letters picked without replacement from {j: 1, d: 2, o: 1, e: 1, q: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m + 0*m)*(2 - 2 - 2)*(0*m + 8*m - 3*m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20) - 1)*(19544\/336 - 58).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + 2.53. Let o = i - -0.4. Let u = o + 0. Which is the nearest to u? (a) -4\/9 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 1056243*d - 9506430.\nAnswer: 3*(d - 352090)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 - 397 = -19*n - 63*n. Solve 101*x - n = 98*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17612\/(-111)*(-81)\/378.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t. Let c(w) = -5733*w**2. Calculate p(c(x)).\nAnswer: -68796*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-y + 3*y + 0*y) + 24*y + 65*y - 10*y + (2*y + 2*y - 2*y)*(-5 + 3 + 0).\nAnswer: 79*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 3:36 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - t**2 + 4*t + 1. Let l(p) = -3*p**3 + 15*p**2 + 39*p + 10. Let f(a) = l(a) - 2*o(a). Determine f(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/818604 and -29\/81.\nAnswer: 7367436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7326 and 2688345?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -603 - -305. Let a = 1809 + f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**8\/588 - 4*f**7\/735 + 3*f**6\/35 + 8*f**5\/105 - 41*f**4\/42 - 20*f**3\/7 - 2*f**2 - 2. Let l(z) = 0. Calculate z.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4798*818\/12)\/(-8). Let f = b + -40877. Find the common denominator of f and (-16)\/(-6)*((-24)\/(-21) - 1).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 5*g**2 - 5*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1288*h - 36520. Calculate a(-29).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*r - 37 + 13 = 0, 4*b + r = -24. What is the common denominator of -99*(-3 - 15\/b) and -69\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 725 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 12:48 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66912 by 3087.\nAnswer: 22304\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.88. Let n = -497206.8800006 - -497207. Let y = n - l. What is y rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (10 + (-14 - (-11 + 6) - 64) + 14)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-384)\/(-120) + (-8)\/(-10). Let u(b) = -b**2 + 7*b + 2. What is u(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -529, 0.7.\nAnswer: -529, -0.5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*a + 4*t, 4*a + 3*t - 50 + 9 = 0. What is the highest common factor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1\/9, -271, -4, 0.084?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10204 + 10588. Calculate the lowest common multiple of b and 864.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 17.254012.\nAnswer: 10.3524072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 12984400 to the nearest 100000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6131*p**3 + 6128*p**3 + 27873*p - 27873*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 14*u - 182 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2. Let x(s) = -17386177*s. What is x(q(r))?\nAnswer: 86930885*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.25, -189, -32.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + 222\/5. Suppose -7*s + b = -33. What is the remainder when 32 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 503, 680?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 13. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 4*x**3 + 0*x**3)*(4 - 4 + x + (-5 + x + 5)*(2 + 0 - 3) - 4 - 5*x + 4).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 6*a**2 - 3*a. Let c(f) = 16*f**3 + 1125*f**2 - 18*f - 2. Calculate -c(o) + 6*r(o).\nAnswer: -4*o**3 - 1089*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 89609a?\nAnswer: 8960a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1872) + 4 + (5 + sqrt(1872) + 0 + sqrt(1872) - sqrt(1872))**2 + sqrt(1872).\nAnswer: 108*sqrt(13) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16468 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -257, 2, -1, 4 in ascending order.\nAnswer: -257, -64, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-2 + 2)\/(-2). Let k be 31*(2 - 1) + -2. Let t = -20 + k. Solve 3*m - 21 + t = h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + (11 - (-10 - -16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 271*k**2 + k + 28. Let i be g(9). Let v = i + -12875. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.3 - 2.7. Let y = -10.4 - j. Let o = y + -1. What is the second biggest value in o, 1\/4, 3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 3*g - 9. Solve d = h - 1, g*h - 7 = d + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 273*f**2 + 679*f - 679. Let h be x(1). Suppose -4*p + 7 = -41. Is h\/p - -2 - (-2)\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 3*l**2 + 10*l + 18. Let z be o(-3). Solve -z*m = -16*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 77, 170, 311, 506, 761?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5125 - 3514 + 4*j - 3*j - 3*j.\nAnswer: -2*j + 1611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:08 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2261)\/68)\/(806\/(-936) + (-24)\/27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -132*p + 139*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = -2*i + 6, 3*j - 15 = -5*i. Let c be (-112)\/(-280)*(4 - (-21)\/(-9)). Let -4\/3*h**3 - c*h**2 + j + 2*h = 0. What is h?\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w - 11285 - 5767 = 0. What are the prime factors of w?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from gtztotzztzttyzyo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 605 and 28325?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2656 + 1723 - j - 804 + 12 + 1525 in the form w*j + b and give b.\nAnswer: 5112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -44*q**2 + 2*q - 11. Let k(i) = -17*i**2 + i - 4. Let n(j) = 8*k(j) - 3*t(j). Let a(f) = -21*f**2 + 9*f + 6. Give -2*a(v) + 11*n(v).\nAnswer: -2*v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-273)\/(-108) - (-8)\/32) + -3. What is the third biggest value in -0.56, 4, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 2*c + 14*c)*(-2*c**2 + 6*c**2 - 2*c**2) in the form i*c**2 + x + z*c**3 + o*c and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/4 - t**3\/2 - 4*t**2 + t. Let j(n) = 13*n**2 + 42*n - 3. Let d be j(-3). Let q be w(d). Round q to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3110 is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63966042?\nAnswer: 2, 3, 7, 507667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1053, -1092, -1133, -1176, -1221?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 957009704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*r + 21 = -287, 0 = j - 3*r - 134. Is j\/(-4)*-2*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/14*8\/(-6). Let s be 2\/((-24)\/(-14))*42. Suppose -32 = 33*z - s*z. Solve -2*p - 5*a + 35 = 0, 35 = 3*p + z*p + y*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 90 = -0*q. Solve 5*y + 2*f = 3*y + 20, 3*f - q = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 102.9. Let o = -22 - f. What is the nearest to o in 5, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 12:38 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r = 15. Calculate the remainder when 5 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2437 and 76185494?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24152999*y + 4219382.\nAnswer: -24152999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 7 in decreasing order.\nAnswer: 9, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421217982.\nAnswer: 2, 3, 29, 89659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a - 30. Let n = 27 + a. Suppose 2*g - 3*j = 12, 4*j + n - 1 = 2*g. Solve g + 4 = o + u, 5*u + 4 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Suppose 0 - 5 = -i. Let g = 12 + -7. Let c(v) = -g + i + 2*v. Determine h(c(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022011 + -220012?\nAnswer: 101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 3\/2 (c) -4 (d) 20\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 10. Let g be (-1)\/4 - (-2751)\/(-84). Let u be -3 - -1 - (g + 1). Solve 5*v + z*c + u = 0, -4*c - 20 = -0*v + 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.047 and -9723.\nAnswer: -9722.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 + -8 - 9)*-1. Suppose 16*r - 17*r - 5*s + 307 = 0, m*r = 2*s + 626. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 563937 - 391318. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/7)*((v**(-3)\/v*v)\/v)\/v*(v**1\/v*v)**(40\/3)*(v\/(v*(v\/v**5)\/v)*v\/(v**(-3\/4)*v)*v)\/((v\/((v**(-1\/2)*v)\/v))\/(v**1\/v)) assuming v is positive.\nAnswer: v**(1177\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 812 divided by 258\nAnswer: 406\/129","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1589 - -2968. What are the prime factors of j\/1 + 44 + -39?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y + 0*y + y**2. Suppose 2*f + 3*f - 10 = 0. Let a(k) = -k**2 - 2*k. Let i(b) = -3*b**2 - 9*b. Let u(o) = f*i(o) - 9*a(o). Calculate m(u(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1.0479 (c) 13 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.5, -80, -1\/3, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 209*i**4\/2 - 745*i - 2177. Differentiate s(k) with respect to k.\nAnswer: 1254*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42\/5 of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b + 18. Give t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31160 or 0.0008?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 117\/(44\/(-4) + (-75)\/(-6)). Suppose 0 = 3*f - 2*f - 78. Does f = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*o = -10, 14*o - 18*o = -y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111011011000110000 (base 2) in base 6?\nAnswer: -122055104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32030 divided by -10?\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 326565536 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0 + sqrt(304) + sqrt(304)*-1 + sqrt(19))**2 + -3.\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4144767?\nAnswer: 3, 11, 29, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**30\/(t*t**49*t) assuming t is positive.\nAnswer: t**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 14*c - 237 - 238 + 711.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16395, -16389, -16381, -16371?\nAnswer: -16359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12673 = 65*q - 42*q. Calculate the greatest common divisor of 609 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 39, 72, 127, 210, 327, 484?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -50.8146\nAnswer: -101.6292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(190)*1)\/((-1*sqrt(80))\/sqrt(8) - sqrt(10)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/39 - (0 - -2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 2*t + 4*t + (-23*t + 44*t + 19*t)*(2 - 12 + 4) - t + 0*t + 0*t - t - 4 + 4 + (-4*t + 2*t + 4*t)*(2 - 1 + 1).\nAnswer: -236*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*q = 210*q - 22. Solve 5*h = -3*f + 20, h + 9 = -0*h + q*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*d + 100 = 291*d. Solve 0 = 11*u + 82 - d for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5025, 4906, 4781, 4650, 4513?\n\"Answer: -3*u**2 - 110*u + 5138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2085554 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 761173 and 761173.\nAnswer: 761173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -481, -725, -971, -1219?\nAnswer: -1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -25. Suppose 8*d = m*d + 3. Solve -d*q = -5*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/78)\/((-232)\/(-1508))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7004528?\nAnswer: 2, 43, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/15)\/((-7)\/((-875)\/10)). Sort 2, i, 0 in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 4*g + 19. Let u be y(6). Let h be (735\/2)\/(-10*u\/(-1680)). What is h rounded to the nearest one hundred?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949998 < 1949999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v**4 - 2*v**2 - 9*v**4 + 5*v - 2 - 3*v**4 - 2*v**3 in the form f*v**4 + a*v**2 + s + y*v**3 + b*v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 107615355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 151612?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -3*c, -22 = -5*c - 2. Let t = -1 + -4. Let i = 14 + t. Calculate the remainder when i is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61138956 by 5094913.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 5. Let x be 3*((6 - 2) + o). What is the second derivative of -5*c**x + 0*c + 6*c + 3*c**3 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 372.\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**3*y**2 - 1529*l**3*y + l**2*y - 2*l**2 - 3481*l*y**2 - 2 wrt l?\nAnswer: 24*y**2 - 9174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5*m**3\/3 + 9*m**2 + 18*m. Differentiate r(u) with respect to u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - -1882*3\/378. Let t = z - 124\/7. Let 4\/9*o**3 - 2\/9 + t*o**4 + 0*o**2 - 4\/9*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 47. Let g(z) = -z**2 + 28*z + 4. Let t be g(28). Which is the nearest to h? (a) -3\/13 (b) -1\/2 (c) 1\/2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*((0 + 3 + 0)*(-2 - 5*b + 2) + (-2 - 1 + 1)*(b - 4*b + 2*b) - 2 - b + 2).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 16 = 3*m - c, 2*m = 5*c + 28. Let q(k) = -m*k + 47 - 47. Determine q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -2*d**4\/3 - 154*d**2 - 187*d. What is the first derivative of a(s) wrt s?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l = d + 83, 0 = -3*l + 5*d + 121. Suppose 3*b = 4*h - 92, 2*b + 17 + 6 = -5*h. Let o = l + b. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 34 = -21*g - 5*j - 98, 5*g = 5*j + 60 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**4 - a**3 - a**2 - a - 29. Let i(l) = 33*l**4 - 26*l**3 - 2*l**2 - 2*l + 308. Let q(p) = i(p) - 2*m(p). Differentiate q(z) wrt z.\nAnswer: 124*z**3 - 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34608*g*x**3 - 7*g*x**2 + g*x - 6*x**4 - 19*x**2 - 193*x wrt x.\nAnswer: 207648*g - 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-224)*4)\/(2\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a20536 - -2?\nAnswer: -a20534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 11 + -19 - (-4 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(119) + (-5*sqrt(119)*-1 - sqrt(119)) - -1*(sqrt(119) + (-2*sqrt(119) - sqrt(119) - sqrt(119)) + sqrt(119))))\/(4*2*sqrt(28)*4).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4088 - -0.022\nAnswer: -4087.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -33, 5, -4, -1, 3 in ascending order.\nAnswer: -33, -29, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545 = q - 70*z, -139221*q + 2*z = -139222*q + 39 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 823924846.75 and -0.15?\nAnswer: 823924846.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35.8 and 0.2654.\nAnswer: -35.5346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702605?\nAnswer: 5, 740521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 307355*t**2 + 307360*t.\nAnswer: -5*t*(t - 61472)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -7*p**5\/60 + p**3\/6 - 3*p**2. Let b be d(1). Let a be (8\/12)\/((-10)\/b). Is 0.4 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -8. Let t(s) = s**3 - 2*s**2 - 7*s - 3. Let q be t(-2). Sort r, 3, q.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdppphppdpdp. Give prob of sequence hd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 16*n**4\/3 + 91*n**3\/3 + 54*n**2 + 68*n\/3 - 40\/3 = 0.\nAnswer: -2, 5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7210494565 take away -0.1?\nAnswer: -7210494564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/318000 and -17\/3180.\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -194, -178, -156, -128?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c + 1 + 4 - 2. Let m be f(-2). Suppose -s - s - 2 = 0. Let t(z) = z**2 + z + 1. Let k(w) = -3*w**2 - w - 1. Give m*t(p) + s*k(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9335 - 2461. What is the highest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131322403 (base 5) to base 8.\nAnswer: -2370523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*c - 4 = -1, 5*y + 2*c - 1 = 0. Suppose 4*b - 21 = -y. Solve -l + 4*l = -5*d - 6, 0 = -2*d + b*l - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7680 - -7680.007402. Round c to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*-1)\/(sqrt(35)\/sqrt(5)*4 - sqrt(7)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*k**2 - 3*k + 32 wrt k.\nAnswer: 32*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/6 + 2*i**2. Let r(o) = -16 - 3*o + 16 + o. What is m(r(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 > 1423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/((6\/(-120))\/(9\/(675\/20))). Solve 21*z = 33 - o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - b)*(-1 + 2*b + 1)*(-5 + 5 + 6).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*v - 35. Let r(f) = -f**2 - 25*f - 28. Let j be r(v). What is the highest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 - -0.6369?\nAnswer: -296.3631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 21. Let x be (-2)\/(-4) + (-133)\/l. List the prime factors of (21*1)\/(x\/(-6)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:40 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 15*140\/210?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 33*j**2 - 83*j - 77. Let o be q(-35). Calculate the highest common factor of 162 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19487 and -12.575.\nAnswer: -12.38013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 210\/45 - 2\/6*-1. Suppose 0 = -2*g - t + 4, -x = -g + 3*t - 2*t. Solve -2*u = -g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -159*z + 783. What is l(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1 + 3. Suppose 4*y + 15 = 3*m, -y - 2 - 3 = -k*m. Suppose 5*h + x = -x - 16, x - 22 = 5*h. Sort -1, y, h in descending order.\nAnswer: -1, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 53 = m, -3*q + 8263*m + 120 = 8259*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s**3 + 0*s**2 + 3\/2*s**4 + 0*s - 6. Let n(v) = v**3. Give -3*n(b) + p(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -19, 10, 63, 146, 265, 426, 635?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - j + 0*j + 9 = 0, -v = -2*j + 7. Let t = v + -4. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -98*b. Let o(n) = -2*n. Determine o(h(l)).\nAnswer: 196*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kioqnkf. Give prob of picking 1 k and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 16 = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -10. Is 16 a factor of (-3 - 34\/r)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-7*y - 9*y + 4*y)*(-7*y - 5*y + 8*y - 1).\nAnswer: 96*y**2 + 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 59*o - 17190794 = -0*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-2 + 7 - (-14 + 7 + 14))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 - 2.56. Let z = 7 + -2. Which is the third biggest value? (a) z (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 3*g + 13 = 0, 3*k - 2*g = 7. Let d(z) = z**3 - 15*z**2 + 14*z. Let s be d(14). Do k and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110975552 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**2 + 17*b**2 + 16*b**2 + 132891*b**3.\nAnswer: 132891*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -0.22 (b) -2 (c) 1\/4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:49 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2301 - -7.8101. What is b rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 66 = 5*b - 6*a, -4*b - 5*a = -20. Suppose 3*z - l = b, 5*l + 12 = -2*z + l. Suppose z*x - 196 = -2*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 4, e: 3, g: 3}. Give prob of sequence ge.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 11*u**2 - 50 - 10 - 29*u**3 + 31*u**3 to the form x*u + y + p*u**3 + c*u**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/15 + 51\/9)*1. Suppose 0*s - 48 = -2*x + 4*s, 0 = w*s - 15. Is x > 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 + 1672*3717\/(-42840).\nAnswer: -6\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -3 (c) -2.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 177.07. Let k = j - -0.07. Which is the second smallest value? (a) k (b) -3\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 221?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03544 - -4.06144. Let o = s + -0.026. Which is the biggest value? (a) 0.02 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o + 4. Let j(y) = 8*y + 4. Let z(f) = -3*a(f) + 2*j(f). Let b be z(-3). Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 7:27 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15*1)\/((-1)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -831, -1236, -1627, -1998?\nAnswer: -2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sevenths of a week in hours?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enveyoeye. What is prob of picking 1 e, 1 y, and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/(-64) + 2\/4)\/(7\/56)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31256?\nAnswer: 2, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 0*c + 0*c)*(-93 + 5*c + 33 + 44).\nAnswer: 10*c**5 - 32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpmpppmmmm. Give prob of sequence mpm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -47. Suppose 0 = 3*t - 5*w - 324, -5*w + 3*w + 200 = 2*t. Calculate the common denominator of t\/d + (-5 - -3) and 63\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31782 is divided by 51?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -385*h + 358*h + 104517. What are the prime factors of h?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5492*z + 5472*z = -140. Suppose 5*o - 3*x + 47 = 0, -x = 4*o - 5*x + 36. Let v be (-42)\/o - (z + 0 - 3). What is the nearest to v in -0.1, -2\/5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 k when three letters picked without replacement from wwjbgagk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171572 is divided by 55974.\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (82320\/87808)\/(((-10)\/(-12))\/(-1))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 21*s + 9. Let u(j) = j**2 + 7*j - 2. Let c be u(-8). Suppose 2*r - 94 = c*r + 5*q, -2*r - 42 = 5*q. Let p(z) = -5*z - 2. Give r*p(y) - 6*t(y).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1)\/((-1)\/1). Suppose u = -2*m + 35 + 11. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(204)*1)\/(-5*-1*sqrt(12)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2*(-6)\/(-8)). Let o(x) = -x**2 + 2*x + 4*x - j*x. Let m be o(3). Solve -5*r = 0, m*z + 3*r = 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(2151 - 77*c - 2151).\nAnswer: -77*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20463*-2.1.\nAnswer: 42972.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.64901 to two dps.\nAnswer: -14.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f9532 (base 16) in base 9?\nAnswer: 1825774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 78*c - 5 = -29*g - 79*c, 0 = -5*g + 14*c - 70 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-827)\/(-2481))\/((-1)\/(-24))*5\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164 divided by -55?\nAnswer: -3164\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 8585?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0115638 to 4 dps.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u + 1. Let p = 34952 - 35100. Let r(l) = 37*l**3 - 148*l**2 - 148*l + 148. Give p*i(j) + r(j).\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = -3*w + 2709, w - 3*v - 893 = 0. Let s = w - -35. Is s a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999492 is divided by 172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -427439\nAnswer: -25646.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*783\/(-11223).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098199 a multiple of 903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 17*u + 28. Suppose u*n - 10*n = -24. What is the lowest common multiple of n and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9231792 - 14943392. Round b to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.058 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-110)\/20 + (-126)\/(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 2*y**2 + 2*y + 1. Let c be b(-2). Let u be 2\/c - (-2612)\/(-20). Let q = -1331\/10 - u. Find the common denominator of -3\/10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:30 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830943.\nAnswer: 3, 17, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6)*20\/(-15). Suppose 0 = -v*b - 12 + 82. Solve -34*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85267 - 85264. Find g such that -10\/13*g + 4\/13 + 8\/13*g**2 - 2\/13*g**i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*w - 237 = -0*w, -12 = -4*w. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1617612 - 5?\nAnswer: -1617617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42863, 42952, 43113, 43364, 43723, 44208?\nAnswer: 44837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -4*t - 2*s, 0 = 10*s - 86 - 124 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39954 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/4 + 1593651*o\/2 - 846574503267\/4 = 0. Calculate o.\nAnswer: 531217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/(sqrt(4) + sqrt(16)*4).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-2)\/sqrt(8).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78 or -37?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 61 = -191. What is the greatest common factor of 112 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 42. Determine i(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1323? (a) -0.5 (b) 12 (c) 4 (d) -2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 6. Let s be t(2). Suppose -i = -d - 1, i - 3*d = -s + 1. Solve -3*w + i = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0781+-5\nAnswer: -4.9219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 4 + 5*y - 2 - 1. Let t be z(1). What is the least common multiple of 18 and 1\/t - 45\/(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + q + 1. Suppose -5*d = -3*r - d + 14, -4*d - 16 = -4*r. Let y(n) = 34 - 38 + 4*n + n**r - 6*n + 4*n**2. Give -4*l(g) - y(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19408027*n**5 + 915569*n - 15 wrt n?\nAnswer: 388160540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5944839611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-28)*2 + (-3228)\/(-14). Calculate the greatest common divisor of 46 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 440 - 1052. Let t = 2269 + h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m**3 - 3*m**2 + 3*m + 9. Let o be s(-2). Suppose 0 = -x - 16*x + o. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5. Let b(q) = 2824*q**2 + 8*q. What is b(h(u))?\nAnswer: 2824*u**4 + 28248*u**2 + 70640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902510 a multiple of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 41788?\nAnswer: -25072.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*i**2 + 30*i**3 - 5*i**3 - 11*i**3 + 10 - 3*i**2 + 41*i**3 - 55*i = 0. Calculate i.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1244)\/6*(-168)\/112. Let m = 314 - o. Solve g - f = 2, 6*g - m*f - 11 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8 = 23. Find the third derivative of 3*r + 2*r**3 - r**2 + 0*r**2 - x*r wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 17556.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 31. Let n = -322 - -568. Let f be (4\/x)\/(1\/n). Round f to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/5, 83, -80, 0, -4\/3 in ascending order.\nAnswer: -80, -4\/3, 0, 2\/5, 10, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1218 and -1.\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 3*c + c - c - 4*c + 0*c - 2*c + c + 2*c - 2*c - c + 4*c + (-1 - 1 + 4)*(-5*c + 3*c + 3*c) + 2 - 2 - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhdd when four letters picked without replacement from dddhddhddhdddd.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 364626007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_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: Calculate (-408)\/(-48)*(-252)\/(-175644).\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 3430?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5 + 1 + 3*y - 2 - 5. Let b be q(1). What is the second derivative of b*x**3 - 25*x + 0*x**3 + 39*x wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 18*x = 2*f - 12, -9*f - 3*f + 15*f - 8*x = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let x be f(1). Let l be ((-8)\/x + 2)\/(-2). What is the tens digit of 9\/l*(-30)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025346 rounded to 7 decimal places?\nAnswer: -0.0000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 18 = 0. Suppose -p + i = -11. Suppose -4*h + 649 = p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.224 - 0.024. Let a = d - -21.3. Let l = -27 + a. Sort -2, -4, l.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 63*a + 1695 = 0. Calculate the remainder when a is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 109, 91, 55, -5, -95?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -23. Suppose 0 = 35*d - 31*d - 80. What is the units digit of 89 + 3\/(y\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i - 15, s + 4*i - 26 = 0. Let b = -3 - -19. Let d(j) = -j + 20. Let u be d(b). Solve 0 = -s*n + u*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.47, 3, 5?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u - 2)*((-6 + 7 + 6)*(0 + 0 - 2) - 7 - 126 + 39)*(-3 + 6 - 2).\nAnswer: 216*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 120.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**4\/10 - 15*g**3\/2 - 44*g**2\/5 - 14*g\/5 = 0.\nAnswer: -7, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -46. Suppose -2 = h + 10. Let r = h - j. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*l + 116, -116*c + 115*c - 2*l - 18 = 0. Sort -4, c, 0 in decreasing order.\nAnswer: 0, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96973771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -166 + 161 + (3 + -7 - -3 - 36).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 7*p - 90 + 76. Suppose 17 - 5 = -3*y. Let c(u) = -2*u + 5. Give y*l(o) - 11*c(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/7 (b) -2.2 (c) -4\/1551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 158.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 + i**2 - 4*i + 3. Let b(w) = -38*w**2 - 7*w + 7*w**3 + 22*w**2 + 17*w**2 + 5. Determine -3*b(r) + 5*q(r).\nAnswer: -r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + w**2 - 28*w**2 + 117 + w**2 + 15.\nAnswer: -33*w**2 + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*h**4*n - h**2*n + 89*h*n wrt h?\nAnswer: 936*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1 + 1 + 29. Let s = -2636 + 2678. What is the greatest common divisor of s and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724*q**2 + q + 82 wrt q.\nAnswer: -1448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0493*0.2.\nAnswer: 0.00986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 2515, 8702, 20785, 40726, 70487, 112030, 167317?\nAnswer: 238310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13614 is divided by 2269.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.101 + -0.001. Sort 7, u, 0.2 in descending order.\nAnswer: 7, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*d**4 - 209*d**3 + 20935*d**2 wrt d?\nAnswer: 3936*d - 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*f + 1497*f = 0, -4*k - 33 - 20 = 2*f - 3 + 6 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65579206 from 266.7.\nAnswer: -65578939.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 - 6*g**4 + 7*g**4 + 12 - g**3 in the form u*g**3 + l*g**4 + d*g + x*g**2 + w and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14844842 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*f + 4, 81*o - 78*o + 2*f = -26 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 42*k = 20520. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39648818 at least 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*(c\/(c\/(c\/c**(-19)*c)))\/c)\/(((c\/((c*c*c\/(c**(-4\/3)*c*c)*c)\/c)*c)\/c*c)\/c**(2\/13)) assuming c is positive.\nAnswer: c**(721\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1139 + 1957. Let q = d - 21. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3. Let i(z) = 0 + 4 + z**2 - 5. Let r(c) = -7*c**2 + 7. Let d(a) = m*r(a) - 6*i(a). Factor d(f).\nAnswer: (f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 215246.\nAnswer: 2152.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 9*v + 1. Let f be h(4). Solve 11 = f*d - 0*d - 4*u, d - 15 = 4*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1\/4, -1735, -5, 0.08, 0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6645, 13311, 19981, 26655, 33333, 40015, 46701?\nAnswer: 53391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9357.762kg in grams?\nAnswer: 9357762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 + 392 + 386 + 398 + 399 + 341 - 1916.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-1)\/1)\/(((-9486)\/(-357))\/31)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 280*m + 8. Give v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/899827 and -7\/41.\nAnswer: 899827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12. Let r(c) = n*c**2 + 3*c**2 + c + 3*c - c**2. List the prime factors of r(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 1692372?\nAnswer: 1692372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42648523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 36 = -7*z. Let v(b) = -b**2 + 4*b - 3. Let n be v(4). Let g be (z\/n)\/((-6)\/(-4)). Is -2 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + (-3)\/12. Suppose -2*d = 5*v - 6, 2*v + 3*d = -k*v - 2. Let f(y) = y**3 - y. Let j be f(0). Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69710311418 - 69710397130.872277. Let c = -86188.8725 - a. Let r = -476 - c. What is r rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1 - (-11)\/(-33)*9. Suppose a = -55*p + 47*p + 240. What is the smallest common multiple of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292421 and 1337.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1*(0 - -104). Calculate the greatest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 621695278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**7\/70 + 2*y**6\/25 + 3*y**5\/25 - y**4\/10 - y**3\/2 - 3*y**2\/5 - 2*y. Suppose u(f) = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832712.9ml to litres.\nAnswer: 832.7129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7166.823 and 0.3.\nAnswer: -2150.0469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 7. Let y be j(6). Let c(v) = -2*v. Let k be c(y). Let w(d) be the second derivative of d**4\/6 - 2*d**3\/3 + 3*d**2\/2 + d. Give w(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*r**2 + 5 + r**4 + 3*r**3 - 12*r + 19 + 2*r**4 = 0. Calculate r.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81086793 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6 - 264270*j**4 - 3*j**3 - 11145145*j**2.\nAnswer: -120*j**3 - 6342480*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193259 is divided by 358.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3453 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 12580?\nAnswer: 113220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 234487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.036+8.3049\nAnswer: 8.2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4597971497 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {x: 4, k: 2, a: 1, b: 3, s: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.021 in -1\/8, 0.4, 7, 2\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2. Let n(f) be the second derivative of -17*f**5\/60 + 23*f**2\/2 + 74*f. Let x(s) be the first derivative of n(s). Calculate r(x(j)).\nAnswer: 2312*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 16 = -4*p, -4*d = -3*p + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15000 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2415023 (base 8) to base 7\nAnswer: -5425063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 4. Let o be v(-2). Let j be 9 - (-585)\/(-63) - 5\/(-7). Which is the smallest value? (a) j (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1511423 - -30?\nAnswer: -1511353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151703, 151998, 152293?\nAnswer: 152588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 202.1920464 to zero dps.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 5*n - 2. Let g be (-15*5\/(-30))\/(1\/(-2)). Determine a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313015 or -313016?\nAnswer: -313016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -c7b4 (base 13) to base 4\nAnswer: -12300232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3662 - -3664. Solve 5*s + l = 4*l - 21, 0 = y*l - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11))**(-2\/39)*((t\/(t\/(t\/(t**(5\/6)\/t*t))))\/t)\/t**(3\/5) assuming t is positive.\nAnswer: t**(-6109\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 16736?\nAnswer: 16736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, s: 3}. Give prob of picking 3 f and 1 s.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 18, v: 2}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061420.84 seconds in days?\nAnswer: 23.8590375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 379 - -3572. What are the prime factors of p?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 3:54 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 + 8*j + 99. Let h be k(-7). Put -0.15, 4, h in ascending order.\nAnswer: h, -0.15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(17\/(-1819)). Let c = p - -278. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2589, 5144, 7661, 10140, 12581, 14984, 17349?\n\"Answer: -19*b**2 + 2612*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/9 and 13\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 112?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 4766*m**3 - 43040*m**2 + 38272*m.\nAnswer: 2*m*(m - 8)*(m - 1)*(m + 2392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*d - 230 = 0, -11738*o - 3*d + d = -11732*o - 276 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbuikkbbkuikiu. Give prob of sequence bui.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76331219 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k = 4589 + 12689. Let g = k + -336. Sort -3, -5, g, 4.\nAnswer: g, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**2 + 4. Determine v(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {p: 3, f: 3, q: 1, y: 1, i: 5}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*10952\/62272)\/2. Let d = j + -88\/417. Calculate the common denominator of -37\/112 and d.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3652711186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4485 and 2875?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g + 57*g - 436 = 0. Let v = -235 - g. What are the prime factors of v?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 302.843g?\nAnswer: 302843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35614 is divided by 35606.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -57461.36 to the nearest 1000.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-15*1\/(-12).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-7 + (2 - 1))) + (18 - -6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2558517\/70 - -36552. What is the common denominator of 61\/105 and j?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/2092025 and 109\/7930.\nAnswer: 255227050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -934 (b) 0.000913 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 6, 344 in descending order.\nAnswer: 344, 7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42637597?\nAnswer: 61, 698977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/126)\/((-705)\/(-658)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2799, -5596, -8393, -11190, -13987?\n\"Answer: -2797*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*t**2 + 12*c*t**2 - t**2 - 38 with respect to c.\nAnswer: 8*c*t**2 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7244995 or -7244997?\nAnswer: -7244997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.7 - -45.4894. What is q rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55749515 to the power of 1\/2, to the nearest integer?\nAnswer: 7467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 2. Suppose 5 = 5*l - 5. Let r(z) = 4*z - 7. Give l*r(k) + 7*m(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3\/14)\/(1971\/511)*(-3)\/15.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**5\/l*l)\/l))\/(l*l**(-12)) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*21\/162*12\/(-56).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2740)\/60 - (2480\/60 + -38)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238107 and 5836191?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -314*n + 312*n - 44 + 4 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2285 + 237?\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*s - 1346 + 285 - 39 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 49 + 6*(-1)\/(-2). Suppose -89*y + 92*y = -111. Let z = l + y. Calculate the highest common factor of z and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) -4 (c) 3 (d) -1 (e) 768 (f) 137 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16884 divided by -28?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jkjjkjjj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101000010001011011101 - 11?\nAnswer: 1000101000010001011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 958\/5 - 191. Put a, -53, -5 in decreasing order.\nAnswer: a, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93707.\nAnswer: 83, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 + 10221?\nAnswer: 10162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) + (-9)\/68. Let a(y) = -y**2 + 5*y + 5. Let s be a(5). Suppose s*g - 4 - 1 = 0. Is g at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538*q - 31 = 1534*q + o, -2*q - 2*o = 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 + x - 1. Let p(m) = 3 - 11*m**2 + 3*m**2 + 5*m**2 + m**3. Let y(f) = -3*n(f) - p(f). What is the second derivative of y(t) wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/7 - 255972*o\/7 - 511928\/7.\nAnswer: -4*(o + 2)*(o + 63991)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.45 - -3.34. What is the closest to -1\/5 in 4, q, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (150\/325)\/((-9)\/(-312))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -617 + 618. Let f be -6*28\/(-42) + (o - 10). Sort 24, 4, f.\nAnswer: f, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-f - 2*f**2 + f) - f**2 - 11*f**2 + 0*f**2 + 0*f + f**2 + 0*f + 2*f - 2*f + 2*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z + 7 = -d, 2*d - z - 4 = 0. Let g be d + 2 - (-1 + 3). Is g - (-21 + 1\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 (base 10) in base 6?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 102*d + 71. Let u(p) = -100*p - 61. Let n(j) = 7*u(j) + 6*y(j). Let b(o) = o - 9. Let r be b(8). What is the tens digit of n(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(63)\/sqrt(9))*-4 - (sqrt(847) + 2 + sqrt(847))*-5)**2.\nAnswer: -424*sqrt(7) + 78656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 210?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (7 + -3)) + (2922 - 2). Suppose z - 8053 = -v. Suppose 2*x - 4*h - 2578 = 0, -h - z = -4*x - 5*h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + -106. Suppose a*c - 11216 = 4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011010111010011110101 + 111?\nAnswer: -1011011010111010011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-54)\/30 - (-8377899)\/205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493558?\nAnswer: 2, 13, 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 2*h**2 + h + 9. Calculate the least common multiple of j(-3) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j + 3*j - 2*j. Let o(w) = -8*w - 14 - 4 - 9*w + 5. Let t(b) = 4*b + 3. Let s(i) = -6*o(i) - 26*t(i). Give s(a(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*12\/1. Suppose y*k - 9*k = 3. Let n = 9 - k. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m. Let i(v) = -v**3 + 4*v**2 - 4*v + 3. Let a be i(3). Let n(x) be the second derivative of -x + 0 + a*x**2 + 1\/6*x**4 + 0*x**3. Calculate s(n(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 652ec + -468?\nAnswer: 64e84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3254308, -6508615, -9762922, -13017229, -16271536, -19525843?\n\"Answer: -3254307*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -194*g - 11175. Calculate a(-58).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 451*f**6*w + f**5*w**2 - f**2*w**2 + 93*w**2 wrt f.\nAnswer: 54120*f**3*w + 60*f**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*f**3 - 1172*f - 194*f**2 - 11*f**3 + 49*f**3 - 23*f**3 - 8237*f = 0. Calculate f.\nAnswer: -97, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*z - 59. Suppose w + 4*x + 1 = 163, -z*x = -3*w + 422. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 118*g**2 + 977*g + 429. What is b(109)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-5))\/((-9)\/10). Let m = 13713\/4 - 123409\/36. Factor -m*p**2 - i*p - 2.\nAnswer: -2*(p + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 4*k)*(k + 17 - k**2 - 13 - 8).\nAnswer: 3*k**3 - 3*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -c + 15 - 2, -c = -1. Let r(f) = -1 + s*f + 12*f + 11*f - 9*f. Let j(l) = -4*l + 161. Let o be j(40). Give r(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 87 = -223 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:23 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 + 4*v - 3. Suppose 4 = 5*f - 6. Let h be (-6)\/(-4) + (-1)\/f. Let u be 6*2\/4*h. What is d(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113708747 + -113708747.151000038. Let i = m - -0.151. What is i rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*n - 10 = 3*h, -5*h + 2*n + 4 = 0. Solve 0 = -h*v + 2*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -13 + 7)\/(-1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5 - 11. Suppose -k*h + 16 = -168. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282738?\nAnswer: 2, 673, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1234648 and 0.3?\nAnswer: 370394.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 23*l - 6*l**2 + 117 + 40*l - 91*l + 41*l - l**3. What is the lowest common multiple of 75 and y(-7)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -4) + 69*(-3 - -2). Let r = -47 - t. Suppose 2*a = -4*a + r. Solve -2*s + 2*i + 7 = -a, -s = -5*i - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3082 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 21. Let h be t(9). Let l(o) = -o**2 - 6*o - 3. Let d be l(-5). Suppose 8 - d = h*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 328\/39 + -117541\/13962. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -444 + -4130?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3724, 7\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 5)*((-14)\/6 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1496 - -2147. Suppose n = 6*n - p - 20, p = 2*n - 11. Suppose -g = n*b - 6*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*((3*-2*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110) + sqrt(110) + sqrt(110) - sqrt(110)))\/((sqrt(490) + (sqrt(490)*-1 - sqrt(490)))*3) + 3).\nAnswer: -12 - 16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 6403563*q.\nAnswer: -3*q*(q - 2134521)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5\/3 - 10495*b**4\/3 + 74780*b**3 - 1282325*b**2\/3 + 1322404*b\/3 - 84640 = 0 for b.\nAnswer: -2645, 1\/4, 1, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Suppose 2*d + w - 10 = -d, 0 = -5*w + 5. Suppose 2*v + l - 27 = 0, -d*v + 2*l + 4 = -54. Calculate the highest common divisor of y and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*l + 322, -4*z + 5*l + 534 + 88 = 0. Suppose 0 = 5*i + y - z, 3*i - y - 96 = -2*y. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 135, 696, 1385, 2268, 3411, 4880, 6741?\n\"Answer: 11*g**3 - 2*g**2 + 490*g - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*s**5*w - 7*s**5 - 7978*s**3 - 98*s**2*w - 4*s**2 + 121*s + 12*w wrt s.\nAnswer: 5340*s**2*w - 420*s**2 - 47868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 24*w - 782. Let g be o(32). Suppose -2*k + 6 = -c - 5, -3*c = -5*k + 30. Sort g, k, 2.\nAnswer: g, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -8*t + 3*f - 80, 4*f = -4*t - 108. Let d = 227 - t. Suppose -5*z + d = -w - 4*w, -10 = -2*w. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -216, -559, -986, -1497, -2092, -2771?\n\"Answer: -42*y**2 - 217*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330153.\nAnswer: 3, 110051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79604887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969901.\nAnswer: 17, 59, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32011 and -5.\nAnswer: 32006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + 20 + (7 - 45) + -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36209*h**4 + 18104*h**4 - 3 + 7*h**3 + 18104*h**4 + 33*h + 41*h**2 + 3.\nAnswer: -h*(h - 11)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.034 - 45.966. Let l = s - -50. What is the nearest to 2 in 1\/2, l, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57896 + 58099. Let r be (-2 + 1 + -1)\/(-2). Put 4, t, r, -2 in descending order.\nAnswer: t, 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 112 = 2*p - 2*w, 0 = 2*p - w - 164. Let f = p + -76. Let g(c) = 0*c**2 - 5*c**2 + 2 - 7*c + f*c**2 + c**2. What is g(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) 50 (c) -16697 (d) 1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.091*-0.4.\nAnswer: 1.2364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 18\/11, 0.4, -0.3, -6\/7?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39103 or -39080?\nAnswer: -39103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53439.39mg?\nAnswer: 0.05343939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -198*o**5\/5 + 7504*o**4\/15 + 22466*o**3\/5 - 230132*o**2\/15 + 41488*o\/5 + 6272\/3 = 0.\nAnswer: -8, -5\/27, 1, 2, 196\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4*2\/3). Suppose -3*o = -o. Suppose 5*f - f = o. Is f <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1\/5 (c) -3 (d) -0.148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 64*o**2 - 209*o + 91. What are the prime factors of t(-35)?\nAnswer: 7, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752*g - 820*g = -1020. Suppose -4*b - 397 = -2*j - 147, -3*b = -j + 130. Let w = j - -20. What is the greatest common factor of w and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19763071 is divided by 83.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102805912?\nAnswer: 2, 11, 1168249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {y: 10, c: 9}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 109652835, 109652834, 109652833, 109652832, 109652831?\n\"Answer: -x + 109652836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3121221322012 + -11?\nAnswer: 3121221322001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9961.1 + 9961. Put 3\/2, 5, h, 6.6 in decreasing order.\nAnswer: 6.6, 5, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 13959*z**3 + 10776*z**3 - 3209*z**3 + 3.\nAnswer: 21526*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1697\/7 - -243. What is the smallest value in 2\/9, 0.3, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5739*j**3*n*w + j**3*w + 390*j**3 + j*w wrt n?\nAnswer: 5739*j**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -769562\/87 or -8846?\nAnswer: -8846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/5 - 32*p**2 - 3354*p\/5 - 6084\/5 = 0. Calculate p.\nAnswer: -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5 - 12 + 8. Let s(c) = c**2 - 13*c + 4. Let j(l) = -4*p(l) + s(l). Find the second derivative of j(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let z(w) = 59*w. Let k(f) = -181*f. Let l(q) = -3*k(q) - 8*z(q). What is v(l(o))?\nAnswer: 71*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -255 - -261. Put k, -2, 5, -5 in descending order.\nAnswer: k, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -20733900\nAnswer: -1\/20733900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o - 3. Suppose -2*y + 15 = -7*y. Let f be a(y). Suppose -f*l = l - 16. Calculate the least common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(110) + 4*(sqrt(110) - (sqrt(110) + ((sqrt(110) - (sqrt(110)*2 + sqrt(110))) + sqrt(110) + sqrt(110) - sqrt(110)))))\/(-1*sqrt(160)).\nAnswer: -5*sqrt(11)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157609*w**4\/8 - 177388731*w**3\/2 + 399300693011*w**2\/4 + 1005798573*w\/2 + 5067001\/8.\nAnswer: (w - 2251)**2*(397*w + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j = 20. Suppose 4*n - 2*n - 12 = -4*t, 3*t - 9 = j*n. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1996*l - 2142*l - 2564*l)*(-2 + 6 - 3)*(0 + 0 - 2) in the form h*l + f and give h.\nAnswer: 5420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/136854 and 77\/2280900.\nAnswer: 6842700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0337 - 2.14\nAnswer: -2.1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:47 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 14 = x. Let m = -11 - x. What is the greatest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20\/3 + -22\/3. Let q be 4\/12*(700\/(-119) - (-2)\/(-17)). Which is the smallest value? (a) q (b) -5 (c) -0.3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -126, -262, -454, -708, -1030, -1426?\n\"Answer: -i**3 - 19*i**2 - 22*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(sqrt(117)\/(-3*sqrt(9)) + 0 + (sqrt(39)\/sqrt(3) + -5 - 4*sqrt(208))))**2.\nAnswer: 4140*sqrt(13) + 694261\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4240 is divided by 3515.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.880319 to the nearest integer.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12985, 29446, 45905, 62362, 78817, 95270?\nAnswer: 111721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -291*v**5\/20 - 175*v**4\/4 + 553*v. Find the third derivative of n(y) wrt y.\nAnswer: -1746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*18.327.\nAnswer: -3.6654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -355, -768, -1181, -1594, -2007, -2420?\n\"Answer: -413*z + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, -4, 51, -9860 in decreasing order.\nAnswer: 51, 4, 3, -2, -4, -9860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab9c8 + 9?\nAnswer: 1aba04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195945 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193066223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11029 - -11032. Solve 4*w = 8, 4*q - 3*w = d*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1125 = -4019.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/5)*b\/(b*(b**(-2)*b)\/b*b)*b)\/((b*b**(-8))\/b*b**(-2\/9)) assuming b is positive.\nAnswer: b**(433\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40425 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -985989, -985987, -985983, -985977?\nAnswer: -985969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (-32 - (-58 + 20))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 10. Suppose -5*k = 2*a + 29, 2*a + 2*a = -3*k - 65. Let w = -7 - a. Let v be c(w). Solve -5*b = -0 + v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/8)\/(6\/(-8)). Is w\/9 - (-339)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/(-8) + 5 - 9)\/(4\/1940464) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from ckcskfckycgckcff.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 329, 474, 623, 776, 933, 1094, 1259?\n\"Answer: 2*a**2 + 139*a + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n - 40. Let r be u(4). Let j be r + -4 + 0 + 4. Solve j = -13*f + 8*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312\/120)\/(8*25\/2000).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888554 is divided by 320898.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**4\/12 - z**3\/6 + 3*z**2\/2 - 28*z. What is r(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**2 + 2*c**2 + 5*c**2)*(29*c**2 - 62*c**2 + 38*c**2 + 4*c).\nAnswer: -5*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 970 - 1003. Which is the third biggest value? (a) -2\/5 (b) k (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 61, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6775 * -0.339.\nAnswer: -2296.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = -24. Let b(p) = 7 - t - 3*p**2. Let j(h) = 2*h**2. Calculate b(j(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153 - -27. Suppose 66 = 2*a - 37*d + 39*d, 0 = 5*a - 5*d - 195. What is the greatest common divisor of l and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4 + 2. Suppose 5*g + 8 = 2*y, -2*g - 20 = i*g - 5*y. Find the first derivative of 0 + 1 + b**3 + g wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1337855120 divided by 4\nAnswer: 334463780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (8 - (13 + 8 + -15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k = 35*k - 100 - 152 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, -23, -0.3, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*y + 1663 = 114*y - 526 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7517 - 1591. List the prime factors of t.\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:09 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-6)*3\/(-2). What is the units digit of 129\/4 + (-3)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 5, -91, -50, 6, 78 in descending order.\nAnswer: 78, 6, 5, 3, -3, -50, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 + 10*x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let i(s) = -3*s**2 + 4. Calculate q(i(y)).\nAnswer: 6*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3996 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 divided by 6.\nAnswer: 143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, 1071?\nAnswer: 1071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16*i. Let z(v) be the first derivative of 2*v**3\/3 + 27. Give s(z(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 570 + 522 = 3*a, 3*q = 4*a + 844. Calculate the remainder when q is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*f + 40 = -f, -5*f + 31 = c. What is the remainder when 64 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (18\/21)\/(2\/(-70)). Are -29 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - g - 60 + 76 = 3*m - 6, -16 = 2*g - 4*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhhxdhhhhhhhxxhxdhh. What is prob of picking 4 h?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6\/5)*m*m*m**(-1\/10)*m*m**(24\/11)\/m*m**(-8\/7) assuming m is positive.\nAnswer: m**(1339\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let m(r) = -6*r - 20. Let d(y) = -m(y) + 4*x(y). Let k be d(-9). Suppose -680 = 5*z - 685. Put z, k, 7 in descending order.\nAnswer: 7, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 34 + 155. Suppose -n = 4*b + 4*n + 9, -3*b + 3*n = -k. Solve 5*l = b*r - 36, 0 = -r + l - 0*l + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -1, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.329 + -1.671. Let d = -35 + 107\/3. Let c = -324.9 + 303.9. What is the second biggest value in r, c, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*t - 24*t**2 + 43*t as m + w*t**2 + s*t and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 - 49*j - j**2 + 50*j)*(-6 + 4 + 43)*(-5*j**2 + 2*j**2 - 4*j**2).\nAnswer: -1435*j**4 - 287*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*z + 660 - 2396 = 0. Solve 0 = 11*g + z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**4 - 220789*a + 360761?\nAnswer: 12*a**3 - 220789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3 + 51*q**2\/2 + 54*q - 19. Factor t(o).\nAnswer: -3*(o - 18)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 - (-21)\/6. Let q be ((-7)\/3)\/((-1)\/f). Is q at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:18 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -23*a**2. Let c(l) = 118*l**2 - 2*l. Give c(s(z)).\nAnswer: 62422*z**4 + 46*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 79790.16ug?\nAnswer: 0.07979016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4.9952. Round z to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10388, 5, -4, 4 in decreasing order.\nAnswer: 10388, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 241449168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28020149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0.7, 5, 0.4 in decreasing order.\nAnswer: 5, 4\/3, 0.7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 2, e: 5}. What is prob of picking 1 s and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*y + 216 = -487 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 2)*(3 + 2*w - 3) - w + 8 - 8)*(-4 + 1 + 2).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u - 6. Let s = -1 + 7. What is the remainder when b(s) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-8)*f)\/f**1)\/((f*f*(f**(-1\/2)*f)\/f*f*f*f)\/f**(-5)))\/((f**2*f*f\/(f*f*f*f**(3\/2)))\/((f*(f*f**(-4\/5))\/f*f)\/(f**(-1)\/f*f))) assuming f is positive.\nAnswer: f**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95097187?\nAnswer: 67, 71, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(18\/(-9)) + -727. Put -5, x, 4 in descending order.\nAnswer: 4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -945\/86 + 23449\/645. Let n = x - 51\/2. Let g = 0 + -0.5. Which is the third smallest value? (a) 1\/9 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 243.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let f(o) = -1089*o**2. Calculate f(k(w)).\nAnswer: -4356*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b + 2*b + b - 25*b + 9*b + 9*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Let c be (1 - 3)\/2 - -3. Let i be (36\/39 + -1)*c. What is the smallest value in i, 1, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -4.5. Let z = -2 - x. Let y = z - 4. What is the second smallest value in y, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8*-1)\/((-3)\/6). What is the highest common factor of 80 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -1 (b) -0.05 (c) -66 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44946339*a**4 + 16051*a**2 - 32*a + 56 wrt a.\nAnswer: 1078712136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + -14) - (5 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2 + w**3 - 2*w**2 + 2*w**4 + 2 - 2*w + 3*w**3 - 2*w**5 + 0*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 834.621ml?\nAnswer: 0.834621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**2 - 44*j + 39. Let c(r) = -3*r**2 + 22*r - 20. Let x(o) = 9*c(o) + 4*l(o). What are the prime factors of x(10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 plus -1825?\nAnswer: -1826.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 400, 537, 586, 517, 300, -95?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 996 - 990. Solve -13 = -m - 4*l - 8, m + 5*l - n = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3477 = -347*q + 1186 + 889 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-34)*8\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2\/(-14)*2). Let m(o) = o**2 + 6*o + 5. Let a be m(i). Suppose -a = -4*q + 8. Solve -q*s - 15 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(-2 + sqrt(5)) + 3 - sqrt(30)\/(sqrt(6)*2*2 + sqrt(6))*5.\nAnswer: -6*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g*z**2 + 17*g*z - 4*g + 31*z**2 - z wrt z?\nAnswer: 18*g + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.123 * -3\nAnswer: -0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78767 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(-4 - 76\/(-32))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5701*1387.\nAnswer: -790.7287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*a - 3*a. Let o(i) = -5*i**3 - i**2 + 15*i + 1. Calculate the remainder when o(-3) is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 6:38 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465844 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**6 + 7*y**2\/2 - 3. Find the second derivative of t(z) wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 16 - -92) + 36 + -3?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-70) + (-208)\/(-20) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, 2\/81 in decreasing order.\nAnswer: 2\/81, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 (base 5) in base 4?\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + 7\/((-63)\/36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f - 49*f + 26*f - 2977*f**2.\nAnswer: -2977*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232367479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 22 = 4*r + 11*t, -27 = -5*r - t. Let g be 40\/(6 + -5) - (r - 2). Calculate the greatest common divisor of 555 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.18 (b) 242 (c) 23\/78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4231415, 16925659, 38082737, 67702649, 105785395, 152330975, 207339389?\n\"Answer: 4231417*p**2 - 7*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/15*10\/(-2). Suppose 3*d - 12 = -3*y, 3*d + 0 - 10 = -y. Let o be (2 - (-46)\/(-30)) + 1\/5. Which is the closest to 0? (a) y (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -7, 42, 111, 200, 309?\n\"Answer: 10*b**2 - b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001738789 to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**2 - 8*x**2 + 8*x**2 + 5 with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6*i + 6. Find the second derivative of d**2 + 8*d + 92*d**i - 86*d**3 - d**2 wrt d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxkxxxkkxwkxxwwkxxw. What is prob of sequence wkxw?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.35 - 0.1. Let q = b + -0.25. Which is smaller: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -469309, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 292 + -294 + (-1 + 0 - 8) - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3213 (base 7) in base 16?\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:14 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.98939 + 0.01061. Which is the closest to -1\/4? (a) o (b) -3\/7 (c) -2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13496331 = m. Let h(z) = m + z**3 - z + 5201223 + 0*z**3. Let d be h(0). Round d to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose 5*a = -2*j - 76, -2*a + o*a = 2*j + 88. Let d = j + 128\/3. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/12 and (-10)\/(-225)*(33 + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173312 by 5416.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/661220 and -137\/198366?\nAnswer: 1983660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - y**4 + 7*y**4)*(-1 + 1 + 2) - y + 3*y**4 + y.\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9939*s = 2998*s - 1175774 + 273444 for s.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - 2201100210?\nAnswer: -2201022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b + 1. Let q be s(-2). Let a be 4 + -4 + 213 + q. Let f = 83 + a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2016)\/616)\/12*15\/9.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1338782477*h**5 + 423877233*h**2 wrt h.\nAnswer: -80326948620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416136 and 36084936?\nAnswer: 252594552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwww when four letters picked without replacement from gwwwwwwnwgwwin?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + (-3 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:32 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/7 + 6*f**3 + 193*f**2\/7 + 300*f\/7 + 148\/7.\nAnswer: (f + 1)*(f + 2)**2*(f + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2538 and 76\/3112011.\nAnswer: 18672066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 49507?\nAnswer: -49511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79850*o*v - 2*o - 880 wrt v?\nAnswer: 79850*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 242 = -x - 0*x, 185 = -3*i + x. Let o = i + 109. What is the common denominator of o\/(-14) - 2\/(-2) and -25\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406*0.1.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60960 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Let u be 39\/(-104)*40\/(-6). What is v in u*v**2 + 2 - 4*v - 1\/2*v**w = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -78\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12177 and 21552183?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let o(h) = 3*h. Let x(n) = 10*n + 1. Let f(c) = -3*o(c) + x(c). Let i(u) = 6*u**2 + 4*u + 4. Let v(r) = -4*f(r) + i(r). Calculate v(p(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5885297nm?\nAnswer: 0.0005885297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -58. Which is bigger: b or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 + 84*c**4 - 272*c**3 - 2112*c**2 + 2304*c = 0 for c.\nAnswer: -4, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -1974\nAnswer: -13818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52358863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = s + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 7 + 19 + 16*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 997 divided by 7474?\nAnswer: 997\/7474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - 0.27. Which is greater: -0.3 or z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.60339t to grams.\nAnswer: 22603390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/5)*m)\/((m*m**(-1\/6)*m)\/m*m*m))**(-48)\/(m**1\/m**(-2\/15)*m**(3\/7)\/(m*m\/((((m\/(m\/m**(-3))*m)\/m)\/m)\/m)*m)) assuming m is positive.\nAnswer: m**(5884\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 215698.9 millennia in years?\nAnswer: 215698900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -783, -2802, -6017, -10392, -15891?\n\"Answer: 6*b**3 - 634*b**2 - 159*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160698*p**3*u + 16035*p**2 + 8*p*u wrt p?\nAnswer: 964188*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-10) - 19\/(-38))*6. Factor 1\/5*z**2 + y*z + 36\/5.\nAnswer: (z + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*c*o - 19*c - o**2 + 2*o + 1 wrt o?\nAnswer: -6*c - 2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2672 + 4139. Calculate the highest common divisor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 10*p + 12. Calculate the remainder when 2 is divided by m(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -831.63 * 1\nAnswer: -831.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 + 4816982*v**2\/11 - 9633970*v\/11 + 4816986\/11.\nAnswer: 2*(v - 1)**2*(v + 2408493)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let d be (-8)\/36 - (-45440)\/36. Let j = -1259 + d. Solve -c = -o*c - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*m = -186*m + 5*k - 47803, -95573 = -4*m + k. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 2*c**2 + 6*c**2. Let d(u) be the third derivative of -u**5\/12 - 11*u**2. Calculate r(d(i)).\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304.4 + 304.39122. Round w to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025224071 to 5 dps.\nAnswer: 0.02522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151079 is divided by 21576.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 88 - 375 = 0. Let g = m - -40. Which is smaller: -1\/47 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(70)\/(sqrt(40)\/sqrt(4) + sqrt(10))))**2*-2 - (-5 + sqrt(833) + sqrt(51)\/(sqrt(12)\/sqrt(4)) + sqrt(17)).\nAnswer: -131 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 12*t - 200. Let n(p) = -56*p - 81. What is the remainder when n(-5) is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 13469 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -7. Let f = -17 - -10. Let r = f - o. Solve -r*h = -4*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:44 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)*f\/(f*f*f**(-1\/9)\/f))**(-19)*(f**12*(f**(-6)\/f*f)\/f)**(-2\/149) assuming f is positive.\nAnswer: f**(10874\/6705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqlq when four letters picked without replacement from {n: 5, l: 4, q: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -55, -100, -165, -256?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.026434cm in millimeters?\nAnswer: 10.26434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.4, 0.1, 1853 in increasing order.\nAnswer: 0.1, 4.4, 1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 630\/(14 - -7) - (-5 - 0). Let y(i) = -i**3 + 35*i**2 + 3*i - 100. What is y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 6)*(1 - 1). Suppose -3*v + 4*v = j. Factor 6*g**3 + 2 - 2*g**3 - 4*g**4 + 2*g**4 - 4*g + v*g.\nAnswer: -2*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7071, -7053, -7037, -7023?\nAnswer: -7011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:37 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3540*v - 1772*v - 1775*v. Let h(k) = k**2 - 13. Determine s(h(x)).\nAnswer: -7*x**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -3, 38 in increasing order.\nAnswer: -11, -3, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/18 - d**3\/6 + d**2\/3 - 3*d - 3. Let w(a) be the first derivative of c(a). Suppose w(u) = 0. What is u?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-24)\/(-9)*-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 257974281 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24985 (base 14) to base 5\nAnswer: -10332224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -5\/2, -4\/3, 2.\nAnswer: -5\/2, -4\/3, -4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 93\/2*(-11 - -21). Suppose -l = -511*u + 506*u. What is the highest common factor of 248 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g**3 - 6*g**3 - g**3)*(2 + 3 - 4)*(247 + 144*g - 247) to the form a*g**4 + y*g + w*g**3 + n + l*g**2 and give a.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**2 + 2. Let r be g(-1). Solve o = 3*o + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(245) + (sqrt(245) - (-3 + sqrt(245))) - (sqrt(315)\/(sqrt(14)\/sqrt(2)))\/sqrt(9)))**2 + -1.\nAnswer: 288*sqrt(5) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d - 17. Determine r(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/9*(2 - -7) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*q + 9005617 = 62113172. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 104 + 66 = 2*p, -n + 82 = p. Let f = 157\/2 - p. Let d = -7 - -3. What is the smallest value in d, 1, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 1. Let o = -43 - q. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 = 29*r + 3*w, w + 23 = -4*r + 95 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -2\/7, 0.2, -100?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/12509, -1\/7, 71?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 2.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263 + -299. Let k = 1.3 + -35.3. Let q = k - w. What is the closest to -1 in q, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-62)\/(-90))\/((-65)\/143). Let i = a + -1\/25. What is the common denominator of i and 37\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2649044161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 + 8378*p\/11.\nAnswer: -2*p*(p - 4189)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667046651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 24. Determine o(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 2*z - 2. Let d be 4 - (3 + (-146)\/2). Let i = d - 65. Suppose 6*a + i = -3. Determine l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-1))*30\/(-1620)*18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9175 litres to millilitres.\nAnswer: 917.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -1059, -3560, -8435, -16476, -28475, -45224, -67515?\nAnswer: -96140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 6*y**4\/11 + 98031880*y**3\/11 + 400427095024556*y**2\/11 + 266951320436024*y\/11 - 133475676556658\/11 = 0?\nAnswer: -8169323, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*i. Suppose i*c = -57 + 132. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 26*f - 10. Let x(h) = 2*h**2 - 27*h - 10. Let n(w) = 4*c(w) - 3*x(w). What are the prime factors of n(17)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1557843 and 8?\nAnswer: 12462744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.36 + 8.\nAnswer: 51.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 - 3*n**5\/10 - 31*n**4\/4 + 438*n**2. Find the second derivative of o(z) wrt z.\nAnswer: 6*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -644 - -658. Let a = 401 + -247. What is the greatest common divisor of a and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*p**5 - 207286*p**4 + 1116144*p**3 + 907888*p**2 - 447584*p - 32352 = 0.\nAnswer: -674, -1, -2\/31, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3457 + -1718. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2680 and 7\/403608.\nAnswer: 2018040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (6 - (47 + (8 - -12))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -4*a + 3*d - 654, 0 = 4*d + 8. List the prime factors of a\/(-25) - 1\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 97*v - 376. Give s(0).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.095 + 0.205. What is the second smallest value in 7, y, -0.03, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 227. Let v(c) = c - 23. Calculate v(s(x)).\nAnswer: -2*x - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*p + c = 323*p, 5*c = -2*p + 12. What is the nearest to -5 in p, -0.8, -2\/3, -2\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*x + 3314, -79*x + 76*x - 4*r + 4971 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.16 and -0.055.\nAnswer: 4.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 374658055379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 70, 101, 114, 103, 62, -15?\n\"Answer: -s**3 + 50*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229.3 - -143. Let z = -86 - k. Let q be 2\/7 - (-2)\/(-7). Which is the nearest to q? (a) -3 (b) 3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 289883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 6:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: e4611 (base 16) to base 4\nAnswer: 3210120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l - 13. Suppose -4*p = -3*g - 14, -5*g - 80 + 78 = 4*p. Let q(n) = -5*n + 3. Calculate p*c(a) + 9*q(a).\nAnswer: -5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z. Let u be 3 + 2\/(-3)*(-504)\/(-48). Let l(b) = 7*b + b - 2*b - b. What is u*n(t) - 3*l(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4884)\/(-22)*(-1 + (-63)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037 + 13944033?\nAnswer: 13945070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:59 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(1\/3)*(n**(1\/3)\/n)**(-28)*(n\/(n*n**(-1\/7)))\/(n\/((n**(-4\/9)*n)\/n))*(n*(n\/(n\/n**(-1)))\/n)\/n**(-5) assuming n is positive.\nAnswer: n**(5405\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 - r - 1. Let t(k) = 4*k**3 + 4*k**2 + 4*k - 3. Let b(q) = -5*l(q) - t(q). Let z be 1 + 0 + -1 + 0. What is the units digit of b(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 62. Calculate the smallest common multiple of 92 and l(-11).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208006837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001311732264 to 5 decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*m = -170, 139 = 3*q + 16*m - 21*m. Calculate the remainder when q is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 14 - 3*v + 9 + 2*v. Calculate the remainder when 10 is divided by i(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 100.9 in -1\/3, -5, 4, -15\/112, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2044 (base 12) to base 11\nAnswer: 26aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7787459.\nAnswer: 1381, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 106, 90, 68, 40, 6?\n\"Answer: -3*z**2 - 7*z + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n**2 - 2. Let r(v) = 68*v**2 - 23*v**2 - 18*v**2 - 24*v**2. Determine r(t(b)).\nAnswer: 507*b**4 + 156*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -1\/3*w**3 - 33\/2*w**2 + 18*w + 0. Calculate the remainder when p(-21) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-24) + 1\/4. Let s = -14.07 - -14. Let v = s + -0.03. What is the second biggest value in b, 3, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s**2 + 71*s + 97. Let z(f) = -4*f**2 + 24*f + 33. Let d(i) = 3*h(i) - 8*z(i). Let q be d(12). What is the highest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3706050 minus 0.02?\nAnswer: -3706050.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41850\/10289 or -3?\nAnswer: -41850\/10289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*d + 6, 3*d - p - 17 + 5 = 0. Suppose -2*i - w = 3, 17 = -17*i + 19*i - d*w. Let b(v) = -18*v - 12. Let j(g) = -g - 1. What is i*b(m) - 12*j(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m. Let v(p) be the second derivative of p**7\/2520 - 5*p**4\/12 + 4*p. Let f(a) be the third derivative of v(a). Give f(q(x)).\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 + 2396*q**4 - 14508*q**3 + 7300*q**2 + 24200*q = 0. Calculate q.\nAnswer: -605, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 40. Suppose -z = 3*y - 19. Sort 12, y, 0 in ascending order.\nAnswer: 0, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4935, -10298, -15661?\nAnswer: -21024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3. Let r be y(1). Let f(a) = -a**r - 9*a**2 + a**2 + 0*a**2. Let m(l) = -l - 4*l + 6*l. Determine f(m(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**3 - 413048*o**2 - 826102*o - 413052 = 0.\nAnswer: -1, 206526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1761 + 1736. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2 = -4*q. Let u = -3 - q. Let x = u + 4. Solve x = -y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(-1)*0. Suppose 0 = k - 4*k - 42. Let q = 13 + k. Put 1, q, c in ascending order.\nAnswer: q, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885243.\nAnswer: 3, 295081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -w - 139, 111 = 52*u - 49*u - 3*w. Let b(q) = -q**2 - 6*q - 5. Let c be b(-5). Suppose u = -c*p + 2*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewpvpwpwpgooppwoggoo. Give prob of sequence veg.\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3153*q = 174*q - 109791 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 14 - 46. Let c(x) = -10*x - 4. Let o(a) = -3*a - 1. Let y(w) = p*o(w) + 5*c(w). Suppose -3*h - 2*h - 3*l - 31 = 0, 2*h - l = -8. Give y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 7*i + 66*i. Let z = 26 - 17. Solve i*x - z = 4*o, 4*x - x = 5*o - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*p + 22*p + 1, y - 3*p - 12525 = 0. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 + 6*l + 11. Let m(p) = -p**2 - 2. Calculate -h(n) - 5*m(n).\nAnswer: n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*o + 6, 4 = -3*h + 1. Suppose -o*z = -6*z + 216. Let l = z - 24. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooroyoyooooororroor. What is prob of picking 1 r, 2 o, and 1 y?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b)*(-1 + 0 - 1)*(-1 + 2 + 1)*(39 + 15 - 32).\nAnswer: 88*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -10 - -10) + (-7 - 0) - -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3920 and 383051448?\nAnswer: 383055368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 77. Let s be (25\/15)\/((-1)\/m). What is the tens digit of (2\/10 - (-1772)\/s)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6423247147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -976*f**3*k**2 - 55*f*k**2 + 4*f wrt f.\nAnswer: -5856*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2583381 = -5*o - 1466619. Round o to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*k - 766 - 680 = -513 + 319 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 10. Let w be h(-8). Let b be (36\/15)\/(w\/(-25)). Let u = -20 + b. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3116 - 3115.766. Round h to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 972, -2, 0, 5, 1, 3 in increasing order.\nAnswer: -2, 0, 1, 3, 5, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3661, -3668, -3679, -3694, -3713, -3736?\n\"Answer: -2*r**2 - r - 3658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 + (-65)\/(-30))*15)\/1\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101101000 (base 2) in base 10?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*((sqrt(833) + -1)**2 + sqrt(833)).\nAnswer: -1668 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -14, -1.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*g - 4194 = -1971 + 2059 + 1538 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.004299, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -5\/12*g**4 - 6*g**2 + 1\/70*g**7 + 0*g**3 + 0*g**5 + 0*g + 0*g**6 + 0. Find the second derivative of v(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*f = -32, -439*l - 5*f = -444*l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1610, 3330, 5050, 6770, 8490, 10210?\n\"Answer: 1720*x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (128\/(-320))\/((-1)\/(-10)). Let t(m) = m**2 - 12*m - 3. Let v(x) = -2*x. Let u(g) = n*v(g) + t(g). Determine u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 19. Let o be r(-12). Let n(k) = k**3 - 4*k**2 - 3*k + 1. Let m be n(5). Let u = m + o. Sort -2, u, 1 in increasing order.\nAnswer: -2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92*(-70)\/40*(-214)\/(-1498)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20 - 19)*-2*1. Let u be 7\/(-2) - (-4)\/(-8). Let b = 2 + u. Is x greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 957194044 by -478.\nAnswer: -2002498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 29*f**2 - 379*f + 1174. Give s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*a - 111*a + 205 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2502762857 to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 97 = 441. What is the remainder when 156 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1951*t - 193239. Determine p(99).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17479, -6, -1, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(3072) + 0 + sqrt(3072) + sqrt(48)) + -1 - (-5 + (sqrt(192) - -2*sqrt(192)*6) + sqrt(192)))**2 + -5.\nAnswer: -8320*sqrt(3) + 1622427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/12 and 89\/11205392?\nAnswer: 33616176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -5*y - 0*y. Let v = y + -55. What is the remainder when 24 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 6 - 0 - ((-7 - -18) + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - m - 3*m + (5*m - 1 + 1)*(3 - 3 - 2) + 0*m - 2*m + m + (1 - 1 - 1 + (-1 + 6 - 3)*(-4 + 4 - 2))*(16*m + 17*m - 28*m).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-10) - (64\/(-20))\/8. Suppose 2*t - 175 = -14*b + 13*b, 3*b - 521 = -d*t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*p - 8 = 0, 3*w - 2 + 9 = 2*p. Put -3, w, 1 in decreasing order.\nAnswer: 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 - 2952*g\/7 - 54108\/7.\nAnswer: 3*(g - 1002)*(g + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 22 = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7923319 to the power of 1\/2, to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -46316938.\nAnswer: 1\/46316938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**4 + 23*m**3 + 19*m**2 - 23*m. Let a(k) = -38*k**4 - 116*k**3 - 96*k**2 + 116*k + 8. Let r(p) = -3*a(p) - 14*x(p). Factor r(g).\nAnswer: 2*(g - 1)*(g + 1)**2*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/9, -0.02, 4 in descending order.\nAnswer: 4, 0.2, -0.02, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9395, -18759, -28123, -37487, -46851, -56215?\n\"Answer: -9364*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 13. Let i be n(9). Suppose -5 = 2*a - 1, 0 = i*s + 5*a - 25. Let l(v) = 2*v**2 - 7. Let x(c) = c**2 - 4. What is s*x(d) - 4*l(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 - 8*y + 2. Let x be b(-8). Suppose 0*p - 202 = -x*p. What are the prime factors of p?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 10:42 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 4*n**2 + 4*n**2 - 8*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -61*l + 878. Calculate the least common multiple of (-26 - -8)\/(((-30)\/(-4))\/(-5)) and r(14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2244424223 (base 5) to base 6.\nAnswer: 300451433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/5))**(-37\/5)\/(s**2)**(7\/6))**(3\/4))**(-12\/7) assuming s is positive.\nAnswer: s**(192\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u - 7. Let h(n) = -15*n - 15. Determine 6*h(p) - 13*m(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*l - 10*p - 9, l + 5 = -6*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - (11 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - 7.81. Let q = s + 7.999987. What is q rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -3, 2486, -5 in descending order.\nAnswer: 2486, -3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32745024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*k + 68370 = 722*k for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277954223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 25*p**2 - 77*p + 20. Let y be a(15). Put -5, y, 0 in ascending order.\nAnswer: y, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -862412, -1725220, -2588028, -3450836?\nAnswer: -4313644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*s = 195*s - 377*s + 31560 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 309*(-1 + -4)*(-4)\/(-20). Let r = l - -304. Let t = -0.7 + -0.3. What is the closest to t in -0.19, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 - 1. Suppose -3*q = -m - 3, -7*q + 3*q + 4 = 2*m. Let i be b(q). Suppose -2*f + i = -2. Solve -15 = -2*d - f*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 + -47.72. Let x = j - -48.62. Let s = 0.5812 - x. What is s rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011000110001110000 + -11101?\nAnswer: 10010011000110001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1490 + -9037\/6. Find the common denominator of w and 19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/7 and -73\/940?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247085 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 90973 = -5*q, -4*q + 65688 = 3*d - 7090. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941760175 to the power of 1\/3, to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*1*1*-4.\nAnswer: -44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*s - 8*s - 719 = 711 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909949*c + 35 - 33 + 909950*c.\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -8. Which is the second biggest value? (a) t (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 154*q**2 - 3*q - 3. Suppose 4*l + 3*a - 11 = 0, -4 = -l + 5*a - 30. What is the remainder when j(l) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1377278 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74.433 - 0.433. Which is the closest to 0.1? (a) -4 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 48*i + 57. Let h(x) = -x**2 - 12*x - 14. Suppose 2*l - 10*l = -24. Suppose 7 + 20 = -l*q. Let p(b) = q*h(b) - 2*o(b). Factor p(m).\nAnswer: 3*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.6, -4, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01633373 rounded to 4 dps?\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 6:01 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.3 - 27. Let o = 0.0012 - -19.9988. Let b = m - o. What is the third smallest value in 1, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11205 + -5002. What are the prime factors of b?\nAnswer: 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*s = -27, -34169*s - 34156*s - 63 = -3*p - 68330*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/12 + (-46)\/(-12). Suppose 18 = 2*h - w. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0 + 1451?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 2)*(-t**3 + 2*t**3 + 0*t**3)*(17*t - 11*t - 5*t) to the form g*t**4 + z*t**3 + i + f*t**2 + k*t and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112076808 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223855*n**5 + 244060*n**2 wrt n?\nAnswer: -13431300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:56 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 14*l + 17. Let z be 11 + (1 - -2) + -3. Let i(r) = 0 - 8*r - 9 + 3 + 3*r. What is z*i(u) + 4*b(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 8:02 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49 - (0 - -5)) + 4 - -2) + (-126 - -126).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 7*v - 7*v + 16*v**2 to the form z*v**2 + s + f*v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23567.481 nanoseconds in minutes?\nAnswer: 0.00000039279135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -30. Suppose 3 = q - v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181521970.\nAnswer: 2, 5, 7, 61, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.9398 tonnes to milligrams.\nAnswer: 226939800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 3*j**2 + 0*j**3 + 0*j - 1\/24*j**4 + 0 - 1\/20*j**5. What is the second derivative of i(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 126*t + 291798 = 0. What are the prime factors of t?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 77 + 25. Suppose 0 = 29*z - f*z - 5. What is the third smallest value in 1, 0.04, -3\/4, z?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8127 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001092735577 rounded to seven dps?\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1135139426 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3, -2, -11\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 3)*3980\/(-25). Suppose -2*a = -968 - n. Suppose 3*w - a = q, -q - 587 = w - 3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 3}. Give prob of sequence bb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 106050440 + 0.204\nAnswer: 106050440.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 123*n**2 - 4*n + 124*n**2 + n - 246*n**2 + n - 16. What is s(-10)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) -2 (b) 25 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let j(b) = 5 + 246*b + 255*b - 473*b. Is 29 a factor of j(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167*a*y**3 - 37787*a*z**2 + 69*y**3*z**2 - z**2 - 1521 wrt a.\nAnswer: -167*y**3 - 37787*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555454374 divided by -6.\nAnswer: -92575729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*1*4)\/((sqrt(6) - -1*sqrt(6))*-2))\/(5*(sqrt(160)\/sqrt(4) - sqrt(10) - (1*sqrt(360) + sqrt(360) + sqrt(360)))*3).\nAnswer: sqrt(2)\/255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1640712 divided by -6\nAnswer: 273452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -49. Let d(r) = -r**3 + 3*r**2 - r + 2. Let u be d(s). Suppose 0 = -4*p + q + 1329, 5*p - 3*q - 346 = u*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.09 and -3580?\nAnswer: -11062.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k**2 + 2*k + 3. Let i(q) be the second derivative of -q**4\/3 + q**3\/6 + q**2 + 77*q. What is -5*i(g) + 3*l(g)?\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 6. Let m be -2*(-2 + (w - -3)). Suppose m*n = 2*n + 36. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from vucttdxxdxdxtd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 121*u - 12901 = 0. Let f = 2 + 47. Calculate the remainder when u is divided by f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3955441 by -33239.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 537*v**2 + 208*v**2 + 265*v**2 + 5 in the form l*v**2 + z + f*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 9*u + 9*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-19314)\/(-16) - 4) + 11\/(-88) - 6. What is the highest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9343589.5 to the nearest one thousand.\nAnswer: 9344000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26063273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/70 + 11*b**6\/40 + 6*b**5\/5 - b**4\/2 - 16*b**3 + 253*b**2. Determine x, given that z(x) = 0.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.8 - 11. Let a = 2.3 - k. Sort -5, 1\/2, 3, a in descending order.\nAnswer: 3, 1\/2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-22))\/(12\/(-15))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12104372 - 4?\nAnswer: 12104368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(3\/282))\/(4 + -3). Suppose 861 = 34*c - 27*c. Let p = c - w. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1111863 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.12894 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*s - 519*s = 39 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*w + n, -3*w + 0*w - 4*n + 17 = 0. Suppose 0 = w*d - 6*d + 57. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 122*j**2 + 12*j**3 + 7*j**3 + 4*j**3.\nAnswer: 30*j**3 + 122*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4236)\/(-3177))\/(4\/336*7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*t**4)*(19*t - t + 0*t).\nAnswer: -36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*j = 15288, 3*w + 4*j - 2043 = 20866. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a8 - -333?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11755 less than 3?\nAnswer: 3.11755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20222179?\nAnswer: 20222179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.7 + 40. Let q = 3.38 + -3.28. What is the fourth biggest value in w, 1, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108\/61 + -279\/1708. Let u(x) = 3*x**2 - 3*x + 9. Let d be u(-6). What is the common denominator of 0 + 1 + d\/84 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132260 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*x + 156198, x - 54920 + 2854 = 5*y. Is (-12)\/(-8)*x\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**3 + u - 3. Let f(q) = 35*q**3 - 4*q**2 - 6*q + 104. Give f(w) + 6*v(w).\nAnswer: -w**3 - 4*w**2 + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -33*a**5\/20 - a**4\/12 + 596*a**3\/3 - 1697*a. Find the third derivative of o(n) wrt n.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 26\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1512396 and 11610?\nAnswer: 22685940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1273 + -4.8727. What is the second smallest value in 3, -47, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 17\/(170\/40).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*-5*3*((-6*2*sqrt(35))\/(-3*sqrt(7)*3))**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 + 3*x**2)*(-6*x + x + x) + 0*x**3 + 4*x**3 + x**3 + 12*x**3 + 6*x**3 - 17*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*m + 148*m + 30622 - 30618.\nAnswer: 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165.666071 - -175.34567. Let v = -9.68 + f. Round v to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64821*d**2 - d - 306804?\nAnswer: 129642*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 2*c + c + (-2*c + 3*c - 4*c)*(-1 + 1 + 3) in the form w*c + z and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9 - -5.9. What is the closest to k in -0.3, 1, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108179\/17 - -6367. Let q = y - 69\/34. Find t such that q*t - 6 + 3\/4*t**2 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 38 = -2*z. Let j(a) = a**3 - 5*a + 9. Is j(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390443755?\nAnswer: 5, 13, 1559, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171180?\nAnswer: 2, 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 9:15 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12000 (base 3) to base 5\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*m**3 - 76 + 38 + 38.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -760.6934574 to 1 dp.\nAnswer: -760.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -i, -2*t - 14*i = -12*i - 6. Solve t*v = 3, 2*f + 4 + 4 = 2*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = -3*b. Let f(s) = -338*s**3 + s. Is f(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 6*y - 3. Let h be t(6). Let q = h - -21. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(25)\/((sqrt(5) + (sqrt(45) - sqrt(5)))*-6 - sqrt(5)) - (sqrt(25)\/sqrt(5) + 3 + (1 + sqrt(5))*-6))**2.\nAnswer: 1504*sqrt(5)\/19 + 67284\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-48)*((-16)\/(-3))\/4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 + 163. Let i = -59 + 110. Let s be ((-60)\/(-14))\/(i\/238). Solve -3*p + b - 4 = -0*b, -5*p = r*b + s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (213\/(-213))\/(1 - (-2743)\/(-2742))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 2*g**2 + 6*g + 9. Let c be d(-3). Calculate the greatest common divisor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -6. Let u = -303 + 300. Let a be (u - -4)*(x - -5). Solve 0 = -a*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 9 - (9 - (5 + 0) - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*p**2 - 7*m**2*p + 39*m*p**2 + 2*m*p wrt m.\nAnswer: -6*p**2 - 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1345\/13 - 95. Is 8 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137318 - 6*y - 137318.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -61*b**6\/6 + 472*b**3\/3 + 419. What is the third derivative of a(i) wrt i?\nAnswer: -3660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199 * 0.4.\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-2)\/3*(-17)\/(-34). Which is greater: 8 or v?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3728, -14842, -33386, -59360, -92764, -133598?\n\"Answer: -3715*m**2 + 31*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 + 594950*c**3 - 5354320*c**2 - 20227640*c - 14278368 = 0. Calculate c.\nAnswer: -2, -1, 12, 297466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -25*v**3 - 8347*v**2 + 1003*v + 329. Give h(-334).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 982947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109.5 - -110. Let u = -0.03 + 2.03. Let x = u - 2. Sort -1, n, x in descending order.\nAnswer: n, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49905 = 5*z - 2*q, 4*z - 39891 = -6*q + q. What is the greatest common factor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*c - 5*c - 5, 2*c - 20 = -4*l. Suppose -u = -2, -2*u = -d - l*u + 1853. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1239*r + 0 + 3\/4*r**2 = 0. Calculate r.\nAnswer: 0, 1652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvfv when four letters picked without replacement from vfffvffffvff.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122.96136 * -0.1.\nAnswer: -12.296136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4601848611 to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vymfkufku. Give prob of picking 1 v, 1 y, and 2 f.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92b833 (base 14) to base 11.\nAnswer: -2880322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 8*x - 3. Let q(t) = -4*t**2 + 24*t - 9. Let a(i) = -2*q(i) + 7*s(i). Suppose 0 = -171*v - 36*v - 42*v - 1992. Give a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/82130892 and -55\/38176.\nAnswer: 657047136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o. Let u = 0 - -2. Let h(a) = -2*a + 2*a**u + 2*a + 0*a. Calculate c(h(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 18*m + 11. Let h be l(3). What is r in 2\/3*r + 2\/3*r**3 + 0 - 4\/3*r**h = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*3)\/1)\/((-186)\/(-310))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5.1. Let y = h - 0.9. Let t = y - -0.80000021. Round t to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/45 + 3937\/155. Solve -35 = 15*y + r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24 and -1644088243?\nAnswer: 1644088219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 - -1.1225\nAnswer: 1.0905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) -0.4 (c) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 82477*l + 161789*l - 84685*l.\nAnswer: -5373*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751606?\nAnswer: 2, 67, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + 235 - u**3 + 3*u**3 + 26*u**3 - 926 - 2*u.\nAnswer: 22*u**3 - 2*u - 691","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1280\/12)\/5 + 284\/426. Let k(c) = c + 2. Let w(o) = -4*o - 7. Suppose 2*u - 5*s - 7 = 0, -s + 10 + 15 = 4*u. Give t*k(y) + u*w(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 0.06\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 + 4*v - 4*v)*(2*v - v - 3*v) - 3070*v**3 + 3654*v**2 - 3872*v**3 - 1 - 3652*v**2 as u + n*v**3 + h*v**2 + p*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1) + -1 - -5. Solve -c*o + 13 = -7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366 + -257. Let x = 155 - j. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 2*y + 4*y)*(56*y - 53*y + 91*y) + 30*y**2 + y**2 + 14*y**2.\nAnswer: -143*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 1440?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 132?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 67.043859 and -1.55.\nAnswer: 65.493859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 1. Let n be 19*((-3 - 0) + 2). Let p = 17 + n. List the prime factors of a(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11321 - -512?\nAnswer: -10405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 8*x - 7. Let r be w(7). Suppose -3*v - 5 + 1 = 5*h, 4*v - 5*h - 18 = r. Solve s - v*s = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143316.792 + 143319.29200052. Let c = -2.5 + d. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzi when three letters picked without replacement from kzghhhhi?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1480, -1293, -1106?\n\"Answer: 187*w - 1667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5502, 12147, 19944, 28893, 38994?\nAnswer: 50247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 76 = -3*z. Suppose -5*p - z = -124. What is the least common multiple of p and (9 + 330\/(-70))*7?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -128632, -128644, -128656?\n\"Answer: -12*q - 128620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvvtkykvyvhkvykhvh. What is prob of sequence vtv?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319143, -638285, -957429, -1276575, -1595723?\nAnswer: -1914873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v + 827 + 887 + 431*v**2 - 1311 + 80*v**2 wrt v?\nAnswer: 1022*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14708 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21 - 2 - 7 + 3*a + 0. Let p be w(12). Suppose -8*h = -2*h + p. What is the nearest to 1 in -0.5, h, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*q + 9636 = 2206*q + 29461 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-105) - 4654\/30. Let h = -64 - w. What are the prime factors of h?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 6*f + f)*(-3 + 3 - 6*f)*(-2 - 3 + 6) to x + l*f + y*f**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-15))\/((-2)\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-405)\/18)\/(3\/(-16)). What is the greatest common factor of q and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/17, 20.063, -4\/3, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6291 divided by -374?\nAnswer: 6291\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 5, f: 3, y: 1}. Give prob of sequence fh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39772*1.7397.\nAnswer: 69191.3484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616218 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:28 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1047589623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 0*u**2 + 0*u**2)*(7 + 3 + 2 - u).\nAnswer: 6*u**3 - 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.5652 + -1.5588. Let x = t + -18. What is x rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6450*s**2 + 152*s + 5. Is h(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x**3 + 12*x**2 + 3*x - 37. Let l(h) = 3*h**3 - 3*h**2 - h + 9. Let d(f) = -2*i(f) - 9*l(f). Let z be d(3). Solve a = 1 + z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 338392.2ug?\nAnswer: 338.3922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -155, -156, -157, -158, -159?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*k**3)*(1 - 1 + 2*k) - 170*k**3 - 2*k**4 + 170*k**3 - 10*k - 2*k**2 + 4*k**4 + 2*k**2 to g*k**3 + n + f*k + r*k**2 + o*k**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 322?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijby when four letters picked without replacement from {z: 1, b: 1, i: 1, y: 1, j: 1, c: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14463 and 41640584.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -3*u**2\/2 + 4*u - 1. Let p = -40 - 8. Let o be p\/(-4) + (0 - 3). Let z(b) = 7*b - 9. Determine o*f(t) + 4*z(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 1. Let b(q) = 4*q - 1. Let c(a) = b(a) - 2*l(a). Let j be (-12)\/3*22\/(-8). What is the tens digit of c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -63*w**2 + 10*w - 17. What is the hundreds digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4036 times -4?\nAnswer: 5.6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 480046 + 59954 = 0. What is h rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**4\/24 + x**3 + 4*x**2. What is the lowest common multiple of 10 and g(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (11 - 9)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 71, 129, 185?\n\"Answer: -j**2 + 63*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 88?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(1\/1))\/(-2). Solve j*h = 3*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + f**3 + 176 - f**3 - 147 in the form o + y*f + w*f**2 + z*f**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -13. Differentiate 6 - x + 5*x - y*x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 8. Let u(b) = 2*b - 6*b + b + 2*b + 4. Let j(q) = -3*h(q) + 5*u(q). Let s(i) = -2*i - 22. Let w be s(-9). Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2 - 26. Let y be (4\/18)\/(z\/9). Factor y*q + 0 - 1\/3*q**2.\nAnswer: -q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*n + 16. Factor 6*y**2 - 3*y**5 - 6 + 2*y**3 + 4*y**3 - y**n - 3*y - 2*y**4 + 3.\nAnswer: -3*(y - 1)**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 63, 149, 269, 423, 611, 833?\n\"Answer: 17*c**2 + c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -540.336313 to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40371031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5967*d**4 - 37*d**3 + 74*d + 13405. Let z(u) = 995*u**4 + 6*u**3 - 12*u - 2234. Let h(i) = -6*l(i) - 37*z(i). Differentiate h(j) with respect to j.\nAnswer: -4052*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -424515? (a) -21 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8935 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*u - 13*u + 16*u + (-1 + 4 - 1)*(4 - 4 + u) + u + 5*u - 5*u)*(-u + 0 + 0) to k + l*u**2 + d*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 2, -626.\nAnswer: -626, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32986.66 millennia in decades?\nAnswer: 3298666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 2 + 27206*r**2.\nAnswer: 27206*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37591900 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 60106 + 9794 = 880. Does 101 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 6*g**2 + 7*g + 7. Let i be j(-7). Suppose 3*n + 24 = i*n. Let a(q) = 4*q + 8. Does 16 divide a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 787553, 787527, 787501, 787475, 787449, 787423?\n\"Answer: -26*z + 787579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - -48. Suppose -3*n + u = -0. Let k be (-2)\/(-3) + 7\/(n\/20). Solve -2*l - 24 = -5*f, -5*f + k*l + 28 = -0*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 140*v**3 - 1356*v**2 + 1060*v + 8600.\nAnswer: 4*(v - 5)**2*(v + 2)*(v + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 2322*f**2 - 2*f**3 + 8676*f**2.\nAnswer: 2*f**3 + 6354*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31370267, 31370263, 31370257, 31370249, 31370239, 31370227?\nAnswer: 31370213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233037083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 25, 14, -303 in descending order.\nAnswer: 25, 14, 6, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/5, -3388, 3\/4, -5\/4, 1\/7, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 15. Suppose 0 = -l*f + 30. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + k - 2*k)*(-2968 - 2616 + 395 - 3034 - 631).\nAnswer: -26562*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1511165ml to litres.\nAnswer: 0.0001511165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 0 + sqrt(32) + 1)**2 + 3 - (sqrt(96)\/sqrt(6))\/((sqrt(36)\/sqrt(2))\/sqrt(9)).\nAnswer: 14*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 7*m - 7. Give n(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by (-2)\/13 - 12042\/(-702)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*y, -4*g + 0*y + 20 = -y. Solve 2*z = 4*u + 16, 3 = -u + 4*z + g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 98 = 46. Suppose -c = 4*c + 4*p - d, -5*c + 3*p + 17 = 0. Solve -3*l = -0*f + c*f - 24, -5 = -5*l + 5*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 67 = -2*n, -o + 2*n = 2*o - 53. Suppose -g = -2*g + 2. Suppose o = -g*k + 83. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1396*x**2 - 29*x + 27. What is b(1)?\nAnswer: -1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38953 + q - 38687 + 13*q to the form c + d*q and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19944558\/776 - 2\/((-8)\/(-3)).\nAnswer: 3, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20283 is divided by 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-123280)\/(-285200) - 2\/5\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127886 and 196.\nAnswer: 12532828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3294525 is divided by 2570?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122219*v**3 - 1253*v**2 - 9711366*v - 1 wrt v.\nAnswer: -733314*v - 2506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*c + 3 = 0, -v - 7*c - 35 = -2*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-12854293.\nAnswer: -385628790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000305 rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7431, -0.2, -0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 5*h - 3. Let g = -13052 - -13057. Give o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**6\/180 - s**4\/24 - s**3\/2 - s. Let h(r) be the second derivative of w(r). Differentiate h(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.4 - -12.7. Let r = o - -1.7. What is the closest to -2 in r, 2\/7, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -488*l + 77618. Let b be u(159). Let z = 7 - 4. Solve m = 5*y - 10, -5 = z*m + 2*y - b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 38 - 46. Suppose 0 = 4*b - 4*r - 96, v*b + 2*b = 3*r + 101. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383, -1408, -1431, -1452, -1471?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + -6*(2 + 6*sqrt(39)\/sqrt(3) + 1)).\nAnswer: 39 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sncge. Give prob of sequence sc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f + 5 - 5)*(49*f + 32*f - 82*f + 357) in the form r*f**2 + v*f + z and give v.\nAnswer: -2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13194, -52663, -118396, -210387, -328630, -473119, -643848?\n\"Answer: f**3 - 13138*f**2 - 62*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waakrrrzzkazrawrara. What is prob of picking 1 a and 1 r?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 - 86. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izfilfjs. Give prob of sequence ljfi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -5 - -2)*-1. Let o(w) = -w + 8*w**3 + 1 + 31*w**3 + 0*w - w**2. Does 19 divide o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61.1 + 69. Let p = r + -0.9. Let t = p - 5. Is 0.1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 11:52 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 56. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3043 and 51551105?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.0359.\nAnswer: 0.2154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3 - (0 + 0))) + -75 + -19 - -4\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043571 to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -73*f + 1104. What is g(36)?\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnnk when four letters picked without replacement from uukbxnnh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -2\/71 (b) -1 (c) -214\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d**2 - 3*d + 5. List the prime factors of t(3).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988*k - 11065 = -4802*k + 8005 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - -50. Let w = s + -101. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1 - 4*y - 5 + 2. Let n be w(-3). Suppose 0 = -q + n - 3. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {j: 1, p: 9, c: 1, b: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 + 4 + 36 + 75*x**3 - 42*x**2 + 3*x + 13*x - 91*x**3 = 0.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*i - 2*i**2 + 801*i + i**2.\nAnswer: -i**2 + 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywyywmwyjmwfm. What is prob of sequence ww?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57340300 rounded to the nearest 1000000?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*k - 10, 2 = -4*m + 5*k - 5. Let g be m\/(-3)*3\/2. Let h be 2 + (6\/2)\/(2 - 1). Put h, g, -5 in ascending order.\nAnswer: -5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n. Let i be a(7). Suppose 0 = -7*l - 0*l + i. Is 2457\/15 - l\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16512 and 4128?\nAnswer: 16512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**2*p - 24*g*p - 9*g + 2719*p wrt g?\nAnswer: 6*g*p - 24*p - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*a**2\/13 - 80198*a\/13 + 1337714\/13.\nAnswer: -2*(a + 5029)*(8*a - 133)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/2)*m)\/(m*m*m**(-2\/17)))**(-7\/10))**(2\/45) assuming m is positive.\nAnswer: m**(91\/7650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495888612.\nAnswer: 2, 3, 1289, 32059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7848 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 12 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 8850*x + 8854*x + 14 = 0, 0*x = -3*x - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863 = -5*u + 20*r - 18*r, -2*r - 163 = -u. Does u = 234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + (-111)\/(-9). Let s = i + 7. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -239?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkii when four letters picked without replacement from riiqiikx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 + 10 = 0. Suppose 2*c - 89 = -3*y, -2*y - 2*y + b*c = -130. Calculate the common denominator of 3\/2*97\/3 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:43 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2\/2 - 1686*a + 99120 = 0.\nAnswer: -1180, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -22. Solve -15 = -d*i, i + 5 = 2*n + 6*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 64 = 2*q, -98*q - 3*s - 125 = -102*q. Sort 0, -2, 5, q.\nAnswer: -2, 0, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 + 2 = 0. Let y be -3 + 1 + 2 + o. What is the second derivative of 0*u**2 + 2*u**4 + 0*u**y + 2*u + 0*u wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1707590 (base 11) to base 15.\nAnswer: 3c6d94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0 + 0)*((-2 + 7 - 1)*(-6*p + 3*p + p) + 2*p - 3*p + 2*p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 23, 32, 41?\n\"Answer: 9*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:50 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*c - 70*c - 24*c to a*c + o and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*j - 5, 2*d + 3*j + 2 = -10. Let x be ((-3)\/(-5))\/(((-42)\/10)\/d). Which is the closest to 0? (a) 0.1 (b) -9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c - 3. Let u(p) = -11*p + 61 + 56 - 124. Calculate -9*i(l) + 4*u(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1591 divided by -341\nAnswer: 1591\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -4\/5, 368, -2\/65, 30, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 8*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 3*a + a - a**3 - 2. Is p(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28513829 is divided by 6659.\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12607589*u**5 + 3*u**3 + u**2 + 132542324*u wrt u.\nAnswer: -252151780*u**3 + 18*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*c - 609*c = 18504 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k + 2*f + 20, -3*k = -2*f - 80. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z**3 + 7*z**2. Let u = -5 - 6. Let x(i) = 8*i**3 - 4*i**2. Let p(a) = u*x(a) - 6*g(a). Find the third derivative of p(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-6))\/((-30)\/90). Solve 0 = -4*u - a + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = -x, x - 2*x + 4*i = 9. Suppose -2*f - 7 = -x. Let v(j) = -6*j - 3. What are the prime factors of v(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 4, i: 1, a: 2, t: 2, s: 1}. What is prob of picking 3 f and 1 z?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 45 + 51 + 32 + 59 + 2*o.\nAnswer: 2*o + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {q: 4, o: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.503 - -0.083. Let k = f + 1.4199937. Round k to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let i be 1 - (5 + 8\/(-2)). Let x be f(i). Is -1\/11 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 14658028159.\nAnswer: -14658028156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-21\/8)*(x\/(x*(x**(-1\/4)*x)\/x))**(-45))\/(x**(2\/9)*x*x**(-1\/4)*((x*x**(-1))\/x*x)**19) assuming x is positive.\nAnswer: x**(-1069\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 8, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387.513 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1762 - -1760. Sort -10, 0, 3, l in decreasing order.\nAnswer: 3, 0, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 + 1291376*u + 2582768 = 0. Calculate u.\nAnswer: -2, 322846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/584 and -97\/12.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356 - -68. Let i = -84 - o. Suppose -3*w + 12 + i = 0. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 828.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - q + 7 = 3*k, -3*k = -q - 5. Suppose 0*j - 4*a + 15 = k*j, 2*j + 4 = 2*a. Is j != 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = -11. Let h(l) = -l**2 + 3*l + 8. Let w be h(g). Let z(v) = -v**3 - 11*v**2 - 12*v - 15. Let u be z(w). Solve -7 = -u*f + 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/21*(-558)\/(-496)*(-4)\/(-12).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 - 5741*a**4 + 2*a**3 - 691099*a**2?\nAnswer: 120*a**2 - 137784*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*t - 4950 = -294*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*j + j - 5*x, 2*j - 5*x + 15 = 0. Sort -1\/2, -2\/3, j.\nAnswer: -2\/3, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let i = 1 + 2. Suppose 0*t + i*t = 0. Let c(n) = t*n - n - n. Calculate c(w(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*p + 2, 5*h = h + 2*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 3*s + 38, 562406*s = -5*b + 562405*s + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/40 - j**5\/5 + 3*j**4\/8 + 17*j**2. Solve l(m) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 10*q - 8. What is i(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.4 - -20.6. What is the nearest to -3 in x, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 25 - 7 = 0. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -111. Let o = q - 95. Suppose 0*k + k = -2*z + 1, -4*z - 3*k = 1. What is the highest common factor of z and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 299*v**2 + v. What is the remainder when p(-1) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 8*w + 2. Let g be 5 + (-82)\/6 + 2\/(-6). Give d(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 744.87964 to 1 decimal place.\nAnswer: 744.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 558675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26*(3\/(-2) - -2). Let k = 0 - g. Let x(d) = -2*d + 6. Let y(n) = -4*n + 13. Give k*x(p) - 6*y(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxhxxxzxxzxhzxzxxh. Give prob of picking 2 h and 2 x.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0376466 < -262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387193 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:53 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5534 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6640 divided by 3.\nAnswer: -6640\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((-7 - -14) + -1)) + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021210 - 2201?\nAnswer: 2012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21489, -42971, -64453, -85935?\n\"Answer: -21482*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 28. Suppose 139 = 3*r - 5*u, 0 = -5*u + 308 - 333. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*b + 14*b**2 + 1 + 68*b - 1.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40725902660 rounded to the nearest one million?\nAnswer: -40726000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 953608*u*x**3 + 52479*u*x**2 - 5*x**2 wrt x.\nAnswer: 5721648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*s - 9 = 0, 0 = 3*c + 20*s - 19*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821102 is divided by 671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose -3*b = 15, 0 = 3*d - 0*d - f*b - 76. What is the lowest common multiple of d and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00358632 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let t(c) = -c**2 - 3*c + 4. Let k be t(-5). What is the units digit of k - -8 - w*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441885 is divided by 1179.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2 - 76967106*i + 493661283834603 = 0.\nAnswer: 12827851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1183.\nAnswer: 3\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/7910 and -25\/1582.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 59530*u**2 - 2*u - 59530 = 0. Calculate u.\nAnswer: -29765, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 814265460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*i*l*x - 3350*d**2*i*l - 86*d**2*x + 2*d*i*l*x - d*i*x + 3*d*l*x + 5*i*l*x + 3137*l wrt d?\nAnswer: -4*i*l*x - 6700*i*l - 172*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3.44, 1.3, -11, -22.\nAnswer: -22, -11, -6, 1.3, 3.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 17, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64770\/45*8\/(64\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*p**4 + 1\/7*p**5 + 0 + 0*p + 5\/7*p**3 - 2\/7*p**2 = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5104936.1 to the nearest one hundred thousand.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1337150*x**2 + 1349307*x wrt x.\nAnswer: 2674300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4140453?\nAnswer: 3, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316385549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2187721 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15834159 and 13530?\nAnswer: 158341590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 485, 1025, 1793, 2795?\nAnswer: 4037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 3*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millennium in decades?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i. Let q(t) be the second derivative of -t**2\/2 - 7*t. Give m(a) + q(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -6\/5.\nAnswer: -6\/5, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 487605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -11739522\nAnswer: 35\/11739522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/5*1*500\/150\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 10. Let t(f) = -f - 2. Let n(x) = 11*t(x) + 2*u(x). Let c be n(7). Does 16 divide (36\/15)\/(c\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d. Suppose -3 = -l + 4*z, -2*l - 3*z - 16 + d = 0. Is 10 a factor of (1*-2)\/(1\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 147.85?\nAnswer: 151.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3.3. Sort -0.2, z, 3 in decreasing order.\nAnswer: 3, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a + 2*a)*(-2*a**3 + 3*a**3 + a**3)*(-3*a - 2*a + 4*a).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 - 6*d + 3. What is the remainder when w(4) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.01 (c) -0.05 (d) 364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*o - 30*o - 17*o)*(4*o + 1 - 1).\nAnswer: -316*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -0.06, -2\/7, 5, 6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 4*n**2 - 7*n + 5. Let m be d(5). Let w be 3\/(6*11\/(-22)). Sort m, 0.1, -4, w in increasing order.\nAnswer: m, -4, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/20429745 and 19\/250?\nAnswer: 1021487250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*p + 25, p - 4*q = -7 - 8. Solve 0*x + x + p = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 1. What is p(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 7*p - 9. Let b be t(-3). Suppose b*i = 18*i + 198. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0 - -14)*1. Suppose 78*p - 9 = 75*p. Suppose 42 = 4*s + s + 4*z, p*s - z = 15. What is the highest common divisor of s and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -47 + -4 + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2596458856?\nAnswer: 2, 29, 113, 99041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3220 and 59\/252.\nAnswer: 28980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 40. Let p(f) = -3*f - 1. Give p(o(g)).\nAnswer: 6*g + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1004*l**3 - 615*l**2 - 19755981 with respect to l.\nAnswer: -3012*l**2 - 1230*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 7. Suppose -18*j - 511 = 191. Let b be j\/130 - (-106)\/20. Calculate v(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = 4. Suppose -b = -z + 11. Suppose 5*p + 48 = 4*j, 2*j = 4*p + 18 + z. Solve 0 = -j*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 21792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -1125, 45 in increasing order.\nAnswer: -1125, -3, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.3, 5\/2, -1\/192, -0.008?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*i**2 - 40*i**2 - 5 - 3*i**2 to the form c*i + d + t*i**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45052456 and 7648.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(5 - 44\/12). Let l = 2 - 4. What is the nearest to u in l, 0.2, 2\/21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004015860738 rounded to four decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 0.22\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 421532 (base 8) to base 11\nAnswer: 96304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301594, 301610, 301628, 301648, 301670, 301694, 301720?\nAnswer: 301748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1955856 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*p**4*w + 3*p**3*w**2 - 45*p*w - w**2 - 1 wrt p.\nAnswer: 192*p**2*w + 18*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-8))\/((-4)\/(-60)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*w**4 - 3987*w**3 + 33402*w**2 - 62109*w + 21546 = 0. What is w?\nAnswer: 9\/20, 2, 7, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 7:33 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 7*s**2 + 25*s - 20. Let d(l) = 2*l**2 + 3*l - 6. Calculate the remainder when d(5) is divided by m(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:53 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Let c = o - 6. Let j be 8\/12 - 13\/c. Solve -j*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-38))**29\/(q\/q**(-13\/5))**(1\/31) assuming q is positive.\nAnswer: q**(-170828\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22858492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2304430 (base 5) to base 6.\nAnswer: -514532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -588*w**2 + 585*w**2 - 20 + 20. Let y(k) = -97*k + 8. Calculate y(b(q)).\nAnswer: 291*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9822.39 + -9876. Let f = a - -51.1. What is f rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-36)\/(-96)*8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2606540708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215 equal to 4216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose -6 = -p*s - 3*x, -2*x - 15 = -5*s + 2*x. Let m be (-4)\/(-10) + 116\/10. What is the highest common divisor of m and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -645 - l**2 - 738*l + 82 + 3*l**2 + l**2 - 178.\nAnswer: 3*(l - 247)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200673 (base 8) to base 10\nAnswer: -65979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -589, 7.4 in decreasing order.\nAnswer: 7.4, 3, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 2*l)*((-3*l - 3*l + 4*l)*(-l**3 + 2*l**3 + 0*l**3) + l**4 + l**4 - 4*l**4 + 0*l + l**4 + 0*l - 2*l**2 - l**4 + 2*l**2).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.074 or -241.4206?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 16 = -z + 54, 789 - 1922 = 341*w - 2*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 7*u**2 - 7*u - 10. Let b be w(8). What is the smallest common multiple of 4 and b*((-7)\/(-2) + (12 - 16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 7*q + 3. Let c(w) = w**3 - 6*w**2 - w - 5. Let b be c(6). Let j = b + 10. Let n be -3*j\/3*3. Calculate s(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2796272 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 6. Let a be l(-9). Solve a*p - 12 = -0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 75.\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/5859 and 109\/29295.\nAnswer: 29295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -248 + x - 257 + 734 - 256. Determine r(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s + 8. What is d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 37 = 4*x. Let f(l) = -l**3 + 3*l**2 - 4*l + 5. Let g be f(x). What is the units digit of g\/(-2)*138*(-8)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1132021?\nAnswer: -1132021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78992*r**5 - 115042*r**2?\nAnswer: -4739520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 698, 2, 2\/29, -0.2 in descending order.\nAnswer: 698, 2, 2\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -215 in 1\/6, 161, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 382138027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - ((-20247320668066)\/(-33005) - 0). Let c = i + 613462228. Let x = c - 14\/205. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*l**2 + 3 + 487*l**2 - 1518*l**2 + 494*l**2.\nAnswer: -10*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3.11?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(360)\/sqrt(8).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1179 and 353079.\nAnswer: 46253349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -4\/5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 146.7, 3 in decreasing order.\nAnswer: 146.7, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(7*j - 4*j - 18*j) + (37 + 24 + 101)*(-j + 0*j - j).\nAnswer: -354*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32)\/8 - -2 - 3) + 8710 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345323 take away 1614.5835?\nAnswer: -346937.5835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynyznnzznnyy. What is prob of sequence zy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-2\/23)*s)))\/(s**(2\/5)\/s))**(-2\/7)*((s*s**(-2))**(-2\/137))**(-48) assuming s is positive.\nAnswer: s**(-124956\/110285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6)*-1*(0 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18cdb + -2?\nAnswer: 18cd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -5, -3407?\nAnswer: -3407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 4668 = 0. Let t(a) = 8*a + 134. Let o be t(-17). What is the hundreds digit of i\/14 - o\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 + f**2)*(3*f**3 - f**3 - 3*f**3 + (f**2 + 2 - 2)*(2*f + f - 4*f))*(1 - 1 + 1).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:57 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9239472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 22*a**2 + 20*a - 45. Let t be z(-23). Suppose 0 = t*j + 94 - 262. Solve -16 = 3*l - j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15154*j - g + 29 = -15151*j, -4*g = j - 28 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpnspx. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0864 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhh when three letters picked without replacement from yyfbhhbhhxhhbyxbb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 163 + 367 = 0. Calculate the remainder when f is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6604335?\nAnswer: 3, 5, 23, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-285)*-1*(-15)\/(-6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41616 and 3078.\nAnswer: 7116336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.6. Which is the fourth smallest value? (a) n (b) -0.5 (c) 0.4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 15*v**2 + 16*v + 59. Determine r(-13).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:57 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78599453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13594245?\nAnswer: 3, 5, 7, 129469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - 6*n**2 + 5*n + 7. Give f(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 151*v + 163*v**3 + 262*v**3 + 107*v + 21*v + 107*v wrt v.\nAnswer: 2550*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = 0, m = 2*r + 3*r - 23. Suppose -r*u = -5, 123 = 4*n - 6*u + u. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -21, -1, -3, 5, 24 in decreasing order.\nAnswer: 24, 19, 5, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13)*c*(c*c\/(c\/(c\/(c*c**6*c)))*c)\/c)**(-29) assuming c is positive.\nAnswer: c**(1943\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*g - 3180 = 0, -28*g = -4*c - 29*g + 2544. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(2508\/(-628) + 4). Let l = -785 - p. Solve -j - h = -l*h, -j - 9 = -2*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 7051.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -357, -4, -2, 1, 14, 6, 2 in ascending order.\nAnswer: -357, -4, -2, 1, 2, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1575 - -1574. Let i = -1 + 0.6. Which is the closest to 0.26? (a) h (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 12*d - 3*d)*(-18 + 19 - 11).\nAnswer: -110*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5706*w**2 + 4*w - 11421*w**2 + 5714*w**2 + 16. Calculate p(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c - 4 = 0, n + 3*c = 68. Let m(p) = 2*p + 2. Let q be m(-3). Let d = n + q. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1521 and 5\/3549.\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221165134?\nAnswer: 2, 401, 275767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 193131 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a**3 + 2*a**3)*(-6*a**2 + 3*a**2 + 2*a**2) - 494*a**5 + 853*a**5 + 747*a**5.\nAnswer: 1104*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 694172354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1122?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61240 from 0.261.\nAnswer: -61239.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 p, and 1 e when four letters picked without replacement from {a: 2, d: 1, p: 1, e: 1, r: 2, b: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 778 = 730 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnee when four letters picked without replacement from fbjneee.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 + 14*m + 4. Determine w(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3116, -6242, -9366, -12488, -15608, -18726?\nAnswer: -21842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m + 0 + 9\/2*m**3 + 1\/12*m**4 - 16*m**2. Let n be q(-9). Solve -25 = -n*w + 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 7:45 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -1\/73, 3\/2, 35, 1, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -322+4794\nAnswer: 4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(-80)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 23*r - 367. Let q be x(16). What is the nearest to 3 in q, -22, -5, -2\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19141448 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -171\/2 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 53*v - 106. Give j(-56).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3, -9*y = -5*y + 5*p + 37. Let w(d) = 6*d**2 - 2*d + 17. Let i be w(y). Let u(r) = -417 - 3*r + i. Let x(g) = g. Determine x(u(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 34*j**2 + 2*j - 58. Let a be b(34). Solve -5*o + a*o + 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*n**3 + 55*n + 9*n**3 + 45*n - 98*n - 7*n**2 to w + i*n**2 + m*n + f*n**3 and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136812614.\nAnswer: 2, 1171, 58417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p + 391. Let s(l) = -21*l**2. Give j(s(r)).\nAnswer: -147*r**2 + 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/22486345?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.2, 1, 11038, 5, -3, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-71 + 71 - 15*h + h + 2*h - 4*h + (2*h + h - h)*(0 - 3 + 4) + 3*h - 3*h + 2*h + 0*h + h + h) in the form m + r*h and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/7, 5.\nAnswer: -8, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. What is the nearest to n in 1, -4, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2604\/48)\/(-31)*300\/8750.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*3\/15*9\/((-126)\/119).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 77124126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230.439013 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8979541*k*v**2 - 8909853*k*v wrt v.\nAnswer: 17959082*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 332 + 292 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5591 divided by -5\nAnswer: -5591\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + (-474)\/456. Let d be 3*(-3)\/(-456)*-2. Let f = d - v. Which is the smallest value? (a) -1\/3 (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 26 = -q + w, 4*q - 5*w - 21 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810*c**3 + 406*c**3 + 408*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1, 2872, -0.2, -0.3, -0.1, -0.0446?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*h = t + 4298, t + h - 4304 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g + 16*g - 50*g + 9295 = 89*g for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 - 415*o - 2052. Give p(-5).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 0.1, -1\/41, 2\/53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 4*t + t + (-3*t + 0*t + 2*t)*(2 + 12 - 4).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + k = -8, 0*k + 2*k + 1 = -o. Let a(z) = -z**2 + 2*z**2 - 5*z**o + 23*z**3. Let m be a(1). What is the greatest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - k - 4*k + 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -452.\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**9\/4536 - t**8\/2520 + 19*t**3\/6 + 58*t**2. Let x(i) be the first derivative of r(i). Factor x(o).\nAnswer: -2*o**4*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74281286507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -3. Suppose -3*z - z + 8 = -2*t, v = 2*t + 4*z. What is the lowest common multiple of -2 - (52\/(-2) - -2) and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-27) + 46\/(-126). Let w be 1*24\/(-231) + 2\/(-11). Let l = 0.6 - 0.1. Which is the nearest to w? (a) 3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -705*k + 699*k - 2118. Is -353 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30326 is divided by 1686?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 divided by -20.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-4))\/(4\/(-32)). Suppose -414 = -h*n - 90. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 101000?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 96*v + 1 + 646*v - 1 to the form n*v + i and give n.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 23, -1\/2, -11\/2, 0.1 in ascending order.\nAnswer: -11\/2, -1, -1\/2, -0.2, 0.1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 11*j - 226. Solve 0 = 16*q + j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589508 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 3}. What is prob of sequence oo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2161938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118841783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 - r**4\/2 + 7*r**3\/3 - 15*r**2 - 2*r + 101. Is 3 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35cca (base 14) in base 15?\nAnswer: -28e68","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.219329 grams?\nAnswer: 2219329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3208466ml?\nAnswer: 0.0003208466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + 23. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s**3 + 10*s**2 + 7*s + 5. Let h(j) = -63*j**3 + 26*j**2 + 20*j + 14. Determine 3*h(g) - 8*x(g).\nAnswer: -21*g**3 - 2*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 312250 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**7\/105 + y**6\/30 + y**5\/30 + 19*y**2. Factor i(a).\nAnswer: 2*a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 159 = 3*m. Let i = m - 22. Suppose -12*z + 340 + 368 = i. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**2 + 11*m**2 - 4*m**2. Let w(d) = d**2 + 2*d - 2. Let a(t) = -4*t**2 - 12*t + 12. Let q(g) = -a(g) - 6*w(g). Give q(j(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-51) + 8 - (16 + -4)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2332 + -3006?\nAnswer: -5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 13 = -5*w, 10*w - 6*w - 6*z - 20 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 8) to base 14\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1724187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 905887133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/17)*h\/h**(2\/5)*(h*h**0)**(1\/24) assuming h is positive.\nAnswer: h**(1549\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64983384*z**3 + 8*z**2 + 31349*z + 11 wrt z?\nAnswer: -389900304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/136*20\/(-5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 12*b**2 - 2*b + 12. Let y be x(-12). Let g = y - 36. Solve g = -l + 1 - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3))\/l**(2\/3)*l**(2\/9)\/(l**(-3)*l))**4 assuming l is positive.\nAnswer: l**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10732 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 28 = 7*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/318 and 89\/30.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = w + 5*b, -2*w = -3*b + 2. Sort -4, w, -2 in increasing order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7003 - -22961. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1709551.931 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 - 19*r + 8. Let k be w(5). Let s be (-8)\/28 + 39\/k. Factor s*x**2 - 1\/3*x + 0.\nAnswer: x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (4 - (1 - -3)). Suppose 0 = 2*s - q*s. Solve 5*r + s = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0 + sqrt(147))**2 + 5.\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(270) - sqrt(30)) + sqrt(120) + -2*sqrt(120))\/(sqrt(384)*-1*2).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6002 + -2.6. Round b to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 5*p**4 - 2*p**4 + (-2 + p**2 + 2)*(-2 + p**2 + 2).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.8 and -0.14.\nAnswer: -1.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8*-11196598\nAnswer: 89572784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 5*w**4\/2 + w + 2. Let g(m) = 4*m. Give g(i(x)).\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(183\/6 + -2). Let s = -20 - g. Let v = 16 + -3. Calculate the remainder when s is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728578604 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.4 (c) -2676 (d) -0.1 (e) 16.6 (f) 0.2 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2390 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 13 - (118 + -222 + 92)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/3 - 34\/51. Suppose -1 - z = t. What is the tens digit of (t + 17)*10\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 1043, 1571, 2099, 2627, 3155?\nAnswer: 3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*z + 12, -4*z + 0*z - 20 = -l. Solve 0*v = -v - l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 27*b - 8 = 0, -22*b + 91 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a*a)\/a*a**(3\/5)*a**(-6)\/a*a**(5\/4) assuming a is positive.\nAnswer: a**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -132738*m**4 + 1879*m + 517454284 wrt m?\nAnswer: -530952*m**3 + 1879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8108.293 millilitres?\nAnswer: 8.108293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190200 rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (sqrt(180)*4 + 2*sqrt(5) + 5)**2)*1 + -3.\nAnswer: 260*sqrt(5) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {x: 6, f: 2, v: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 + z**2 - z + 6. Let x be s(1). Determine r so that 0 + 2\/3*r**3 - 2\/3*r + 0*r**x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 1076900\nAnswer: -2153800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80.5 + 49.6. Let u = x - -51.8. Let y = 20.90000091 - u. What is y rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 52*k. Suppose -3*q + 5*q - 2 = 0. Let c be -1 - (-1 + 0 - q). What is the tens digit of p(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7455*y**3 + 153*y + 4?\nAnswer: -44730*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 0, 74 = 2*a - 0*w + 4*w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/(231\/(-468)))\/((-1376)\/903 - 20\/(-12)). Let v = 43 - 31. Calculate the greatest common factor of v and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3795 + 31*u**2 + 3795. Let f(r) = r - 3. Let x(a) = -6*a + 15*a + 0*a - 7*a - 8. Let c(k) = 8*f(k) - 3*x(k). Calculate c(m(d)).\nAnswer: 62*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11227 - 11224. Which is smaller: r or 125?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78594 (base 12) to base 8\nAnswer: -470100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q + 832 = 38*q. Let x be q + -3 - (2 - 9). What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 32 = -57. Let l = m - 100. Is -107 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -0*n + 2*n - 26, 4*n - 40 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 1.9. Let t = -2.7 - 3.2. Let i = t - -6. Which is the third smallest value? (a) d (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/(-95)*(-1 - (-153)\/108). Let p = -599\/340 - -1\/85. Let v = -11 - -9. What is the closest to f in v, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-150)\/(-99)*(-8598)\/8. Let b = -1629 - l. What is the common denominator of b and (10\/4 - 0)\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49504*o**4 - 2*o**3 + 2*o**2 + 46112*o - 19.\nAnswer: -594048*o**2 - 12*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 - 5*y - 64681.\nAnswer: -3*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5487 - 5485. Sort 7, -4, d, 5.\nAnswer: -4, d, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let h be (-1)\/4 - (-453)\/(-12). Let u = h - -35. Give s(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -54. Let m be (-10)\/6*2\/(-5). Which is the closest to m? (a) y (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/30494394 and 31\/22.\nAnswer: 335438334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2)\/(7\/(-7)). Suppose -f*h + 5*h - 66 = 0. Calculate the highest common factor of h and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -71 + 0*o - 3*o + 141 - 69 + 2*o. Let m(v) = -v**2 - v - 3. Calculate 2*g(i) - m(i).\nAnswer: i**2 - i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - -253. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 853298, 853302, 853306, 853310, 853314?\n\"Answer: 4*a + 853294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 159*l - 122*l = 37 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-52) + (-35)\/(-195)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146652 is divided by 1174?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 275 - 5*o + 137.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*q + 1)*(3 - 3 + 5 + (-2 + 4 + 0)*(-1 + 3 + 0) - 3 + 0 + 1).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 235.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3664*c + 1183467. What is f(323)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 764 = z + 2*d, -762 = -5*z + d. Let k(q) = z*q - 26*q + 9 + 7 - 71*q. List the prime factors of k(3).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1060672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u = 53*u - 48 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010010 + 100?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 8*i**2 - 23*i - 44. Is 5 a factor of o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 48 = -4*m. What is the third smallest value in 3, m, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 4*j**5 - 7*j**3 - 5. Find the third derivative of x(g) wrt g.\nAnswer: 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -3269.3\nAnswer: 3260.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -95 - 5?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**2*v**3 + s**2*v**2 - 2751*s**2*v + 38*s**2 + s*v**3 + 4*s*v**2 - s - 16*v**3 - 4619*v**2 wrt s.\nAnswer: -8*v**3 + 2*v**2 - 5502*v + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 78.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**5 + 2*r**4 - r. Let k(y) = -25*y**5 + 17*y**4 - 22*y**3 + 43*y**2 - 9*y. Let l(g) = 9*h(g) - k(g). What is the third derivative of l(b) wrt b?\nAnswer: -120*b**2 + 24*b + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4 = 10. Let k(f) be the second derivative of 0 - 1\/2*f**2 - 5\/6*f**3 + 9*f. Calculate k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 - 220. Let f be -1*h\/2 - (43 + -48). Solve -2*w + 20 = -f*k, -3*k - 3*w - 15 = -0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-4)\/(-12) + (10 - 3). Let r(l) = 2*l - 6. Let u = -2 + 7. Let q be r(u). Solve -q*i = -d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 1631.\nAnswer: 17941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 29119864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/36*(-9)\/(-5)*(-147)\/(-63)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + 1*sqrt(392) - sqrt(8)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -415.7756 to the nearest integer.\nAnswer: -416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 564 = j. Let t = j - 56. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslyyyylsyyfs. Give prob of sequence lfly.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/75 - i**5\/50 + 7*i**4\/60 + 12*i**2 - 6. Let c(o) = 0. Calculate o.\nAnswer: -7\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5 + 106596*j**4 + 949549044*j**3 + 47122789986*j**2 - 786636844791*j - 832810192326 = 0. What is j?\nAnswer: -17741, -63, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -63*x. Let i(n) = 11*n. Determine i(c(y)).\nAnswer: -693*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.44 + -10.56. Let i = 17 + m. What is the nearest to -2 in 4, -10, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 61\/2*(2 + 10). Suppose -12*j = -13*j + d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**26*j)*j**(-22))\/(j**(-20)\/(j*j\/(j**(-4\/7)*j))) assuming j is positive.\nAnswer: j**(-185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 273 = -2*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h**2 - 62*h**2 + 26*h**2 + 123*h**2 - 35*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 5*d**2 + 4*d**2 + (-5 + 3 + 1)*(-5*d**2 + 6*d**2 - 19*d**2) + 16*d**2 - 27*d**2 - 24*d**2 as j + s*d**2 + b*d and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4179455341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaakaaaaaaaaa. Give prob of picking 3 a and 1 k.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6863533?\nAnswer: 73, 167, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o - 30 = 0. Solve -o*t + 3*t - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - sqrt(312)\/sqrt(32))\/(-2*sqrt(12) - sqrt(3)).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488611?\nAnswer: 3, 829537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*3)**2*-5 + sqrt(13) + sqrt(13) + 1 + sqrt(637))*1.\nAnswer: -584 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 3*x**5\/20 - x**4\/4 - 4*x**3\/3 - 31*x**2. Let j(k) = 13*k + 15 - 6 + 8 - 19*k**2. Determine -6*j(l) - 13*t(l).\nAnswer: -3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1101101?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from ububy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-135))\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 12*g - 760. Let p be -2 - 15\/(-10)*g. Let l = p - 77. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319160, -319274, -319578, -320168, -321140, -322590, -324614?\nAnswer: -327308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8059.051 micrometers in kilometers?\nAnswer: 0.000008059051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 2, f: 1, x: 2, s: 1, k: 2}. Give prob of picking 1 k, 1 s, and 1 f.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 6*s = 0. Suppose 4*y - 41 = 5*g, 3*g + 13 = 2*y + 2*g. Suppose -a + y = 0, -5*a + 6 + 10 = -4*z. Do z and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(7\/6)\/(r\/r**0)**(-11\/5))\/((r**2*r)**(1\/14))**(-1\/9) assuming r is positive.\nAnswer: r**(689\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = s, s + 0*s = -4*v + 28. Suppose 0 = -2*k + v + 18. What is the first derivative of -4 + 0 - k*t**4 + 2 - 2 wrt t?\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Suppose -2*r - h = -9. Solve -2*i - r*f = -0*f + 8, -4*f = 2*i + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 26*u - 13. Let s(z) = 3. Let a(j) = -2*l(j) + 2*s(j). Let m(t) = -8*t + 5. Calculate -5*a(y) + 32*m(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*a + 7. Let d = 0 + 3. Suppose 0 = -2*o - d*q + 15, 2*o - 3*q - a - 10 = 0. Solve -4*g + 0*g - o = -h, h = g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 10593596?\nAnswer: -3\/5296798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 14 + 0)*(-3 + 1 + 6) + 3 + 0 - 4 + (3 + 1 - 3)*(3 + 2 - 7))*(-2*z - 2*z + 2*z).\nAnswer: -74*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 118 + 32. Let n be (-2 - 1)\/(1\/(-5)). What is the greatest common divisor of u and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920833 divided by -4?\nAnswer: -920833\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -421, 3, 20, 135 in decreasing order.\nAnswer: 135, 20, 3, 1\/2, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53381 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/10*5\/30. Let g = 46.1 - 49. Let s = 1.1 - g. Which is the nearest to i? (a) 1\/6 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 32 + 18 = 5*m, -3*m + 16 = g. Solve m + 5 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 0 + 0 + (0 - 1 - 1)*(8*p + 5*p - 6*p) + (4 - 2 + 2)*(-2 + 2 - 2*p) in the form o + z*p and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -764120, -763852, -763404, -762776, -761968, -760980, -759812?\n\"Answer: 90*w**2 - 2*w - 764208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, g: 1, n: 1, b: 1}. What is prob of picking 1 g and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 38. Let y = u + 133. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 7*b + 16. Let x = -11 + b. Let o(k) = -3*k - 4. List the prime factors of o(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 divided by 201?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7585\/(-296))\/205*(0 - -4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2. Let x(v) = 75*v - 3. Let c(p) = 77*p - 4. Let j(w) = 3*c(w) - 4*x(w). Calculate u(j(a)).\nAnswer: 14283*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/2 - 3)*386. Let x = -1348\/7 - p. Which is the nearest to -0.2? (a) 3\/5 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 7.96393.\nAnswer: 15.92786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-13*x + 38*x - 18*x)*(2 + 0 - 3).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -2\/10777, 2, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 3*w - 30, 101*g - w = 99*g - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 31885497\nAnswer: 191312982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 2*p**6\/5 + 38*p**5\/15 + p**4\/12 + 3*p**2 - 7. Find the third derivative of u(t) wrt t.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.025 + 3.925. Let p = -12 + 8. Let n = p + z. What is the nearest to n in 5\/6, -0.2, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 2, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/35, 0.4, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 + -3904\/21. Let q(d) = d - 2. Let y be q(1). Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.208 and 0.3456?\nAnswer: 0.5536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*l + 18 = -6*l, -10 = 2*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + 14*l + 33. Let y be u(-4). Solve 2*i = -65 + y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j - 13. Let v be 105\/(-14)*2\/3. Let i(l) = 19*l + 25. Let y(p) = v*q(p) - 2*i(p). What is the tens digit of y(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34420 - 10?\nAnswer: -34430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k + 8. Let p be ((-14)\/k)\/(9\/8). Let y = -19\/18 + p. Which is bigger: -2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/15 + 666*w\/5 = 0.\nAnswer: 0, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1) + 30\/(-6). Suppose 5*u - 37 = -2. What is the least common multiple of b\/(-3)*(5 + 6) and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539520, -539544, -539596, -539688, -539832, -540040, -540324?\nAnswer: -540696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3578152*u**5 - 1811308*u**2.\nAnswer: 214689120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 minus -129?\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 + 3*n**2 + 4*n + 4. Let t(k) be the third derivative of -k**6\/30 + k**5\/30 + k**4\/8 + k**3\/2 + 5*k**2. Calculate -2*l(v) + 3*t(v).\nAnswer: -2*v**3 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(1872) - sqrt(1872)) + -4 + (3 + 2 + sqrt(1872))*2)**2*-1.\nAnswer: -7552 - 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -183*m - 186*m + 90*m + 13118022. What are the prime factors of m?\nAnswer: 2, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/91 in -9, 2.8, -2\/9, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 6:21 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2)\/5*7705\/134).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*o**2*y + 2*o**2 - 39*o*y**2 + 61*o - 177868199*y**2 with respect to o.\nAnswer: -30*o*y + 4*o - 39*y**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.5 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*f + 3*f**3 + 5264 - 5264 to the form s*f + q + x*f**3 + a*f**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750 divided by -50?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 + -171.83. Let x = o - 0.87. Which is the nearest to -1? (a) -21 (b) x (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292609120 a multiple of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let i = 73\/114 - -1\/38. What is the closest to -1 in i, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/5)*l)\/(l\/(l*l**6)))\/(l**(-4)\/(l\/l**(-1))) assuming l is positive.\nAnswer: l**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21\/110 - -1\/110. Let z = -527.3 + 527. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o - 0. Solve 4 = -o*a - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -37*k**2 + 7*k - 16. Let y(i) = -19*i**2 + 4*i - 7. Determine 6*o(d) - 11*y(d).\nAnswer: -13*d**2 - 2*d - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b - 14 = d, 2*d + 8 = 0. Let g(h) be the first derivative of 1\/4*h**4 - h + 2*h**b + 3 + 2*h**3. Let f(z) = z**2 + z. What is 6*f(p) - g(p)?\nAnswer: -p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74)\/(-6) - (-8)\/12. Let x = m + -11. Suppose -o - 3518 = -2*h, -x*h + 2676 = 2*o - 830. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**7\/63 + j**6\/45 + j**5\/30 - j**4\/18 - 8*j. Factor h(m).\nAnswer: -2*m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 5)*(-11*o**2 + 480 - 497 + 3*o**2) to the form a + c*o**2 + s*o and give a.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17018 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 613387994 to the power of 1\/3, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 181, 1\/4?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28677, -27855, -26485, -24567, -22101, -19087?\nAnswer: -15525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 2, v: 1, h: 1}. Give prob of picking 1 y, 1 h, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25792 and 148096?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98022?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000410885 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 27. Let q be 12\/z*33\/(-2). Suppose w - q = 2. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15155*j - y + 14 = 15150*j, -4*j = 2*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b1717 (base 12) in base 13?\nAnswer: -282b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 + 84 + -12 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -13\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 4*u - 3*u - 10, 2*w = -4*u - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 623 + 592. Is f a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1598\/85 - 14)\/((-2)\/(-15)). Calculate the greatest common divisor of r and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/180*6*330\/(-22).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -159 times -0.5\nAnswer: 79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/24 - n**3\/2 - 15*n**2\/2 - n + 28. Let d(j) be the first derivative of g(j). What is d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.75, -4\/3, 49, 1\/4?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320060 - 10*q**3 - 320060 - 5*q**3.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/72 and 49\/14720.\nAnswer: 132480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.06, 0.046, 97\/5 in descending order.\nAnswer: 97\/5, 0.2, 0.06, 0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3)*-144*43\/602\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179 is divided by 853?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.022 from -0.6.\nAnswer: -0.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 24) + 23 + 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4576 + 5376. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3 - 129312*o**2 - 1045099584*o = 0.\nAnswer: -16164, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44 * 1018.\nAnswer: 447.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696846439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5659 + 7712. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 38403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:52 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 3:04 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - -1 - 13\/26. Which is greater: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11246, -11074, -10902, -10730?\nAnswer: -10558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -0.02, -0.3, 0.52, -5, -27?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 325*b**4 + 12*b**3 + 3*b**2 + 66171?\nAnswer: 1300*b**3 + 36*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3\/5 + 408*r**2\/5 + 10404*r\/5 = 0. Calculate r.\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*t + 42, -2*o + 45 = -4*t + 3*o. Let w = -5 - t. Suppose -2*l + 40 = 5*u, u = -l + w*l + 30. What is the highest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12234114 + 4?\nAnswer: 12234123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 7:17 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 6, s: 11}. What is prob of sequence sksg?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - f**2 + 0*f**2)*(-207 + 583 - 49)*(-2 + 0 + 4)*(0*f - 2*f + f)*(3 + 0 - 2)*(0 + 7 - 5) in the form s*f + d*f**3 + g*f**2 + t and give d.\nAnswer: 2616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -38*n - 4. Suppose -x + 0*r + 5*r - 14 = 0, 0 = -5*x + 2*r - 47. Let g be o(x). List the prime factors of (g\/13)\/(2\/5).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 3:59 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-58)\/4)\/(3\/(-6)). Suppose 79 = -2*a + w. Let j = 80 + a. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + 10 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17.77923 microseconds?\nAnswer: 17779.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 37*k - 696. What is the remainder when p(17) is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:13 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g + 196 = -133 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 6*x = 22. Let f = x - -32. Determine r, given that f*r**2 - 4*r - 13 - 8*r**3 + 13 + 2*r**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 1, d: 1, s: 1, c: 1}. What is prob of sequence sw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-3*(-17)\/(-204)*-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5932a0 (base 11) to base 13\nAnswer: 26c630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 13*u**2 + 11*u + 5. Let d be k(12). Let p be 4 + d + (4 - -4). Suppose -p*b + 14 = -261. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3304341 - -520?\nAnswer: -3303421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -5, -4.1, 0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 3:34 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 256*n**2. Let m(s) = -94*s**2. Give g(m(x)).\nAnswer: 2262016*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33453 + -25?\nAnswer: 33426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -207 - (-10 - -4 - -6). Factor -5*h**2 + d - 207 + 5*h.\nAnswer: -5*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 + k**3)*(k + k - k) + 2*k**4 + 2*k**4 - k**4 - 4 + 2*k**4 + 14*k**3 - 14*k**3 + (-3*k + 3*k - k**4)*(-4 + 6 - 1).\nAnswer: 5*k**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-70)*3843\/(-366)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1777720688.18 - -693.\nAnswer: -1777719995.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*h*i**2 + 2*h + i**2 - 73*i - 2 wrt i?\nAnswer: -58*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*g + 5*g - 1 = 0, 3*g = 3*r + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49a57 + 31?\nAnswer: -49a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1442*s - 1480*s + 82 = 1336 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.85 + 32. Let u = j + 2.6. Let o = 0.25 + u. Sort -3\/8, o, 2\/9.\nAnswer: o, -3\/8, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10744987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/201 - -832\/1407. Solve -24\/7*c**3 + 18\/7*c**4 + 0 - y*c - 22\/7*c**2 = 0 for c.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*k. Solve -39*t - 7 = -k*u - 34*t, -3*u + t - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116766989 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 9*y + 32*y - 46*y)*(-5 + 4 + 3) to r + f*y and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3 - 6*x**2 - 15*x. Let u be d(2). Suppose u*o - 4*o + 188 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/97 - 103\/291. Sort 8\/7, a, -6 in decreasing order.\nAnswer: 8\/7, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0931 and -1763.208.\nAnswer: -1763.3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 6207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 38 - 12 - 13 + 9*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**4\/10 + 464*x**3\/15 - 467*x**2\/5 + 468*x\/5 - 1727. Suppose g(c) = 0. Calculate c.\nAnswer: -234, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 8*p**2 - p**3 + 2*p**3 + 0*p to the form l*p**3 + a*p**2 + d + i*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 13023.\nAnswer: -5209.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10058990*b + 3352996*b + 3353001*b + 3352984*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -38. Suppose -a = 8*i + 53. Calculate the remainder when 15 is divided by 20\/2 - (-7 - i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-40))\/(6\/8 - 0)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91323, -91324, -91325?\n\"Answer: -j - 91322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3)*d**(-7)*d*d)\/((d\/d**(-4))\/((d**3\/d)\/d)))\/(d\/(d*d**5*d)*d*d**(1\/3)*d*(d**4\/d)\/d*d**(-2)) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/(-4))\/((-52)\/(-104)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.13694 to two dps.\nAnswer: -16.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1583 - 1*(-4 + 3). Let u = -14236\/9 + r. What is the common denominator of u and -7\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15870936487\/6254016060 + -2\/16457937. Let z = x - 47\/114. Calculate the common denominator of 6\/5 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3889645.\nAnswer: 5, 23, 149, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 281363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.167803 - 0.17629. What is x rounded to 4 decimal places?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 94860?\nAnswer: 94860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 41b226?\nAnswer: -41b215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734768433 to the power of 1\/2, to the nearest integer?\nAnswer: 41651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6266071?\nAnswer: 7, 41, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 3. Let j(z) = -z**2 + 4*z**2 - 40*z + 40*z. Calculate j(h(n)).\nAnswer: 12*n**2 - 36*n + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -4 + 4\/2. Let u(m) = -4*m. Let v be u(-2). Let c = v - n. What is the highest common divisor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 337982.3km?\nAnswer: 337982300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 2:03 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - t = -7, 31*f + 149 = 13*t - 11*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 2*u - 9*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, 3.\nAnswer: -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let q be (28\/21)\/((-2)\/(-6)). Sort -5, q, p in descending order.\nAnswer: q, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 19520035?\nAnswer: 19520035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287283, -574489, -861695, -1148901, -1436107?\nAnswer: -1723313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116\/281191 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 - 6842648*w**2 + 11705464755621*w - 23410902140658 = 0.\nAnswer: 2, 3421323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -47) + -25 + (0 - 10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25163979 to the power of 1\/2, to the nearest integer?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5 + 3 - 16 + 7. Let s(r) be the first derivative of -2*r + 3*r**2 - 3 - 2*r - 4*r**2 + r. Calculate 3*k(j) - s(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -571\/15 + 113\/3. Let s be 36\/24*4\/(-42). Suppose 0 = w + 2*w + 9. What is the third biggest value in w, s, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -790 by 149440.\nAnswer: -79\/14944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(495)*-2*-3)\/sqrt(11))\/((sqrt(576) - 2*sqrt(576))*-5).\nAnswer: 9*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208194243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46082819\/557 - 82734. Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-2 + 4 + -1). List the prime factors of ((-2)\/(f\/10))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4632 divided by -772\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 26 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) -23 (b) 12.8 (c) 1 (d) 0.1 (e) 1\/5 (f) 180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9918 divided by -5\nAnswer: -9918\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15199 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 39 = -86. Suppose g = 3*b + 118. Suppose -99*k = -85*k + 434. Is b smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.01 (b) 1 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**2 + 3*f + 7. Give b(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4 - 3*m**3 + 0*m**3 + 0*m**3 + m**3 + 5*m**2 + 3*m**3 + 2*m. Let w be ((-4)\/6)\/((-4)\/6). Suppose -5*i + 3*a + w = -a, -i + 9 = -3*a. Calculate z(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -40. Suppose 5 = -3*q + 5*q + v, -5*v = -u. Does -1\/4 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14383? (a) 2\/789 (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 594698, -5, 4\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4)\/(24\/(-13)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*t**3 - 4*t - 126*t**3 + t**2 - 24 + 30 in the form j*t + q + z*t**3 + p*t**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:03 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1552\/144 + 2\/9)\/(2\/9938). What is c rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136, 274, 412?\n\"Answer: 138*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (12 - 15 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 2. Calculate the smallest common multiple of 5 and 1 - (m + -2) - -5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p**3 + p**2 + 0 - 1\/12*p**4 + 0*p. Let u(d) = -3*d**2. Determine u(z(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = m. Let d = m + -1. Suppose -22*r - 11 = -99. Solve b - 2*j + 1 = 0, r*b + 15 + d = j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202 (base 4) to base 15.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x**(-3)\/x)))\/x**(-3\/10))**9)**40 assuming x is positive.\nAnswer: x**(-1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + 1 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -4, -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2789*z**2 - 2659*z**2 + 5473*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -0.168 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18918185.0533752 - -457840.9477148. Let i = d + -19375944. Let n = i - 82. What is n rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*v + 19*v = 0. Let p(m) = -m**2 + 4*m + 11. Give p(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -18. Let w = q + -3. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**3 + 112*v**2 + 11*v - 306. What is z(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33223 (base 8) in base 11?\nAnswer: a551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*q - 328*q + 929*q.\nAnswer: 161*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p**2)*(10*p - 3*p**2 - 10*p + (-4*p - 3*p + 4*p)*(5*p - 4*p - 2*p) - 3*p**2 + 3*p**2 + 2*p**2).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6 = -2*p. Let v(f) = -8*f + 9*f + 4 + f**3 - 2*f**p - 2. Calculate v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 10. Let u(m) = -2. Let w(k) = -2*l(k) + 11*u(k). Suppose t + 0*t = -2. Let b(c) = 5 + 1 - 5. Calculate t*b(s) - w(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:40 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {p: 3, u: 1, v: 5, n: 1, f: 2, a: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 14*j**2 + 2*j - 14. What is k(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcffxbxifxiif. What is prob of picking 1 c, 1 b, and 2 i?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -0.2, 2844, 1, 2 in increasing order.\nAnswer: -0.2, 1, 2, 166, 2844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbiibiiiiibgbibiigbt. What is prob of picking 1 g and 1 b?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1118704? (a) -5 (b) 5\/3 (c) -0.3 (d) -1 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) 12099 (d) -1 (e) -0.3 (f) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -112 - 49. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 105. Let c be z\/18 - (-1 - 1). Determine a so that 17\/2*a**2 - 13\/4*a - c = 0.\nAnswer: -2\/17, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17))*3*-1 + -2 + sqrt(102)\/(sqrt(18)\/sqrt(3)).\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -2\/13 (b) -0.9 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**6\/6 + 4*q**5\/5 - 5*q**4\/4 + 2*q**3\/3 + 64. Factor s(o).\nAnswer: -o**2*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 + -51. Let v be (-1380)\/24 - (-3)\/2. Let s = v + 77. What is the greatest common divisor of o and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1166 and 198?\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 1056?\nAnswer: 43296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143197392 + -0.03883.\nAnswer: 143197391.96117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2020645 (base 8) to base 14\nAnswer: -dc2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 569 and 40.\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (6 - 19 - -39).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11952*c**5 - 15*c**2 - 3*c + 17 wrt c.\nAnswer: -717120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1168634 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 4*d - 5. Let w be i(5). Let s = w - -5. Solve 17 = s*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 132 + -83 + (2 - -15) + 0 + -10?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Suppose 19*w = -0*w. Let n(z) be the first derivative of 0*z + 4\/3*z**3 - 2 + w*z**2. Give h(n(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1100) + 3 + -1 - (5*(3 + sqrt(1100)))**2) + 5).\nAnswer: 4470*sqrt(11) + 83154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/543 (b) 11 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (428\/(-3210))\/(8\/(-90)). What is the closest to 0 in k, 0.01, 12?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 1381\nAnswer: -52\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*q + 478*q - 4*w + 10 = 0, q - 2*w = -7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -1143380.251815.\nAnswer: 1143376.251815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2326.0281 to 1 dp.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 38. Calculate the remainder when s(-18) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 12342?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose 16 + h = 2*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -11098*n + 11099*n - 3*q, -2*n = -15*q + 425 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204185 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -12143334?\nAnswer: 12143310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 653*j + 1. Let d(n) = -n + 1. Let b be d(0). Let r be a(b). Let f = 4530\/7 - r. Find the common denominator of f and 21\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 3 - 2*q**3 + q + 8*q**3. Let f(m) = -m**3 + m - 1. Let y(t) = f(t) - u(t). Differentiate y(s) wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5920019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 13 = 4*p, 3*p + 3 = -0*f + 2*f. Solve f*c = -7 - 2, w = c + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8705 and 1.21.\nAnswer: -10533.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 48*m**2 + 310*m + 26. Calculate the least common multiple of 10 and t(8).\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 99 + 48 - 3738*q**2 + 1243*q**2 + 1248*q**2 + 1249*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14014?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -414*c + 385*c - 4*c**2 + 5*c**2 as v*c**2 + u + a*c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11488236 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 nearest to -11 in -1, 109.01, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/54)\/((-8)\/12). Let o = 2.7 + -2.673. Let x = o + -5.027. What is the fourth biggest value in 4, x, n, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/3))*b)**(-22)*(b*b\/b**(-4\/9)*b)**(-48) assuming b is positive.\nAnswer: b**(-584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8879.\nAnswer: 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(13)*1 + 3 + 3 + sqrt(39)\/(3*sqrt(27)))**2.\nAnswer: 40*sqrt(13)\/3 + 4216\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (6\/(210\/4501))\/(-10 - 30306\/(-3030))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297104 divided by -2396?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 5*z**2 - 15*z**2 as h*z + n*z**2 + m and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2095 - 5755*t - 2080 + 4175)*(36 - 36 + 2*t) to the form h*t**2 + g + u*t and give h.\nAnswer: -11510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 694.8612 weeks?\nAnswer: 7004200.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(2\/7)*w)**(-26))**(-1\/3)*(w**7\/(w\/((w\/(w**(-1\/8)\/w))\/w)))\/(w*w\/(w\/((w\/(w\/(w\/(w**(2\/7)\/w))))\/w))*w)**(1\/12) assuming w is positive.\nAnswer: w**(5111\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -31. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 457 + -399. What is the least common multiple of 2*2*145\/l and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((1 + 3\/(-4))*1). Let q(w) = 6*w**2 + 5*w - 8. Let h be q(-6). Suppose 98 + h = f*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-28)\/210*(-495)\/66.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4572.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*m + m = 202, 2*k = -5*m - 97. Let h = -51 - k. Let c = -19 + 23. Solve h = -l + 3*l - 2*b - 6, c*l + 28 = -4*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36633565 (base 8) to base 6.\nAnswer: -445024501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*5*5)\/(sqrt(704) + sqrt(704)*1 - sqrt(33)\/(sqrt(3)*2)).\nAnswer: 100*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 245 and -494313.\nAnswer: -121106685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttssysstshfftst. Give prob of picking 4 t.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42223, -42406, -42707, -43126, -43663?\nAnswer: -44318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 180468.6 to the nearest one thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 + 2*z + 2. Let o(b) = 11*b**3 - 5*b - 5. Suppose 9*s - 4*s + 32 = 3*h, 2*s - 12 = -5*h. What is h*o(c) + 10*i(c)?\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**2 + 467*r + 7015. Calculate o(-35).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 + 5*v - 7. Let q = -7 + -25. Let x be 98\/6 - q\/48. Let w(h) = -20*h**2 + 14*h - 20. What is x*u(d) - 6*w(d)?\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5a7 (base 13) to base 3\nAnswer: 1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4 - 696*c**3 + 18388*c**2 + 1100496*c + 2121808 = 0?\nAnswer: -26, -2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -1\/6*o**4 - 11 - 2*o + 0*o**3 + 0*o**2. Let l(m) = 58*m - 10*m - 8*m. Calculate v(l(y)).\nAnswer: -3200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxjjjxxjx. What is prob of sequence jjx?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/23 + 562*r**3\/23 - 24076*r**2\/23 - 1120960*r\/23 + 4833600\/23 = 0. Calculate r.\nAnswer: -30, 4, 95, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3482089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167221 - -1310678. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 3*q + 3. Let i be c(-2). Suppose -5*k + 0*k - i*m + 60 = 0, -5*k = -2*m - 46. Suppose 0 - 4 = 4*h - 2*a, -5*a = -k. Solve 1 = b - h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - d. Let j(a) = -8*a**3 + 14*a**2 - 37*a + 3. Let f(x) = -j(x) + n(x). Is 24 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 812 and 818 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11371 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -211, -4, -5, -6, -27?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + 52 + 7*c - 3*c.\nAnswer: -5*c + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1432798 divided by 904.\nAnswer: -716399\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 27484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:54 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 44*d - 211. Let v be p(-4). Is v <= -39\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -750631*u**2*w**3 + 2*u*w + 487521*w**3 wrt u.\nAnswer: -1501262*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1568)*2 + sqrt(32) + sqrt(32) + 5.\nAnswer: 5 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, 349 in ascending order.\nAnswer: -4, 16, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 9:43 PM?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.070632 times 0.0182?\nAnswer: 0.0012855024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 3*w - 4*w**3 - 2*w**3.\nAnswer: -6*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 4*x**2 + 9*x - 7. Suppose -52 = -3*t + 68. Calculate the remainder when t is divided by y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 226539203 and -594153.\nAnswer: 225945050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -11.\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k - 13*k + 55*k**2 - 33*k - 13*k - 54*k**2 + 888 = 0.\nAnswer: 24, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 7:17 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972078 divided by -972078.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348 divided by -4.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 46*y**3 + 16*y**2 - 16*y + 2932. Let q(x) = -9*x**3 - 3*x**2 + 3*x - 586. Calculate 3*o(l) + 16*q(l).\nAnswer: -6*l**3 - 580","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19 or -2384?\nAnswer: -2384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -18 + 9 - 2*w + 9. Let b(s) be the first derivative of -22*s**3\/3 + 45. Determine b(t(o)).\nAnswer: -88*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2352975*l + 682*l**2 + 3875*l**2 - 140*l**2 + 2448*l**2 + 5*l**3 - 2359845 = 0.\nAnswer: -687, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 28. Let u be j(8). Solve -o - 18 = 3*w - 8*w, u*w = 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2068.7 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -5700.\nAnswer: -11\/5700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244880 by -4.\nAnswer: -61220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673884761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -5*x**4\/6 + 55*x**2. Let d(f) = -2*f**2. Determine d(w(j)).\nAnswer: -800*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21242972*d**3 - 258*d - 15864.\nAnswer: 127457832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576254?\nAnswer: 2, 3, 262709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2226 = -3*m, -2*w + 1493 = -16*m + 17*m. What is the remainder when w is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -13. Let b be 8\/28 - (-7700004)\/j. What is b rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48.941 - -0.059. Let u = h - 49.0000033. What is u rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -4, 2, -0.0561?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234.02 at least 1084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -148 + 113. Let y = 961 + -960. Let g(u) = u**3 - 8*u**2 + 8*u - 4. Let x be g(7). Solve y = 4*i - 5*m - x, -z*i - 16 = -m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(2\/9)))**(5\/6) assuming g is positive.\nAnswer: g**(5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*b + 390*b - 2*k - 5 = 0, -3*k + 179 = 8*b + 169 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 77*p - 128*p.\nAnswer: -184*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, v: 7, l: 1}. Give prob of picking 2 v and 2 o.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 31.1 (b) 65474 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/4 + 5*y**2\/2 + 4*y - 3. Let g be n(-3). Solve g = 2*w + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2 + 5*l - 33*l - 18 + 12. Let y be a(-1). What is the greatest common factor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*l - 122 + 122)*(77 + 76 - 49).\nAnswer: -11232*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -515, -632, -747, -860?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 32*z - 28. Let m(o) = 2*o - 5. Let u be m(4). What is the second derivative of 2*d + 2*d**3 + d + 6*d**u + z*d wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 124*b**2 - 6*b - 13. Let k be f(-2). Let n = k - 256. What are the prime factors of n?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14. Let f = 41\/649 - -7\/59. Which is the third biggest value? (a) u (b) 0 (c) -3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 91*r + 18. Let g be t(11). Suppose -5*h + g = -666. What are the prime factors of h?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938303 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-960)\/(-9) - (-4)\/(-6). Let u = v - 103. Suppose 2*r + 23 = u*r. Calculate the highest common factor of r and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i, -4*i + 1217 = 3*c - 6*i. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -22. What is the highest common divisor of f and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366 - 362. Suppose -2*d = -o + 623, u*o + 3*d = -0*d + 2437. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*m - k**4 + k**3*m + 341*k**3 + 2184*k**2*m - 23*k**2 - 3*m wrt k?\nAnswer: 48*k*m - 24*k + 6*m + 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.19, -0.2, -5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672cdc (base 16) to base 8.\nAnswer: 31626334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-1*sqrt(117))\/sqrt(9))**2 + (-1 + sqrt(52))**2).\nAnswer: -330 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006083261 to five decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.00053 in -1\/7, -2, -392?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = 12. Suppose 2*y - 4*z + 2402 = r*y, 2*z = -4*y + 4816. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*g - 10, -4*s + 4*g + 9 = -3. Suppose -4*n - s*n + 560 = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 21.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**6 - 9310536*q**3 + 15*q**2 + 60990*q + 6.\nAnswer: -360*q**3 - 55863216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 781*g + 18023. Calculate the smallest common multiple of (-5 + -1)\/(2\/(-10)) and w(-23).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -124.3 (b) -1\/4 (c) -44 (d) 0 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p = 66*p + 2*l - 10 + 2, 7*p - 18*p + 56 = 5*l for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/x**(-1)*x*x)**19)**(1\/18) assuming x is positive.\nAnswer: x**(133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/343)\/((10\/25)\/(658\/705))?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 21*m**2 - m + 14827. What are the prime factors of h(0)?\nAnswer: 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35970836105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936.0689 centuries to years.\nAnswer: 93606.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2) - (sqrt(2)*3*-3)**2) + 0 + -4)*1 + -2.\nAnswer: -166 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14838 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/3)\/(10\/(-12)). Let t = a - -23. Let d = 26460 - 396902\/15. What is the second biggest value in t, 1, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 10\/45 + 112\/63\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1645*q + 14806. Determine x(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13986)\/(-324) - 54)*(-7 - -13)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose 0 = j*s + 2*s - 50. Let d = -6 + s. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 572\/6 - (-21)\/(-63). Suppose -197 = -x + 6*x + v, 0 = -2*x + 5*v - c. Is 1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23422 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -662, -671, -692, -731, -794, -887?\n\"Answer: -o**3 - 2*o - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 5 (c) -8469198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -13*i**2 - 1. Let g(v) = 27*v**2 + 2. Let x(o) = 5*g(o) + 10*k(o). Let s(m) = -302*m + 1. What is s(x(h))?\nAnswer: -1510*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 45*d**5 + 10245*d**4 + 661505*d**3 + 9485555*d**2 + 42909250*d + 34075000 = 0?\nAnswer: -116, -94, -25\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*j**2 + 1782*j + 1 - 1 - 1779*j + 0.\nAnswer: 115*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09371419 rounded to 4 decimal places?\nAnswer: -0.0937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -661 - -657. Let p = -3 - -1. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/58536 and 31\/36?\nAnswer: 58536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a, a + 6 = 2*b + 2*a. Let o be (-3)\/(2 + -5)*b. Which is smaller: o or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3 + 5. Suppose -r*o = -3305 - 3007. Suppose 0 = -2*x - 124 + o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1386628ns to minutes.\nAnswer: 0.00000000003564438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -17, 74, 203?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a - 7. Let v be i(12). Suppose 2*m - z - 96 = 0, 115 = 5*m + 4*z - v. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 0 + (-3 - (-12996)\/4). Suppose -15*g - v = -16*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 24 + 6 - 555 as d*v + m*v**3 + i*v**2 + q and give q.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 1. Let h(a) = -3*a - 1. Determine h(b) + k(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*m + 11 = -4, -2*m = -5*n + 15. Suppose -5*j - 7 = 33. Let f(l) = -l - 4. Let x be f(j). Solve -u = n - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5698 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 13 + 5 = 0. Let l be 1\/2 + (-41)\/n. Suppose 0 = 4*r - l + 5. Solve -v - r*v = -25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + 0 + 5576 + -5541?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 42*o**3 - 192*o**2 - 5632*o.\nAnswer: 2*o*(o - 11)*(o + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.99 + 0.01. Let i = t + -10.2. Let f = 3 - i. Which is the second smallest value? (a) f (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*((-3)\/(-3) - 0). Let s = -4 + n. Find the second derivative of -5*x + 5*x - s*x - x**3 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/39*(-1)\/(-3). Let l(t) be the second derivative of 5*t**3\/6 + 37*t**2\/2 - t. Let j be l(-7). Is y > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6*t + 10, -3*x - 2*t + 79 = 0. Let q = -15 + x. What is the smallest common multiple of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(7\/(-105)*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let r be o(3). Let n(w) = -w**2 + 2*w + 4. Give n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2235843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 6*t**2 - 8*t + 3. What is the lowest common multiple of x(3) and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-1 - 2*x + 1)*(-2 - 3 + 6)*(-6 + 3 + 2).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -1) + 2 - -21. What is the common denominator of 41\/3 + -1 + 0 and 1\/t*(1 - 83)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:09 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v - 32. Suppose -2*y + v = -y. Suppose 0 = -4*p + y + 4. What is the biggest value in 0, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-75850)\/(-666) - 2\/(-18). Suppose v = 5*k - 4*q, -2*q - 112 + 42 = -3*k. Calculate the greatest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/8)*g*g*g**6*g*g assuming g is positive.\nAnswer: g**(81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2)\/sqrt(12))\/sqrt(2) - (sqrt(7) + (1*sqrt(1008) - sqrt(1008)) - (sqrt(14) + sqrt(56)\/sqrt(4))\/sqrt(2)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/5 + ((-68)\/(-10) - 6). Solve -5*u - 5*f + 10 = 0, -5*f - 35 = -5*u - z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 32*d + 15*d + 13*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(52)*5)**2*1 + sqrt(117)\/(sqrt(9) + sqrt(729)*1)).\nAnswer: -2600 - sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 2368373.\nAnswer: 28420476","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Round -6464435356 to the nearest one hundred thousand.\nAnswer: -6464400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 3*c - 5*c - c**2 - 6*c as o + y*c + u*c**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 268.7*3\nAnswer: 806.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooho when four letters picked without replacement from hhshhtootootook.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18134*t + 9447827. Determine r(-521).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 4 - 12*v + 4*v - v. Let x(f) = -f + 1. Let t(u) = 0 - 10 + 14*u - 2*u. Let k(z) = t(z) + 3*x(z). Determine -7*c(q) - 4*k(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1189 - 3*l**3 - 834 - 878)*(-l + 2*l - 2*l).\nAnswer: 3*l**4 + 523*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -67458*o + 622. Let b be n(9). What is b rounded to the nearest ten thousand?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32347, 32349, 32351, 32353, 32355?\n\"Answer: 2*w + 32345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 618*c + 311616. What is y(329)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -w - 3*r + 19, -3*r = -15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 794107534 to the nearest one million.\nAnswer: 794000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.5 (b) -64 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16821003 and 168210030?\nAnswer: 168210030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 39*j - 36*j + 22, -6*l = -4*j - 12. Sort l, 5, -1, 1, -103.\nAnswer: -103, l, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, -14, 1, 362 in decreasing order.\nAnswer: 362, 19, 5, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(45)*-1 + 1)*3*6)**2.\nAnswer: 3888*sqrt(5) + 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758 (base 10) in base 2?\nAnswer: -11011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -24*t - 2. Let x = 11 - 13. Let b be l(x). Suppose 0 = 3*k - 5*f - 24 - b, 2*f + 10 = 0. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 3*j - 3*j)*(-1 - 4 - 13) + (-3 + 0 + 1)*(2*j - 2*j + 2*j) + (3 - 2 + 1)*(7 - 7 + 3*j) + 1 - 1 + 3*j.\nAnswer: -229*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (10 + -16) - 7 - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -24) + -136 + 90.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 19. Let h be u(-11). Suppose -d + y + 1 = 0, d = -h*d - y - 16. What is the closest to d in -4, -1\/4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/19 (b) 195 (c) -221 (d) 1 (e) 0 (f) -1 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -629 - -624. Sort -1261, 3, p, -2.\nAnswer: -1261, p, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75725504629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 - 2615 = 37*o. Let m = -67 - o. Solve -9 = -3*l + 3*s, 3*l - 2*s = 2*s + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (8 - 2)) + 8 - 15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 10*w + 136. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -4, 5, 13633, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by (-16)\/(-240) - (-1122)\/45?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 4 - 3*a - 7*a + 2*a. Let s(w) = -13*w + 8. Let r(u) = 4*s(u) - 7*y(u). Let p(v) = -1 + 4 + 2 - 4*v. Determine 2*p(h) - 3*r(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*q\/((q*q\/q**(-7))\/q)*q*q))*q\/((q*q*q*(q\/q**2*q)\/q)\/q*q))**34\/((q**2*q**(-4))\/(q**4*q**(-4))) assuming q is positive.\nAnswer: q**(-134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -232021332 (base 4) in base 13?\nAnswer: -68088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58024\/27 - 2442217\/1080. Let k = -1239\/40 - h. Let y = 479\/5 - k. Calculate the common denominator of -33\/5 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4376 - 63?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4303, 14685, 31149, 53695?\n\"Answer: 3041*m**2 + 1259*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = f + t, -4*t + 10 - 10 = 20 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -194063, -13, -4.\nAnswer: -194063, -13, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/((u\/u**(-2\/3)*u)\/u*u))\/u)\/(u*u*u*u*u*(u\/(u\/(u\/u**5*u*u)*u))\/u*u*u*u))\/(u**(-2\/3))**(2\/57) assuming u is positive.\nAnswer: u**(-965\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 16 = 5*l - 8*h, -4*l - 2 = -5*h. Solve 4*i = 2*i - 3*y - 14, l*y + 13 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (-117718)\/(-16) - 294\/784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -944.\nAnswer: 1\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-3))\/(20\/30). Find the second derivative of -3*p**n - 48*p + 33*p + 2*p**4 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-29)\/(-10)) + 1\/(-5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f + 6. Let s(v) = -v**3 + 3*v**2 - 4*v + 1. Let i be s(-3). Let p = 78 - i. Let d(l) = -l - 1. What is p*d(k) + 2*m(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 9*g + 15. What is the remainder when 22 is divided by h(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 178*t**2 + 167*t**2 + 11 + 917*t**2 - 5.\nAnswer: 906*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddchsjhsisdchshcs. Give prob of sequence cci.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**5\/5 + b**4\/2 + b**3\/6 - 11*b**2\/2 + 153*b. Does 23 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12688872?\nAnswer: 2, 3, 7, 47, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -150 (b) 1 (c) 0.15 (d) 0.0036 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123392 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 4*n**2 + 3*n. Let p be h(2). Suppose 5*a - 15 = -5*l, -l - 9 = -2*l - 3*a. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-21)*2\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -2556\nAnswer: 11\/2556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00332297 to 5 decimal places.\nAnswer: 0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/(103960\/(-16))*1\/1\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Let z(s) = -205845*s + 129. Give z(h(n)).\nAnswer: -411690*n**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*n - 12 - 16 = 0, -14 = 2*q - 5*n. Let m(f) = 3*f**2 + 7*f - 9. Let j be m(q). Suppose t - j = -5*x, -27 = 4*x + 5*t - 115. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, r: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*v = 822*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 263, 1051, 2365, 4205, 6571, 9463?\n\"Answer: 263*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.0344 centimeters in micrometers?\nAnswer: 5810344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from pwmymms?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from xqxqqqqxxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40964 + 62275 = -11508*i + 935*i - 171659 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p + 5. Let v(l) = -25*l - 15. Give 10*o(u) + 3*v(u).\nAnswer: 5*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/69 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 290.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1477, -1610, -1811, -2110, -2537, -3122?\nAnswer: -3895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1314\/1460)\/((-2)\/4). What is the closest to 0 in h, -4, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 7*j**2 - 6*j + 2. Let t be b(-6). Let q(c) = -24 + 29 - 2*c**2 + c**t - 4*c. What is q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0*q**2 - 2*q**2 + 3*q**2 + (1 - 1 + q)*(q + 2*q - 4*q) - 9*q**2 - 3*q**2 + 2*q**2.\nAnswer: -10*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (399\/342)\/(((-24)\/(-9))\/4).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24200 divided by 2420?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*c - 0*c + 1, 4*c - 5*v = -24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/2, -3\/8, -1\/6, 2\/7, 13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18653400 divided by 746136.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 + 121.7. What is the nearest to -1 in 2, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021819 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-4))\/(24\/(-32)). Let i be ((-744)\/60)\/((-2)\/v). Let h = -20 - i. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1254 = 227*m - 226*m. What are the prime factors of m?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37486681 - -4?\nAnswer: 37486685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8*1\/10*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 25 = 26. Let z be (-2)\/12 + (-206)\/(-12). Calculate the highest common divisor of d and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.75 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(1 + -1 + sqrt(252) + 1) - -4*((sqrt(252) - (2 + 1*sqrt(252))) + 3)))**2.\nAnswer: 576*sqrt(7) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y**2 - 7. List the prime factors of s(6).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-6)\/(-24))\/(8\/24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 - -221. Let k = -0.16 + -1.14. Let n = -2.7 + k. Sort s, -1\/3, n.\nAnswer: s, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.4, 5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1589 = -13*f - 1550 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 6223582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1200 - -3771. Let l = u + -2570.9998789. Round l to 6 dps.\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.727 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463 + z - 8*z**2 - 174 - 289.\nAnswer: -8*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/4))**43*t**(2\/11)\/(t*t\/(t\/(t*t**(-1)*t)*t)))**(1\/4))**(2\/11) assuming t is positive.\nAnswer: t**(-1455\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3496, -2741, -1976, -1201, -416, 379, 1184?\nAnswer: 1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 227.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*p**3 + 7*c**3*p**2*r + 97500*c*p**3*r - 7656*c*r - 2*r wrt p.\nAnswer: -6*c**3 + 585000*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (94 - (-1 + -5 + -1 + (25 - 11))).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is badcae (base 15) in base 16?\nAnswer: 87e582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 877 divide 20359555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 703 - 660. Suppose 6*d - 2*d + 3*j + y = 0, -5 = j. Let h(k) = -k - 1. Let g(a) = -4*a. Let c(o) = -g(o) + 5*h(o). Determine c(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 29*c - 266. What is p(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -348 + 136. Let p be (7\/((-14)\/f))\/2. Suppose -8*o + 3*o + 2*x = -p, -1 = -x. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 1, -10, -37, -86?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 98 = 117*c - 113*c, 0 = 4*u + 3*c - 156. Solve 21 - u = -b + 4*w, 3*w + 9 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 8*l**2 - 10*l + 1. Let a = 1 + -1. Calculate the remainder when s(-9) is divided by 2 + a\/(-1) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 36*k**2 + 120*k + 100 = 0.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*m = -59*m - 2508. Calculate the lowest common multiple of 152 and m.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12667572, -12667570, -12667568, -12667566, -12667564, -12667562?\nAnswer: -12667560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 57121*n**4\/3 - 956*n**3\/3 + 2*n**2 + 1085*n. What is w in d(w) = 0?\nAnswer: 1\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 - (31 + -39)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132\/5 + 14\/5*v**2 + 302\/5*v.\nAnswer: 2*(v + 22)*(7*v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 19 = -3*o, 2*o - 3*o - 5*c + 25 = 0. Let f = -26 + o. Let n = f + 54. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/((-11)\/(-22)). Suppose 0 = x*k - 4 - 2. Solve -3*b - k*b - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.30785*-0.02\nAnswer: 0.266157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2660600 divided by -212?\nAnswer: 12550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.5 + 96. Let c = -19\/63 - -4\/9. What is the nearest to -1 in -4, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14)*(8\/(-4))\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2655296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 784786.79 - 784796.7899957. Let m = 170 - 180. Let j = m - s. What is j rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + b**2. Let w(m) be the first derivative of m**4\/4 - 4*m**3\/3 - 14. Calculate -4*c(p) - w(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 278424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*g + 64 = -g, -5*q = -4*g - 67. Let v = 35 - q. Calculate the remainder when 47 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12067064*c**6 + 239998*c**2 - 2*c + 3?\nAnswer: 1448047680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = a - 4, 0 = 89*a - 94*a - 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:46 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r - 71*r + 2*k = -4, -k = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19957 - 19952. Let z(t) be the third derivative of -6*t**3 + 0*t**4 + 0 + 0*t + 3\/4*t**q - 28*t**2. Find the first derivative of z(s) wrt s.\nAnswer: 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -520337 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 >= 2016\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31592928\/5 or -3?\nAnswer: -31592928\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*u + 649935146 = 1682341265 + 1428553281. Round u to the nearest one hundred thousand.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*c + 2724 = 1553*c - 29220 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3192, 6322, 9402, 12408, 15316, 18102?\n\"Answer: -4*n**3 - n**2 + 3161*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/313540 and 163\/677100.\nAnswer: 174014700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -3*g, -2*g = 4*s - 21 + 17. Let k(l) be the first derivative of l**2 - 2*l - 1. Let p(f) = -f + 1. Give g*k(m) - 5*p(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11001011100001111011011 (base 2) to base 14\nAnswer: c586cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0*z**2 - 1\/12*z**4 + 0 + 0*z**3 + 3\/20*z**5 - 5*z. Find the third derivative of j(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 112. Let t be 2\/7 - (-184)\/c. Let a be (-2)\/(t*(-4)\/(-672)). Round a to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 128*v - 7. Let z(o) = -137*o + 9. What is -6*f(p) - 5*z(p)?\nAnswer: -83*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 11521*u**2 + 11521*u**2 + 4*u**3 - 5.\nAnswer: 4*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*j + 2*y, -4*y = -2*j - 781 + 757 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/15 - 24\/30) + 2. Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 5. Calculate the remainder when 268\/6*(-3)\/(-2) is divided by k(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 + 2 + -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -242, -2 in descending order.\nAnswer: 109, -2, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, 0.1, 6, 53, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.1 (c) 58 (d) -76 (e) -2 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*c - 17 - 28*c - 22*c - 116*c - 34*c + 17.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.2788189 rounded to two decimal places?\nAnswer: 403.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.266606163 less than -8369?\nAnswer: -8304.733393837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - y = -d + 10, 0 = -5*d - 2*y + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 1. Let m be (4\/(-2))\/((-2)\/(-33)). Let i = -25 - m. Suppose t + 24 = 5*x, x - i = 4*t + 3*x. Let f(s) = s**2 + 1. Determine t*w(j) - 3*f(j).\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10\/13 - -43\/39. What is the common denominator of p and -89\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/650 and -103\/530.\nAnswer: 34450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 7 + (-14 - -3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 - 14954*x**2 - 27960240*x - 27945288 = 0. Calculate x.\nAnswer: -3738, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51257 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 241?\nAnswer: -15\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose 4 = r, -t*f + 2*r + 11 = r. Let i(v) = 4*v + 10*v + f*v - 3*v. Let o(h) = -2*h**2. What is i(o(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 12. Is (113\/c)\/((-2)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z - 24 + 184 = -64. Calculate the remainder when 271 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = -5. Suppose p*j - 22 = -0*j. Let x = 30 - 31. Which is the third smallest value? (a) j (b) x (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2444 and 3518138.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 + (-429)\/65.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6)*6\/(-4). Suppose -81 = -40*n + 13*n. Let 0*f + 0 + f**4 - 1\/2*f**n - b*f**2 = 0. What is f?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7742314 (base 8) to base 2.\nAnswer: 111111100010011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967 is divided by 571?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 6 + 8 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 7*y - 12. Let l be a(-4). Let m(g) = g + 7. Let b be m(-4). Suppose l*n = -n + b*w + 89, -w = -2*n + 168. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 9)\/(((-75)\/(-6))\/(-25))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7*d + 52*d - 2 - 4.\nAnswer: 59*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3, d = -2*u - 5 + 12. What is the smallest common multiple of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, 27, -21, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-84)*70\/(-60))\/(2\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100535 = -56*f - 99247 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 421957897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*d - 21906633 - 445250. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86129213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let f(s) = -s**2 + 7*s**2 - 3*s**2 + 3*s**2. Calculate w(f(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 10 = 2*f. Suppose f*p - 9 = 1. Suppose 6*h + g - 4 = p*h, 3*h = 3*g + 18. Calculate the least common multiple of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c - 30. Let k(b) = b - 22. Let i(w) = w + 18. Let a(o) = -4*i(o) - 3*k(o). Let z(n) = 15*n + 13. What is c*z(h) - 13*a(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 145 = 56 - 76 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 28*k + 25, -260*k - 10 = -5*p - 523*k + 268*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k = 186 - 15. Solve k*b - 9 = -3*z, 14 = 3*b - 4*z - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112201222220010 + -20?\nAnswer: 21112201222212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39600 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*6 - 140\/34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 18. What is y(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-4)\/2)\/2)\/(5\/(-55)). Suppose 22*t - a*t - 33 = 0. Solve 5*g + 3 + t = -d, -3*g - 14 = -2*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33880 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/34 + 126*a**3\/17 - 11907*a**2\/17 + 500094*a\/17 + 166. Solve m(g) = 0 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -15.6533411\nAnswer: 9.39200466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.624 rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0807*3\nAnswer: 0.2421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (154 - 156 - 9*a + 4*a)*(-1 + 3 - 1) to s + f*a and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10074598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/629 and 151\/222?\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 + 187\/44. Suppose o*z = z + 636. Is z\/6*(17 - 14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933*s = -63*s - 43824 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 367 + 367.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31940?\nAnswer: 2, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139301 divided by -165?\nAnswer: -139301\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -249576, -499162, -748746, -998328?\n\"Answer: a**2 - 249589*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 3*o + 21. Let m be z(6). Suppose -4 = 3*i + 2*u, -4*u - 1 - 5 = 5*i. Which is the second biggest value? (a) m (b) i (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = -2*m - 0*m, 0 = -3*b - 4*m + 20. Suppose 5*k - 1660 = 5*x, 283 = 2*k - b*x - 383. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283.4 - 282.227. What is n rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**3 - g**2 - 2*g. Let c be y(2). Suppose -j = -5*j + c. Let a be ((-126)\/3)\/(-1 - 0). What is the highest common factor of j and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 16\/(-6))*(550 + -553)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 11. What is the units digit of f(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/60)\/(-9)*53\/212*140\/6.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144013835 + -0.08?\nAnswer: 144013834.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 395 and 3.3?\nAnswer: 391.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -62.5. Let h be 2\/(1 + 3\/3). Which is the closest to h? (a) 4 (b) 2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 535508.\nAnswer: 5890588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1537+-4\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Suppose 0 = 2*j - j - 4. Let q(k) be the second derivative of 0*k**3 + 0*k**2 + 1\/12*k**j - k + 0. What is q(n(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) - (-183)\/(-2). Let z be -7*(-13)\/(c\/6). List the prime factors of (z - -1)*(12 - 19).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*a + 16, 24 = -3*x - 2*a - 2. Let m be 38\/x*(-45)\/(-15). Which is bigger: m or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Suppose 0 = j*l - 0*l + 9. Let n(v) = 5*v**2 + 3*v + 3. Is n(l) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(2\/3))\/s)\/(((s*s**6*s)\/s)\/s)*s**7*(s**7*s*s)\/s assuming s is positive.\nAnswer: s**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124093771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 23*h - 14*h - 14.\nAnswer: 4*h - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*m + 1195341*m**2 + 0*m**3 - 1195341*m**2 + 5*m**3 in the form r*m + s*m**2 + d + u*m**3 and give r.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3814*l**2 - 1527*l**2 - 4195*l**2 + 1193*l**2 - 2752*l**2 in the form j + a*l + i*l**2 and give i.\nAnswer: -11095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 3:39 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/8615475 and 88\/885.\nAnswer: 8615475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2035500466 - 1?\nAnswer: -2035500500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 7*b - 16. Let q be (7 - 2 - 6)\/(5\/10). Let r = -4 + 3. Put q, b, r in ascending order.\nAnswer: b, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from cssssosoig?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q + 56. Determine d(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13833 and 87.\nAnswer: 13833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7708400163 to the nearest integer?\nAnswer: 87797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8505 and 49035?\nAnswer: 3971835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from nqqn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122706*i*v**2 - 13*i*v + 3*i - v - 343 wrt v.\nAnswer: -245412*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/40 and 97\/940.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 147, 1103, 3497, 7983, 15215, 25847, 40533?\n\"Answer: 109*b**3 + 65*b**2 - 2*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2 - 6*h - 11. Let d(m) = m - 2. Let u be d(-4). Let v(c) = -4*c**2 + c**2 + 3 + 3*c - 4*c**2 + 2 + 11*c**2. Calculate u*n(p) - 13*v(p).\nAnswer: 2*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -78. Let w = k + 22. Let q = 1.04 - 0.04. What is the biggest value in 0.3, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4 - 2 - 2*c + 3 + 2. Let y(b) = -b**3 - 3*b**2 + 2*b + 4. Let p(g) = -g**2 - g + 3. Let q be p(-3). Let d be y(q). Determine v(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*t = 177092 - 216536 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 28, -0.6, 4\/3, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 2*g**2 + 2*g - 3. Let f(x) = -4*x**3 + 9*x**2 - 7*x + 13. Give -2*f(l) - 9*w(l).\nAnswer: -l**3 - 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2128224 divided by -6\nAnswer: -354704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 380638 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 - -40305310?\nAnswer: 40305021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 + 198330\/8 + 1\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/24 and -23\/114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3602.972+1\nAnswer: 3603.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 25*l**3\/3 - 25*l**2\/2 + 10. Let p(t) = -t + 1. Let y(i) = -2*p(i) - z(i). Factor y(m).\nAnswer: -(m - 1)*(25*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17999985 - -0.18. What is p rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-47 - 1) - 1. Let r = l - 16. Let d = r + -18. Calculate the highest common divisor of d and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.61 + -8.99. Let z = n + 10. Let q be ((-1)\/1)\/((-45)\/5). Which is the nearest to -2? (a) z (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164909756?\nAnswer: 2, 11, 3747949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 - 2128 = -192*p - 1202 + 7156 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442566095 to the power of 1\/3, to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 2:58 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - -5) - ((-23 - -13) + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 724155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111011000 (base 2) to base 3.\nAnswer: 2001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 - -11 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 7*g + 32. Let h = 38 + g. Which is smaller: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3*r**2 + r**2)*(10 + 13 - 3*r - 15).\nAnswer: -3*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -13. Suppose 0 = s + 4*o + 17, 0*s + p*s + 3*o = -9. Suppose 4*v = -5*q + 17, s*v - 7 = -2*q + 4. Which is smaller: 1\/4 or q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -418, -122, 144, 380, 586, 762, 908?\n\"Answer: -15*k**2 + 341*k - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2 + h + 2*h + 2*h - 3*h. Let u(k) = 4*k - 3. Let z(x) = -5*c(x) + 3*u(x). Give z(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, x: 3, o: 8}. Give prob of picking 2 x.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 + 0 + 0 + (7*i**3 - 2*i**3 - 4*i**3)*(-4*i - 2*i + 2*i) + 9*i**2 - 9*i**2 + 3*i**4.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 78, 91?\n\"Answer: 13*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(-2)\/(-5))\/((-40)\/25). What is the smallest value in -3\/4, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*b + 19. Let w = 23 - 9. Suppose -6*z - w = -4*z. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 0)*(6 - 7). What is the second derivative of l - 6 + 1 + l**4 + c wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -404200343?\nAnswer: 404200322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 434 = -4*p + 386, 5*p = -2*f - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 + 338*i**3 - 7370*i**2 - 9762*i + 46332 = 0. What is i?\nAnswer: -3, 2, 27, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421793741 to the nearest integer?\nAnswer: 20538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28815 - -29326. Solve 75*p = -89 - h for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(2 + -1) - -1. Let y be (-3)\/(-2)*(t - -4). What are the prime factors of 9*1 + (-6)\/y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v - 4*l = -52, -86 = -3*v - 2*l. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*w - 12 = 13, 3*h + w + 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -3, -2\/11, -19\/11 in decreasing order.\nAnswer: 2, -2\/11, -19\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {p: 4, b: 1, a: 1, s: 2, q: 2, r: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Work out 165 + -46.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1693 equal to -1705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -187 in decreasing order.\nAnswer: 10, 4, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*o + 4*f + 601, 3*o - 4*f = -532. Round o to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138*q**3*u**2 - 3412112*q**3 - 2*q*u**2 - 1465*q*u wrt u?\nAnswer: 276*q**3*u - 4*q*u - 1465*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4292694, 8585361, 12878028, 17170695, 21463362?\nAnswer: 25756029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 51994*g + 52006*g + 0*g**2 + 51995*g - 155995*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:16 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*i + 1451562 = -50*i. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 107\/2 + 42\/(-28). Let j(o) = o - 27. Let c be j(0). Let s = c + d. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3 - 26*h**2 + 0*h**4 + 4*h**2 + 13*h**4 + h**4 wrt h?\nAnswer: 336*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l + 39750 = -455*l - 786*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 76 = -3*a, -6*a + 78 = -3*a - 3*r. Suppose -2*x + a = 2*x. What is the least common multiple of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180309343 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 4, f: 2, v: 5, o: 2}. What is prob of picking 1 b and 2 o?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (78\/(-5))\/(-3) - 7\/35. Solve -15 = -10*n + m*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -117\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32613.47 microseconds in nanoseconds?\nAnswer: 32613470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {m: 3, g: 2, h: 1, u: 6, s: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + y = -184, -i = -5*i - y + 140. Let a = 302 - 188. Suppose h - 5*v = 6*h - 185, -2*v = 3*h - a. Solve 5*w = 5*f - h, -4*f + 6*w - w + i = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/2713? (a) -13\/5 (b) -0.3 (c) 4\/17 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-1)\/(2 - -31)). Let m be 20000*p\/9*90. Round m to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2601, 2448, 7487, 12510, 17511?\nAnswer: 22484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:56 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 11*q - 16 = 0. Solve -t - 2*t + 13 = n, n = -q*t + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.45 (b) 0.4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29312 is divided by 182.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -33. Let n = f - 2. Suppose 3*b = 2*k - 2, 1 + 11 = 3*k. Solve b*g - 4*t = -8, -4 = -t - n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*y = 181*y - 210. Sort y, 7, 0, -2.\nAnswer: -2, 0, 7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**14)**(3\/34)*(((v\/v**(-15))\/v)\/v)**(-37) assuming v is positive.\nAnswer: v**(-8785\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1478 + 1506. Calculate the greatest common factor of s and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/39 + (-76)\/13. Let b(u) = -u**2 - 4*u + 6. Give b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1021*l**4 + 178*l**4 + 477 + 284 wrt l.\nAnswer: -3372*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96159.\nAnswer: 3, 7, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41170, 83689, 126208, 168727, 211246?\nAnswer: 253765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1891 divided by -983\nAnswer: 1891\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3\/2 - 39545*r**2\/2 - 5713245*r + 17317620 = 0. What is r?\nAnswer: -282, 3, 8188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14732 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -47. Let o = 12 + q. Suppose 4*k - 12 = 0, 0 = 4*p - 5*p + k - o. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168570 + 674283\/4. Solve 9\/8*d + w + 3\/8*d**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.6 + -26.2. Round n to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + sqrt(2057)*1)*4*6 + 0)**2*2.\nAnswer: 76032*sqrt(17) + 2380035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 20100 (base 4) to base 11.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-6)\/15*1). Suppose -3*h + 7*h - 1455 = i*o, 1195 = -4*o - 3*h. Let m = 535 + o. What is m rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4\/6 - 65*a**3\/3 - 2395*a**2\/6 - 335*a + 756 = 0.\nAnswer: -108, -21, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/17 + 3048*s\/17 + 3014 = 0.\nAnswer: -1507, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47 in 5, 2, 90, -3, -0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2964100 rounded to the nearest 10000?\nAnswer: -2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33835\/2 or 16917?\nAnswer: 33835\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s + 1. Let r be o(1). Solve 4*b - r = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-485)\/388*(24\/32 + (-7)\/(-12)). Let i = 0.3 + -0.7. Sort 5, i, a, -6.\nAnswer: -6, a, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2. Let t(b) = -b + 11. Let f be t(8). Let w = -1 + f. Let i(x) = -2*x**2 + 0*x**2 - 2 + w. Calculate h(i(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 42.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 - 3*(-7 - 16). Let i be (2\/12)\/(-5 - y\/(-12)). Is i less than or equal to -2\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1188\/7*k - 54\/7 - 8712\/7*k**2 - 21296\/7*k**3.\nAnswer: -2*(22*k + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let b(g) = -g. Let c(v) = 20*b(v) + 5*w(v). Let f(j) be the first derivative of 2*j**3 + 3. Determine f(c(r)).\nAnswer: 600*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 140648 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -w + 1404, 2*w + 2*o = 4*w - 2828. Let m(u) = 10*u**3 - u**2 - 2*u + 3. Let p be m(1). Is (-8)\/40 + w\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*4\/(-16)*2. Let c be ((-52)\/t)\/(4\/(-6)). Which is smaller: -24 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**5 + 11*c**4 + 9*c**2 + 11. Let r(l) = 4*l**4 + 3*l**2 + 4. Let k = -17 + 28. Let d(n) = k*r(n) - 4*i(n). Find the third derivative of d(a) wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 - 135*f**5 - 1016*f**2.\nAnswer: -240*f**3 - 8100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/(-5)*(1 + -6). Calculate the common denominator of 12948\/2112 + 4\/22 and (h\/(-6))\/((-6)\/(-10)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 - 11*t - 1 - 1 + 13*t. Let g(m) = -66*m**2 + 27*m - 27. Let l(f) = -2*g(f) + 27*j(f). Suppose l(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13142 - 2.56442. Which is smaller: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10141967926752 + 2.\nAnswer: 10141967926754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -730537?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*d**2 - 34*d + 34*d + 215*d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from yhayy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/5 + 775772*n**3\/5 + 3878894*n**2\/5 + 6206248*n\/5 + 3103128\/5 = 0?\nAnswer: -2, -1, 387891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 11. Suppose 0 = -l + b + 2. Let g(m) = 3*m**2 - 2*m. Let t be g(2). Solve -l*n - 20 = -t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 24915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173689.\nAnswer: 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -19\/246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a**4 + 97556\/3*a - 707281\/3 - 1682*a**2 + 116\/3*a**3.\nAnswer: -(a - 29)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 2. Let m(a) = -a**3 + 5*a**2 - 16*a + 20. Let j(l) = -m(l) - 2*n(l). Let p be j(3). Solve p = 2*c + c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637296 and 135388?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -9616*j + 9508*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*r = 2, 3*x + 5*r + 4 = x. Is (-41)\/x*10 - -6 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 18. What is the units digit of b(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 3 (c) -601\/6 (d) -0.3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 23 + -1 + (5 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 3:24 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1197*a + 529. Let m(j) = -1202*j - 527. Let h(u) = 4*b(u) + 3*m(u). Differentiate h(t) with respect to t.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37997, -152338, -342895, -609662, -952633, -1371802, -1867163, -2438710?\nAnswer: -3086437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -2*m**6\/15 + 5*m**2\/2 + m. Differentiate s(z) wrt z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/3 + 5*v**3\/2 + 7*v**2 + 28. Let j(x) be the second derivative of n(x). Differentiate j(z) with respect to z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 20 = 5*k - 4*b, -4*k + 5*b = -33. What is the first derivative of 21 + 1 - 1 + 2*n**2 + k wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -12897 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9559 and 3509?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/8 - (99\/24 + -4). Suppose 0 = -t*r, -4*h - 4*r = -3*h - 171. What is the greatest common factor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**3 + 1522*y**2 + 931*y wrt y.\nAnswer: -12*y + 3044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1692, -1716, -1766, -1836, -1920, -2012, -2106, -2196?\n\"Answer: z**3 - 19*z**2 + 26*z - 1700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*i = -288*i - 63 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480822*1352.\nAnswer: 650071344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3 and -67\/207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 + 6*b**2 - 6*b**2 + 1320 + 757*b + 2*b**2 + 559*b.\nAnswer: -4*(b - 330)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + -1.04. Let m = 1.0999994 + n. Round m to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98.81 - -98. Let z = l + 0.809963. What is z rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2, 1, -29579?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s + 7883 + 7635 = -12*s + 11293 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-706)\/(-13))\/2 - 10\/65. Calculate the highest common divisor of v and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -76?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-40)\/(-6))\/(1\/(-3)). What is the greatest common factor of y and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -138 + 67 + 46 + 45 - 116*a in the form g*a + r and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 96\/15 - (-2)\/(-5). Let d(r) = -2*r**3 + 5*r**2 + r. Let j(u) = -u**3 + 5*u**2 + u. Let k = -8 + 3. Let p(w) = f*j(w) + k*d(w). Factor p(l).\nAnswer: l*(l + 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 75306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o**2 - 32*o + 6. Let x be f(8). Let l = x + -198. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(13\/5)*n*n\/(n**7\/n*n*n)*n)\/(n*(n*n*n\/((n**(-2\/19)\/n)\/n)*n)\/n)**(-15) assuming n is positive.\nAnswer: n**(8472\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 3. Let g be r(-3). Let p be (-6)\/(-9)*(g - -3). Differentiate -2 - 2*s**3 - 5*s**2 + 5*s**p with respect to s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1137380, 1, -7?\nAnswer: 1137380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p + 1\/8*p**4 + 0*p**6 + 3*p**2 + 0 + 1\/105*p**7 + 0*p**5 + 0*p**3. Find the second derivative of h(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 40 = -x. Suppose 5*z - 11 = -3*k, z = 4*k - 4 + x. Let v = 2 + -1.9. Which is the closest to v? (a) -1\/5 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 5, -2\/21, 4\/3 in descending order.\nAnswer: 5, 4\/3, 0.01, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 2, -2\/425, -2432, 0.4, 1, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 8*q + 19. Let x(u) = -u**2 + 4*u. Let m(z) = -d(z) - 3*x(z). Let l be m(7). Let a be 4\/(-18) + (-10)\/(-45). Solve a + 4 = -l*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 2:37 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1\/9 (c) 35\/2 (d) 3.5 (e) -15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74877 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 13*u - 26. Let h be w(10). Find the second derivative of -h*o**3 + 12*o - 4*o + 3*o wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 2:31 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1120732*k**4 + 3006598?\nAnswer: -4482928*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) - ((sqrt(208) - -5*sqrt(208)) + -4) - ((sqrt(208)*1 + -1 - sqrt(208))**2 + sqrt(208)).\nAnswer: -24*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1 (c) 19 (d) -1\/3 (e) 96\/7 (f) -2 (g) -36\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = z. Suppose k = -z*t - t + 75, -3*k + 221 = 4*t. What are the prime factors of k?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -205\/23 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42455\/3639 - 46\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from yygygrgr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -72, -174, -344, -600, -960, -1442, -2064?\nAnswer: -2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5 - 314103*m**4 - 314106*m**3 = 0?\nAnswer: -1, 0, 104702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30524 is divided by 744?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 - 4*p**2 + 9*p - 4 - 3*p**2. List the prime factors of a(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.39\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/1020 - (4\/((-112)\/(-91)) - 3)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 50. Let r be (-160)\/(-24)*(-9)\/q. Let p(c) be the first derivative of -c**2 - 3*c - 1. Let l(u) = -5*u - 7. Calculate r*l(n) - 9*p(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 64. Sort -3, 2\/5, s, 3 in increasing order.\nAnswer: s, -3, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24 = d - 6, -2 = -w + 4*d. Suppose -w*j + 367 = -563. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 38, 53, 72, 89, 98?\n\"Answer: -z**3 + 11*z**2 - 21*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 + 2608\/30 - 629\/(-9435) and 2960?\nAnswer: 32560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-30))\/(2\/(-12)). Let o be 8\/14*(-245)\/(-150). Let t = o + g. Which is the closest to 0? (a) 3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.506 - 0.006. Let q = j + -16. Which is the closest to -1? (a) -4 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.07 + 2.07. Let d = -0.2741 - -46.1941. Let j = -46 + d. What is the nearest to a in 3\/5, -2, j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-9)\/(-3) + (-32)\/(-14). Factor 3\/7*t**2 + 6\/7 + v*t.\nAnswer: 3*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1\/4, -886, 0.2 in decreasing order.\nAnswer: 1\/4, 0.2, 0, -5, -886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, u: 3}. What is prob of sequence vvvu?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/7)\/(1\/(-7)). Suppose g*q = q. Suppose b + 4*b - 3*t - 3 = 0, 0 = -4*b - 2*t + 20. Solve 0 = -q*p + p + b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35862, 39223, 42584?\nAnswer: 45945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*y - 8. Let b be 3 + 0 + (0 - 3). Solve b*x = y*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2. Suppose -o = -2*o - 3. Let n be j(o). Solve 3*a + 18 = 5*m, 2*m + n = 2*a + 5*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 21*n**2 - 55*n + 13. What is p(-18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 22 - 88. Suppose 7*n = 5*n - 4*p + 32, -2*n + c = 2*p. Let f(g) = 2*g + 20. Does 4 divide f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -813 + 810.506. Let t = f - -0.154. What is t rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - n + 13367, 1284*b = 1285*b + 2*n - 13367. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450*c**3 + 91*c**4 - 180*c**2 + 0*c**4 - 466*c**4 - 24*c.\nAnswer: -3*c*(5*c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1905276, 3810552, 5715828, 7621104, 9526380, 11431656?\nAnswer: 13336932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 202577088.\nAnswer: 202577088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19800 - -37185. Is s a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 75\/99 + 1\/(-11). What is the closest to -2\/7 in 1, 4\/3, 2\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 - q + 0*q**2 - 1\/3*q**3. Let b(y) = -4*y**2. Determine b(k(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 64 = -j + 14*j, -o + j = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -16\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 697 + 9263 - 5*b + 3*b + 3*b - 942 as i*b + s and give s.\nAnswer: 9018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31*41 + 4 + -3. Suppose -2*v + 82 = -2*y, 0 = 5*v - 4*y - 155 - 43. What is the remainder when d\/20 + (-4)\/(-10) is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 23 - 6 - (16 - -7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 - 134*o**2\/3 - 533*o\/6 - 133\/3.\nAnswer: -(o + 1)**2*(o + 266)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 1. Let k(g) = 2*g - 45. Let q(p) = -p + 22. Let i(t) = 2*k(t) + 5*q(t). Let a be i(18). Determine n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 + 0*k**4 + 5*k**4 + (0*k**3 - 2*k**3 + 4*k**3)*(-4 - 6*k + 4) + 5*k**4 - 2*k**4 - k**4 - k - 5*k**4 + k.\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 46 + 9 = 0. Suppose -580 = z - o*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-36))\/((-234)\/972*3))\/2.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59.62 + 60. Let r = f + -0.3800001. Round r to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-27) + (-2)\/12)\/(-9). Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from {e: 8, f: 1, x: 6}.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 26, 8, 8, 32, 86, 176?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68\/7 in 1, -4, 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {z: 4, f: 9, k: 6}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*a - 30, -5*j = -a - 2*a - 10. Let i = -59 - -82. Solve -1 = 2*m - g + j, 3*m + 2*g = -i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Suppose -5*w = 3*t - 13, 3*w + s*t = -5 + 16. What is the second derivative of 2*z**w + 2*z - z**2 + 0*z wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53852, -107719, -161586, -215453, -269320, -323187?\nAnswer: -377054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-1)\/2*530\/3975?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -40*c + 5. Let v be h(0). Suppose 0*d + 5*d + 15 = 0. Let y(a) = -a**3 - a**2 + 5*a + 2. Let g be y(d). Solve v*l = 2*i - 18, 2*l = -i + l - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r + 54. Let i be 95\/6 + (-3)\/r. What is the highest common divisor of i and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 336, 362, 424, 534?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -703.05 - -679. Let t = u + 0.05. Let m = t - -23.9979. Round m to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 0. Suppose 5*c + 2*i = 12, h*c + 2*i - 1 - 7 = 0. Let -22*t - c*t**5 - 10*t**2 + 10*t - 6 + 4*t + 14 + 10*t**3 + 2*t**4 = 0. What is t?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**6\/40 + 7*z**4\/16 - 3*z**3\/4 + 12*z - 2. Suppose c(t) = 0. Calculate t.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + 2522?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 102*y + 102*y + 58*y**3.\nAnswer: 55*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/3 (b) -2\/9 (c) -19 (d) -43 (e) -2\/3 (f) -4 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 14) to base 6\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 284*l + 12771. What is o(-53)?\nAnswer: -2281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b5 - 4?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 18*i**2 - 21*i + 47. Let w be p(19). Let d(o) = 4*o - 28. What is the smallest common multiple of 10 and d(w)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2365a69 + 5?\nAnswer: 2365a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 591630 and 740?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 162*q + 467 + 1316 = p, -3*p + q = -0 + 1 + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-12)*t**(-2))**(2\/5) assuming t is positive.\nAnswer: t**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 36*m**3 + 83*m**2 + 54*m + 11.\nAnswer: -(m - 11)*(m + 1)*(2*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -104*b**4 + 225*b**2 + 132290?\nAnswer: -416*b**3 + 450*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 33*v**2 + 9*v - 3*v.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:35 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (6*2*sqrt(77))\/sqrt(7)).\nAnswer: 4 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40264 is divided by 789?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Let y be -1 + 3 - (q + 1). Solve -3*d + 4 = y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23388 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**4\/12 - 13*o**3\/3 + 19*o**2\/2 - 45*o + 2. Let i be s(-26). Solve -4*w - i = -2*a - 3, -w = -a + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154686 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1284 + 1283. Which is the nearest to l? (a) -0.4 (b) 1\/14 (c) -0.2 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46518912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 7*w**2 - 19*w + 12. Let n be a(9). Let l be (294 - -6)\/n*(193 + 4). Round l to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -28\/3*g**3 + 0*g**2 + 0 - 2*g. Let n be k(-3). What is the greatest common divisor of 28 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.3, 1027, 8, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1102708 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k + 3*k**2 - 4*k - k**2 + 8 - k**2. Let g(i) = 6*i + 2. Let z be g(-2). Is a(z) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 8. Let l(h) = 13*h**3 - g*h**3 - 3*h + 2 - 1. Let u be l(2). Solve u*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 3:00 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6762*z - 23 + 30 + 6.\nAnswer: 6762*z + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4804 < -4813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e566ea4 + -4?\nAnswer: -6e566ea8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**2 - l**2 - l**2)*(-2 + 2 - 2*l) + 2*l**3 + l**3 - 2*l**3.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*u**5 + 402*u**4 + 2*u + 68609.\nAnswer: -2300*u**3 + 4824*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -5. Let i be 0 + (3 - (p - -7)). What is the units digit of 1\/i*-6 - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + y + 2. Let z(s) = -280*s**2 - 4*s - 6. Give 2*i(d) + z(d).\nAnswer: -290*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -409, -12, -0.5, 0.4, -2, 322, 1\/4?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20727\/882)\/((-5)\/10)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1145 + 2164\/72135. Let a = -37.88 - -37.78. Put 1\/2, a, v in increasing order.\nAnswer: a, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1915*b**4 - 281*b**4 + 606*b**4 + 2*b**4 + 0*b**4 + b**4 + (0*b**3 + 4*b**3 - 2*b**3)*(-4*b + 4*b + 2*b).\nAnswer: 2247*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 3*b - 2. Let j be g(2). Let x = 3 + -3. Suppose j = -u - x*u + 16. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27749926\/(-817162) - (-2 - 32)\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4231195 - -13?\nAnswer: -4231182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.056 - 4.244. Let x = o + 4. Let z = -22 - -19. What is the closest to x in -1\/8, z, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:53 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 513789 and 513790 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 126100*j**2 - 1512660*j - 4537440.\nAnswer: -5*(j + 6)**2*(j + 25208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 q, and 1 j when three letters picked without replacement from {k: 1, c: 6, j: 3, h: 3, q: 5}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/32 + (338\/8 - 0). Is f less than or equal to 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6241964 and 5900?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 7. Suppose f + l = 1, -f - 5*l + 8 + 5 = 0. What is the closest to f in 3, u, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2872*c - 107081 - 48512 - 1809 = -31034 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/7 - 40494*y**4\/7 - 1703140*y**3\/7 - 23043204*y**2\/7 - 103469854*y\/7 - 11727042 = 0 for y.\nAnswer: -17, -7, -1, 20289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 11 - 3, a - 10 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 - 4*r**2 - 2*r**2 - 37*r to j + i*r + x*r**2 and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -564d3 (base 14) in base 5?\nAnswer: -23201023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 7*i. Let x be z(0). Let y(t) be the third derivative of 1\/24*t**4 + 0*t + x*t**3 - 8*t**2 + 0. Let g(s) = -2*s**2. Calculate y(g(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 29. Let h = 18775.247 - 18760.247003. Let k = h + j. What is k rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 166667 and 6.1.\nAnswer: 1016668.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - 1.1873\nAnswer: -1.2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 9. Let a be 276\/i - (-3)\/2. Let x be (-6)\/a + 84\/22. Solve 6*m - 2*m = -x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 73, -8162\/331 in increasing order.\nAnswer: -8162\/331, 4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = 0, -5*t - 15 = -41*h + 36*h. Solve -t*r + 8 = -14*j + 12*j, -5*j = r - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = 3, 5*f = 5*x + 145. Let z be x*(7 - (-320)\/(-12)). Calculate the greatest common divisor of z and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7935 times -0.3?\nAnswer: -0.23805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78576 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**3 + 12*z**3 + 4*z**3.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62962002.\nAnswer: 2, 3, 1013, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 160*o + 321. Determine b(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7ba9 (base 12) in base 8?\nAnswer: -730361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-7)*35\/(-30)*(-9)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60209 is divided by 127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g - 0. Let t(z) = -1 - g + z**3 + z + 8 - 4*z**2. Calculate the least common multiple of t(4) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(5 + ((sqrt(76)*-3 + -5)*-2*2)**2).\nAnswer: -136188 - 11520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 26*q = k + 13137, -8758 = -2*q + 2*k. List the prime factors of q.\nAnswer: 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482 divided by 4.\nAnswer: 241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -967 - -967. Let s be 128\/170 + (-12)\/30. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) 4 (d) -0.2 (e) 3118 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -27.052. Let r = -0.152 - v. Which is bigger: r or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 2*y**3\/3 + 3*y**2\/2 - 11*y - 24. Let m be l(-5). Does 26 divide 560\/m*(5 - 6\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -1\/3 (b) 19384 (c) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 94*l**2 + 4*l - 1. Let r be h(-10). Is 2\/13 - r\/(-91) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327.9730001 + -9.\nAnswer: 318.9730001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -107279 divided by -1?\nAnswer: 107279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42771 is divided by 4606.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 2*u**2 + 6*u - 8. What is the tens digit of v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -76?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2*4 + 5 + 4 + -5 + ((sqrt(80) - (sqrt(80) - (sqrt(80) - -1*sqrt(80)))) + -3)*4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 12*v - 10. Let b be z(4). Let x be -15 - ((-108)\/42 + b\/(-14)). Let o = 160 + x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(208\/(-32))\/13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 4*f**2 + f + 5. Let o be m(4). Suppose 2*n - 3 = 3, 4*n - 2 = i. Let s(q) = -32*q + i*q + 14*q + o*q. Let b(u) = 11*u. Give b(s(r)).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 3*y - 4*y + y**2 - 10. Let x be b(-2). Differentiate 7698*o - 7698*o - 36 - 8*o**x wrt o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 232493 and 1167.\nAnswer: 233660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000568322 rounded to seven decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 21 + 3 = 0. Let t = -9 - l. Suppose 5*z = -5*s - 0*z - 30015, 2*s - 4*z + 11988 = t. Round s to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.56537 meters to kilometers.\nAnswer: 0.00756537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -136 - 97 - 101 + 335 - p. Let b(d) = 13*d + 24 - 16*d - 28*d. Let c(k) = -b(k) - o(k). What is the first derivative of c(n) wrt n?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -375*(-1*1 + (-22)\/(-55)). List the prime factors of ((-8)\/5)\/(3 - 693\/m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3689.1 - 3689. What is the third biggest value in 138\/5, -3\/5, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33972 + -22320. Suppose 5*q = l + 4036 + f, -2*q = 3*l - 6265. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**18\/r)*r)\/((r\/((r*((r*r**26*r*r*r*r)\/r)\/r)\/r*r))\/r)*(r*r*r**1)\/(r\/(r*r\/(r*(r**(-2\/11)\/r)\/r))*r) assuming r is positive.\nAnswer: r**(222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 - 11*b. What is the units digit of c(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/11)*q)\/q)\/(q\/((q\/(q\/q**(-1\/8)))\/q))*((q\/q**2)\/q)**(-26))\/(q**(-1\/4)*q**7*q*(q**(-9)\/q)\/q**(-7)) assuming q is positive.\nAnswer: q**(3979\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1044)\/(-29) + -30)\/((-18)\/(-78))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 73585*g**2 + 72552*g**2 + 8.\nAnswer: -1033*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -7*z - 21*z**2 + 43*z**2 - 30*z**2 + 4. Let l be b(-2). What is the highest common divisor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 732993484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -352 + -725\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4\/5 - 2579*h**3\/5 - 10293*h**2\/5 + 3607*h + 5150 = 0.\nAnswer: -2575, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -38b?\nAnswer: 37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115260 divided by 18235?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 4*c**3 - 4*c)*(5*c + 2*c - 4*c) - 4*c - 5*c**4 + 3*c**4 + 2*c + 4*c**2.\nAnswer: 10*c**4 + 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4772835 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 7*k - 6. Let d = 5 - 11. Let b be m(d). What is the first derivative of w**2 + b*w**2 - 2*w**2 - 4 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -149, -170, -193, -218, -245?\n\"Answer: -k**2 - 16*k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjkjpkpjjppffy. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*t + 11, 0 = -4*t - r + 8 + 6. Let v be 2 - -3*(1 - 0). Suppose 6*i - i = 60. Solve i + t = -v*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a kilogram in grams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000417815 rounded to seven decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -39, -4 in increasing order.\nAnswer: -39, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-1 - 7\/(-2)). Suppose 10*p = -642 + 3122. Suppose f*c = c + p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -5, 3, 4, -152, 8 in decreasing order.\nAnswer: 66, 8, 4, 3, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*u + 8, -h + u + 6 = -2*u. Let p(v) = -v**3 - 29*v**2 - 30*v - 52. Let t be p(-28). What is the units digit of (-565)\/h - t\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3) + sqrt(9)\/sqrt(3))*-1)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(126063\/126054 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0527*-7.663.\nAnswer: 0.4038401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-17)\/u)\/u*u*u*u*u\/((u*u\/u**21)\/u)*u*u)**(-27\/4) assuming u is positive.\nAnswer: u**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -7, 0.\nAnswer: -7, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2861.985 months?\nAnswer: 23.849875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*h + 24 = -5, -2*h = -i - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - -115?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2. Let f(p) = 3*p**2. Let r(m) = -3*f(m) + 2*j(m). Let t(i) = -4*i**2. Determine -20*r(c) + 4*t(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(0\/(-15))\/17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -4\/23, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -121, -537, -1217, -2155, -3345, -4781?\n\"Answer: p**3 - 138*p**2 - 9*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in -3, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -26 + 12 + 8 + -5 - -36\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00146920676 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 5:30 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022320 (base 4) to base 10.\nAnswer: -21176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6546, -13091, -19638, -26187, -32738, -39291, -45846?\nAnswer: -52403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.684185 - 0.73618352. Let z = m + 0.052. Round z to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/445 - -436\/4005. Let w = 236 - 249.9. Let q = -14 - w. What is the fourth smallest value in l, -0.3, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 77.2, -1\/6 in ascending order.\nAnswer: -23, -1\/6, 77.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 4:09 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by 81\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q + 4. Let t be r(2). Let g(d) = -d**3 - 13*d**2 - 16*d + 1. Let h be g(t). Suppose f = -2, 0*y - y + h = -5*f. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 122506670 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52498 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 447128*t + 8494710.\nAnswer: 2*(t + 19)*(t + 223545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3131 - 3161.79. Round n to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 0.000614?\nAnswer: 0.000614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18207, 36534, 54849, 73146, 91419, 109662, 127869, 146034?\n\"Answer: -w**3 + 18334*w - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 60. Let f(i) be the third derivative of 0*i**5 + 0 + 0*i**j - 1\/120*i**6 - 1\/12*i**4 + 2*i**2 + 0*i. Find the second derivative of f(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379\/(-29) + 57 + (-28067)\/493.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m + 58*m = 24. What is the tens digit of (-8)\/24 - ((-134)\/m + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8417218ml in litres?\nAnswer: 0.0008417218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + 2.87. What is the nearest to -0.1 in 3\/8, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 + -324. Let u = 0 + -8. Sort -1\/2, -0.2, j, u.\nAnswer: u, j, -1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*n = -14, 4*u - n = -0 + 5. Suppose -y + 54309 = u*y. Let l be 2 - y - (1 + -2). What is l rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42736645*w - 69002979 with respect to w.\nAnswer: -42736645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186565?\nAnswer: 5, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 20*o**2 + 50*o + 37. Give u(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2243885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from veevev?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1003 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n + 25. Calculate the common denominator of (-26)\/(-18)*n - -2 and 73\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1953 + 59\/13020. Let v(u) be the second derivative of 0*u**2 - 1\/40*u**5 + j*u**6 + 1\/9*u**3 - 7*u + 0*u**4 + 0. Factor v(g).\nAnswer: g*(g - 2)**2*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 24*z**2 - 2*z**3 - 58*z**2 + 32*z**2 - z - 5*z**3. What is a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-8 + (11 - 6))\/(3\/(-4)) and 772.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyiiooiooiiyoiii. Give prob of sequence yoyo.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/54)\/(2\/18). Suppose -5*x = n + n - 756, d*n + 2*x - 1134 = 0. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -224620 - 2?\nAnswer: -224622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 2, -3, -58282?\nAnswer: -58282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**2 + 97575*r - 97572 = 0.\nAnswer: 1, 32524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 + 5*z + 3. Let a be j(6). Let h be (1*-2)\/((-4)\/(-6)). Let x = a - h. Solve x = -4*d + d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13318406 to the nearest integer?\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 113 (b) -3\/94 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000468542909 to 7 dps.\nAnswer: 0.0004685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 - 5*p**2 + 0*p**2)*(-4 + 1 + 2) - 53 + 7*p**2 + 53 to y + u*p**2 + n*p and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddw when three letters picked without replacement from {d: 11, y: 6, w: 1}.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223687 is divided by 2304.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1468 and 16100?\nAnswer: 14632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t + 1. Let w(z) = -3*z**2 + 3*z + 34 + 24 - 57. Let j be -2 - (-4 + (-2 - -3)). Give j*l(k) - w(k).\nAnswer: 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9462.662 rounded to the nearest one hundred?\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2976727 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y + 90. Suppose -z = -4*c + 206, 0 = -3*c + 5*z + 128 + y. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-45)\/(-20)) - -7. Let r = k + 29. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 123\/7 in -5, 0.2, -27\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 4708 - 2*v**2 + v**2.\nAnswer: -5*v**2 + 4708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.7 + -0.2. Let c = u - 9. Let b = -4\/3 - -11\/6. What is the nearest to b in c, -3\/5, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**3 + 60*f**2 - 18*f - 130. Give t(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z + 96202 = 382822. List the prime factors of z.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/7892 and -18\/3454723?\nAnswer: 13818892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1603, -3184, -4765?\nAnswer: -6346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**4\/24 + m**2. Let o(u) be the second derivative of -u**4\/6 - u. What is o(y(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 7, w: 2}. Give prob of sequence bh.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9) + -3 - (4 - 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2)*3 + (-1 - 1). Let t = 12 - 7. What is the smallest value in t, 4\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - -6 - (1519997 + 1). What is d rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/4, -1\/7, -2, 5, 61?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13752063?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14617 and 4747?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 14\/3 (c) 1\/2 (d) -2\/547\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -dcb87c?\nAnswer: -dcb877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12*i + 17556 = 0. What are the prime factors of i?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1933490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*d - 56, d - 51 = 5*v + 7. Suppose -8*t - 298200000 = -d*t. What is t rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3\/3 + 5*n**2\/2 + 74*n - 54. Let b(u) be the first derivative of z(u). Calculate b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 766842230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckkjkckckkckckkkwkk. What is prob of sequence ccwc?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62734775.\nAnswer: 5, 53, 113, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4833, -9743, -14653, -19563?\nAnswer: -24473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -1\/6*z**2 - 1\/12*z**4 - 3 + 0*z - 2\/9*z**3. Solve c(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -5. Let k be (20 + -3 - 4) + -4. Let c = l - k. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d - 12*d + 4*d + 2*d - 24 + 32 to the form z + p*d and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-15) + (-26)\/6. Let c(w) = w**2 - 18*w - 14. Let z(r) = 3*r**2 - 65*r - 43. Let v(j) = -7*c(j) + 2*z(j). Calculate v(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 6*x = -5*x. Solve 5*w + 3*q - 5 = x, 4*w - q = -6*q + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**4*m*m))**(-23) assuming m is positive.\nAnswer: m**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26914*j - 53846*j + 26903*j.\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, 10879228, 1 in descending order.\nAnswer: 10879228, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 0*k = 594. Let u = k - 68. Which is smaller: -0.12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22794*a**3 + 9*a**2 + 12*a - 21808 wrt a?\nAnswer: 136764*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k - 5\/24*k**4 + 0 + 4*k**2 + 0*k**3. Let j(h) be the first derivative of -h**3 - 33. Determine j(w(g)).\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6816084 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12298, -2, -7.\nAnswer: -12298, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-10)*10\/4. Let b = -1941 + 23297\/12. Let s = d - b. Is s at most as big as -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8170046 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (-4*-2*sqrt(65) - sqrt(65)))*3)\/(-1*sqrt(5)*-4 + (-2*sqrt(10))\/sqrt(2)).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -99146?\nAnswer: -49573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -15. Let g = 233 + -228. Let q be 12\/(-20) + (-81)\/(-60). Which is the smallest value? (a) q (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/38426 and -83\/22.\nAnswer: 422686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -10. Let i = -14 + 11. Which is the closest to s? (a) i (b) -0.04 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53585.\nAnswer: 5, 7, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r**3 - 6*r**2 - 9. Let c(x) = x**3 + x**2 + 1. Suppose -38*i + 14*i = 55*i - 79. Calculate i*l(o) + 6*c(o).\nAnswer: -7*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 4.9\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 81b (base 12) to base 5\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-2\/39))**(-28) assuming r is positive.\nAnswer: r**(-56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 r when three letters picked without replacement from qtqir.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**2 + 32*l + 7. Give s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/3, -5, -25, 0, 4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/9)\/c)\/(c**4*c))\/(c*c\/(c**(-9)\/c))**(3\/16) assuming c is positive.\nAnswer: c**(-301\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7645 is divided by 549?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let s(v) = -3*v**2 - v - 2. Let f(g) = 136*g**2 + 6*g + 12. Let q(i) = -f(i) - 6*s(i). Determine q(l(h)).\nAnswer: -472*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 5, -10 in decreasing order.\nAnswer: 5, 1, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.2 - -37. Let b = 0 - 5. What is the smallest value in b, v, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*d, 3903 + 2995 = h - 3*d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/5 - 8*l**3\/5 + 4*l**2\/5 + 6*l\/5 - 4\/5.\nAnswer: 2*(l - 1)**3*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:18 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + -0.34. Suppose 26*s = 20*s - 24. Let a be (s\/42)\/((-24)\/168). Is p >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b. Let m(f) = f - 170. Calculate m(s(g)).\nAnswer: 13*g - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 1. Let k be f(0). Let b = k + 2. What is the third smallest value in 4, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/(-342))\/(2\/68)*(0 - -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3428*d - 23863. Calculate a(7).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -24, -17, 8, 57, 136, 251, 408?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 729 + -732. Let p(x) = -2*x + 1. Calculate p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdtxdzttttxqdttez. What is prob of sequence dx?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**3 + 4*r**3 - 3 - r + 3 as w + k*r**2 + h*r + y*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2778*r**2 - 122233*r - 14. Give g(-44).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -143902.5 to the nearest 100.\nAnswer: -143900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 261455 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 12 = 4*b + 2*k, 5*b = -4*k + 15. Suppose 0 = -b*z - z + 908. What are the prime factors of z?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4851 divided by -693?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9502 - 3992. Is l a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s**3 + 220*s**2 - 235*s + 50 = 0.\nAnswer: 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -7. What is the units digit of (-42)\/f + (-12)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - -7. Calculate the smallest common multiple of j and -5 + (13 - (-7 + 1)) + 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118*p*u**3 - 3*p + 6*u**3 + 5*u wrt p.\nAnswer: -118*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 0.4241.\nAnswer: -1.4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*5*66\/(-55). What is the common denominator of -53\/7 and (-137)\/p + 21\/(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17894 != -1163142\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3*v**3 - d**3 + 17*d*v**3 - 357*d*v + v**2 wrt v.\nAnswer: -24*d**3*v + 102*d*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1280)*1 - sqrt(1280)) + -3*sqrt(1280)*2)\/(sqrt(16)\/sqrt(144) + (sqrt(24)\/(-2*sqrt(6)) - sqrt(4))).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 138?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052368667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -30*h**3 - 2131*h**2 - 42*h + 2052. Determine z(-71).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -469525580757?\nAnswer: 469525580753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 23. List the prime factors of 3\/12 - w\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669783659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*11\/44)\/(2\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.661405156 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2602018 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 459512*v**4*w**3 + v**4 + 10814*v*w**3 - v wrt v?\nAnswer: 5514144*v**2*w**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irn when three letters picked without replacement from {q: 3, i: 6, n: 4, r: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010101010101011010100 - 111?\nAnswer: 1011010101010101011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -35*v + 5 + 4 + 0 + 0*v. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1986\/6620 - 2*1356454\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48*-244.48742\nAnswer: 11735.39616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 3*sqrt(34)\/sqrt(2)).\nAnswer: -18*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3710)\/(-1113)*(-5)\/(50\/24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2. Let b(s) = 34*s**2 + 8*s + 2. Let t(v) = -68*v**2 - 20*v - 5. Let p(f) = 5*b(f) + 2*t(f). Give p(q(m)).\nAnswer: 1224*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15 - 82*l + 82*l + 20*l**4 + 14 wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -46*c - 41*c + 130*c - 45*c. Let l(h) be the third derivative of 0*h**3 + 0 + 1\/2*h**4 + h**2 + 0*h. Calculate d(l(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c + 3. Let s = 6 + -9. What is the tens digit of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y + 32. Let g be b(4). Suppose g*k - 129 = 351. Suppose -k = -3*r + 300. What is the greatest common factor of 48 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 61 - 4*j + 47 - 138 + 42. Give o(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/325446 and 151\/29586?\nAnswer: 325446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m**5 + 7*m**4 - 25*m**3 - 388*m wrt m.\nAnswer: 160*m**3 + 84*m**2 - 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2396576, 4793204, 7189900, 9586670, 11983520, 14380456, 16777484?\nAnswer: 19174610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10427343*v**3 + 2*v + 56537628 wrt v.\nAnswer: -62564058*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1029668*z**3 - 1029636*z**3 - 2*z + 6*z - 4*z.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*r + 5*v, 5*r = 2*r + v + 31. Suppose -4*a = 2*a - r. Suppose 434 - 8 = a*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579662 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9765693 months in years?\nAnswer: 0.081380775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (68069\/(-4))\/((-8)\/32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 4*m + 12546 = -7*w, 4*m = -4*w + 16756. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**22)**(4\/23) assuming u is positive.\nAnswer: u**(88\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 v when three letters picked without replacement from {v: 4, c: 10, t: 3, f: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276365*d + 2 + 276365*d - 259*d**2.\nAnswer: -259*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - u - 65 = 0, n + 10*u = 15*u + 19. Suppose 2*f + 2*f - 264 = 0. What is the remainder when f is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30146837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222122011002 (base 3) in base 5?\nAnswer: -232240302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 10. Let l be (-3)\/(-18) + 21\/(-18). Let w be (-1 + l)*(-42)\/p. What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2, -9, 17, -170 in increasing order.\nAnswer: -170, -9, -2, -2\/13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = -8*c. Suppose c*t = -5*y - 6, 0 = t + 4*y - 8 + 17. Suppose t = -k - 37. Sort 5, 4, k.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - 2*w**3 + 8*w - 22*w - 10 + 9*w to d*w + h + g*w**2 + q*w**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 245442968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 3*g. Suppose -135*w = -155*w + 60. Calculate x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 1. Let c(f) = 70*f**2 + 63. Determine 2*c(j) + 126*u(j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, l: 4, f: 1}. Give prob of picking 1 f and 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + (0 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 7. Let a be (-6)\/(-6)*(-2 - p). Let t(r) = 4*r + 11. Is t(a) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49942, 99886, 149828, 199768, 249706, 299642, 349576?\nAnswer: 399508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22b + 5f41?\nAnswer: 616c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-8) - (60\/50 + 1). Which is the nearest to 39? (a) v (b) -2\/15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*p**4 + 5*p**3 - 6*p**2 + 44*p.\nAnswer: -192*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 32.9. Let w = -3 - -2. What is the nearest to u in 1\/4, w, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -627, -934, -1237, -1536?\nAnswer: -1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42033 (b) 3 (c) -2\/9 (d) 0.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10 and -71\/116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 - 2*i - 1. Let j be y(3). Is (-562)\/(-16) - j\/88 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1812c + 15?\nAnswer: -18117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4149\/11 + -377. What is the closest to f in -1, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + 0. Suppose -s + 4*n = -28, -s + n - 56 = -6*s. Suppose 3*a = 5*g + s, 5*a + 5*g - 3 - 57 = 0. Calculate the highest common factor of c and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8997 - -7960. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(18 + 0 + 0)*(40*a**2 + 1785 - 1785).\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 162 = 171 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/((70\/(-8))\/(-35)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {l: 2, a: 7, f: 2, u: 1}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 4) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 1)\/(0 + -2). Let j(i) = -3 - i**2 + 5 + s + 4*i**2 - 5*i. What are the prime factors of j(5)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 461214 + -5?\nAnswer: 461206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*n - 4222 + 4204, -3*o - 5*n = -38 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w = -77*w + 90 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5, -2, 2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-3)\/3)\/((-4)\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 263607.54 months in centuries?\nAnswer: 219.67295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 l when four letters picked without replacement from {z: 3, l: 11, u: 1}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 35\/44?\nAnswer: 35\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 2033377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100 (base 3) in base 15?\nAnswer: -d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/9 + 404*k**2\/9 - 4096*k + 78912 = 0.\nAnswer: -274, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11294.22 and -0.9.\nAnswer: -10164.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 62*j**2 + 175*j - 3311. What is the tens digit of l(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-299)\/138 - -18 - (-1)\/6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 1.6 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 204 = -58*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 22 = -62. Let h be 0 - 6\/9*n. Let w(f) = 7*f**2 - 2*f + 4. Let y be w(2). Calculate the highest common factor of h and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 1080*m - 58320.\nAnswer: -5*(m + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353668 divided by 1190.\nAnswer: -1486\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*x + 3 = 90*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -86\/698741 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 38755.8.\nAnswer: -31004.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 450\/41, -2, 5, 0.02 in decreasing order.\nAnswer: 450\/41, 5, 0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -159 and -174 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304 - 86) + (-160 - -55).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51249*n - 52 = 51253*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 7688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 2 - (-196)\/1104. Let w = g + -1\/92. Let t = -23\/10 - -14\/5. Which is the smallest value? (a) t (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, -16, 0.03, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p. Let j(v) = 9*v. Let r(a) = 3*c(a) - 5*j(a). Let x(o) = 26*o. Determine x(r(t)).\nAnswer: 78*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013230110 (base 4) to base 10.\nAnswer: 293652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 9*x**2 + 13*x - 9. Determine c(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a*a\/(a*a**2)*a*a)\/a*a))**(-14)*(a**(-14)\/a)\/(a**(3\/2)\/a))**(-41) assuming a is positive.\nAnswer: a**(-1025\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*x - 6*x - 1 = 0, -2*x = w. Solve -3 = -c - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*t**3 - 45\/2*t**2 - 2457\/4*t - 4563.\nAnswer: -(t + 12)*(t + 39)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Suppose -2*t = h*t. Which is the third smallest value? (a) -5 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83997?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 238018277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(1\/2)))**46*n**(-3\/4)\/(n**(2\/7)*n) assuming n is positive.\nAnswer: n**(587\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 90*g**3 - 3*g**2 - 2*g + 1. Determine l(-1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436644129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h. Let p(a) be the third derivative of 32*a**5\/5 - 21*a**2 - 20. What is p(i(q))?\nAnswer: 3456*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 38 (c) 12641\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 1, g: 1, a: 1, l: 1, n: 1}. Give prob of picking 1 c, 1 n, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93920048 to the power of 1\/2, to the nearest integer?\nAnswer: 9691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.505206 rounded to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/8)\/((-14)\/16). What is the closest to -2\/5 in -0.019, c, 4\/3?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488307.\nAnswer: 3, 139, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*i - 36 = 0. Let p be (-14)\/(-21) - (-8)\/i. Suppose -5*d + d - 4*x + 264 = 0, p*d - 102 = 4*x. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 54220*f - 4198740.\nAnswer: -5*(f - 10766)*(f - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -3\/156453140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*m - 69 = 4*a - 153*m, -2*a + 5*a + 48*m + 288 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10000639*k**3 - 2951779*k**2?\nAnswer: -60003834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 2*v**2 - 2*v + 2. Let y be u(4). Suppose 0*b = 5*b - y. Calculate the lowest common multiple of b and (9\/(-12))\/((-4)\/32).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 1380?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.603 * -21441.\nAnswer: -77251.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**3\/3 + 2*p**2 + p - 4. Let u be n(4). Suppose -3 + u = -b. Solve -b + 7 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 58 - 40) + 18\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-1\/4)*x)**(-3\/4))**(-2\/15) assuming x is positive.\nAnswer: x**(11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2, -6, -36, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450684.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 3:16 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43340 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1505012 * 2\nAnswer: -3010024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4443)\/2 + (-2)\/12*-9. Let s = -265 + q. Let i = s + 5442. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48938, 97913, 146900, 195905, 244934, 293993?\n\"Answer: n**3 + 48968*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(sqrt(612) + 0 + sqrt(612)))**2 + -2.\nAnswer: 88126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103 or 497964?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306505 is divided by 408?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*k - 248816 = -3350*k - 74567 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:18 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/35 at most as big as -854109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**(-49)*(p\/p**(1\/2))\/p*p**(4\/5))\/((p*p\/p**(1\/4))**(8\/11))**16 assuming p is positive.\nAnswer: p**(244\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 422 + -396. Let n(v) = -v**2 + 28*v - 57. Let x be n(c). Sort 45, 4, x, -2.\nAnswer: x, -2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2013 and 288123.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(22\/33). Which is greater: 1\/15 or b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20582 * 11.\nAnswer: -226402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 152550088, 305100178, 457650268, 610200358, 762750448, 915300538?\n\"Answer: 152550090*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - h**2 - 5*h**2 + 0*h. Suppose 7*t = -5*t + 108. Let j(b) be the third derivative of -13*b**5\/60 + 7*b**4\/24 - b**2. Calculate t*k(q) - 4*j(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/81 in 4\/7, -1.9, -0.0526?\nAnswer: -0.0526","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 588 = -67*q + 26*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 5234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 13, -2 in decreasing order.\nAnswer: 13, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zog when three letters picked without replacement from {q: 1, g: 1, b: 1, o: 2, s: 1, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 151541003 (base 7) in base 12?\nAnswer: 3469632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least as big as -175164\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 726. Give f(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5119 at most 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 300*i. Let a(h) = -20*h. Give s(a(p)).\nAnswer: -6000*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -625.7 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 223 and -0.075.\nAnswer: -16.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 12*m - 2. Let a be y(11). Let d be (-56)\/(-12) + 12\/a. Suppose -r + 4*u - 3*u + 3 = 0, 2*r - d = 3*u. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/97, -1, -59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*r + 65, -a - 45 = -5*r - 2*a. Factor -42*c - r*c**2 - 3*c**3 + 37*c - 2*c**3.\nAnswer: -5*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121020\/7 + -17224. Let j = y + -64. Factor -8\/7*v**2 + 10\/7*v + 2\/7*v**3 - j.\nAnswer: 2*(v - 2)*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:13 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/15 - 4*v**4\/15 - 2*v**3 + 24*v**2\/5.\nAnswer: 2*v**2*(v - 3)**2*(v + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6354 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 1508727*v - 1508730.\nAnswer: 3*(v - 1)*(v + 502910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9057131 = 175*v - 9040856 for v.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + 3d?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*204\/(-306)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**2 - m - 3. What are the prime factors of s(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2*p**2 + 142*p**3 + 7.\nAnswer: 142*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (2\/(-10) - 11664\/405).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - q + 12 = 0, 2 + 2 = 4*i - q. Solve 2*z - 20 = -i*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 3*q + q)*(24 - 10 - 12)*(9 - 9 - 7*q) to a*q**2 + b + d*q and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -1\/9 (b) -9 (c) -4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s + 3*n = 15, 2*n - 10 = 4*s. Solve 3*g + 5 - 17 = s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1925.981 micrograms to milligrams.\nAnswer: 1.925981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*q + 47, 78*b = 83*b - 2*q + 1. Let m(u) = u**3 - 2*u**2 - 3 + 4*u**3 + 0. Let j(t) = -1. Determine b*j(i) + m(i).\nAnswer: 5*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = s + 5, -s = 2*s + 9. Suppose -g + h*g + 1 = 0, 3*o - g = 1. Suppose o = 2*m - 4*m - 2*a + 4, 5*a = 0. Put m, 2\/5, 5 in increasing order.\nAnswer: 2\/5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/34? (a) -0.5 (b) -5 (c) 5 (d) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.894? (a) 1\/7 (b) 4 (c) 0.4 (d) 3\/4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186335727 less than 186335727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vln when three letters picked without replacement from {k: 2, v: 1, e: 1, l: 1, j: 1, n: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 28. Let q be v(9). What is the smallest value in 0.04, 2\/15, q, 7\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161490 divided by -161490.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130216 is divided by 1342.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*r - 4741, -4*y + r = -4*r - 18994. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1993*o**5 + 2*o**4*y + 39*o**3 - 32*o*y - 1225*o wrt o?\nAnswer: 39860*o**3 + 24*o**2*y + 234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4044 + -3909. What is the smallest common multiple of 6 and j?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i**2 - 5*i - i**3 + 0*i - 5 - 4*i. Let a be u(-8). Suppose 3*s - 6 = a. Let n(c) = c - 1. Give n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 9:19 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2 - (2 + -2)). Let b = v + 2. Suppose -f = -6, 2*f - 6 - 2 = i. Put -3, 10, i, b in descending order.\nAnswer: 10, i, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8589263 years to centuries.\nAnswer: 0.008589263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63\/14 + 6\/4. Solve 4*u = 2*d - c, -2*d = 2*d + 2*u - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4\/2 - 7*l**3\/3 + l**2\/2 - 10*l + 43. Let v be n(-4). Solve v*k + t = -5, 4*t = k - 1 + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*a - 2)*(-33 + 9 - 25) + (0*a - a - a)*(1 - 4 + 2).\nAnswer: 100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 57*b**2 + 152*b + 152. Let q be j(51). What is q rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*k - 17*o + 20*o, 14*k + 74 = -4*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 263 = 58. Suppose -4*w + 81 - v = 0. Do w and -31 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 54*t - 331. Give i(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 538555286 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a milligram in micrograms?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 36\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39963764 to the nearest integer?\nAnswer: 6322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 28343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 5*a - 2. Let t be j(-3). Suppose -t*y + 1 + 1 = 3*x, -3*y - 3*x = 0. Solve -9*l + 3*l**3 - 2*l**2 - 6 + 0 + 2*l**y = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-1 - 2))\/(-2). Suppose 5*q + 13 + 42 = k. Sort q, -5\/3, -3\/8 in increasing order.\nAnswer: q, -5\/3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12650\/(-66))\/((-3)\/(-2)). Let s = -128 - d. Is -1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(-1 + sqrt(2299) + sqrt(2299) + (sqrt(2299) + 3*(-1 + sqrt(2299)))**2).\nAnswer: -2420*sqrt(19) + 367920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let t be 0 + -4*(-1 - 0). Let d(w) = -2*w + t*w - w + 7*w. Determine d(x(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:24 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-111)\/(-21) + -12*7\/294)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n. Let g(w) = -12*w**2. Give y(g(p)).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s + 44*s - 92*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 31818 = -2*t, 0 = 5*t + 12*n - 11*n - 79591. Suppose -7*g = -t - 29728. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 31, -22, 3, 10, 4 in increasing order.\nAnswer: -22, -2, 3, 4, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -47. Suppose 4*q + f = 3*l + q, 2*l - 30 = -5*q. Calculate the remainder when 39 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77589\/4 bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 17. Let k be j(10). Sort k, 4, 10 in ascending order.\nAnswer: k, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*q*z**2 + 146*q*z - 20877*q + 2*z**2 + 2*z wrt z?\nAnswer: 10*q*z + 146*q + 4*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**8\/560 - i**7\/140 - i**6\/120 + 10*i**3\/3 - 1. Let x(c) be the third derivative of q(c). Let x(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171463 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3364 - 3363.999997669. Round j to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331 - 391. Let u be (o\/3)\/(-4) - (-2 - -1818007). What is u rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3171 (base 13) to base 11.\nAnswer: -516a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(-5)\/45*3846.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 777\/(-1998)*(7\/(-294))\/((-4)\/8)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-3 + -4 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2038555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-15))\/((-22)\/33).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r - 37. Let x be v(11). Let z = x - 9. Suppose 4*n + z = 2*t, 32 = 4*t + n - 8. Solve -2*w + t = 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013425 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6013.766 millennia in centuries?\nAnswer: 60137.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/171*-207 - 22)*(41 - -2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 19*p**2 - 2*p + 41. Let r be u(19). What is the second derivative of 7*q + r*q**4 + 2*q - q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + t + 4. Let p be i(3). Let q(x) = -x**3 - 2*x**2 + 6*x + 3. Let c be q(-4). Calculate the remainder when 20 is divided by c\/(p - (-4 + 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90.17 - -2.17. Let k = 39 + w. Let d = -49.0000166 - k. What is d rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/41)*g)\/g)\/(g**(-5\/9)\/g) assuming g is positive.\nAnswer: g**(592\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 + -5 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 - 31*g**2 + 60*g**2 + 6 + g**3 - 31*g**2 in the form z*g**3 + d + k*g**2 + a*g and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -32, -87, -204, -407, -720, -1167, -1772?\n\"Answer: -4*b**3 + 5*b**2 - 4*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((2 - 7) + (10 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2033*d = 2076*d - 731. Solve d*i - 10*i = 17*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17*(1 - 0) - 1. Let h(l) = l**2 + 7*l + 8. Let r be h(-7). Suppose -3*u = -r - m. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28063454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 7 + 15 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 168251 and 168252 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - -1) + (-4 - (15 - -6))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 15 = 12*k. Let r(w) = 3*w + 2 + 0 + 2*w**2 + 0*w. Is r(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, -3*d - 10 = -3*o + 4*o. Sort 5, d, 2, -5.\nAnswer: -5, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112859869?\nAnswer: 409, 275941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 19*p + 25*p - 22 = 0, 4*j - 55 = -p. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2. Let c be -13*(2\/2 + -11). Suppose -5*i + c + 40 = 0. Let n(a) = i*a - a**2 - 34*a. What is m(n(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h - 4*j, h + 5 = 5*h - j. Let o be 2\/5 + 103\/5. Find the third derivative of 15*i**4 - 21*i + o*i + h*i**2 + i**2 wrt i.\nAnswer: 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - 7*m**2 - 17*m + 31*m - 3*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 + 801\/4. Suppose -23 = -4*n - 3. What is the nearest to a in 0.4, n, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312702, -625406, -938110, -1250814, -1563518?\nAnswer: -1876222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**6\/180 + 2*t**3 + 7. Let p(f) be the third derivative of q(f). Let z(a) = -10*a. Give p(z(k)).\nAnswer: -200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -39. Let h = y + 18.2. Let k = 1.793 + h. What is k rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*(g\/g**6)\/g*g))\/(g\/g**8))\/(g**(-7)\/(g**5*g))*(g**(9\/2)*g*g*g**(-9))**(-2\/35) assuming g is positive.\nAnswer: g**(169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14489515, -14489512, -14489509, -14489506?\nAnswer: -14489503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 104. Let q(d) = -d**3 - 5*d**2 + 6*d + 18. Let r be q(-4). What is the lowest common multiple of 9 and m(r)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 9. Let k be o(-6). Suppose k = -a + 2*a. Let x = a - -7. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*k, 114 = m + m - 5*k. Suppose b + b = -6, m = d + 3*b. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g. Let x(p) = -2*p - 12. Let y be x(-7). Let z(u) = y*u**2 - 38*u + 38*u. Calculate f(z(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:49 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/1933 in 3\/2, -3, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v - 144 = 0. Let m = -516810\/11 - -1550497\/33. Find the common denominator of 1 - -23*(-2)\/v and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 399 - 394. Let q(z) = z**3 + 6*z**2 + z + 4. Let d be q(-5). Suppose -d - 1 = -i*b. Solve -15 - b = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in -0.3, -11042, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*z = -4089 - 6057 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2. Let t(n) = 3*n**2 + n - 2. Let h(v) = -v**3 - 5*v**2 - 4*v + 5. Let f(m) = 2*h(m) + 5*t(m). Determine 5*a(p) + f(p).\nAnswer: -2*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1\/(-2)*15. Suppose -2*l - 9 + c = 0. Suppose -5*a + 2*g + 52 = 0, -7 = l*a - g - 39. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 7*g - 21. Let t be g - -3 - -2 - 5 - -12. Suppose 18 = 5*h + 3. Solve 0 = -c + 2*u - t, -3*c - 23 = -u - h*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126006 (base 8) to base 4.\nAnswer: -22300012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 7. What is the greatest common divisor of r and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/24 - u**3\/6 + 9*u**2 + 7. Let g(v) = 2*v - 2. Let n = 16 - 22. Determine n*g(w) + 11*a(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.62 or 2\/3?\nAnswer: -3.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28432, -28311, -27948, -27211, -25968, -24087?\n\"Answer: 22*c**3 - 11*c**2 - 28443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26931 = 11*q - 6586. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/301 - 309\/1204. What is the closest to z in -6, 2, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 t when three letters picked without replacement from hwhtffztwtafftftawff?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489163?\nAnswer: 163, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51307765*q + 15837797?\nAnswer: -51307765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 376, 325, 222, 49, -212?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -1\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 57*u - 287. What is v(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgttbrjtjjb. What is prob of picking 4 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*s + 1813 - 2546 - 2459 = 0 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3894*s - 61679. Calculate c(16).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 7 (c) 3 (d) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*c + 2*c = 89710, -5*c = 3*g - 89740. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2 - 2 + 2*b + 0*b + 2*b + 0*b + (-3*b + b + 3*b)*(1 - 4 + 2))*(-6 + 2 + 1).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187996, -376391, -564786?\nAnswer: -753181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84464747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(130) - sqrt(130)))\/(sqrt(20)\/sqrt(32) - sqrt(10)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 296, 405, 482, 521, 516?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.017 + -0.022. Suppose 166*i - 256 = -69 + 643. Which is the nearest to w? (a) 1 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90430094.\nAnswer: 2, 1049, 43103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2 - 2*z - 3. Let a(t) = -6*t**2 + 0 - 2*t - 6 + 2. Let u = -25 + 26. Let i(r) = -3*r**2 + r - 1. Let p be i(u). Calculate p*a(v) + 4*n(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-88)\/16 + 6)\/(-5 + (-124)\/(-24)). Let c(y) = 10*y**2 + y - 2. Let h(l) = 9*l**2 + 2*l - 3. Calculate m*c(z) - 2*h(z).\nAnswer: 12*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*w + 5*w**2 + 53*w + 15*w**2 + 27*w**2 to k + p*w**2 + h*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -13*l**3\/6 - 13*l**2 + 18*l. Differentiate b(o) with respect to o.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1458264 + 1146674.\nAnswer: -311590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -64176 divided by 258?\nAnswer: -10696\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -9*r + 2366. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + (-3)\/15. Suppose 0 = -n*p + 3*p + 3. Is (1 - p) + 4 + -2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*z**5 + 171*z**4 - 3*z**3 - 283317*z.\nAnswer: -1520*z**3 + 2052*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 982851\/5719 + -2 + (-3)\/21*-15?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(76)*-1 - sqrt(76))*-5)**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2674 + -2673.8. What is the smallest value in 0, 0.6, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4723904*t. Let s(o) = -46*o**2. Give n(s(u)).\nAnswer: 217299584*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*m = -18, 0*b - m - 27 = 3*b. Let f be -186*(6000\/b)\/4. What is f rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zirx when four letters picked without replacement from {x: 6, r: 1, a: 1, z: 2, i: 3}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-6\/11)))\/(d*(d**(5\/9)\/d*d)\/d))\/(((d**(-1\/2)\/d)\/d*d)\/(d*d**(11\/5))) assuming d is positive.\nAnswer: d**(4643\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from eleueuequlee?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253332959?\nAnswer: 11, 1087, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 96*d**2 + 18*d**3 - 34*d**2 - 30*d**2 - 4*d - 37*d**2 - 17*d**3 + 8. Determine t(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyppypppypp. What is prob of picking 3 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13243 (base 5) in base 15?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/13 + 42*p**4 - 1076*p**3\/13 - 168*p**2 + 4336*p\/13 = 0.\nAnswer: -2, 0, 2, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1552258, -6209207, -13970786, -24836995, -38807834?\nAnswer: -55883303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631899 is divided by 52640.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11950, 11866, 11726, 11530, 11278?\nAnswer: 10970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**9\/15120 - n**6\/720 + n**4\/6 - 2*n. Let t(d) be the third derivative of g(d). Find the second derivative of t(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q - 42 = 0. Let s = q - -29. Suppose 3*c - 2*b - 10 = s, -4*c = -5*b - 24. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -187 - -23?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57278755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:08 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -53*z**3 - 13*z**2 - 13*z - 100. Is d(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/6 - c**3 + 3*c**2\/2 + 151*c. Let q(a) = -a + 1. Give -4*q(x) + z(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -8.9999985. Let h = n - 0. Round h to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-3 + 5)*-1. Solve 0 = -g + z + 5, m*z - 2*z - 5 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 203\/3225240 and -113\/1860?\nAnswer: 3225240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.086, -65, -1, 2\/7 in increasing order.\nAnswer: -65, -1, -0.086, 2\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/21 and (((-1628)\/16)\/11*-8)\/(-81)?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 16) to base 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-315)\/(-450))\/(8\/320)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5125 greater than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/10*(-15)\/6. Suppose 0 = 5*c - d - m, 2*d = -4*c - 2*d + 8. Find the second derivative of 7*z + 7*z**c + 9*z**3 - 4*z wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (6 - (7 + -3 + 2 + -10))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-6)\/((-540)\/9))\/1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 + 0 + -7. Let k(o) be the first derivative of o**4\/4 + 2*o**3 + 3*o - 37. Let t be k(v). Solve 3 + 0 = n + t*m, 3*n - 4 = -4*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 + 14 - -18) + -3 - -20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638915 divided by 6?\nAnswer: 546305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 21\/9)\/((-5332)\/(-3999))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 129591.45 months?\nAnswer: 1079.92875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -376 - -389. Sort 1, -5, p in increasing order.\nAnswer: -5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p, -2*m - m = -p + 19. Let x(q) = 77*q - 68. Let y(z) = -26*z + 23. Let f(i) = m*x(i) - 17*y(i). Let u(k) = -7*k + 6. Calculate 6*f(t) - 17*u(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -538.5920056188\nAnswer: 539.0920056188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * -0.017.\nAnswer: 0.00221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose x*y + 7 = 3*y. What is the remainder when y is divided by 16\/(-12)*(-6)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 267*g**2 + 22*g + 32. Let z(i) = 286*i**2 + 21*i + 33. Let q(j) = 5*n(j) - 6*z(j). Find the second derivative of q(s) wrt s.\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4 - 2798.\nAnswer: -2793.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53510 and 32?\nAnswer: 856160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 73 + 33)*(10*u - 72 + 72) to the form y*u + s and give y.\nAnswer: 1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1296900 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let b(w) = -w**2 + 367. What is u(b(d))?\nAnswer: d**2 - 367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 77*y - 26.\nAnswer: (y + 26)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 2. Suppose 4 = 5*q - 11. Let l(h) = 3*h - 3. What is q*m(t) + 2*l(t)?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6 = -2*v + y, -4*v = 3*y - 26. What is the least common multiple of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10065 (base 7) in base 3?\nAnswer: 10100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 64 = 2866*g - 2871*g, 4*g + 82 = -5*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52018859 is divided by 1106783?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 4933.\nAnswer: -98.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.32 * -0.05.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 11*b - 18. Suppose 5*t - 28 = z, b*t + t = -2*z + 28. Let r(v) = -2*v**3 + 11*v**2 + 10*v - 7. What is the units digit of r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 109. Suppose 0*n = 2*n - w. Suppose -4*o - n = -2*s, s + 4 - 2 = -5*o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079193 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:41 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-10)*(-10)\/4. Let w = r + 2. Solve 6 - 14 = 4*u, -w = -3*c + u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117207663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1176, 2493, 3810, 5127, 6444?\n\"Answer: 1317*i - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/291892 and -71\/4670272.\nAnswer: 4670272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**(2\/3)\/j)\/j)\/j)\/j*j)**(2\/19)*(j**(2\/3)*j)**(-23))**11 assuming j is positive.\nAnswer: j**(-8041\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1757986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-4)*(-678)\/5. Suppose 2*p + 3*o = i, 0 = 4*p + 4*o - 0*o - 688. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -997, -1008, -1037, -1090, -1173, -1292?\n\"Answer: -w**3 - 3*w**2 + 5*w - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 58 = -2. Let f(q) = -2*q - 22. Let u be f(d). Suppose 5*h + 12 = u*h. Let o(j) = j**3 + 4*j**2 + 1. Determine o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 + 5 = 0, -4*f - 4*z + 116 = 0. Suppose 0 = -4*y + 30 + 14. What is the remainder when f is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 309 - 371 + 620 = 0 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 + -171. Suppose -8*d + y = -i*d + 5, -2*d = -y + 2. Which is smaller: d or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1 + (-58)\/(-2). Suppose 4 = 5*d - c. What is the highest common factor of 24 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0 - 2. Let i = -20376\/55 - -5558\/15. Put i, s, 3 in descending order.\nAnswer: 3, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 44 = -30. Sort i, 5, -1, 0 in ascending order.\nAnswer: i, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -1520.\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.14 + -593.14. Let i = 510.6 + u. Round i to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**3\/3 - 7*q**2\/2 + q. Let x = 6 - 2. Let a(b) = x + 2 - 2*b + 2*b + 2*b. Determine -6*a(r) - 5*z(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -16782408973.\nAnswer: -16782408976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -34\nAnswer: -91\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/3 + 5*k. Let b(j) = -9*j**2. Determine b(n(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1553 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -11*m + 876. Let c = m - 82. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9181\/590 and 15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5176 - 2599 - 2693 + 4*r to the form i + o*r and give i.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1391.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i + 158. Let l(f) = f. Give -k(s) - 5*l(s).\nAnswer: -2*s - 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 15 + 10. Let a be 0\/2 - o*(-4 - -5). Let t(r) = -6*r. Determine t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-2)\/(3 + -1). What is the units digit of 1 + -2 - t - -73?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29998186 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4\/(-5))*(-2)\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i - 10. Let l be j(-3). Solve -3 = -l*x - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -994326\/1207 - -26640\/71. Is l >= -450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 34. Let v be 42\/q + 2\/4. Let s be (6\/9)\/(5\/30). Calculate the greatest common divisor of s and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 120.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.1 (c) 1836507 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(168)*-2)\/sqrt(7))\/(((sqrt(88) - 4*sqrt(88)) + sqrt(88) - sqrt(88) - sqrt(88))\/sqrt(11)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 16659740.\nAnswer: 16659739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 38*g + 63. Let x be k(-40). Which is greater: x or -22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 3*sqrt(51)\/sqrt(3))*3.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 1, -24, -28, -3 in descending order.\nAnswer: 17, 3, 1, -3, -24, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -7*k**4\/24 + 145*k**3\/6 + 59*k**2 + 2*k. Let t be n(20). Solve -c + 1 = -2*u - 2, 0 = -t*c + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 16*o**2 - 9*o - 5. Let b be l(9). Let w = 80 - b. Solve -2*h + 8 = -w*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 426 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 7*c**2 - 5*c + 6. Calculate w(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11042 = l, 2*y - 4*l = 7*y - 18415. Round y to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122599, 127867, 133135, 138403, 143671?\nAnswer: 148939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201012211211 (base 3) to base 7.\nAnswer: -3133510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8))\/(1\/44). Let w = -13 - x. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -167, -160, -143, -110, -55, 28?\n\"Answer: g**3 - g**2 + 3*g - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvrvvvvvvrv. What is prob of sequence vv?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/144 and -109\/1740.\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 82, 182, 322, 502, 722, 982?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3687, -20662, -50923, -94470?\n\"Answer: -6643*d**2 + 2954*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-30) - (-66)\/15. Let h(n) = n**2 - 6*n + 8. Let x be h(5). Solve p = x*w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 9. Let t = 761 - 772. Let v(i) = -7*i - 17. What is t*d(k) - 6*v(k)?\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**3*y**2 - 3084*l**3 + 2032*l**2*y**2 - l*y**2 - y**2 wrt l.\nAnswer: -30*y**2 - 18504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 21 = p, 79 = 4*p + 9*q - 12*q. What is the remainder when 2\/13 + (-17046)\/(-234) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 8. Suppose 4*s + 44 = 2*r - 0*s, -4*r - 5*s + 101 = 0. Suppose -17*t = -20*t + r. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 10001002?\nAnswer: 10000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 6*w**2 + 7*w - 11. Let f(q) = q**3 + 3*q**2 + 4*q - 6. Calculate -11*f(s) + 6*y(s).\nAnswer: s**3 + 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7607, -30441, -68465, -121649, -189963, -273377, -371861, -485385?\n\"Answer: 5*j**3 - 7625*j**2 + 6*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let v be 9\/3 + (1 - o). Factor z**2 + 4 + 0*z - v*z**2 + 2*z.\nAnswer: -2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10482276 and 142616.\nAnswer: 20964552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*i - 13, 0 = -2*y - 0 - 2. Suppose 0*q = -4*u + q + 20, 0 = 3*u - 2*q - 10. Let a(o) = -i + 5*o + 4*o - u*o. Determine a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145305196 and 1450?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2 - 11. Let h be -1 + ((-7910)\/8)\/7*-4. Suppose -2*o + x + 363 = 0, h = -0*o + r*o + 5*x. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13914*q**4 - 3*q**2 + 3*q - 96 wrt q?\nAnswer: -333936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -12. Let m be d\/(-36) - (-76)\/(-18). Put 5, m, 4 in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 11*y = -216 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-342)\/(-16) - 9\/24)*1. Let m be ((-17)\/(119\/j))\/(6\/4). Let g(f) = -f + 1. Let p(c) = -12*c + 6. Determine m*p(d) + 22*g(d).\nAnswer: 2*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -11. Solve -10 = -z*j, 5*j = 2*m - 0*j + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 3, r: 4, m: 1, y: 1}. What is prob of sequence yv?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 87000 (base 9) to base 12\nAnswer: 293b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6*(-11 - (-2541)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 4*j - 4. Let i(h) = 0 + 0*h - 2*h - 4. Suppose 2*k - 4 = -0*k. Let t(f) = f + 3. Let g(a) = k*i(a) + 3*t(a). Give -b(n) - 6*g(n).\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 813442789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 25*m**2. Let t be q(1). Suppose j = 6*j - t. Suppose j*n - 3*n - 8 = 0. Solve 3*w + 2 = -n*f + 1, -4*w = f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 449403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(3 + 15*f - 6*f - 2).\nAnswer: 18*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 = -4*c + 525. Solve -c = 3*r - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqvvqqqvqvvqqqqqqq. Give prob of picking 2 q.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (484*a - 197*a - 152*a)*(4 + 0 - 3).\nAnswer: 135*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -123.18 from 4.\nAnswer: 127.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 - 3279994*u**2\/7 + 937142*u - 3279998\/7.\nAnswer: -2*(u - 1)**2*(u + 1639999)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 0. Let j be n - 4\/(-24)*-4. What is the nearest to j in -3\/4, 3, -4\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3\/8, -10.12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.531052 decades to months.\nAnswer: 783.72624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t**3\/7 + 159*t**2\/7 + 129*t\/7 - 12 = 0. Calculate t.\nAnswer: -1, 4\/9, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, 5.158, -3\/8 in descending order.\nAnswer: 5.158, 8\/9, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**6\/360 + n**5\/30 - n**3 + 4. Let v(q) be the third derivative of u(q). Let x be v(4). Put -2, 1, x in decreasing order.\nAnswer: 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -16\/54901, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0. Let v = 0.1 + f. Let m = -51\/5 - -551\/55. Is m not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from oolxpplg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 3*s + 81 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*z + 28851 = -28716, 5*a - 3*z - 95955 = 0. What are the prime factors of a?\nAnswer: 2, 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 6*b**2 + 2*b - 9. Suppose -6*v + 10 = -14. Let y be (1 - 2\/1)*-18. Let c be (y\/v)\/((-15)\/(-20)). What is p(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + 2.8. Let s = z - 3.2. Let c = s + -0.8. Which is smaller: -0.01 or c?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, k: 5, r: 2}. What is prob of picking 3 w?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e2 - -268?\nAnswer: 94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 406*a - 388*a + 72 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7056715139.\nAnswer: 59221, 119159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkmiimkkmmkikuikk. What is prob of picking 1 m and 1 u?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by 1556.\nAnswer: 127\/1556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -119652 and 0.03.\nAnswer: -119651.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5\/(-560)*-8*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.3 + -37.3. Let d = -0.18 - 6.82. Which is the nearest to w? (a) d (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(182\/21 + -3). Suppose 5844 = a*u - 5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7)*-4*1. Let g = 284 - 308. Let u = -23.6 - g. Which is the second smallest value? (a) k (b) -1.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15*n = 255, n - 21 + 206 = 4*c. Let r be 0 + 2\/(-2) - -32. Let q = r + -1. What is the greatest common divisor of q and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 14, 0.\nAnswer: 0, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-1) - 6\/3. Let a(n) = n**3 + 8*n**2 + 7*n - 6. Let u be a(j). Let g(r) = -r**2 - 8*r - 4. What are the prime factors of g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 1, c: 7}. Give prob of sequence ccq.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1014020404 (base 5) to base 10.\nAnswer: -2095104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -62*v**2 - 352*v. Does 30 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12000202?\nAnswer: -12000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2718394983.\nAnswer: 3, 8521, 35447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 494*j**2 + 91*j - 91. Let n(z) = 11*z**2 + 2*z - 2. Let q(i) = -4*l(i) + 182*n(i). What is q(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + 2*b**2 - 5*b**2)*(-2*b**2 + 4*b**2 - b**2)*(3 - 4 - 5)*(0 + 1 + 1).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 429190602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i = -56*i + 120. Let j be (3 + -2)\/((-2)\/(-6)). Solve -m = -j*d + 19 - 4, -i = 5*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 183 = 3*p + 86, 0 = -4*w + p + 229. What is the remainder when 990 is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.08, -6, -4\/3, 2.\nAnswer: -6, -4\/3, -0.2, -0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -781938 by -1.\nAnswer: 781938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32094402 rounded to 4 dps?\nAnswer: 0.3209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1136\/5841 - -18\/649. What is the closest to 4\/47 in -2\/7, -1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t - 60 = 0. Let v = 42 + t. Is 31 a factor of (-4 - 2)\/(v\/(-88))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from nog?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 440 + -288. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4 - 4. Suppose 0 = -j + r. Find the second derivative of 7*h**3 - j*h - h + 5*h wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2017*g**2*t**2 - 47*g**2 - 21*t wrt t.\nAnswer: 4034*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1414859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -105223\nAnswer: -105221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1590)\/(-1855))\/(176\/(-28) + 0)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(-5*a**2 - 77*a + 77*a)*(-6*a**2 + 4*a**2 + 4*a**2).\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 9909.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535893936 divided by -22328914.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 13441.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 1, h: 1, b: 1, n: 1, p: 8}. Give prob of sequence vpha.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 + 210263454*g + 3684226674000843 = 0.\nAnswer: -35043909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 4\/3*f**3 + 1\/20*f**5 + 0 - 8*f**2 + 0*f + 0*f**4. What is the derivative of n(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/6))\/(w*w**20))\/((w**25*w)\/((w**(2\/21)*w*w)\/w*w)))**(-2\/5) assuming w is positive.\nAnswer: w**(1837\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 16*s**2 + 2*s + 35. Let x be w(-16). Suppose 4*v + x*z - 8*z = 168, 5*z = -5*v + 210. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.5, 0, -1\/8, -6170?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3594 = -2*y, 4*l = 3*y + 1353 + 1536. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Suppose 3*z + 1 - 7 = w. What is the derivative of 2 + z*m**2 + 7*m**2 - 4*m**2 - 4 wrt m?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 44*o + 40 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -17. Is (2*(-2)\/s)\/(8\/47384) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9 + -101 + 85 + -4 + (17 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2217308 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let i(z) = -14*z - 2 + 4 + d. Let l be i(-5). Calculate the greatest common factor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3033*u + 4. Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 6*a**2 + 2*a - 8. Let q be y(6). Let v be (-3 - 0) + (-1)\/(-1). Let r be (1\/v)\/((-2)\/40). What is the highest common factor of q and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4509, 4510, 4511, 4512?\nAnswer: 4513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*z - 54*z - 1193 - 4135 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 467755667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -29. Suppose 5*b - 4*a - 1 = 6, -h*a - 5 = -3*b. Solve 0 = -j + 6 - b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55323.22 decades to centuries.\nAnswer: 5532.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-8))\/((-40)\/(-16) - 1). What is the biggest value in m, 0.5, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6855*l = -6899*l + 88 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/10582 and 63\/120250?\nAnswer: 1322750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -1459?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6037 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 688214604*u + 118409835289719204.\nAnswer: (u + 344107302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -296 + 295.5. Which is the nearest to 0? (a) 0 (b) -0.3 (c) m (d) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:26 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/45 and -51\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -15, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1198.1 - 1146. Let k = 52 - r. Which is the biggest value? (a) -0.2 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 + 245. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -16 - 3 + 0 + 7*w + 0. Let s be o(3). Factor -87*t**3 + 29*t + 190*t**s + 150*t**3 + 35*t**4 + 11*t + 122*t**3.\nAnswer: 5*t*(t + 1)*(t + 4)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8245*z**4 - 6869*z**2. Let p(a) = -5497*a**4 + 4579*a**2. Let x(f) = -7*p(f) - 5*y(f). What is the third derivative of x(l) wrt l?\nAnswer: -65904*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 266349746, 266349747, 266349748, 266349749?\n\"Answer: c + 266349745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 830 - 829.993884. Let d = -25.994 + 26. Let u = d - q. What is u rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 191903 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/120 and -109\/9360980.\nAnswer: 56165880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 157, 249, 357, 487?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 827 - 826.5. What is the third biggest value in -53, j, -3\/2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*w + 9, -5*w - 4*d = 5 + 5. Factor -w*u**3 - 73*u**5 - u**3 + 38*u**5 + 38*u**5.\nAnswer: 3*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.15 (b) -2 (c) -0.1 (d) 3\/14 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8*-4 + 4. Find the third derivative of -35 + 2*q**2 - 5*q**j + 10*q**5 + 35 wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 - 11*f - 11. What is the remainder when 25 is divided by i(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 537?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**3 - 3*o**2 - 2*o. Let i be v(-1). Let p(c) = -31*c + 25*c + 17*c. List the prime factors of p(i).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*n*x**2 + 45122*a**3*n*x + a**3*n + a**2*x**2 - 360*a**2*x + 35*a**2 + 2*n*x**2 - n wrt a?\nAnswer: -6*n*x**2 + 270732*n*x + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4111000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -64. Let k = 3 - w. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5086271 (base 10) to base 8.\nAnswer: 23316077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from oeiesi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*((-2*q**4 - 3 + 3)*(-1 + 1 - 4) - 2*q**4 + 6*q**4 - 3*q**4) to the form n*q**2 + c + m*q**4 + f*q**3 + t*q and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-9)*12\/(-252).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 30*q - 25*q. Let n be (-395)\/(-55) + 4 - q\/(-11). Solve -16*u + n*u = -20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l - 7. Let s(w) = 28*w + 16. Let m(y) = 16*d(y) + 7*s(y). Let b(g) = 93*g. Determine m(b(r)).\nAnswer: 372*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3632 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygggggggygggggyyyg. What is prob of picking 1 g and 1 y?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 736 + -732. Is n greater than or equal to 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 1. What is the smallest common multiple of (7 - 5)\/(2\/10) and q(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7147782 is divided by 145873.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*f - 88*f = 4*b + 268, 4*f - 4*b - 1132 = 0. What is the highest common factor of f and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/4*1*-5. Let s = n + 7. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121\/(-55) - -1)\/((-18)\/120)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4 - -1 - 2) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3937\/110 - -9\/22. Is m != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 105, 164, 225, 288, 353, 420?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:52 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -12*y + 69. Give w(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 618 + -450. Let f = y - 168.0000004. What is f rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/4)\/c*c)**(-4\/3)\/(c\/(c\/(c*c**2*c))*c*c\/(c*c**(-6\/11)\/c)))**(10\/11))**30 assuming c is positive.\nAnswer: c**(-24900\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8. Let v = 2 - w. Sort -3\/2, 2\/7, v in descending order.\nAnswer: v, 2\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-170 - 24*n**2 + n + 170)*(-1 - 3 - 1) as o*n**2 + a*n + w and give o.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m + 2*m + m - 13 + 4*m. Let q be y(-13). Let s be 8\/(4 - q)*1. What is the closest to 2\/3 in s, 4, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:25 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*h - 2425 + 1648 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-60)\/(-2970)*66 + 25550\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5935, -5697, -5457, -5215?\nAnswer: -4971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a - 17 - 3 + 0 + 0*a wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -2040?\nAnswer: 2039.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 49253*f - 49240*f + 9 + f**2 + 2 + 2*f**2 - 2 + (-3*f + f + f)*(-2*f - 2*f + 3*f) + 0*f + 0*f + f**2 in the form o + h*f + b*f**2 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3348)\/9240 + (-4)\/(-10). Let n = g + -6\/55. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 5*j = 126. Solve -8 = -j*k + 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/90 and 127\/2808.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 5*f - 6. Let a be t(5). Let i = 16 - 13. Suppose -2*y = 3*y + i*v + 26, 5*y = 2*v - 41. Are a and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 73 = 61. Suppose -a + 4*c - 10 = 0, -2 = r*a - 4*c - 4. Let o(z) = -z + 16. Calculate the remainder when o(0) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52795*g**3 + 186443*g**3 + 30137*g**3.\nAnswer: 269375*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 103, 190, 277?\n\"Answer: 87*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 38 = -14. Let h = 322 + -320. Sort v, 3, h in decreasing order.\nAnswer: 3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1654 - 1070. List the prime factors of b.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/410 and -40\/41.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 a factor of 171657774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1840*j**3 + 1841*j**3 - 3725*j**3.\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 1692\/11, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 8. Let b be m(-7). Let z = 3 + b. Let j(a) = 0 + 8*a**2 - 2*a**z + 0. Let r(i) = -i. Determine r(j(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(720) + 2)**2 + (sqrt(720) - -2*sqrt(720))**2 + 5)*3.\nAnswer: -129672 - 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2189405.\nAnswer: -1\/2189405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8837662 to the nearest integer?\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1334 divided by -1\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -473, -448, -403, -332, -229?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 7*q - 4*q to the form b*q + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*i + 1494 = 234*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*x**5 - 9*f**3*x**3 + 27*f**3*x wrt x.\nAnswer: -40*f**3*x**3 - 54*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001633869 rounded to 6 decimal places?\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) - 49\/35\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 62*f - 31 = 65*f, f - 1498 = 33*u + 5*f for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3248 or 3249?\nAnswer: 3248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*d + 304, -5*n = -2*d - n + 124. Let a = -54 + d. Let z(o) = o**2 - 6*o - 6. Calculate z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1174*m + 1176*m - 3527*m + 1182*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 9:49 AM?\nAnswer: 329","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Suppose 2*z - 12 = -t*b, -b - 4*b - 5*z = 0. Let m(g) = 6*g**3 - 2*g**2 + 3*g - 2. Let q be m(2). What is the highest common divisor of q and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 + 2 = -3*z. Let b be 3\/(-7) - (-4767)\/147. What is the greatest common divisor of b and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 9. Let t be (12\/24)\/((-1)\/y). Let i(l) = l**3 + 12*l**2 + 22*l + 8. Let j be i(t). Do -3 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -36. Let h be 14\/14*-1*f. Let w = 83 - h. What is the greatest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*q**5\/5 - 33*q**4 + 441*q**3\/5 + 726*q**2\/5 - 1476*q\/5 - 264\/5 = 0. Calculate q.\nAnswer: -11, -2, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16822 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*k**3 + 6*k**2 - 7*k**2 + 2*k**2 - k in the form g*k**2 + u*k**3 + i*k + n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2241709170 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 9:30 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:18 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhxhhhvhhxxhh. What is prob of picking 4 h?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7635, 15969, 24313, 32673, 41055?\n\"Answer: x**3 - x**2 + 8330*x - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkyyyyjjykyjkjj. Give prob of picking 3 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2546, -6058, -9570, -13082?\nAnswer: -16594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 w when three letters picked without replacement from wfggwfbwppbfggj.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1*(-11)\/(-2)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w + w**3)*(-2 + 1 - 1 - 3 - 1 + 2 + (-2 - 2 + 6)*(-1 + 1 - 1) - 18 + 11 - 12)*(-3 + 4 + 1).\nAnswer: -50*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 2. Let p be s(11). Let m(u) = -u**3 + 7*u**2. Let c(l) = -4*l**3 + 29*l**2 + l. Let n(w) = p*m(w) + 2*c(w). Determine n(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*z + 149*r - 144*r, -2 = 2*z + 4*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*p - 17, 4*w = -p - 4*p - 8. Suppose -3*u - 4 = -1, -2*l + w*u + 831 = 0. What are the prime factors of l?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13526.\nAnswer: 2, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2275165529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 166873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 - 17*f**3\/6 + 14*f**2 - 4*f. Let y be q(-11). Suppose -h + 100 = 2*a - y, 5*h = -5*a + 495. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*c + 528, u = 2*c - c + 104. Let j be (-7)\/(u\/(-6))*15. Suppose -3*d = -j*d - 3. Is 0 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (5 + (-2 - 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (1*sqrt(38))\/sqrt(2)))**2 + (-2*(-2 + sqrt(2736))**2 - 3*(sqrt(2736) + -1)).\nAnswer: -5270 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*d + 242 = 0, -3*l - d = -5*l + 227. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 30 = -l. Let a = 21 + l. Suppose -6*r - a = -29. Solve 4*o - 20 = 5*t, 5*o + r + 9 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(2\/4*-2))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.76559921 and 0.1.\nAnswer: 0.076559921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 1. Let f be r(1). Suppose -237 = -3*n - 228. What is the remainder when 11 is divided by (f - 2)*(-6)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.757508 rounded to 3 decimal places?\nAnswer: 1.758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g + 4. Sort g, 7, -2 in descending order.\nAnswer: 7, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3062147 and 847.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6168000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/31450 and -3\/22?\nAnswer: 345950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -39. Let r(k) = 15 + 17*k + k + j + 2*k**2 - 2*k. Let t be r(-10). Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4*o = -16, -1004*o = -2*s - 1005*o - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l - 4 + 4 + 41*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 0*r**2 - 93*r + 97*r - 5*r**2 + 4. Let u(y) = -9*y**2 + 7*y + 7. What is 7*m(q) - 4*u(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 14*t - 8. Give f(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.141 - 0.015. Let l = g - 0.026. Is 7 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - r. Let s = -5667 - -5664. Calculate i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 470964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 at most as big as 305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 58156 = -14748. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 96*k + 4. Give y(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - (sqrt(600)*2*4 + sqrt(600)))*-6)\/((sqrt(512) - 5*-2*sqrt(512))*-2).\nAnswer: -15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = 4*h - 40, 2*h + 90 = b - 3*b + 102 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515990 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -202.\nAnswer: -5\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i - 4. Let q be t(-5). Let m(l) = -2*l**2 - 2*l. Let o(g) = g**2 + g. Determine q*o(z) - m(z).\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1487596 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-6) - (-1)\/(-3). Let g = 1.90012 + -1.40012. What is the third biggest value in -51, s, g?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -18 + 3 - (-60 - (7 - -9))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 8. Let i be v(-4). Let p be (1\/9)\/((-10)\/i). Which is the closest to 1\/4? (a) p (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821905 = -80*w + 73935. List the prime factors of w.\nAnswer: 2, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1382, -1774, -2166, -2558, -2950, -3342?\n\"Answer: -392*k - 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -722036, -722035, -722034, -722033?\n\"Answer: y - 722037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**2 - 11*a + 3. Let l be (0 - (11 - 4))*1. Let p(t) = 17*t**2 + 23*t - 7. Let f(k) = l*h(k) - 3*p(k). Find the second derivative of f(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36127\/18 - 2014. What is the common denominator of -13\/2 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -2759, 6.\nAnswer: -2759, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 5. Suppose 19*u - l = 17*u. Suppose u*p = 221 + 25. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 11 + 18)*(2 - 1 - 3)*(6 - 256 + 35)*(-2*a - 4*a + 5*a).\nAnswer: -1720*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2\/4 - 2445*u\/2 - 4893\/4 = 0. Calculate u.\nAnswer: -1, 1631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 24 = 9*f. Solve -4*o + 2 = k, f*o + k - 5*k = 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from hhoow?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 + -7337?\nAnswer: -7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (981 + -966)*-1*(-3)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444 + 444 + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 118. What is the fourth biggest value in c, -1\/5, 4, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 366 + -211. Calculate the remainder when a is divided by 47.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 56088?\nAnswer: 1\/56088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34356581.\nAnswer: 7, 89, 55147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/11 - 30*k**4\/11 + 10*k**3 + 30*k**2\/11 - 112*k\/11 = 0.\nAnswer: -1, 0, 1, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4468 + -2730. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 2*m + 2*m)*(0*m**2 - m**2 - m**2) + m + 59*m**3 - 39*m**3 - 30*m**3.\nAnswer: -4*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46928309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19988 divided by 96.\nAnswer: -4997\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222021221211212 - -2?\nAnswer: 22222021221211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190\/3 + -176\/3. Let g = 4097 + -4102. What is the nearest to 1 in o, -3\/4, g?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 645202868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/167, 9, -0.2, -5, 4 in decreasing order.\nAnswer: 9, 4, 2\/167, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4740)\/158*(-1)\/1*(192\/(-30))\/8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1.3 (b) 0.1 (c) 1\/4 (d) -0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206\/819 - -4\/117. Let l = 0.3 + -1.3. What is the closest to 1 in -1\/2, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in 0.1, 1, 0, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from {o: 1, p: 1, f: 4, d: 1, a: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 3*d - 18. Calculate the remainder when 63 is divided by t(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 10*z + 189, -r - 4*z - 63 = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 11*y**4 - 1 + 0*y**4 + 4495*y**3 - 4495*y**3 to the form h*y**2 + l + t*y + c*y**4 + d*y**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1659120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -18*q. Let f(h) be the third derivative of -3\/8*h**4 + 28*h**2 + 0 + 0*h**3 + 0*h. Give w(f(i)).\nAnswer: 162*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 11. Let j be i(0). Suppose -25 - j = -2*v. List the prime factors of (-674)\/(-6) + v\/27.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57910 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v = -47*v - 30. Suppose v*s = 4*m - 2948, 2*s = s. List the prime factors of m.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*u = 34, -4*u - 17 = -5. Let p(r) = -r**3 + 6*r**2 + 3*r + 2. Let m be p(6). Suppose 4*n = h*n - m. 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: Expand (25 + 3*p**3 - 25)*(5 + 1 + 1)*(-1 - 2*p + 1)*(-2*p + 2*p + 3*p).\nAnswer: -126*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 < 2325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 6. Let s be p(-4). Let k be s\/2*(-5)\/(-5). Sort 1, -2, k in descending order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -117104?\nAnswer: 3\/117104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -1, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4907, 10081, 15577, 21389, 27511?\nAnswer: 33937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 + 3*i - 4. Suppose -7*o + 3*o + 12 = 0. Let n(p) = 4 + 6*p**2 + 7*p - 10 - o*p. Let x(q) = q - 10. Let f be x(5). What is f*n(a) + 7*k(a)?\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11 + 0*u - u - 1. Let o be f(7). Suppose 0 = 2*p - o - 5. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/120)\/((-4)\/354) - 44\/(-220)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-10)*15\/6. Let r(m) = -2 - 4*m**3 - 2*m**2 + 3*m**3 + 2*m**i. Let x be r(2). What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**0))**3*g*g**(2\/5)*(g*g\/(g*g*(g\/(g*g**(1\/6)\/g*g*g))\/g*g))\/g assuming g is positive.\nAnswer: g**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0 + k**2 + 183*k - 90*k - 94*k + 1. Let c(x) = -19*x**2 + 8*x - 5. Let p(f) = c(f) + 6*v(f). Calculate p(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 6*i + 25. Does 4 divide o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/2 of a minute?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 201\/58904?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8303 or -8304?\nAnswer: -8304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2 = -134*r + 135*r, 0 = 5*t + 2*r - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, i: 1, t: 4}. What is prob of picking 1 t and 1 e?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 + o + 1. Let w(y) = -29*y**2 - 144*y - 1. Determine -6*v(c) - w(c).\nAnswer: -c**2 + 138*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*r**2 - 202*r**2 + 608*r**2 - 209*r**2 + 1062*r to j*r**2 + d + h*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10820516 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 2*p**3 - 134475 + 0*p**2 - 125980 + 260455.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386834, -386797, -386760, -386723, -386686, -386649?\nAnswer: -386612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357048551 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 238)*(-1)\/(-1). Suppose 167 = 5*s - 3*w, -2*s - 3*w + 0 = -50. Let c = s + b. What are the prime factors of c?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 10:02 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -66, -162, -296, -468, -678, -926?\n\"Answer: -19*x**2 - x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 - 20*j**2 - 23*j + 5. Determine l(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324*o - 585 = -1285*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171038631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**4 + 11*m**3 + 50*m**2 - 8*m - 4. Let t(n) = 10*n**3 + 50*n**2 - 10*n - 5. Let y(h) = 5*f(h) - 4*t(h). Determine p so that y(p) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.64329421.\nAnswer: 0.14329421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.116*-1814.82.\nAnswer: 2025.33912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 41646?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 2*p**5 - 4*p**5 - p**5 + 3*p**5 - 4*p**5 + (-2*p**3 + p**3 + 0*p**3)*(3*p**2 - 2*p**2 + p**2).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*r**2 + 400*r**2 - 151*r**2 to a*r**2 + b*r + n and give a.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44915\/308 - 3209\/22. Let z = 72319\/14 + -5169. Calculate the common denominator of t and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - b1882e?\nAnswer: -b18831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 + 346?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*d - 46, -28*t + d + 43 = -26*t. Find the common denominator of 28 and 3\/t*(-14070)\/252.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19803074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 613463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -332*g**2 + 11616*g + 160. Let o be 4\/14 + (-5)\/(-7). What is the remainder when 139\/o*(1 + 1) is divided by z(35)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(2 - 2 - v)*(1 - 1 - 2)*(-10 - 2*v + 10).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 71\/2*a + 5\/4*a**3 - 107\/4*a**2.\nAnswer: (a - 20)*(a - 1)*(5*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v**2 - 13*v + 8. Let b be a(-7). Suppose -2*q + 5*l - 932 = q, 5*l = -2*q - b. Let w = 185 - q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 39*h - 106. Let k be p(3). Suppose g - 5 = -3. Suppose k = 2*q + g*v - 25, 8 = -2*v. Calculate the remainder when 104 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*10\/15 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15263628 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 0, -3*o = g - 3 - 30. Let s = g + -35. Let w be (-20)\/24 + -3 - -2. Is s less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, o: 1, d: 2, b: 2}. Give prob of picking 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 728579200 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/2 - 7186806*a**2 - 28747206*a - 28747200.\nAnswer: -3*(a + 2)**2*(a + 4791200)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 7*p - 269 + 30 + 215 + 41 + 28.\nAnswer: 10*p + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 328262733 times -4\nAnswer: -1313050932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23127*s - 23337*s = -4200 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19554*c*l**5 + 5*c*l**3 - 4*c*l**2 + 195*c*l + 5*c - l**3 - 17*l**2 wrt l.\nAnswer: -1173240*c*l**2 + 30*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1671877*f*m**3 - 2*f*m**2 - 183*f*m - 3*m**5 - 5*m**2 - m + 403 wrt m.\nAnswer: 10031262*f - 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmmmmjwhjwhmqjwqc. What is prob of picking 2 h and 1 c?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/2720 and 83\/3740?\nAnswer: 29920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 2*d**2 - 7*d - 2. Let l(w) = w**2 - 9*w + 15. Let p(i) = 6*l(i) + 13*v(i). Give p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189527561*g**4 - 385244*g**2 - 4*g - 30 wrt g.\nAnswer: -4548661464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/(27\/((-1620)\/(-8)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t + 47*t + 81*t - 1573 = 47*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/11*(-1782)\/(-216).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2. Let u(n) = -5*n + 5*n - 4*n. What is u(a(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8698\/21 + 2904\/7. Let 0*g + t*g**3 + 0 + 2\/3*g**2 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*n + 20, n - w + 30 - 34 = 0. Put -0.3, 9, n, 3.09 in descending order.\nAnswer: 9, n, 3.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19*x**2. Let g(m) = -8*m**2 + 3*m**2 + 7*m**2. Give y(g(z)).\nAnswer: 76*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -3 - (4 + -1). Let x = 4 + j. Calculate the greatest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851213629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6411578 rounded to 2 dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9084009 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnbbvbvbvvbvvvbjv. Give prob of picking 2 b and 1 v.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 6*i + 6527 = z, -5*z = -i + 1321. List the prime factors of i.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 11*t**2 + 10*t + 10. Let l be w(8). Let s(n) = 3*n + 75. What is the remainder when (18\/(-27))\/(4\/l) is divided by s(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 25*j**2 + 11*j + 399. Determine o(-26).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 143*u - 55. Let r be 2*((-25)\/10 + 2). Let k(b) = 2*b - 1. Let c(y) = r*f(y) + 55*k(y). Let z(n) = -4*n - 3*n + n + 5*n. Give z(c(g)).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 4 - 2) + 3. Solve -c*f = 21 - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 237*p - 15178. Determine v(64).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, e: 1, j: 1, d: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -566317\/6 smaller than -94387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7635 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -224 - -285. Suppose 153 = 2*p - k, p - 59*k = -z*k + 89. What is the highest common divisor of 158 and p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 1. Let a be 0\/2*(-1)\/(-2). Let y be h(a). Suppose -60 = -4*l - 2*j, y = -2*l + 5*j + 7. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29\/3 and -8339 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, -0.034, -591 in increasing order.\nAnswer: -591, -0.034, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + r + 35, 2*w + 6*r + 134 = -3*w - 126 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 14*t + 1. Let h(j) = -2*j**2 + 11*j + 1. What is 3*c(g) - 2*h(g)?\nAnswer: g**2 + 20*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(40)\/sqrt(36)*-6)\/((sqrt(3840)*-2)\/(sqrt(36)\/(sqrt(3) + sqrt(3) + sqrt(3)*-3))).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -98. Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 10*m + 4. Let d be x(-4). Let l(v) = -8*v**2 - 26*v + 11. Let c(f) = 3*f**2 + 9*f - 4. Give d*l(q) - 11*c(q).\nAnswer: -q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40512572 rounded to the nearest ten thousand?\nAnswer: -40510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10604, -7606, -2610, 4384, 13376, 24366?\nAnswer: 37354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1247 + 19828. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-1\/2)*x))**(-3\/8)\/(x**(-5))**50 assuming x is positive.\nAnswer: x**(4009\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -3\/16?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = 7*r - 7920. Let b be 6\/5*220\/r. Factor 8\/3*p + b + 8\/3*p**2.\nAnswer: 2*(2*p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10319.58323 rounded to 0 dps?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-18 + (-7296)\/(-408)) + 164\/(-238)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r - 128. Determine f(-36).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15989.\nAnswer: 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - k**2 + 12*k - 73. What is m(6)?\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.093 + 0.867. Let j = d + 3.04. Which is the third smallest value? (a) j (b) -1\/4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1356*a**2 - 41 + 2373*a**5 + 60 - 1356*a**2 + 99*a wrt a?\nAnswer: 47460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -130069.\nAnswer: 24\/130069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124305.\nAnswer: 3, 5, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 34. Let b be ((-6)\/30)\/(3\/k). Let h = 80 - b. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(700) + 0 + sqrt(700) + sqrt(700)*2 + 4))**2.\nAnswer: 4000*sqrt(7) + 280100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31160 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6*a**5 - 310*a**4 + 972*a**3 + 18136*a**2 - 93648*a + 54144 = 0.\nAnswer: -8, 2\/3, 6, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5157388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 4*j**2 + 5*j. Let v(w) = 13*w**3 - 8 - 14*w**3 + 10 + 4*w**2 + 2*w. What is the lowest common multiple of c(4) and v(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + s. Let x(c) = 48*c**2 - 2298*c - 665858. Let r(m) = -10*w(m) + x(m). Find p such that r(p) = 0.\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -57 - (-8 + -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:27 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12354\/1218 - 7\/(147\/24) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 24 = -3*q, -g - 2*q + 6 = 3*g. Let j be (-9)\/3 - (-16 + (4 - -6)). Factor -6*k + 19*k**g + 18*k**2 + 2*k**4 - 7*k**j + 0*k**4 + 14*k.\nAnswer: 2*k*(k + 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156325902 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 28 = 5*y, 7*y - 2*y = -5*t. Let i = 35492 - 35492. Solve i = 3*l - 2*j - 3 - 6, -t*j - 13 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4\/3 + 416*y**3\/3 - 7436*y**2\/3 - 108416*y\/3 + 38480 = 0. Calculate y.\nAnswer: -10, 1, 39, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12113 + -1013213?\nAnswer: -1031332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189a2 (base 12) in base 6?\nAnswer: 10034322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2690218.06137257891117 + -4.10137930891117. Let s = 2690214 - v. Let j = s - 0.04. What is j rounded to 7 decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 127*z**3 + 523*z - 423. Find the first derivative of a(o) wrt o.\nAnswer: 762*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 9 - (5 + 3) - (-5 - -4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 at most as big as 261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -21*f**2. Let z = 9 - 7. Let o(s) = -s**2 + 2*s + 2. Let q(t) = t + 1. Let n be 18\/22 - 2 - 20\/(-110). Let u(h) = n*o(h) + z*q(h). Calculate g(u(d)).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 15*p**2 - 33*p + 25. Let z be i(-17). Let g = -135246 + 1219043\/9. Let n = g - 203. Sort z, n, 4 in increasing order.\nAnswer: n, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -7. Let k = -26.406 - -33.40656. Let m = k - z. What is m rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012 (base 3) to base 8.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -5*n**3\/3 - 25*n**2\/2 + 20*n + 9. Let y(i) = 3*i**2 + 13*i - 10. Let z(d) = -4*u(d) - 7*y(d). Calculate z(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 + 4*d - 1. Let p be i(-5). Suppose p = 3*h - 55. Calculate the remainder when 55 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 6*c**2 + 3*c**2)*(2 - c - 2) + (0 - 2*c**2 + 0)*(1 - 1 - 4*c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**4 + 14*j**4 - 7*j**4 - 40*j**2 - 2*j - 38*j**2 as u*j**2 + l*j + k + f*j**3 + z*j**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541493689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - 262*a - 5571. What is n(-38)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + 78*p + 4. Let v(j) = -j**2 - 26*j - 1. Determine -2*i(g) - 7*v(g).\nAnswer: g**2 + 26*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 less than -11\/605302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 77 = -5*b. Suppose -b*t + 1100 = -6*t. Suppose 5*d - t = -5*h, 4*h + 3*d = -0*h + 216. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 281. Let v(p) = 4*p**2 - 561. Calculate -9*h(c) - 4*v(c).\nAnswer: 2*c**2 - 285","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 141.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 10}. What is prob of sequence ss?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 24, 36, 62, 108, 180, 284?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 9*z - 8*z + 9, 4*a - z = 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = n + 6*o, o = 0. Suppose d = -3*k - 0*k - 11, d - 2*k = 14. Suppose 4*r = -d - 0. What is the nearest to n in 2, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 + 16 - -213 - 112\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19690129*z**4 + 388371*z - 9 wrt z?\nAnswer: -236281548*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 + 12*m**2 - 8*m - 4. What is g(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:11 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29828*t**3 + 143437*t - 143437*t + 29803*t**3.\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 3, r: 3, u: 7}. Give prob of sequence au.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14416496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (888\/15)\/((-3)\/(-30)). Find the third derivative of 3*c - 3*c + 588*c**3 - g*c**3 + 66*c**2 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346112560 to the nearest integer?\nAnswer: 18604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1baff8a3 + 5?\nAnswer: 1baff8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1135, 2244, 3353, 4462, 5571?\n\"Answer: 1109*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*g**2 + 105*g - 26*g - 29*g - 28*g - 32*g to the form q + j*g**2 + u*g and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 26*(0 - 69)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 6*q**2 + 7*q - 10. Let d be y(5). Which is the third biggest value? (a) d (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 12*i + 5. Calculate the remainder when 556 is divided by u(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -15*s - 29. Let g be (s - -5)*(51\/21 - 2). Which is the nearest to 0? (a) -8 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45)\/(-18))\/((-2)\/(-4)). Let d(c) = 1 - 6*c + 1 - a*c + 12*c. Suppose 0 = 4*q - 1 + 9. What is d(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4657229*b**3*t - 15*b**3 - 10951962*t + 13 wrt b.\nAnswer: -13971687*b**2*t - 45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-52)\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16a2 (base 15) to base 7\nAnswer: 20135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*m - 1644 = 117*m. Solve -m = -y - 275 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 16*u**2 + 30*u - 47. What is the tens digit of q(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 11*n - 11. Is q(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + -4*(-28)\/(-2 - -4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 6*q - 5580. Suppose 4*p - q = -288. Is p - (-3 + -2 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 78*g - 809. Determine s(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 5*p + 19. Let z(f) = -2*f**2 - 11*f - 39. Let d(t) = -7*j(t) - 4*z(t). Let k be d(-8). Suppose -x + k + 33 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {s: 6, l: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -3044\/89?\nAnswer: -3044\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:49 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 5*i - 4. Let q be y(-3). Let r be 16\/(-15) + q\/5. Let g = -3 - -1. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.06 - 0.06. Let n = 22.1 - -2.4. Let p = n - b. What is the third smallest value in p, 0.2, -0.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 36*q**2 - 6 - 1 + 13 - 6. Let y(p) = 4*p**2. What is y(s(l))?\nAnswer: 5184*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*q**6 - 170*q**6 + 2*q - 2*q + 15*q**2 wrt q?\nAnswer: -5400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**3*y*y)\/y**(-3\/2))\/(y**1*y\/(y\/y**(-8\/7)*y)*y))\/(y\/(y\/(((y*y**(-2\/27))\/y)\/y*y))*y*y*y*y*(y*y**(-3\/4))\/y*y**(-1\/3)*y**4) assuming y is positive.\nAnswer: y**(-3931\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 592495513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -377b838?\nAnswer: -377b812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**4)\/(a**(-26\/3)*a))\/(a**(-25)\/(a*a\/a**40)) assuming a is positive.\nAnswer: a**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 2 + 4*v - 5*v. Let l(j) = 16*j - 11. Let b(q) = 11*k(q) + 2*l(q). Let i(w) = 18*w**2 + 15*w**2 - 39*w**2. Calculate b(i(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 5*c**2 + 4*c**2 - 1 - 6*c - 8*c**2. Calculate f(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 11. Suppose p = 5*r + 5. Suppose r*t + 11 = 71. What is the lowest common multiple of 4 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 47\/5. Suppose 3*q + 4*w = 8, 0*q - q - 2 = -w. Sort 0.1, q, l in descending order.\nAnswer: 0.1, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5495.212871451 + -4?\nAnswer: 5491.212871451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/17 + 2772*o**2\/17 + 1280664*o\/17 + 197222256\/17 = 0.\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7178634, 7178636, 7178638, 7178640, 7178642, 7178644?\nAnswer: 7178646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 680.5 + 6.86749504\nAnswer: 687.36749504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28742 + 51475. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 142 and -22651.\nAnswer: -3216442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-630)*-66*28\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -5*q**4\/12 - 7*q. Let i(j) = 3*j**2. Give a(i(f)).\nAnswer: -45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + (-4)\/(-34). Let v = -2 - 4. Suppose 10 = 354*z - 352*z. Sort z, m, v in decreasing order.\nAnswer: z, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121064*b**2*h**3 + 1214*b**2*h**2 + 9*b*h**3 - 7704074*b wrt b.\nAnswer: -242128*h**3 + 2428*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvf when three letters picked without replacement from vvvyfylyfpyyyvyvyyyy?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x - 147. Let q be v(-25). Let b(i) = -i**2 - 2*i + 3. Let l be b(6). Let p = l - q. Solve 0 = 6*f - p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxuxb. What is prob of picking 1 d and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.126420099 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1f899d (base 16) to base 13\nAnswer: 5749b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/587 or 1?\nAnswer: -14\/587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from nytrynyfqnr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 3)*(-5 + 0 - 22*s + 20*s) + 2*s + 10*s + s + (-s - 2*s + 5*s)*(-3 + 5 - 3) - 2 + 2 + 2*s + (-3*s - s + 3*s)*(2 + 2 - 3).\nAnswer: 24*s + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 1 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/11, -1\/41, 34.6, 0.4, 6, 5?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 p when four letters picked without replacement from rprrpvppppppppppp.\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 412? (a) 0 (b) -1\/4 (c) -11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*m - 22004 - 13988 = 0, 5*m - 9021 = -c. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171875 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 823 divide 1475937422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119 - -65. Let x be -3 - i\/21 - 26\/168. Let s = -4\/3 - x. What is the third biggest value in -1.1, s, 5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1146429, -1146425, -1146411, -1146381, -1146329, -1146249, -1146135, -1145981?\n\"Answer: w**3 - w**2 - 1146429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47723456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 1, x: 11}. Give prob of picking 2 a and 1 u.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8*m + 25. Suppose 3*y + m*n = 82, 0 = -2*y - 0*y + 4*n + 40. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 43 - (-6)\/2 - 2. Suppose 2*r + 2*r - j = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.35 + 0.65. Let v(r) = 2*r**3 + 18*r**2 - 8. Let u be v(-9). Let l be (48\/(-32))\/(((-18)\/u)\/3). What is the second smallest value in b, l, 2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -3, 3, -0.15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1238076239 and -0.5?\nAnswer: -619038119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 0, -5 in decreasing order.\nAnswer: 3, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 40. Let p be ((-40)\/16)\/(2\/(-4)). Suppose 0 = p*l + z - 4. Is -7 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + (-4 - -3) + 27 - 3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -133 + 143. Let p be (4\/(-5))\/(y\/(-15625)). Round p to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*s**4 + 2*s**3 + 520*s - 161398.\nAnswer: -220*s**3 + 6*s**2 + 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*n - 14, 0*n - 5*n - 8 = -d. Suppose 0 = 4*x + x + 3*k - 15, 3*k = -d*x + 9. Solve 0 = x*w - 15, w + 2 = -2*j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -29945 (b) 5 (c) 1 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 53*x - 4. Let f be u(-10). Let b = f - -29. What is the second smallest value in 102\/5, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*o*t + 2*g**2*t - 64067*g*o + o*t - 28694*o - 2*t - 41 wrt g.\nAnswer: 2*g*o*t + 4*g*t - 64067*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i + 4*k - 2, 0 = 5*i - 4*k - 82. Factor -40\/3 - i*r - 2\/3*r**2.\nAnswer: -2*(r + 1)*(r + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2*(-1)\/34). Let f = r - 50\/3. Let h = 41.24 + -41.04. Which is the second biggest value? (a) h (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 149, -56, -397, -874, -1487, -2236, -3121?\n\"Answer: -68*u**2 - u + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/2)\/(2\/4). Suppose -n = a - 17. What is the lowest common multiple of n and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 1, j: 2, g: 2, b: 1}. Give prob of picking 2 g, 1 b, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.49547523 + 0.04006.\nAnswer: 28.53553523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-28)*35 + (502 - 8) is divided by 118.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 901\/9. Which is the second biggest value? (a) -1 (b) -5 (c) t (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/8, -2019, -0.1?\nAnswer: -2019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 - 0.85890646\nAnswer: -3.25890646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:18 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) + (15 - 2121\/56) + 17\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19417 is divided by 718.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyyoy. What is prob of sequence oo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 - 545\/4. Let u = -0.95 + -0.05. Put o, u, 4 in ascending order.\nAnswer: u, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -531094*r + 530911*r - 9882 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, -2\/17, 1\/7, -4\/7.\nAnswer: -4\/7, -2\/17, 1\/7, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.12, 0.5, -24, -1\/6, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*b*c*n**2 - 70*b*h**2 + 3410*b + 4440*c*h**2 + 37*c - 2*h*n**2 wrt h.\nAnswer: -140*b*h + 8880*c*h - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366354846.\nAnswer: 2, 3, 11, 13, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -89 (c) -4.6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-8)*l*l)\/l**5)\/(l*(l\/(l*l\/(l*l**1*l*l)))\/l*l*l*l*l)**(-6\/11))**(2\/51) assuming l is positive.\nAnswer: l**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -7*p**5 - 82*p + 207. What is the first derivative of h(k) wrt k?\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 10*b - 13. Give i(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52374.34ml to litres.\nAnswer: 52.37434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 420127?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 42*b + 82 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -74.8*4\nAnswer: -299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let f(q) = 1823*q**2. Calculate n(f(z)).\nAnswer: 3646*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -32, -115, -286, -575, -1012?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + v + 2)*(1 - 1 - 4) + 3*v - v - v + (3 + 0 + 0)*(0*v + 3*v - v) - 2*v + 3*v - 3*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24570 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 571133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11 = -d, 0*y - y - 23 = 5*d. Put d, 1\/9, -2\/7, 2 in descending order.\nAnswer: 2, 1\/9, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from iyiiiyiii.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*s - 5*s + 1)*(4 - 4 - s) + (0*s + 3*s - s)*(-3*s + 0*s + s) + 5*s**2 + 12*s - 12*s.\nAnswer: 4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + -2 + 7 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*a + 2535 = -2907 - 903 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 540*f + 5416. What is the remainder when k(-7) is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74730 + 166376. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2927 or -1\/12925?\nAnswer: -1\/12925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1266 divided by -1.\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/((-4)\/10*500\/13200). Solve 93*v + h = 27*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1132 + 425625\/376. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 39. Let v = 3675 + -3667. Calculate the greatest common factor of v and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88986 divided by -3?\nAnswer: -29662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*h - 57*h + 32*h to the form x*h + s and give x.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from ffqvfqqvffffqqfqfq?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 191. Let a = i - -113. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.02, 385, -4\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.02 - 0.02. Let s = 108\/7 + -1634\/105. Let l = -0.04 + 4.04. Which is the closest to 0.1? (a) l (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/60 + 4*l**5\/5 - 15*l**4\/4 + 22*l**3\/3 - 120*l**2. Factor r(d).\nAnswer: -2*(d - 22)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 94329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*16\/6*205\/164?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227241377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1299 (base 14) in base 12?\nAnswer: -1a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295cb9 (base 15) to base 9.\nAnswer: 3668373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61170 and 581115.\nAnswer: 1162230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4. Let k(g) = 13*g**2 - g + 1. What is the tens digit of k(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.03 - -0.03. Let d = 0 - v. What is the third smallest value in 3, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1766 is divided by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 5. Let w be f(-3). Let s be -2 - -6 - (-1)\/(-1). Solve w*l - s*l = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24090?\nAnswer: 2, 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 5159.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5797*g + 969*g - 27816 + 93905 + 44955 = 0 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*k = 1165 - 55115 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = -4*i, 0*i = -i. Is m - 4\/(-3 + 1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167\/295 + 2\/59. Which is the nearest to -1? (a) k (b) 1\/6 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 1. Suppose -6*u - 2*f - 4 = -5*u, 3*f + 19 = 5*u. Give n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*j**6 - 98*j**2 + 2 wrt j?\nAnswer: 12960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from ppxpwxp?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57\/(-76) - 99\/(-4). What is the remainder when 53 is divided by (-52)\/r*-4*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**2 - 3489*o - 8185?\nAnswer: -2*o - 3489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-12)\/i*i*i)\/i)\/((i\/i**(-3\/17)*i*i)\/i))\/(i**(-33))**(-1))**(-1\/2) assuming i is positive.\nAnswer: i**(785\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose -j*h + 5*h = 5*i + 24, 10 = h - 3*i. Calculate the smallest common multiple of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 202, 367 in decreasing order.\nAnswer: 367, 202, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 1\/360*t**5 + 1\/48*t**4 + 1\/18*t**3 + 0*t + 0 - t**2. Factor v(m).\nAnswer: (m + 1)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -47*m + 48*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/((-6)\/36). Let l(h) = h**3 + 8*h**2 + 8*h + 6. Let g be l(w). Let u = g + -13. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 4*g + 1. Determine b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v**3 - 7*v**2 + 39*v - 28. Let d(a) = -4*a**3 - 2*a**2 + 10*a - 7. Let j(u) = -26*d(u) + 6*o(u). Determine p so that j(p) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7275 and 2425.\nAnswer: 7275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 - -1?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10039324.\nAnswer: 2, 2509831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742410 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 55476163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 5)*((-1725)\/(-2760) - 134\/240)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-236 - 1) + 241 - (100 + 0)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > 13871418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 - 4*r - 6. Calculate j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2\/13, 3, -16 in descending order.\nAnswer: 3, 2\/13, -1\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -18*y + 9 - 6*y - 12*y + 5*y. Let t be i(-3). Let r = t - 73. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in 1, 160, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aayaayaaaa.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -48*g + 1. Let k be x(-1). Suppose -3*v + k = 19. What is the remainder when v is divided by 3\/4*(-4)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -525725, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 5:04 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3252774190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 12) to base 6.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-101)\/((-2)\/(-2)))\/10 and (-2)\/(-4)*(5 + 10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 - 1771.\nAnswer: -1771.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**2. Let h(x) = 7466083*x. What is h(q(n))?\nAnswer: -89592996*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 - 7*v + 6. Let f(a) = -a**2 + a - 1. Let c(i) = -5*f(i) - h(i). Let g be c(2). Is 214*(-20)\/8*g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246925 is divided by 568?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 21*n + 16*n = 13, 0 = -x - 5*n - 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, -8, -1, 162, 4, 3 in ascending order.\nAnswer: -8, -1, 1, 3, 4, 17, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 56996161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumumumuuuu. Give prob of sequence uuuu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(4*sqrt(204) + sqrt(204))*3)\/((sqrt(96) + (sqrt(96) - (sqrt(96)*1 + sqrt(96))))\/sqrt(8) - 1*sqrt(1452)).\nAnswer: 270*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 50 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 (base 9) in base 6?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r - 3. Let h(g) = -16*g + 46*g - g**3 + 9*g**2 - 12*g + 7 - 19*g. Let f be h(9). Determine x(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 3*t + 7. Let h(k) = k**2 + 5*k + 5. Let j be h(-5). Let x be i(j). Let n(a) = -a**3 + a - 6. List the prime factors of n(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -4*k + 5*k. Let c = k - 58. What are the prime factors of (375\/6)\/(2\/c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -3 (b) -0.6 (c) -0.06 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*p**4\/2 + 2859*p**3\/4 - 1431*p**2\/4 - 519*p - 105 = 0.\nAnswer: -2, -1\/2, -2\/7, 35\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(84)\/(sqrt(196) + sqrt(4) + sqrt(4)) - sqrt(21)) - sqrt(189)*-5)\/((-2*sqrt(60)\/sqrt(2))\/(sqrt(120)\/(sqrt(48)\/sqrt(4)))).\nAnswer: -68*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4078289?\nAnswer: 613, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-595)\/(-4) - (-2)\/8 is divided by (-6 - 51)\/(((-99)\/(-6))\/(-11)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -229.21 and -462268.\nAnswer: -462497.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, -1\/4, -1\/5, 22, 22191?\nAnswer: 22191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 5. Let f(w) = -4*w. Let t be f(1). Let l = 3 + 2. What is the smallest common multiple of o(t) and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -1\/20*l**5 - 3*l**2 + 1\/120*l**6 + 0*l + 0*l**4 + 0*l**3 + 0. What is the third derivative of o(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1373*z = 691*z - 4128 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -2 + 20022\/(-658). Which is bigger: -34 or k?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-2)*48\/(-30). Solve p*d = -10 + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2557*y**3 - 1873*y**3 - 706*y**3.\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsshhhlllhslllghsh. What is prob of sequence sh?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -79. What is the closest to -50 in b, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 2, g: 4, p: 1, m: 4, a: 6}. Give prob of sequence qa.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 5*v - 2*v + v + 0*v - 2*v + (-7 + 2*v + 7)*(1 + 5 - 2).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7618129424?\nAnswer: 2, 101, 4714189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 15, 5*i + 5*r = 35. Suppose -9 = -4*f + 23. Suppose w - i*w = -f. Calculate the lowest common multiple of w and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -41*v - 264. What is y(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1407 and 43.2.\nAnswer: -1363.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) + 48\/120. Solve 5*w + 4*p + 45 = n, w - 4*w = -2*p + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9383 is divided by 617.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 22035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12) + 19\/3. Let q = 10 - t. Suppose 5*u + 115 = j + 4*j, 4*j = -q*u + 106. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4 + 6*r + 1 - 1 - 5*r**2 + r**3. Suppose -4*j - 3*w = -10, 0*w = 5*j - 2*w - 24. List the prime factors of a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose 3*c + 15 = 0, a*z = -z - 3*c + 13. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 27450894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose -4*z = o - 24, -19 = -3*z + 3*o - 4*o. Which is the nearest to 0? (a) 0.3 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.086?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*d = 92, 2*d = -0*d - 8. Suppose 3*j + 15 = b, -5*j = -4*b + 25 + 28. Calculate the greatest common divisor of b and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0049 - 0.0951. What is the second biggest value in 261, 0.5, s, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 2*h - 2. Let i be x(-2). Let v be (2 - 2)\/(1 + i). Let g(w) = 0*w + 2*w**2 + v*w + 0*w. Let u(k) = -3*k**2. What is u(g(r))?\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1754*w**2 + 0*w + 0*w.\nAnswer: 1754*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 100. Let n(q) = -q**2 + 11*q. Let b be n(11). Suppose b = 3*l - l - f. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(-4 - -5 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 4. Suppose -4*q - q = 0. Suppose -5*f + 25 + 75 = q. Let y be 52\/10 - 4\/f. Determine s(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l + 1\/2*l**2 + 38. Determine w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*l**2*m**3*u - 3*l**2*m**2*u**2 - 3390*l*m**3*u**2 + 27*l*m**3 + 2*l + 2*m**3 + u wrt u.\nAnswer: -6*l**2*m**2 - 6780*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 29879 (b) 0.038 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -656*d + 646*d + d**2 + 78 + 0*d**2 + 1. Let j be a(8). Calculate the highest common factor of 147 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328a5 (base 15) to base 11\nAnswer: -aa712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85758.6 weeks to microseconds.\nAnswer: 51866801280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 19*x**2 + 77*x - 5. Let k be w(-13). Suppose 10 = -d + 2*d. Let s(z) = -k*z**2 + d*z**2 - 7*z**3 + z + 6*z**3. Give s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.98 + -0.02. Let u = -242 - -259.2. Let c = u + -17.1. What is the second smallest value in 4\/7, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let v(g) = -97*g. Calculate h(v(m)).\nAnswer: 18818*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from unnpmuunmmnunnnpuuu.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/12 + 0)*-4. Let p(f) = 3*f**2 + f. Let z be p(u). Suppose 15 + 9 = z*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -25*l**2. Let w(o) be the third derivative of 119*o**5\/15 - 10*o**2 - 516*o. Give c(w(i)).\nAnswer: -5664400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2574.3 - -2574. Sort -775, z, -5, 3.\nAnswer: -775, -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.03 + 1.296. Let y = 0.71 - r. Let m = y + 0.056. What is the smallest value in 0.6, m, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -1631, -5232, -12181, -23594, -40587?\nAnswer: -64276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, -13, 1\/3, 44, -127\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 4453 + 4453 - 3*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3232?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -641*f + 647*f. Solve f*y - 12 = 5*s - s, 22 = -2*s + 5*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318450?\nAnswer: 2, 5, 89, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b = 2*k + 70*b + 46, -k + 5*b = -7. Let a(q) = -q**2 - 10*q + 27. Determine a(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598587 to the power of 1\/2, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 11*k + 19. Let b be p(12). Suppose 0 = -b*q + 441*q - 4. Solve -4*s = q*s + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4 - (118\/(-4) - -2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -33*h + 479. Calculate n(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2907*i - 17666. Calculate t(6).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82176, -1, -1280 in ascending order.\nAnswer: -82176, -1280, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c + 0*c)*(3*c**2 - 3*c**2 - 2*c**2 + (-1 - c + 1)*(c + 2*c - c) + 3*c**2 - 21 + 21) + (0 + 0 - 3)*(-3*c**3 - 2*c**3 + 6*c**3).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2. Let g(m) = -16*m - 5. Let b(h) = -33*h - 11. Let x(t) = 5*b(t) - 11*g(t). Calculate l(x(y)).\nAnswer: -484*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-297 + 204 + 161)*(0 + 2*j + 0 + (4 - 1 - 1)*(10 - 26*j - 10) + 3 - 3 - 2*j) in the form c + n*j and give n.\nAnswer: -3536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 21*n + 35 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let b be m(2). Suppose 5*u - 12 = -b. Find the second derivative of 15*r**5 - 56*r**2 + 56*r**u + 25*r wrt r.\nAnswer: 300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q - 6. Let x(r) = 27*r - 20. Let h(l) = -13*l + 9. Let f(n) = -5*h(n) - 2*x(n). What is -5*d(g) + 6*f(g)?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10.7 (b) 0.0313 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -20*z. Solve z = -3*p - 13 + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*g**3 + 93 - 93)*(4*g - 3*g + 0*g + 1 - g - 1 + (1 - 1 - 2)*(-2*g + 6*g - 2*g) - 58 + 12*g + 58 - 2*g + 0*g + g).\nAnswer: -238*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20112860?\nAnswer: 2, 5, 1005643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxxoxooxxxoxxxx. What is prob of sequence xox?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324344420 (base 5) in base 13?\nAnswer: 3a1857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*i - 6*i**2 + 4*i**2 + 77*i in the form k + r*i**2 + y*i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*t + 12 = 0, 0*g - 4*t = -3*g - 15. Let u(n) = n**3 + 12*n**2 + 16*n - 24. Let y be u(g). Calculate the greatest common divisor of y and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49667, 199003, 447911, 796397, 1244467, 1792127?\n\"Answer: p**3 + 49780*p**2 - 11*p - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-15)*(-5 + 2). Let l(n) = 4*n**3 - 3*n**2 - 4*n + 3. Let y be l(3). Suppose -c*m + y = 2*m. What is the highest common factor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233513813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*z + 20. Let h = z + 7. Suppose 0 = d + 3*n + 7, -490*d + n - 3 = -485*d. What is the closest to h in d, -2\/11, -2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 13151222\nAnswer: -13151226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/11 + 141848*f**3\/11 + 5030213776*f**2\/11 = 0. Calculate f.\nAnswer: -70924, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 59438864?\nAnswer: 118877728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 2*i)*(15*i**3 + 219 - 3*i**3 - 209).\nAnswer: 12*i**4 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**3\/6 + 7*t**2\/2 + 2*t. Let w be f(-5). Suppose 5*d - w*h - 6 = 0, 10 = -4*h - 2. Solve 4*o + 18 - 2 = d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Let v be -4 - (4 - 10)*1. Solve y + 4*t = 18, -m*t = v*y - t - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -274 - 1526. Put z, 5, 0 in descending order.\nAnswer: z, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -350918 and -0.5.\nAnswer: 175459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7232740, 14465480, 21698220, 28930960, 36163700?\nAnswer: 43396440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34550014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a**5 + 2678*a**4 + 2*a**2 - 278*a + 132?\nAnswer: 1140*a**2 + 64272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -83.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 + o - o)*(6*o - 9*o - 8*o) + 4*o**4 - 6*o**4 + 3*o**4 in the form g*o**2 + k*o + x + y*o**3 + d*o**4 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g + 4*g + 6 + 3*g**2 + 3*g. Let k(f) = -2*f**2 + 2*f - 7. Let u(c) = -6*k(c) - 7*x(c). Find the second derivative of u(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 19*f**2 - 3*f + 1. Is s(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i - 100*i - 137*i + 11253 = -212*i for i.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 7*d - 2*d - 18730 = 0, -5*k + 31220 = 5*d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 - v**2)*(-2081*v**2 + 2066*v**2 + 0*v - 2*v).\nAnswer: 30*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4158 * 0.08\nAnswer: 332.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 11:42 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/28 and -79\/3334324.\nAnswer: 3334324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/(-92) + 45\/12. Solve 3*o - 3 = 0, -z + f*o = -3*z - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:31 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -28 + 38. Let o(n) = n**3 - 7*n**2 + 7*n - 5. Let k be o(6). Put k, -5, r in decreasing order.\nAnswer: k, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/4 + 1035*g**2\/2 - 6246*g = 0.\nAnswer: -2082, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.628255 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 2 = 0. Let u be q + 5 + -2 + 0. Suppose u*v - 8 - 12 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179.8 + -157. Let c = 23 - x. Put -0.5, c, -3 in decreasing order.\nAnswer: c, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 22. Let h = v + 23. Suppose 3*y - h = 103. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 330192*k**2 + 8582964*k - 55784872.\nAnswer: 4*(k - 82522)*(k - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -10*z**4\/17 + 116*z**3\/17 + 498*z**2\/17 + 180*z\/17 = 0?\nAnswer: -3, -2\/5, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -384 - -664. Is v a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*s**2 + 4\/9*s - 2\/3.\nAnswer: 2*(s - 1)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - 23?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/750 and 65\/213.\nAnswer: 53250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 - 2\/(-10). Let c be 18\/(q - -1) + 1. Suppose 6 = c*h - 17*h. Calculate the remainder when 6 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 8. Let x(v) = -2*v**2 + 3*v + 5. Let q be x(3). Let c be i(q). Suppose c = 12*m - 11*m - 170. Is 36 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11327 + 11332. Let f = 3 - -5. Calculate the greatest common factor of f and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2516489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 201.833064211591 and 0.3?\nAnswer: 201.533064211591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 41, -1, 4, -2 in descending order.\nAnswer: 41, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 108.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 6*l + 6 + 98 = 3*l, 3*l + 2233 - 2331 = -b for b.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12309412453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1151461 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*m - 65 = 0, 3*m = -7 - 8. Let t be 36\/f*(-5)\/2. Let w be (-1)\/(1 - 3\/t). Put 5, w, -4 in ascending order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.2. Let s = i + -0.3. Let u = -0.47 + 0.07. Sort s, u, -0.2 in decreasing order.\nAnswer: s, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/225)\/(-8))\/(((-2)\/(-10))\/(-1))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = 2*d + 176 - 168, 4*q - 12 = 3*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32201910 and 60?\nAnswer: 64403820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3238 is divided by 1080?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 46, -11, 37?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -876 + 871. Which is the closest to 2\/5? (a) f (b) 0.2 (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772\/(-96)*-267 - (-3)\/(-24).\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(108)*-4 + sqrt(72)\/sqrt(6) - (-2 + sqrt(5808) + 1)).\nAnswer: -66*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*a = 20, d - 719*a + 721*a = 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 11 + 6 - 8 + 4. Suppose -5 = -o + 62*w - 61*w, o = 4*w + 5. Calculate d(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2 + 1 - 3 - 3*q. Let s(l) = -l. Let v(m) = 6*a(m) - 17*s(m). Let n(x) = 4*x**2 + 158*x - 158*x. Give v(n(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 1 + 1)*(13*h + 2*h + 7*h)*(-3 - 1 + 6) to q*h + x + w*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139 - -349. Does 44 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1 - (1 + sqrt(19))*-4)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 32 = -2*i. What is the lowest common multiple of 14 and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*x = 3*g + 30, -x - 15*g = 164 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 + 19 = 0. Suppose -3*z = -5*z + r. Let w = 10 - z. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 13*q - 6. What is y(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600\/4620 - 14\/(-98).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, 2, 3, 6, -6 in increasing order.\nAnswer: -20, -6, -4, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 357. Let l = o + 316.84. Round l to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6840721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*k + 125*k + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51 + 4*w - 117 + 183*w**2 + 53 wrt w.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/49 and 109\/14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-7))\/(2\/28). Suppose -k = 4*k - 180. Calculate the highest common factor of k and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195 - -109. Let r = 85.9999953 + q. What is r rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/7)\/(t\/(t\/t**(-3\/8)))*t**(-1\/6)*t**5 assuming t is positive.\nAnswer: t**(851\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h - h)*(-1 - 1 - 1 + (1 - 4 + 1)*(-1 + 0 - 4)).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.92 - -1.08. Is y less than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0 + 11\/20*x**5 + 0*x**4 - 6*x**2 - 8*x + 0*x**3. What is the first derivative of c(f) wrt f?\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = -5*c + 1, -11 = -5*i + c. Let j(t) = -2*t**2 - 4 + 5 + 1 - t**2 + t**3 + 2*t. Let o be j(i). Solve o*q + 4 = -4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2785, -22522, -76197, -180796, -353305?\n\"Answer: -2831*a**3 + 17*a**2 + 29*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*r + 15, 5*r + 3*s + 3 = -20. Let z be (-8)\/(7310\/1825 + r). Round z to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(13)*-2 - (sqrt(13) + 2)*4) + -2 + 1)**2.\nAnswer: 36*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.52 rounded to 0 dps?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 2*d**3 - d**3 - 2*d + 2*d**3 to the form m*d**3 + f + l*d**2 + i*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-3)\/(-3 - 0) + 18. Let b(c) = -c**3 + 18*c**2 + 15*c + 80. Let x be b(t). What is the highest common divisor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 7. Let u be l(0). Let t be 2*u\/3*3. Suppose 0 = 3*h + k - 11, 3*h + 2*k - 2 = t. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 25, 26, 11, -26?\n\"Answer: -i**3 + i**2 + 15*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90\/7 + -11416\/889. Is 4 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107174630 to the nearest integer?\nAnswer: 10353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2121752 + -13?\nAnswer: 2121737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4 - r**2 - 25*r**3 + 21*r**3 + 7 to k + v*r**3 + q*r**2 + j*r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51295 to two decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 227 and 4210623.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 1194, 2583, 4548, 7101, 10254, 14019?\nAnswer: 18408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c**4 + 7*c. Let y(k) = -13*k**4 + 7*k. Let l(r) = 2*j(r) - 3*y(r). Find the second derivative of l(q) wrt q.\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345652853 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcdf when four letters picked without replacement from fcxfxcsfvxcxxvsvfxdc.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002953267 rounded to seven decimal places?\nAnswer: -0.0002953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 6*l + 6. Let h be y(5). Let c = 16 - h. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2299)*-2 + sqrt(2299))**2.\nAnswer: -4598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 16*l + 4. Is -4*633\/24*l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1797 + 2107. Calculate the remainder when f is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/2 + 411285*r - 33831070245\/2.\nAnswer: -5*(r - 82257)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.13 - -1.1300254. Round j to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 7939041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-19\/4)\/(t*(t\/(t\/(t**2\/t))*t)\/t)*(t\/(t**(-4)\/t))**4)**14 assuming t is positive.\nAnswer: t**(483\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -37*d**4 + d**2\/2 - 145*d - 6. Find the first derivative of v(m) wrt m.\nAnswer: -444*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and 6758.\nAnswer: 6758.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2222*w + 1 + 1.\nAnswer: 2222*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 6:53 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 4*n. Let k be u(5). Suppose -14 = -3*o + k. Calculate the remainder when 64 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = j - 80, -3*j - 3*h + 7*h = -295. Let b(w) = -3*w**2 + 15*w - 3. Let v be b(7). Let c = j + v. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.5 and -7711698155.128?\nAnswer: 7711698152.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2166, 4337, 6508, 8679, 10850?\n\"Answer: 2171*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1680 and -31\/84.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 52, 5, 3, -133 in ascending order.\nAnswer: -133, -2, 0, 3, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2 + 9*x + 14. Let o be j(-6). Put o, 13\/2, 0.1 in decreasing order.\nAnswer: 13\/2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-18)\/(k**(-21)\/k))\/(k**2\/(k\/k**(2\/127))))**(-4\/3) assuming k is positive.\nAnswer: k**(-1516\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 30 = -4*f, -399*f + 4*i - 20 = -396*f. Sort 5, f, 17 in decreasing order.\nAnswer: 17, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 58, 60, 64, 70, 78, 88?\n\"Answer: u**2 - u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/60 - q**4\/12 - 2*q**3\/3 - 2*q**2. Let b = 88 - 97. Let a be (-4)\/b*(-504)\/(-56). What is g(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12522267 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*m + 8 - 4, -2*b - 2*m + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246472327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 531, 1138, 2163, 3606, 5467?\n\"Answer: 209*b**2 - 20*b + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -42. What is the closest to -5 in 0.1, w, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38750 and 39750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(2*(-539)\/686)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 55. Let n be l(-10). Let x be 5\/3*(3 + (-65)\/n). Factor 4 - 10\/3*h - x*h**2.\nAnswer: -2*(h - 1)*(h + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i. Let b(a) be the third derivative of a**7\/1260 + 17*a**5\/20 + a**3\/3 + 58*a**2. Let f(p) be the third derivative of b(p). Give g(f(o)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*b - b**4 + 220*b - 3*b**3)*(2 - 5 + 4)*(2 - 2*b - 2).\nAnswer: 2*b**5 + 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*n - 5, n + 2*m - 6*m + 11 = 0. Suppose 8*b - n = 3*b. Is 12 a factor of 0 + 24 - 0\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13538, 54168, 121890, 216704?\n\"Answer: 13546*f**2 - 8*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4510 and 25184783.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f (base 16) to base 11.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 - 685*u**4 - 40*u**3 - 2*u**2 + 774*u - 149 wrt u.\nAnswer: 120*u**2 - 16440*u - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 7}. What is prob of sequence rrgr?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*r**2*s**4 - 236*r**2 + 29*r*s**4 - 7*r wrt s.\nAnswer: 60*r**2*s**3 + 116*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1560 divided by -3\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1674578078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-3476)\/866 - -4). Let u = 288 + z. Let j = -5 - -3. What is the nearest to 0 in j, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*k - 5*v, 6*k + 15*v = 7*k + 63 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.2, 1.1, -9\/4, 36\/17?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhf when three letters picked without replacement from {h: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*m**2 + 959*m**3 - 229*m**2 - 892*m**3.\nAnswer: 67*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -210 (b) 4 (c) -8\/3 (d) 13\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + x)*(-x**2 - 2*x**2 + 2*x**2) + 403*x**3 - 23*x**2 - 35*x**2 - 407*x**3 as q + k*x**2 + j*x**3 + b*x and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 151*s - 7*s**2 - 166*s + 10 + 12*s**2.\nAnswer: 5*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34578 = 164*w - 167*w. Let o = 189 - w. Suppose 4*h = 5*v + o, h + 0*h - 2940 = -v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51293661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -19*u**3\/6 - 7*u**2\/2 + 3*u. What are the prime factors of m(-7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3807863*h**3 + h**2 - 49*h - 4663 wrt h.\nAnswer: -22847178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52334154 (base 7) to base 16.\nAnswer: -4352c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146953301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5400 divided by 4\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7589580163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -160215 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993372837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13542 + -155582.071.\nAnswer: -169124.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52599 - -1314734\/25. Is -9 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 + 25*m**2 + 72*m - 3564 = 0. Calculate m.\nAnswer: -11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-3 + -2)) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + q - 48. Let w(h) = 2*h**2 + 2*h - 97. Determine -5*i(y) + 3*w(y).\nAnswer: y**2 + y - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2\/35, 2, -5, 0, 1\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261281.\nAnswer: 3, 7, 17, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 4*i**2 - i - 3. Let h be p(3). Let k be 0 + (71 - h)\/2. Calculate the highest common factor of k and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108976529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -1577*w**5\/60 - w**4\/24 + 2197*w**3\/3 + 721*w**2. Find the first derivative of g(c) wrt c.\nAnswer: -3154*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(sqrt(48)\/sqrt(6)) + 1)*5.\nAnswer: 5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:25 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = d + 6*p, -15*d + 18*d = -5*p - 1 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22549938 is divided by 137.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28396, -53481, -78566, -103651?\n\"Answer: -25085*x - 3311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6123 (base 8) to base 5.\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1124 - 1123.9999866. Round o to seven dps.\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5))\/y**(1\/10))\/(y\/((y*y*(y*y**4*y*y)\/y*y*y)\/y)*y*y\/(y*y**(-4))*y*y) assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 + -171. Calculate the remainder when i is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1488.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, 1 d, and 1 q when four letters picked without replacement from {t: 3, r: 10, k: 1, q: 3, d: 2}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from vvovvvovv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/8686270 and 13\/50.\nAnswer: 43431350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*y - 7*d + 4*d, 0 = -4*y + d - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 31 = 23*t + 4*k, 0 = 2*k + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27758 (base 10) to base 6.\nAnswer: -332302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42612 and 7638.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*k**3*s**3 + 22*k**3*s - 2*k**3 + 2283*k**2*s**3 - 2*k**2*s - k - 24*s wrt s?\nAnswer: 270*k**3*s + 13698*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 6*s**2 - 5*s + 11. Let v(d) = -2*d**3 + 15*d**2 - 9*d + 23. Determine -5*t(y) + 2*v(y).\nAnswer: 6*y**3 + 7*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 2.2. What is the third smallest value in 0.3, -0.1, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 + -71 - 93 - -67\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 4*j - 2. Let k be p(-3). Suppose -u - u - 37 = -3*y, -2*u - k = -y. Calculate the smallest common multiple of 4 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260*j + 2100*j - 1424*j.\nAnswer: -584*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 124 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167 and 6?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + (-1)\/3)*(-8550)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 6)*(3*k + k + 0*k)*(-3*k**2 + 1 - 1).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 30*n**2 - 2*n. Let j(h) = 3*h**2 - 4*h - 2. Let c(l) = 4*l**2 - 6*l - 3. Let w(z) = 2*c(z) - 3*j(z). Calculate w(b(i)).\nAnswer: -900*i**4 + 120*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 414207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/12 - 100*c**2. Let i(s) = 2. Let k(g) = 4*g - 72. Let d(h) = -72*i(h) - 2*k(h). Give y(d(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 89*s**5\/5 - 585*s**2\/2 + 375*s. What is the first derivative of l(u) wrt u?\nAnswer: 1068*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)\/(sqrt(11)*-1*3)*-4 - (sqrt(1584)*-2 + 3 + 2)) + 4)**2.\nAnswer: -152*sqrt(11)\/3 + 63545\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**3)**(7\/5))**16 assuming t is positive.\nAnswer: t**(448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -1\/8, 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*1 - -1. Let m(z) = z**2 - 762*z + 79627. Let g be m(125). Solve -o = -5*l - g*o - 25, o = s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.94 - 0.06. Let b = h - -23. Sort -1\/3, b, 5\/4, 0.02 in descending order.\nAnswer: 5\/4, 0.02, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 872202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 - 2*n**2 + 3*n**2. Let u = -67 - -75. Let t(y) = 3 + 5 - u - y. Give b(t(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*x - 6365118, 2*s + 2*x = -4541819 + 298431. What is s rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234681 - -234792. Let n = -11 + 17. Suppose 3*o + 330 = n*o. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*k + 67, 4*b - 5*k = -9*k + 1000 - 1076 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 32*d**2 - 61*d - 29. Let m = 18214 - 18244. Determine k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4*(-1 + 3). Let h be 12\/l - (-2)\/7. Solve -h*k = 2*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17911997, -17912005, -17912013, -17912021, -17912029, -17912037?\n\"Answer: -8*n - 17911989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77.5 - -77. Let l = -4 + 3. Which is the smallest value? (a) n (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81, -86, -91, -96, -101?\n\"Answer: -5*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:34 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -1\/2*a**3 - 20*a + 0 - 2*a**2. Let j(v) = 4*v + 5. What is -3*g(q) - 2*j(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3702 - -3748. Calculate the remainder when 1045 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35941 + 35944. What is x in 2\/5*x**4 - 8\/5*x + 16\/5 - 12\/5*x**2 + 2\/5*x**w = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-164)\/(-42) - (-9 + 427\/147 + 6). Suppose 2\/3*s**h + 0 - 2\/3*s - 2*s**3 + 2*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -377, 5?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1928*b*j*k + 67*b*j - 11*b*k + b - k + 4677 wrt j?\nAnswer: -1928*b*k + 67*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/9, 1\/3, 9.3, -5, -0.5 in increasing order.\nAnswer: -5, -0.5, 2\/9, 1\/3, 0.5, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + q**4 + 3*q**3 + 19 - q - 38 + 2*q**2 to the form p*q**3 + f + l*q**2 + h*q + x*q**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from ohaohioiohoinoohaz.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = -z. Suppose 0 = -3*s + 5 + 1. Let p(d) = -1. Let v(k) = 4*k + 1. Let m(u) = -3*u - 2. Let a(w) = 3*m(w) + 2*v(w). Determine s*a(x) + z*p(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1, 248.709, -2\/13 in decreasing order.\nAnswer: 248.709, 1, 3\/4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*7\/(-26)*112\/196?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 39. What is the units digit of a(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110.63139 months to centuries.\nAnswer: 0.092192825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-148)\/10 - -15)*40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-20)*j**(-3\/4)*(j\/j**(-18\/11))\/j*j**(-10\/3)\/j assuming j is positive.\nAnswer: j**(-2963\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2 - 9002*f - 20259001 = 0.\nAnswer: -4501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1058309\/100 + 10583. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 + 9573*l**2 - 19149*l + 9575 = 0. Calculate l.\nAnswer: -9575, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -435337 divided by 7\nAnswer: -62191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/16*72\/210 + -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1681271 or -38669254\/23?\nAnswer: -38669254\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -270838 + 0.33?\nAnswer: -270837.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3528 - -3540. Solve -g*h = -0*h - 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 313980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*d - 814 = 0, 5*d + 998 = 4*n - 632. Which is smaller: n or 391?\nAnswer: 391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 117, 83, 23, -69, -199, -373?\n\"Answer: -w**3 - 7*w**2 - 6*w + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, y: 9, o: 2, m: 1, n: 1}. Give prob of sequence coc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 6 - 5 + 3*f**2 - 3*f - 3. Let u be (-4)\/14 - 48\/(-21). Calculate w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 2*j - 2 - j. Suppose -5 = 3*b + 16. Let g be 2\/(-7) + (-16)\/b. What is y(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -17. Suppose 0 = -4*f - 3*h - 392, -f - 2*h - 98 = -0*h. What is the common denominator of (f\/v)\/(36\/15) and -49\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*n + 2, -9 = -5*k - 2*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = 2*m - 12, 3*b + 3*m = -3. Let f(x) = -24*x**3 - 1. What is the common denominator of f(1) and (1\/(-5))\/(b\/(-58))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 45.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 0.4 (c) 6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u + 4. Let c be f(-3). Suppose d + 5*y = c, 53 = -d + 6*d - 4*y. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4389 or 4391?\nAnswer: 4391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -88. Let h = 173 + -151. What is the greatest common divisor of f and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1672 + -573495\/343. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 16*s - 33*s + 54 = -12*s, -x + 2*s - 17 = 0 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/4269 + 25592\/46959. Find w, given that 2\/11*w**3 + 0 + 4\/11*w - f*w**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 16. Let d(v) = -5*v**2 + 126*v - 17. Let c be d(25). Let f(q) = 2*q**2 - 7 - c + 15. Give a(f(l)).\nAnswer: 12*l**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - (-1 + (-66)\/(-18)). Let j(f) = -f**2 + 2*f + 3. Let g be j(3). Suppose 5*y + 11 + 4 = g. Is d at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 - 11.3. Let l = -9.005 - k. Round l to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(2\/(-15)). Suppose 3*u + 6 = 36. Solve 14 = -d*v - 3*w, 4*v - u = 4*w - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 10 + -2 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0153 - -310.9847. Let c = r - 310.8. Put c, 0.3, -2 in ascending order.\nAnswer: -2, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11219009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550957777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 - -1.736?\nAnswer: 1.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 25. Suppose -k - k - 11 = -h*a, -3*k = 4*a - 26. Suppose -5*p + 2*q = -181, -k*p + 4*q + 0*q + 66 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2176802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2722 - -51?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 381312180 and 4710?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**(1\/28)\/(k**3*k*k*k**(-1\/4)) assuming k is positive.\nAnswer: k**(-401\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**7\/105 - m**5\/12 - 10*m**2. What is the third derivative of n(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -34. Let j = 3 + w. Let i(s) = -3*s - 6. Let q(n) = -n - 2. Determine j*q(a) + 2*i(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 825582 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -425944, 3, 0.\nAnswer: -425944, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10 = 2*v, -2*h - 5*v + 6 = -4. Let t(w) = -23*w - 22. Let o be t(-3). Let i(d) = -23 + o + d - 23. Determine i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80 and -1108?\nAnswer: -88640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -308*i - 9934. Calculate q(-33).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3 + l + l - l - 2. Let u(r) = -r**2 - 5*r - 2. Let v be u(-4). Let c(a) = 4 + 0*a + 5*a + a**2 + 2*a**v. Determine -c(i) + 4*n(i).\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 2. Let p = 10 - 27. Let v = 3 - p. Let x be -8*(4 + (-85)\/v). Determine s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 3*l**2 - 2*l + 4. Let j be m(2). Factor -2\/11*a**j + 0*a**2 + 4\/11*a + 2\/11 - 4\/11*a**3.\nAnswer: -2*(a - 1)*(a + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1656674*l**2 - 40114*l**3 + 1656674*l**2.\nAnswer: -40114*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192977, -771901, -1736775, -3087599, -4824373?\nAnswer: -6947097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/24*1)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 35 = 4*i - 9, 0 = 3*c - 3*i - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 0 = -h. Let a be 4\/(-42)*h\/336. Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882\/17 at most 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/12)\/(3\/8). Let c = 6.3 + 0.7. Let y = c + -6.5. Put 3\/4, w, y in increasing order.\nAnswer: w, y, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 - 41 = -3*b. Let l be (28\/(-30))\/(9\/(-735)). Let g = l - b. What is the closest to -0.1 in g, 4, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 + 1404\/7. Determine b, given that 0 + 81\/7*b**4 + 40\/7*b**2 + 117\/7*b**3 + m*b = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**8\/560 - w**7\/80 + 3*w**6\/80 - w**5\/16 + w**4\/16 + w**3\/3 - 7*w. Let g(f) be the second derivative of v(f). Factor g(k).\nAnswer: 3*(k - 1)**3*(2*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 60 - 48. Let c(r) = r**2 - 16*r + 48. Let h be c(x). Let f(b) = -3*b - 2. Determine f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -32*z - 35*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 403742189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 - 47 - 24 = 32*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - t**3 + t + (-4*t**2 - 2*t**2 + 8*t**2)*(-1 + 1 + 5*t).\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3345680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21693 + -15041. What are the prime factors of s\/1*(-27)\/(-108)?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 155.2511 weeks?\nAnswer: 93895865.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -2) + (-7 - -9) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19016 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5143111*h**2 + 5143027*h**2 + 4 - 4.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let d = -1 - k. What is the units digit of ((-4)\/1)\/(d + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -75*h**2 - 206*h + 12. Let n be r(-3). Let s = 2 + 0. Let d be (-6)\/n + s + (-352)\/(-60). Solve -m - d = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.87 - -0.57. Let k = 3 - 0. Which is the third biggest value? (a) s (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32210671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2567 or -2116?\nAnswer: -2567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/8 in -5, 1, -0.02, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004195745592 rounded to 5 dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2239148.\nAnswer: 223914.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/((-3)\/75). Suppose -2*t = 3*t - f. What is the closest to -0.1 in 5, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 24. Let x be w(1). Calculate the greatest common factor of 374 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 79 = 4*z, 3*t + 4*z + 104 = -t. Let d be 4\/(-18) - t\/(-9). Let a(r) = 12*r + 70. Let o be a(-6). Is o greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-52) - 3\/(-12))*(-32)\/2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/6231 + 14\/201. What is the fourth smallest value in 2\/11, 1, s, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 8, u: 2, o: 2}. Give prob of sequence uot.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 16*p = -13*p - 10, 0 = -2*h + 2*p + 4. Calculate the lowest common multiple of 1 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 less than -0.0992501?\nAnswer: 90.9007499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*f + 3*d**2*q**2 - 2*d**2*q - 2*d*f*q**2 - 2*f*q**2 - 11*q**2 wrt f.\nAnswer: d**2 - 2*d*q**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -51, -72?\n\"Answer: -21*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3000 (base 5) to base 4.\nAnswer: -11313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 885574 divided by 3.\nAnswer: 885574\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -6) + (2 - -1) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a59 (base 15) to base 7.\nAnswer: 6543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301 (base 6) to base 8.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x - 99 = -39 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = n - 2*v - 2, -22*n - 31 = -21*n + 4*v for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -25, 4, -0.3, -24\/79 in descending order.\nAnswer: 4, -2\/9, -0.3, -24\/79, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 49. Suppose 0 = 3*t - 4*n + 28, v*t + 16 = 4*t + 5*n. Let s(d) = d - 2*d - 15 - d**2 + 19. Calculate s(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0054782 days to nanoseconds.\nAnswer: 473316480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106818 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 224 - 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azaaazazrzr. What is prob of picking 1 r and 2 a?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108624, 217237, 325850, 434463, 543076?\nAnswer: 651689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*c*c*c**(-3\/5)*c)\/(c**(-2\/7)\/c)**(-46) assuming c is positive.\nAnswer: c**(-5944\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 351479, 351644, 351813, 351986, 352163, 352344, 352529?\n\"Answer: 2*l**2 + 159*l + 351318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t = -i + 329, -4*t + 2*i + 326 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323801 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: Is 13 a factor of 107534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*s = 40, 2*m - 34 = 4*s - 66 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adllf. Give prob of picking 1 f and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -4)*-6 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5087707, 5087689, 5087671, 5087653?\n\"Answer: -18*a + 5087725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 38\/460637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-5 - -3) - -22. Suppose -4*v + 3*l - 4*l = -i, -15 = -3*v + 3*l. Let t(q) = -q + 5. Determine t(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11)**(3\/23) assuming k is positive.\nAnswer: k**(33\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*q = 95*q - 788*q + 41530 - 12922 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/4401 - 8836\/74817. Let y = 3.9 + -3.3. Which is the closest to -2? (a) o (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 27, 23682 in descending order.\nAnswer: 23682, 27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyc when three letters picked without replacement from cjucohjy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*d**3*x + 72699*d**3 - 107*d*x + 2*x wrt x.\nAnswer: -17*d**3 - 107*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 570*b - 575*b + 26557, 4*s - 26620 = 4*b. Calculate the least common multiple of s and 20.\nAnswer: 33240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(-12*(-364)\/(-1344))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 2181. Let v(r) = -4*r - 2191. What is -3*s(f) + 2*v(f)?\nAnswer: f + 2161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/112165 or 1?\nAnswer: -3\/112165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.176 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401226301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*f - 5*g, 4*f + 113 = 3*g + 94 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 493788?\nAnswer: 1975152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 5*k**4\/12 - 7*k**3\/6 - 4*k. What is the second derivative of g(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*r - 1 - 18 = 0, 3*r - 33 = 5*y. Which is the biggest value? (a) -2\/3 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287646631 to the nearest integer?\nAnswer: 16960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -727356\nAnswer: -29\/727356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 669 and 931917?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19056525 and 55?\nAnswer: 209621775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 0 - sqrt(847))*5*5 + (sqrt(252) - (1*(1 + sqrt(252) - sqrt(252) - sqrt(252)) + sqrt(252))) + 1 + 1)**2.\nAnswer: 12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197566 and 1730?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 - 7*g**4 + 3*g**4 + 0*g**4 - g**4 + 0*g**4 + (14*g**3 - 9*g**3 - 4*g**3)*(2*g - 5*g + 2*g) as q + v*g**2 + p*g**3 + h*g + a*g**4 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1801 and -2.5.\nAnswer: -2.3199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 6184*z - 717739. Determine n(112).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81, 313, 701, 1245, 1945?\n\"Answer: 78*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93839?\nAnswer: 107, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*v - 3*v + 10, 0 = 4*v + 2*c - 20. Solve -3*y = -5*d + v, -y + 0*y = 2*d + 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -16) + 2 + 27\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3996 divided by -37?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42864.99999891757 + 42865. What is l rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by 2.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 178197142 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-86)\/(-30) - (-2)\/15. Find the second derivative of x**4 - 5*x + 395*x**z - 7 - 395*x**3 - 9*x**2 wrt x.\nAnswer: 12*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + 68. Calculate the greatest common factor of 106 and j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let x be u(-2). Let q = -433\/4 - -109. Is x > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-5)*(-1241 + 1236). Let u = 94 + -64. Calculate the highest common divisor of l and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6497786 divided by 209606?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h + 1303 - 676 + h**2 - 661. Let k be c(-15). Solve -7*p + 3 = -k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/19 + -97\/190. Suppose 783*b = 854*b - 67 - 4. What is the third smallest value in 3, b, a, -0.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -1045, 46\/27?\nAnswer: -1045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 32 - 29 + 3*j**2 + 3*j**4 + 0*j**4 - 5*j**4 to v*j**3 + t*j**4 + b*j + g*j**2 + q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(14) - sqrt(14)*-2*4))*4)\/(-1*sqrt(288)*2).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18404192 + 611023.\nAnswer: 19015215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:27 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 345709 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 7 = j - 4*z, -92 = 16*j + z - 79 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 446 and 206498.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13236973 - 13236973.32599628. Let n = r - -0.326. What is n rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from wwwjwwjwjwjwwj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((11 - 4) + -9)\/(-13)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.3069 rounded to one dp?\nAnswer: -23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 3*m**2 + 8*m + 7 - m**2. Let c = 14 + -41. Let y = 21 + c. Calculate q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563525199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -89*l**3 - 2*l**2 + 1. What is the units digit of z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*l + 4*y + 15, 4*l - 17 = y. Suppose -l*h = r - 14, 2*r + 4*h - 8*h - 64 = 0. Calculate the highest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 2, a: 4, q: 1, t: 2}. Give prob of sequence tccq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10010100010111001100111?\nAnswer: 10010100010111001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 81?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 4*v**5\/15 + v**4\/12 + v**3\/6 - v**2\/2 + 2. Let k(x) be the second derivative of l(x). Is k(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(-2)*16\/(-6400)*16*-25.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 - l**3 + l**3)*(0 + 0 - 2*l) - 3*l**5 - 2*l**5 + 2*l**5 + (1 - 1 - 5*l**2)*(9*l**3 - 2*l**3 + 0*l**3).\nAnswer: -42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/6 - 4*x**3\/3 - 7*x**2\/6.\nAnswer: -x**2*(x + 1)*(x + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9548.577 + -9556. Let r = x + 4.872. Let h = -2.6 - r. What is h rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -243*y - 28424. Calculate q(-117).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 6*l - 4. Let w = 18 - 9. Suppose -w*u + 4*u = 15. What is t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8480 = 125*o + 93*o - 5690 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2\/5 + 6928*d - 14912944\/5 = 0.\nAnswer: 436, 34204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 1824*k**2 + 1827*k.\nAnswer: -3*k*(k - 1)*(k + 609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3707 + 3*t**2 + 3*t**2 + 2*t**3 - 2*t - 2*t**4 + 3702 to v*t**3 + h + f*t**2 + q*t + s*t**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3111*s**2 + 86260*s**3 + 708*s**2 - 87079*s**3 wrt s.\nAnswer: -4914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39117896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26574 - -55328. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Suppose 5 = -k + 3, 0 = -4*y - k + 158. Let f be -17 - 166\/(-10) - (-26)\/y. Which is the nearest to 0.2? (a) -4 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyxjvvyz. Give prob of picking 1 j, 1 y, and 2 v.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 131034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1089443125 divided by -2800625.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*i = 117*i + 3872 + 4128 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 288*v + 804 + 5592 - 636 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 407?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -61773636 divided by -38\nAnswer: 1625622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 14*m**2 - 23*m + 121. Let r be j(15). Sort -3, r, -1, -12 in descending order.\nAnswer: r, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40628 or 365648\/9?\nAnswer: 40628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + p - 6*p)*(3 - 3 - p + (-2 + 4 - 4)*(-3*p + 5*p - p) + 7 - 7 - 9*p)*(-p + 7*p - p) in the form i*p + r*p**3 + q + s*p**2 and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4\/11))\/(((a\/a**5)\/a)\/a)*a\/(a\/(a\/(a\/(a**(3\/5)\/a))))*a*a**3 assuming a is positive.\nAnswer: a**(563\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2*6\/18)\/(2\/(-183)) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/22 + (-140)\/(-44). Let s(n) be the first derivative of 0*n + 2\/5*n**5 + 0*n**4 + 1 + 0*n**a - 1\/2*n**2. Find the second derivative of s(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 85 = j, 26 = 4*r - j - 42. Let n(h) = -9*h + 155. Let a be n(r). Which is bigger: -38 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.3, 13, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 q when three letters picked without replacement from {n: 5, g: 2, w: 8, d: 3, q: 1, y: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + -64. Suppose c = 59 - 37. Suppose 49 + 325 = c*q. What is the remainder when g is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*z**3 - 148\/7*z - 94\/7*z**2 - 50\/7.\nAnswer: 2*(z - 25)*(z + 1)*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, -112, 0.4, 10\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 49. List the prime factors of (c\/(-9))\/(2\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**(-13)*r)\/r)\/(r*r\/(r*r**(9\/7))*r) assuming r is positive.\nAnswer: r**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 428539 - 225\nAnswer: 428314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + p - 9 = 2, 0 = 4*r - 4*p - 28 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9826 minus -0.2?\nAnswer: -9825.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3 + 18816*i**2 + 25388370*i = 0.\nAnswer: -1197, 0, 10605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -10. What is the second derivative of -14*x + 6*x**2 + k*x + 4*x**2 wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/15*(-20)\/6. Suppose 2 = -f + l. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955265493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -344331545425 from -867.\nAnswer: 344331544558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8709142 take away 0.34?\nAnswer: -8709142.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1133\/165 + 12\/90. Solve -n + 7 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -411064*o**4 - 366681 wrt o?\nAnswer: -1644256*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5190, -11, -426.\nAnswer: -426, -11, -4, 5190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-70) + (-3)\/15 + 0.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8434.536ml to litres.\nAnswer: 8.434536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**3 + a**3 + 0*a**3 + 14*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h - 14. Calculate m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 4, s: 1, n: 3, l: 2, t: 3}. What is prob of picking 1 n, 1 o, and 2 z?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = -5*j, 0 = 4*i - 5*j - 11 - 0. Suppose 0 = 2*k + 4, -50 = -2*o + i*o + 4*k. Let y = -21 - o. Solve 3*a - 2 + 8 = y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2 + 3) - (42 + (-97 - -42)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/30 + (7 - 204\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2661 = 5*k + 2695, -5*k + 128 = 4*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -421*q + 1130. What is n(3)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*f = -190, 21 + 374 = 2*i + 5*f. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -1*(15 + -4). Suppose q*i = 4*i + 384. What is the highest common divisor of i and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(14)\/sqrt(2) - sqrt(7)) + sqrt(7)) - (sqrt(5) + sqrt(5) + (-1 + sqrt(5) + 2)**2).\nAnswer: -3*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, -33, 1, 0 in ascending order.\nAnswer: -33, -5, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + x = 29, -3*x + 8 = i - 14. What is the remainder when 50 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 + 5124785*r**4 + 1313235123315*r**3 + 32828735951955*r**2 + 271816055878680*r + 744531672277260 = 0. Calculate r.\nAnswer: -512466, -9, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.8 + -12. Let i = w - -0.5. What is the second biggest value in i, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359963570.\nAnswer: 2, 5, 23, 1565059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 27 - 71 = 0. Suppose -3 = s*d - 12*d. Solve -4*l - d*m = 12, -3*l + 3*m = 5*m + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/3 + (-2)\/6. Let u = 48 - w. Suppose f - u = -2. Solve -2*m - 6 = -p, -4*m - f = -2*p + 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than -1728\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 46.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6514*g = 5273 + 11226 + 35613 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) 1\/4 (c) 1\/2 (d) 1\/6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = 2*o, -5*o + 2 = -d + 5. Let s be -7*(d - (-36)\/21). Solve -s*j = -0*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-1 - (-15 - -7) - 7 - -26).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, -241, -1111, -2681, -5185, -8857, -13931, -20641?\nAnswer: -29221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.976 at least as big as -3.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -222, -331, -438, -543, -646?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/4))**20 assuming v is positive.\nAnswer: v**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -5172.7 and 269388.\nAnswer: 264215.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10159 + -10163. Which is the nearest to -0.024? (a) y (b) 1 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(140)*2)\/(-5*(sqrt(7)*-2 + sqrt(7))) - (sqrt(50) - (sqrt(50) - 1*(sqrt(50) - -2*sqrt(50))))\/(sqrt(10) + sqrt(1440)*-1 + sqrt(10)).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 21*k**2 - 108*k - 21. Determine l(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.80272 - 0.09728. Which is the nearest to -4? (a) -1 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-121)\/(-44) + 2\/8. Solve 4*j + 2 = 5*a, -16 = -h*j + 3*a - 8*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f - 173. Give w(-22).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1434 + -504. Let l = d - -2807. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6567591738.\nAnswer: 2, 3, 31, 241, 146513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 469826489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4648 + 12*a - a + 16296 - 6*a.\nAnswer: 5*a + 11648","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 6, 0.014, -3\/7, -38?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22982 is divided by 229.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 + 539 = -7*y + 300 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-3 + sqrt(3))*-4.\nAnswer: 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90626668 and 20?\nAnswer: 453133340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*2\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-405)\/10 - (-2)\/(-4). Let y = h - -49. What is the least common multiple of y and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 18*a - 202. What is the lowest common multiple of m(8) and 2339?\nAnswer: 14034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3252\/36 - (4\/(-6) - -1). Suppose 5*v - 678 = -3*i, 9*v - 5*v - 535 = 5*i. Calculate the highest common factor of k and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0.5, -1\/10, -11, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/22)*b*b*b**23)\/(b*b**(3\/31))**3 assuming b is positive.\nAnswer: b**(15457\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {h: 4, p: 3, o: 2, z: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 2. Let s be r(-4). Let n be s\/(-4)*(74 - 0). Is 17 a factor of -3 - 3\/((-3)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -288376*u**5 - 17*u**2 - 1778*u - 2795?\nAnswer: -5767520*u**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20099 + -20103. Let s be (-4)\/13*2\/4. Which is the nearest to z? (a) -0.1 (b) s (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*k**3 - 9*k**3 + 4*k**3 + 17*k**2 wrt k?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.7519 - 0.0919. What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 6878*w - 3488*w - 3458*w.\nAnswer: -68*w + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1405 * 4186\nAnswer: 5881330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + n + 2. Calculate y(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7485588 and 2495196.\nAnswer: 7485588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1351, -1373, -1409, -1459, -1523, -1601, -1693?\n\"Answer: -7*q**2 - q - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -24102?\nAnswer: 24115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102225110 (base 7) to base 3.\nAnswer: 102100212201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l**3 - 5*l**2 + 5*l + 3. Let x(g) = 2*g + 1. Let s be x(-3). Let b(y) = -1 - 4*y**3 + 35*y - 3 + 3 - 37*y + 2*y**2. Calculate s*b(n) - 2*v(n).\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(95) + sqrt(95) + 2*sqrt(95)*3 + sqrt(95) + sqrt(95))\/(-5*sqrt(45)))*-2.\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/3*-1)\/(41\/(40 + 83)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 165*w + 168*w - 5 = 0, -3*g = -3*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 18*o**2 - 57*o + 4. Let q be a(4). Are 2\/741 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*c - 16. Let j = -2 - c. Suppose j = -k - 4*p + 31, 4*p - 43 = -3*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 270, 1013, 2470, 4881?\n\"Answer: 40*y**3 - 3*y**2 - 2*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1788.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 13 (c) 4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 344842652 and 344842653 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 1. Let j(l) = 7*l - 2. Let r(i) = -11*b(i) - 6*j(i). Let z be 9\/4 + 4\/(-16). Determine r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*n - n - 31, -43 = 5*n - d. Let v be 2*(-5)\/(-2) - 0. Let u = v + n. Is 0 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12*k**3 + 5*k**2 - 14*k - 4. Let q(r) = 23*r**3 - 9*r**2 + 29*r + 7. Give -5*h(i) - 3*q(i).\nAnswer: -9*i**3 + 2*i**2 - 17*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:56 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 444*i**3 + i**2 - 9*i + 22. Suppose 14 = -2*g + 4*g - 4*n, 35 = 5*g + 2*n. Let m be t(g). Round m to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29101680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, x: 7, a: 1, g: 3, r: 3}. Give prob of picking 1 r and 1 a.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 2 s when four letters picked without replacement from aslsllaalaaza?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3011*g**3 - 5*g**2 - 2733*g**3 + g - 3*g**6 + 0*g**6 - 5 wrt g?\nAnswer: -360*g**3 + 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 315 + -682. Let k = 367.00000009 + a. What is k rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 119458 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1 + 2\/3*u**3 + 0*u + 0*u**2. Let h(i) be the third derivative of i**5\/60 - 2*i**2. Determine h(z(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/35*(-6 - (6 - (-2114)\/(-21))). Solve -25*g = -n - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -316134 from 2.\nAnswer: 316136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 + 3.4. Which is the fourth biggest value? (a) 2 (b) 0.4 (c) j (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 80 = 4*m. What is the third derivative of 3064*b + m*b**4 - 3064*b - 7*b**2 wrt b?\nAnswer: 960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3552 and 1716576.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)*(-2 + 1) - -2. Solve -4*s + s = z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-three fifths of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-3) + 4 - 2)*-1. Factor -2\/3*q + r - 1\/3*q**2.\nAnswer: -q*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {i: 15, f: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 - 11?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.10684961 to 3 dps.\nAnswer: -8.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/((-6)\/(-15)). Suppose 5*g + 7 = h*p, 3*p + p - g - 5 = 0. Let j be 0 + p - 28\/(-7). Solve 0*l + 8 = -x - 5*l, -3*x + j*l - 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from rrrrrhrrrhr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/315 - 67\/315. Sort 4, 0.1, f, -3 in ascending order.\nAnswer: -3, f, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 145. Suppose 0*j - 4*x = -j - 16, 5*j - 3*x + 12 = 0. What are the prime factors of f(j)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose -j = -2*z - 6, -r*j = 4*z + z + 6. Find the second derivative of -p**4 + j*p - 3 + 3 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 81658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29651 * -0.12\nAnswer: -3558.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.5*-5.\nAnswer: -62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 + 6 + (-29152)\/(-36). Suppose -w = 8*q - 3320. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 435.\nAnswer: -4\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (96 + -105)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -437252.5427 rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/5 - 32*y**2 - 313*y\/5 + 474\/5 = 0.\nAnswer: -158, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 2\/1253 in decreasing order.\nAnswer: 2\/1253, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*l**2*y**3 - 31*l**2*y**2 - l**2*y + 3*l**2 - 22298*l*y**3 - 2*l*y**2 - l wrt y?\nAnswer: 486*l**2 - 133788*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31134?\nAnswer: 2, 3, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-42))\/((-1449)\/(-49) + -29)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 109 (b) 4 (c) -2 (d) 0 (e) 287 (f) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**5\/35 + 20*b**4\/7 - 32*b**3 - 9179. Factor a(q).\nAnswer: -2*q**2*(q - 28)*(q - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 - 8*m**2 - 16*m**2 + 56*m**2 - 11*m**2 - 13*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63, 269, 611, 1089, 1703, 2453, 3339?\n\"Answer: 68*f**2 + 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20230046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 + 12*x - 10. Let w be c(-9). Let a = -42 - w. Let r be (-21 - -19)*a\/2. Solve 4*n - r = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -51\/1820?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2984951 and -2984955 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -882*g**2*h**2 + g**2 + 37*g with respect to h.\nAnswer: -1764*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 149. Let f be z(-15). Is (-1753 - f)\/((-18)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4420 (base 5) to base 16.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b - 15. Let f be d(10). Suppose -4*u - 13 + f = 0. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 0.7 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114*h - 114*h - 17*h**2)*(-2*h - h - 3*h) to d*h**3 + m*h + p*h**2 + y and give d.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 179*h**2\/2 + 611. Let s(i) = -3*i**2. Give s(w(c)).\nAnswer: -96123*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - -166. Suppose 18*g = 10*g + i. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/2150 and -39\/2078.\nAnswer: 2233850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1685 + 1751. What is the remainder when 125 is divided by f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 51, -2.\nAnswer: -2, 45, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/5 + 1157\/445.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -112189, 5 in ascending order.\nAnswer: -112189, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssssszkzfzskkkk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -244*b - 6853. Give v(-26).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/58570049?\nAnswer: -2\/58570049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089820.409 rounded to the nearest 1000?\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 = 2*y, -64 = -4*y + 4*m - 0*m. Let c be 10\/y*(3 - -3). Suppose -4*o + 0*o = 5*t + 29, 4*o - 5*t = 21. Which is bigger: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-551)\/(-348)*27*3\/(-27)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -190\/943?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 144. Let v(g) = -297*g**2 - 1. Let m be v(q). Let d = 558 + m. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6504271.\nAnswer: 271, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33782 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/(-208)*8\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1263771 by 6.\nAnswer: -421257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o + 8611 + 5493 = -34*o. Calculate the highest common divisor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 5*g**4 + 3*g**3 + 4*g**3 + (-g**2 - 3*g**2 + 3*g**2)*(g**2 - 3 + 3) - 2*g**4 - 2*g + 2*g + 0*g**4 + 2*g**4 - 4*g**4.\nAnswer: -6*g**4 + 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4075 + 0.0075. Sort 2\/11, 0, v, 0.3.\nAnswer: v, 0, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696006817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 6*d. Let z(u) = 6*u. Let x(s) = 4*w(s) + 3*z(s). What is the second derivative of x(m) wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 88 + 85 - 172. Let g(p) = -p + 4. Calculate 6*g(b) - 22*v(b).\nAnswer: -6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**3 - 8*u**3 - 5*u**3 + (2*u**2 + u**2 - 2*u**2)*(3 - 3 + u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, -2\/3, -2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186000022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**7\/168 + a**6\/30 - a**5\/16 + a**4\/24 + 13*a + 21. Let m(n) be the first derivative of o(n). Factor m(k).\nAnswer: -k**2*(k - 2)*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 519, 779, 1039, 1299?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 12, 3*h - 484*d + 0 = -489*d + 29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvms when four letters picked without replacement from dvmjjjs?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -255, -1035, -2337, -4161, -6507?\n\"Answer: -261*j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457 - 447. What is the lowest common multiple of g and 274?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 8*d**2 - 9*d + 2. Let f be q(-9). Suppose f*a - 5*x - 21 = 0, -33 = -4*a - x + 2*x. Calculate the greatest common factor of a and 224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840)\/sqrt(10) + sqrt(4))\/sqrt(2).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 2*d - 126, 785*c - 786*c = 28*d - 36 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0*b + 79*b**3 + 8*b + 8*b**2 - 29*b**3 - 24*b**3 - 25*b**3 + 4. Let m(u) = u**2 + u - 7. Let o be m(0). Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80140347 to the nearest integer?\nAnswer: 8952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {l: 1, g: 6, c: 1, q: 4, d: 8}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 5596361449.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226757.5 millennia to centuries.\nAnswer: 2267575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2 = -2*c, 0*c - 1 = c - p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, n: 1, m: 1, q: 2}. Give prob of sequence nqm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + 1 + sqrt(2))**2 + ((0 + sqrt(200))*-1)**2.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*z + 11, 13 = -4*z + 3*v - 9. Which is the closest to z? (a) -3 (b) 0.4 (c) 2 (d) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -639? (a) -0.6 (b) 0.2 (c) 221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 2*q + 0*q)*(2 - 4*q**3 - 2) - 7 + 3*q**4 + 7 as j*q**4 + g + w*q**3 + x*q**2 + d*q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.137971 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16683225 to the nearest integer?\nAnswer: 4085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/8 (b) -6 (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -125. Suppose 4*j = u - 8. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2193297301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = j + 2, -79*v + 19*j = -78*v + 73 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 4:38 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.2 (c) 2 (d) -2\/160983\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2601.4 + 2025. What is w rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**2 + v - 4. Let y(h) = -h**3 + 2*h**2 + 1. Let n be y(2). Let j be (n\/(-1))\/((-1)\/(-3)). Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -304*w**3 + 651*w**3 - 286*w**3 + w**2 in the form b*w + i*w**3 + u*w**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434583347.\nAnswer: 11, 39507577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -30. Suppose 5*v = l*v. Solve -2*y - 3*y - 10 = v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54, -116, -192, -282?\n\"Answer: -7*y**2 - 41*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -14. Let j = z - -3. Let t = 3 + j. Which is bigger: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 + 5*o - 1. Let f be u(0). Which is smaller: 2\/57 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 686, 2668, 4650, 6632, 8614, 10596?\n\"Answer: 1982*s - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 33. Let v be o(0). Let m be (-4)\/2 + 1 - v. Let z be (-3)\/12 + m\/(-8). Solve r = -z*a - 7, -8 = -4*r - 3*a - a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*m**4 - 3900*i - 457*m**6 - 11*m**2 wrt m?\nAnswer: -24*i*m - 54840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64960 divided by -203.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5349952535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 7*y - 2. Let o be v(7). Let x = 3 + o. Is ((-9)\/15)\/(x\/(-25)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*t - 60, -5*t + 0*t + 6 = b. Solve 11*g = b*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from jwyay?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10188, 20572, 31156, 41946, 52948, 64168, 75612?\nAnswer: 87286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -581901345 by 888399.\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 228*i**2 + 387*i + 70684. What is f(231)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.148 and 88.8973.\nAnswer: -13.1568004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 114325629 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from {l: 2, z: 10, s: 4, i: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 416821639, 416821641, 416821643, 416821645, 416821647?\n\"Answer: 2*t + 416821637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 + 179. Which is the nearest to 1\/4? (a) 4\/7 (b) w (c) -3 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 32*t - 273. Let l be m(15). Suppose -4*n - l = -3*r, 52*r - 48*r = -3*n + 251. Calculate the least common multiple of 130 and r.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33942 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f + 41. Let k(d) = d**2 - 17*d + 121. Give 2*k(j) - 7*y(j).\nAnswer: 2*j**2 + j - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -4. Suppose 5*z + 5*s = 50, 0*s = 4*z - a*s - 22. Let u(d) = -6*d**2 + 3*d - 2 - 15*d + 3*d + d**3. Determine u(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3) - sqrt(27)\/(2*sqrt(9))))**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-483)\/322)\/((32 - -1)*3\/(-12)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + f**2 - 2*f - 23)*(-5*f + 5*f - 40*f)*(1 - 2 + 2) as p*f**3 + m*f + s*f**2 + c and give s.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*h + 4*h**3 - 141*h)*(-h - 3*h + h) + 24*h**4 - 9*h**4 - 12*h**4.\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-495)\/(-44) - (-3)\/(-12). Suppose 0 = 2*y + w*y - 26. Solve 0*n = y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/14 and -41\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4105186497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 92 = -4*n + 192, 4*n - 80 = 16*j for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 3. Let t = 1326 + -11936\/9. What is the third biggest value in t, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 116*c + 366.\nAnswer: -2*(c - 3)*(c + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382229322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 19*a**2 + 20*a + 3. Let z be n(-20). Solve k = 6 - z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30888*b**6 - 22*b**2 - 69*b - 3 wrt b.\nAnswer: -3706560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:33 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 625048769 to the power of 1\/3, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:52 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 147*52686\nAnswer: 7744842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 46*m**3 + 12*m - 12. Calculate h(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19237 (base 13) to base 9.\nAnswer: -73741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2996, -0.1, -3.38?\nAnswer: 2996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 22*k**2 + 7*k - 5. Let u(v) = 43*v**2 + 13*v - 11. Let h(s) = -7*j(s) + 4*u(s). Is h(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 770 or 2\/2307?\nAnswer: 2\/2307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 3, -1, -0.3, -4, 665, 17 in decreasing order.\nAnswer: 665, 17, 3, 0.01, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000284 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) -876 (c) -5 (d) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (1 + -2)) + 1 + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l - 190683 - 121830 = -125*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 764 and 1249331?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptppppptpp. What is prob of sequence tp?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/5 + 43*t**2\/5 + 8*t - 84\/5 = 0.\nAnswer: -42, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + 1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -27. Suppose 5*s + 10 = 0, -m + 193 = 2*m - z*s. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*a - 170. Let o = a - -38. Calculate the remainder when 61 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/4 - -81\/28. Let x = 166 + -165.8. Suppose -2*v + 12*v = 0. Which is the nearest to 0? (a) v (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t + 117*t - 74*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 21 = 8*z. Let h(x) = -x**3 + 10*x**2 - 26*x + 30. Let k be h(z). Sort 4, -6, k.\nAnswer: -6, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*q + 356*q + 244*q + 361 - 361.\nAnswer: 534*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dd + -14?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 12*t + 1. Let h be l(5). Suppose -5*o + h + 4 = 0. Let y(k) = -k**3 + 6*k**2 + 6*k + 9. Let q be y(7). Solve 0 = o*z - q - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4 + (-15)\/(-4)). Sort -2, 4, l in increasing order.\nAnswer: l, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 3053\/344)*(-2)\/3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 135, -3, 0 in descending order.\nAnswer: 135, 11, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58, 51, 42, 31, 18?\n\"Answer: -j**2 - 4*j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99851144*i**2 - i**4 + 11591*i + 2*i**4 + 99857058*i**2 wrt i?\nAnswer: 12*i**2 + 11828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 100 = 2274*w - 2278*w, w - 3*c - 3*c = 150 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*x = -2*x + 90, 5*n + x = 167. Let v = n + -135\/4. Let b = 2 - 1.7. What is the closest to v in -0.2, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 631424 - 3?\nAnswer: 631421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 217980105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3, 5, -18, 0, -0.3.\nAnswer: -18, -3, -0.3, 0, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.26. Which is the nearest to 0? (a) u (b) -1\/4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 2572*o**6\/15 - 1501*o**3\/6 + 3*o**2\/2 - 3533*o. Find the second derivative of d(u) wrt u.\nAnswer: 61728*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 95\/76 - 35\/(-4). Let -2*h**5 + 12*h**4 - o*h**3 - 12*h**3 + 50*h**2 - 38*h**2 = 0. What is h?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let b be ((-1 - -1)\/2)\/1. Suppose 10*n - 11*n = 0. Let z(c) = c + n + 0 + b. What is z(u(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 - 5*u + 21. Let b be v(4). Let r = 113 - b. Suppose 11*s - 7*s - 380 = r. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57.88*0.08519\nAnswer: 4.9307972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473658733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8530864 divided by -8530864?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3075 + -9250\/3. Let z = 493\/18 + -95\/3. Calculate the common denominator of z and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 3. Give a(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4 + 223590*p**3 - 2498058785*p**2 - 35005697580*p - 122558299220 = 0?\nAnswer: -7, 22366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97902 and 79731.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -h - 3*r + 291, -4*r + 284 = h. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-14.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81660 and 1176?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*u - 37, -4*m - 46 = 5*u - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12333755 is divided by 119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/(-44))\/(3\/(-4)). Let b = 12 + -9. Sort b, -2, u.\nAnswer: -2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 9*v**2 + 436*v + 431*v - 6*v**3 - 870*v = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 23 - 2. Suppose c*k - 52 = -82. What are the prime factors of 1*((-148)\/k)\/(8\/12)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**4 - 3*v**3 + 986*v**2 - 56*v + 7603047 wrt v.\nAnswer: 4*v**3 - 9*v**2 + 1972*v - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -205*x + 192*x. Calculate the greatest common factor of x and 342.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.67421 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 10*w + 6. Let a(q) = 6*q**2 + 30*q + 18. Let s(f) = -5*a(f) + 16*u(f). Let k be s(-6). Let h = 32 - k. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 1\/12*f**3 - 11*f**2 + 0*f + 1\/120*f**5 - 1\/24*f**4 + 22. Let i(r) be the second derivative of l(r). Factor i(x).\nAnswer: (x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = -54. Let n = 99 + -68. Let t = -22 + n. Calculate the greatest common factor of w and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:53 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 3.204.\nAnswer: 32.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**4 - 2*l**2 + 4*l**4 - l**4 - 2*l**4 + (-5*l + 0*l + 3*l)*(-3*l**3 + 3*l**3 + 2*l**3) - 267*l**3 + 267*l**3 + 10*l**4 - 2*l**4 + 1 - 1.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1654981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -443489*13.2\nAnswer: -5854054.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*i + 68950 + 1232338 = 0. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(6\/13)*m**10 assuming m is positive.\nAnswer: m**(137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0.2, 2, -1\/4, -0.211, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*f + 630 + 33*f - f**2 + 3*f)*(0*f**2 + 2*f**2 - f**2) to x*f + z*f**3 + a + b*f**4 + p*f**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*h - 15 = 0, 5*p + 5*h = 2*p + 9. Suppose -p*w + m = -26, 1 + 4 = 5*m. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 18127.952\nAnswer: 5438.3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 13114175?\nAnswer: 13114244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhhhhhubhhb. What is prob of sequence hh?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**2*u - 3*k**2 + 12607*k*u + 20255*k - 1 wrt u?\nAnswer: -4*k**2 + 12607*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -596*b**5 + 566*b.\nAnswer: -11920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*s = -68, -14 = 2*i - 5*s + 20. Let c(f) = 2*f**3 - 6. Let h(d) = -5*d**3 + 17. Give i*c(l) - 6*h(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 2 + 3*x - 707*x**2 + 3*x + 710*x**2. Give v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 11 = 4*j - 24 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 - 4. Let s(g) = -125*g**2 + 55. Let n(v) = 5*v**2 - 7*v - 11. Let w be n(-3). What is w*u(z) + 4*s(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (232\/(-12))\/((-20)\/(-1)). Let q = 59\/5 - 11. Let z = p + q. What is the closest to -0.1 in z, 0, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((2 + -1)*-1). Suppose -2*k + 15 + 23 = d. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123 (base 4) in base 5?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -71603\nAnswer: 2\/71603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 128*v**2 - 426*v - 6. Let n(l) = -533*l**2 + 1705*l + 24. Determine -25*b(p) - 6*n(p).\nAnswer: -2*p**2 + 420*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in 14, -1\/4, 2\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26829148.\nAnswer: 2, 163, 41149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394235533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559515702 divided by 33522?\nAnswer: 16691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 + -124. Suppose 5*i - z = 1743. What is the highest common divisor of i and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 810. Let j(n) = n**2. What is j(o(i))?\nAnswer: i**4 - 1620*i**2 + 656100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -32809608 + -51585?\nAnswer: -32861193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 265\/(-75) + 4 + (-6)\/(-29 - 1). Which is the nearest to -2\/5? (a) 26 (b) 5 (c) h (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 801261346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663563351?\nAnswer: 11, 60323941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = -5*j, 6*j - 5*f - 23 = 2*j. Suppose j*x - 20402 = -4*z, -2*x - 20393 = -4*z - x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 12*n**2 + 40*n + 37. Let f be v(-4). Sort 116, -1, -21, f in ascending order.\nAnswer: -21, -1, f, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 - 43*w - 2. What is m(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 649 + 443. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d - 7*d + 1065*d**2 + 4*d - 9. Is r(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqgqgaaqqaqqaaaqqqqq. What is prob of sequence aga?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t. Let b(d) = -2*d**2 - 8*d + 11. Let g(q) = 3*q**2 + 9*q - 11. Let o(p) = 2*b(p) + 3*g(p). Let h(n) = -6*f(n) + o(n). Is h(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - l + 5 + 3*l)*(7 + 2 + 11)*(3 + 0 - 2)*(24 - 66 - 103) to g + y*l and give y.\nAnswer: -5800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 + 24*q - 21. Let r be l(-7). Calculate the greatest common divisor of 392 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -554, -1116, -1678, -2240?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.003 from -0.0129.\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 6*y**2 - 3*y - 10. Let w be u(5). Suppose 2*f = b + 3*b - 14, w = b - 4*f + 14. What is the lowest common multiple of b and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**5 + m**4 + m**2 - 1. Let o(y) = -510*y**5 - 7*y**4 - 179*y**2 + 7. Let b(w) = 7*n(w) + o(w). Find the third derivative of b(s) wrt s.\nAnswer: -31020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (-6 + 10) - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l - 78*l = -126 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q. Let r(l) = 70*l**2 + l. Determine r(p(x)).\nAnswer: 630*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*m + 25 = -5*m, 0 = -5*k + 3*m - 65. Let n be 8\/(-15) - 2\/k. Which is the closest to -1? (a) n (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -3*q**4\/4 - 3*q**2\/2 + 707. Let w(s) = -6*s**3 - 6*s. What is 9*k(n) - 4*w(n)?\nAnswer: -3*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -331. Let l = x + 63. What is the remainder when 171 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5787, -14157, -22529, -30903, -39279?\nAnswer: -47657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l - 71*l + i = 9, 3*l - 5*i = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730 = -6*n - 28. What is the first derivative of 24*z**2 + 27*z**2 - 117*z - 77 + n*z wrt z?\nAnswer: 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 4*p - 2)*(2 - 6 + 0 + (1 + 1 - 3)*(6 - 3 - 2)).\nAnswer: -20*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10258*q**3 - 9196?\nAnswer: 30774*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14245 + -42730\/3. What is the closest to -1 in 0.3, 0, v, -367?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -c. Suppose -2 = -c*w, -l - 3*l = -5*w - 303. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*l**2 + 89*l**2 + 280*l**2)*(1 + 1 - 3).\nAnswer: -317*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -14 + -13 + 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49062164 divided by 404.\nAnswer: -121441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -543239\/451 + 13250\/11. Which is the closest to -1.8? (a) -3 (b) y (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 642.72\nAnswer: 19.2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11904.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:19 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19735103 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from fuufufff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 49. Let n be v(-21). Solve -2*g + n = 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01188 and -3.\nAnswer: -0.03564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -22. Let l(t) = 3*t - 2. Let b be l(2). Suppose 6*c - b = 8. Put d, c, -3, 3 in ascending order.\nAnswer: -3, d, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + (-2)\/(-8). Let i = 3\/16 - 43\/272. Let d = -65\/102 - i. Sort d, 1, s.\nAnswer: d, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 12) in base 6?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 2)**2 + 5)*-6.\nAnswer: -10254 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/2 + 4*a**3 - 12*a**2 + 16*a + 3. Solve o(n) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 28*n + 310. Let f be o(-11). Suppose 2*g + 3*g + f*d = 1033, 418 = 2*g + 2*d. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 19*l**2\/2 + l - 75. Let k be d(4). Which is bigger: k or 75?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Let n = 0.7453 + 0.2247. Does n = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1 = 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j + 42. Let s be z(-3). Suppose s*f + 7 - 241 = 0. Solve 0 = -2*y + c + 4*c - f, -5*c + 5 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a**2 - 28. Let i be -152 + 141 + 12 + -1. Determine c(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 0.053 (c) 1\/6 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1db3 (base 15) to base 14\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 2. Let r be f(8). Suppose 224 = 28*v + 4*v. What is the greatest common factor of r and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x**2 - 23*x + 12. Let p(h) = -5*h**2 + 11*h - 6. Let s(z) = -9*p(z) - 4*q(z). Let k be 1 + (-3)\/((-3)\/4). What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121251503 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928553?\nAnswer: 3, 11, 58441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160545 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1828.6 + 1829. Which is the closest to 1\/12? (a) -1\/4 (b) 5 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15768 is divided by 116.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 83122?\nAnswer: 3\/41561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/6 - 431*b**4\/3 - 859*b**3\/6 + 287*b**2 = 0. Calculate b.\nAnswer: -861, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-42)*1890\/45.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, -413555 in ascending order.\nAnswer: -413555, -20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 8 + 48. Suppose 5*s - 7 - c = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.1, 3133, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 11) + -2 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d = 2*s - 47, 15*s = 4*d - 21. Solve 0 = 15*i - d*i + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 11:58 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-2 - 1 - -1). Suppose 6*v - 103 = 2*v - d*q, v - 2*q - 34 = 0. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, 21, 160, 3 in descending order.\nAnswer: 160, 121, 21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 12*k + 3. Let g(t) = 2*t - k*t - 6*t. Let p(u) be the second derivative of u**4\/12 + 2*u. Give p(g(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12505872 - -22695872. What is t rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3384 and -121\/9400.\nAnswer: 84600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -316. Let q = 246 + u. Solve -5*m - 22 = -q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 6*a**2 + 2*a + 7. What is z(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(20) + (-2 + sqrt(20) - sqrt(5)).\nAnswer: -9*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 3 = 23*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - v, -4*z - 1 + 38 = 5*v. Let f(h) = 2*h**3 - 6*h - 2. What is the remainder when 63 is divided by f(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*j + 1315 - 3359. Solve 149 = 27*f + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = 20. Let u = -36 + w. Let l = -11 - u. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 199?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 16) to base 7.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 944 + -783. Let t(i) = -2*i**3 - 4*i**2 - i + 2. Let f be t(-3). What is the greatest common divisor of f and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1501*c - 38046. Determine k(-27).\nAnswer: 2481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4191 = o - 29*z + 33*z, 3*z + 20817 = 5*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 4*g - g)*(2 - 2 - 1) - 2*g + 8*g + 12*g - 3*g - 3*g + 5*g to the form u + w*g and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 7. Let y(k) = -k. Let d(w) = m(w) + 3*y(w). Let s(c) = 1. Calculate -d(t) - 3*s(t).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 0 - (2 + 0)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five eighths of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23584 + 23587. Which is the closest to 232? (a) v (b) 1\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21781043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 13 = -5*n - 117 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + l = -106000 + 106097, -5*y = -5*l - 85 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, r: 1, k: 1, f: 3, a: 10}. Give prob of picking 1 r and 2 a.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*a - 1 - 1)*(-a**3 - 4 + 4).\nAnswer: -4*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/((3 - 2)*1))\/(-1). Solve 0*y + 2*y + 8 = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 884510 a multiple of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:23 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.316 - 0.316. Suppose 5*x - 5 - 20 = -4*y, -x + 3*y - 14 = 0. Let t be x\/4 - (-63)\/(-12). What is the closest to -1 in l, t, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 433*d**3*h**2 + 7650*d**3*h - 24*d**2 - d*h**2 - 7*h**2 - 3*h + 51 wrt d.\nAnswer: 2598*h**2 + 45900*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/9 - 16*(-754)\/3276\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 32707 = -4*x + 6*x, -5*h + 32709 = 2*x. Let j(v) = -14*v - 16352 - 30*v + x + 3*v**2. Let r(o) = 2*o**2. Give r(j(z)).\nAnswer: 18*z**4 - 528*z**3 + 3872*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 2*t**2 + 2*t - 7. Let y be k(-3). Suppose 29*n = y*n - 36. Calculate the remainder when -1*(n - (2 + -5)) + 94 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000583096955 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -526511*r**3 - 133434*r?\nAnswer: -3159066*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1991080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439881816 divided by 322494?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 - 119. Calculate the least common multiple of x and (-39)\/(-2) + 5\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + l**3 - 4*l**3 - 3*l**2 to the form i*l**3 + p*l**2 + m*l + a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/3)*h\/(h*h**5)*h**(-3\/5)\/(h*h*h*h\/(h**2\/h*h*h)))\/((h**(-2)\/(h*h**(4\/5)))\/(h**(-1\/6)\/(h*h**(2\/3)\/h*h))) assuming h is positive.\nAnswer: h**(-119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**4\/6 - 30*u**3 + 27*u**2 - 2*u. Give c(43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and 108089.32.\nAnswer: 5728733.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b04a - -15a?\nAnswer: b1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43\/123 + -1235\/2829. What is the nearest to t in -1, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + -1 + 6 + -7 - -49.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.579249 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 41164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/79)*s**(2\/71))**(2\/9) assuming s is positive.\nAnswer: s**(32\/50481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 839465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, 8, 6 in increasing order.\nAnswer: -3, 0.1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.084 - 0.08404041. Round d to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -30. Let c(s) = -7*s**2 + 7 + 5*s + s**2 + 0*s**2 + 0*s**2 + s**n. What is c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i - y + 5, 50 = 5*i - 5*y. Suppose -6*n = -8*n. Suppose -4*z - 5*s + 47 = n, -5*z - s + 58 = -6. What is the remainder when z is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 3*x + 5*x)*(-2 + 3 + 1)*(37*x + 20 - 20 + (2*x - 4*x + x)*(4 + 1 - 6)) in the form v*x + p*x**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32034 - 4.\nAnswer: -32038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.119 + 0.219. Sort l, -9\/5, -0.5 in increasing order.\nAnswer: -9\/5, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) 0.04 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -42, 144, 237 in increasing order.\nAnswer: -42, -16, 144, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -92a53 (base 13) to base 12\nAnswer: -108395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3))\/p**(-2\/17))**(4\/13) assuming p is positive.\nAnswer: p**(280\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087 is divided by 561.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 - 22*w**2 + 22*w - 1. Let k(c) = -c**3 + 7*c**2 - 8*c. Let a(h) = 11*k(h) + 4*m(h). What is a(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 22 = -5*d + 11, -2*d = 3*i - 17. What is the least common multiple of d and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/6 - 2*l**3\/3 + 11*l**2. Let y be u(4). Let o = y - -25. Solve 3*v + 19 = 5*s, 2*s - 7 = -v + o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30636\/117 - 8\/(-52). Let z = t + -206. Is z at most -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15080100?\nAnswer: 2, 3, 5, 7, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(588)*-1)**2 - (-2*sqrt(12)*1 + ((1*sqrt(12) - sqrt(12))*-2)**2).\nAnswer: 4*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*r - 83*r - 112*r)*(15*r**2 + 15*r**2 - 12*r**2) as m*r**3 + v + u*r**2 + a*r and give m.\nAnswer: -2844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 3\/5 (c) -1\/4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 2*k**3 - 3*k**3)*(388*k + 1172*k + 694*k).\nAnswer: 4508*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56c0a5 (base 13) to base 16.\nAnswer: -1f58ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 5595.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let g(r) be the second derivative of r**4\/24 - 3*r**2\/2 - 4*r. Let b(s) be the first derivative of g(s). What is z(b(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 927, 865, 755, 591, 367, 77?\n\"Answer: -f**3 - 18*f**2 - f + 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 2*o - 4. Let q be x(3). Suppose -4*g - g = -q. Let t(p) = -2*p + 1. Give t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38575 divided by 7715\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 129*o**2 - 5*o + 7. Let q(u) = -u**3 - 86*u**2 - 3*u + 5. Calculate -5*d(s) + 8*q(s).\nAnswer: -3*s**3 - 43*s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12791?\nAnswer: 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 7 + 3)*(-3*w - 2*w + 6*w)*(0*w + 0*w + w) in the form a*w + g + o*w**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132310 (base 4) to base 9.\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - l**2 + 3*l + 3. Let x be d(-1). Solve p = 7 - x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 407274*v**3 - 138613*v**2 wrt v.\nAnswer: 2443644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1 - 21. Let u = 23 - x. What is the tens digit of 80\/60*93\/2*u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 53*u**2 - 6330*u + 17. Determine w(119).\nAnswer: -2720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(3\/4)*(m**(-1\/3))**(-7\/3) assuming m is positive.\nAnswer: m**(55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0373 - -91.1373. Let l = j + -90.8. What is the third biggest value in 129, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h - 2 - 6*h + 6. Let j be r(-7). Let v(m) = 8 - j + 3*m - 3*m**2 + 4*m**2. Calculate v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2663*w**3 + 5279*w**2 + 514*w**3 - 2565*w**3 + 698*w**2 + 342*w**3 wrt w?\nAnswer: -26232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 650380358 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10447\/6 + 1741. Let s(w) = w**2 + 2*w + 1. Let v be s(-2). Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 1, -1.5, -1.2, 1238, 1\/7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1\/5 (c) 77 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26544066 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4512*a - 2*a**3 + 16397*a - a**3 + a**3.\nAnswer: -2*a**3 + 11885*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, g: 3, w: 1, u: 3, c: 2, v: 1}. What is prob of sequence ugc?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -356 - -146. Let j = 105.98 - -108.57. Let c = v + j. Round c to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u - 8. Let r be (3\/(-2))\/((6 - 1)\/10). Let x = 0 + r. What are the prime factors of y(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.43037005 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 103c + 2e?\nAnswer: 106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -105, -5, 38, -121 in increasing order.\nAnswer: -121, -105, -5, 38, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/333410 and 86\/84435.\nAnswer: 13002990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 16, k: 3}. What is prob of picking 3 w?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6735 - -6659.97. Let s = 75 + o. Sort 0.08, -1\/3, s in decreasing order.\nAnswer: 0.08, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*a + 3*a. Suppose a*g + 5*k - 10 = 0, 0*k = -3*g - k + 13. Solve 0 = -4*h - 4*f + 32, 4*h - 8*f + 3*f = g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86857 - 86802 + 9*a - 86799 - 86792 + 347250.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -588.872 and -3.\nAnswer: 1766.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004754 to six dps.\nAnswer: -0.000475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.26396*0.28.\nAnswer: 10.7139088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.7 - 12.7. Sort -0.15, l, -4 in decreasing order.\nAnswer: -0.15, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(2\/3)*o*o*o**(5\/2)*o)\/(o**(-1\/9)*(o*o**(-5\/3))\/o) assuming o is positive.\nAnswer: o**(197\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*x - 697, -x - 8*o = -7*o - 175. What is the highest common factor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*w = -7, 2*l + 0*w = w + 2. What is the greatest common factor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(972)*1)**2.\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -869.55 - -851. Let o = x + -2.75. Let z = -21 - o. Is 1\/12 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51609001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 323201.2244 to the nearest one thousand.\nAnswer: 323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-528)\/42)\/4)\/((16\/(-56))\/2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -5, 1\/26, 356\/7, -3?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -6812?\nAnswer: 20436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 382312\/83?\nAnswer: 382312\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 480 = 170. Suppose 3309 = 11*f + u. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-28) + (-7)\/98?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-136)*8)\/(4\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 491 (b) -3\/4 (c) -0.4 (d) -2\/53 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -244716 and -244734 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 20, 7 = -3*s + s - 3*h. Let k(j) = -6*j - 2. What is k(s)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 20*i**2 - 3*i - 9. Let s(t) = -2*t**2 + t. Let g(q) = m(q) + 5*s(q). Give g(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.8 (b) -5 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60564*m**2*p + 5*m*p - 461*p - 3 wrt m.\nAnswer: -121128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by 1125\nAnswer: -116\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 417 + 5?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 357 = 5*q - 351, 0 = 2*q + 6. Suppose -5*n = 3*z - 59, -40 = -2*z + 5*n - 9. Let f be (-1)\/(1 + (-20)\/z). Solve 6 = w*h - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 44*w + 4990. Does 66 divide l(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 10. Calculate the smallest common multiple of 14 and a(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 times -0.2?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/242 and 17\/3168?\nAnswer: 34848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 105. Let z be v(-54). What is the smallest value in z, -0.5, -2\/45, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -606, -4964, -16800, -39852, -77858, -134556, -213684?\n\"Answer: -623*m**3 - m**2 + 6*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 106. Let n(y) = -10*y - 35. Let k be n(b). Calculate the greatest common divisor of k and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -69?\nAnswer: -7\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 z when four letters picked without replacement from {h: 4, v: 1, y: 6, z: 3}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-32 - (26 + -3))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - ((-11 - (9 - 16)) + 33).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -715260.2356 rounded to the nearest 1000?\nAnswer: -715000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2415\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**6\/90 - m**5\/20 - m**4\/36 + m**3\/6 + m**2\/3 - 4*m. Factor o(n).\nAnswer: -(n - 1)*(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 n when three letters picked without replacement from hkkkhnnkn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from vggvttbbvgvv.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*w + 43 = 13, -14 = -y - 3*w. Solve y = 27*a - 22*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(343) + sqrt(343) + -1 + 2 + sqrt(343) + 5 - (sqrt(343) + 0 + 5 + (-4*(1 + sqrt(343)) + sqrt(343) - sqrt(343)))))**2.\nAnswer: 336*sqrt(7) + 12364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2 in increasing order.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3\/8 (b) 5 (c) -3 (d) 1\/8 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from gyyvgvvyggvyyvyyvvkv.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10626114 is divided by 130.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 1. Let z be v(2). Let x = -163 - -817\/5. What is the nearest to x in -0.3, -1, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 r, and 1 q when three letters picked without replacement from prpzqpzpzqpzzrqzppr?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-15) + 0)\/((-4)\/9). Suppose 10*x + a*x = 10257. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(124*j**4 - 5*j**5 - 387*j**4 + 176*j**4).\nAnswer: 5*j**5 + 87*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246596?\nAnswer: 2, 7, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11196012 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 11:33 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.3, 1\/2, 0, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/((-1)\/12))\/(204\/136). Let w be 2\/h*(-2)\/(-7). Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101767441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 19*a + 7. Let k be (20\/(-14))\/((-6)\/42). Let m be w(k). Determine n, given that -3*n**3 - 11*n + 5*n - 17 + m + 9*n**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, t: 1, u: 3, v: 1}. Give prob of picking 3 a and 1 v.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248330 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1. Let z(v) = v + 7. What is 4*q(h) - z(h)?\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9740 = -2*q, 10*q - 5*q - 5*f = 24410. Let v = 12175 - q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 674, 673, 660, 629, 574, 489?\n\"Answer: -s**3 + 6*s + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - 2. Let w be a(2). Calculate the greatest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifwiifiiiwi. Give prob of picking 1 i and 1 f.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48057, 14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399 - -400. Let h = -0.3 - 0.2. Which is the nearest to -2? (a) x (b) h (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = b + 4*b - 1, 3*b - 13 = 5*p. Let a(s) = -s**2 + 5*s + 9. Let c be a(7). Let v be 3\/(-15) - (-4)\/10. What is the smallest value in c, v, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190 + 134. Let u be ((-2)\/(-56))\/((-14)\/y). Factor -u*w - 1\/7*w**4 + 1\/7*w**2 + 1\/7*w**3 + 0.\nAnswer: -w*(w - 1)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 31.0874.\nAnswer: -30.8874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6553 + 2.6566159. Round y to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.16 + 2.16. Which is the closest to x? (a) 0.032 (b) -15 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107.6 or 0.379?\nAnswer: 0.379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 10*n**2 - 6*n - 8. Let d be t(9). What is the derivative of 13 - d + 7 - 10*r**2 wrt r?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 - 2*q**3\/3 + q**2 - q + 22. Calculate c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 37*s - 3658. Calculate c(105).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.7231 millilitres to litres.\nAnswer: 0.6867231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -81. Let g = i - 38. Let n be (1 + -4 + 1)*g. Solve -n*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 p when three letters picked without replacement from {n: 2, g: 5, p: 3, b: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**7\/30 - o**6\/24 + 23*o**3\/6 - 8*o. Let x(j) be the second derivative of g(j). What is the third derivative of x(h) wrt h?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 5 = -11*x. What is the units digit of (x - 1) + (376 - -8) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g**2 + 6. Let j(q) = 11*q**2 - 6 + 7*q**2 - 5 - q**2. Let t = 165 - 87. Let p = 67 - t. Determine p*x(i) - 6*j(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 7*c + c)*(-3*c + 2*c - c)*(33 + 30 + 12) in the form x*c**2 + l*c + k and give x.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/79)\/s)*(s*((s*s\/(s*s\/(s\/s**(-2\/41)))*s)\/s)\/s)\/s*s)\/(s**(-6)*s**25) assuming s is positive.\nAnswer: s**(-51584\/3239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23283 - 6*r - 23276 - 4*r**2 + 11*r)*(18*r**2 - 219 + 219).\nAnswer: -72*r**4 + 90*r**3 + 126*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1019 + 1014. Suppose 0*m + 3*c = 3*m + 3, m + 13 = -3*c. Put g, 2, m in decreasing order.\nAnswer: 2, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 124.4. Let l = 84.99 - 82.99. Which is bigger: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-84)\/48)\/7)\/((-5)\/131500). What is the greatest common divisor of h and 526?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**4 + 1 - 586751*f - 3*f**3 + 0 + 586753*f to the form g*f**4 + s*f**3 + v + p*f**2 + q*f and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 11*g**2 - 234*g - 24. What is r(11)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 1705152702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2184 = 3*k - 4*h, 0 = -3*k + 5*h - 697 + 2878. Let j = k - 379. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 4) - 4\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41232*h**3 + 396*h**3 + 504*h**2 - 504*h**2.\nAnswer: 41628*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 10 + -17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**4 + 8*w**3 - 12*w**2 + 8*w + 8. Let f(s) = -s**4 + s**3 - s**2 + s + 1. Let t(p) = d(p) - 8*f(p). Factor t(o).\nAnswer: 4*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/85)\/((-658)\/5593)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8390 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2715227522 divided by -2\nAnswer: 1357613761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -518116 by 2.\nAnswer: -259058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24160 and 98528?\nAnswer: 74388640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**6\/x))\/x**1)\/((x*x**(-6))\/(x*((x*x\/x**(-1\/4)*x)\/x*x)\/x*x)) assuming x is positive.\nAnswer: x**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 38. Let f be (12\/15)\/(8\/(-100)). Let g be d(f). Let r(a) = a**3 + 8*a**2 + 2. Let t be r(-8). Solve 8 = 3*p - 5*h, g*p - 2*h + 8 = -t*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153402134 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 33. Let t = 15 + s. Let k(w) = 107813*w**3 - 2*w**2 + w - 4. Let p be k(t). What is p rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(136)\/sqrt(72) - sqrt(17))**2 - sqrt(170)\/sqrt(250)).\nAnswer: -4*sqrt(17)\/5 + 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5*y)\/(y**(-2)\/y))**(-36)*(y**(-6)\/y**(1\/9))\/((y*y*y*y*(y*y*y**(1\/3)\/y*y*y)\/y*y*y)\/y**(2\/5)) assuming y is positive.\nAnswer: y**(-15212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from miigigiwgiwz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/(-12)*15\/14 and 53\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 divided by 5?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.96 + -7. Let k = -0.04000058 - n. What is k rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 161, 166, 171, 176?\n\"Answer: 5*l + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -34. Suppose k*z - 19*z + 3 = 0. What is the units digit of 3 + z\/(-6)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4)*i*i*i*i)**29\/(i\/(i**(-6)*i))**(3\/28) assuming i is positive.\nAnswer: i**(397\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/4 - 1521*m**4\/2 - 3172345*m**3\/4 + 1587693*m**2\/2 = 0. What is m?\nAnswer: -822, 0, 1, 3863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847, 3434, 7743, 13768, 21503, 30942, 42079?\nAnswer: 54908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Suppose -y*p - 167 = -851. Suppose 2*h - 4*a + 312 = 0, -p = 2*h + 3*a + 98. Round h to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, 0, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = 3*p + 3, 0 = p - 4. Suppose -12*d = h*d + 1515. Are -103 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 20324*q.\nAnswer: 4*q*(q + 5081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 91 + 179 + 191 to the form l + h*b and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*p**4\/3 + 860*p**3\/3 + 2162*p**2 - 15652*p\/3 + 8281\/3.\nAnswer: (p - 1)**2*(5*p + 91)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d. Let c(j) = d + 10*j + 6 + 1. Is c(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*779393.\nAnswer: 11690895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/49)\/(2\/7). Suppose a*g + g = o - 7, 3*o = g + 13. Solve q = -q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 19\/3. Suppose 2\/3*u**2 + 7*u**4 + q*u**3 + 0 + 0*u = 0. What is u?\nAnswer: -1\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-33)*((-12)\/2)\/(296\/37).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81562536 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**3\/6 - w**2\/2 - 2*w. Let m be u(-5). Solve 8 = m*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-6))\/(6\/9). Let n = -5 + u. What is the second derivative of 18 - 18 + n*f**5 + 3*f wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 336*k. Let i(x) = -21*x. Let a(n) = 4*g(n) + 63*i(n). Let m(p) = 7*p + 50. Let t(l) = -3*l - 20. Let r(f) = -2*m(f) - 5*t(f). Calculate r(a(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 391619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-5))\/(6\/(-40)). Suppose -5*q - l = -33. Let w = -138.9 - -138.7. Which is the biggest value? (a) w (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - (3 - (7 + 0)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -10*(-6)\/(-32). Let c = 0.11 - -0.59. Let p = c + -0.7. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, c: 2}. What is prob of sequence mcmm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1893*w - 449. Let v be h(-11). What is v rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/(-132)*-11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5720013 millilitres?\nAnswer: 0.0005720013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 92 + 215 + 2*z - 92 + z**2 + 17*z**3 to the form k*z**3 + h + r*z + p*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -269*f**2*g**2 + 4*f**2*g*o + 6*f*o - g**2*o + 179*g**2 wrt f?\nAnswer: -538*g**2 + 8*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s + 14. Let h be u(3). Let n be 2 + h\/(-5) - 18\/15. What is the nearest to -5 in n, 3, 1\/7, 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 - 200 = 2*m, -3*m - 6 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 34*x**2 + 9*x + 10. Is n(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -151, -316, -489, -676, -883, -1116, -1381?\n\"Answer: -f**3 + 2*f**2 - 164*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.0253?\nAnswer: 0.01012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-3 - -4)*3. Solve -4*d - 2*k = -5*k + w, 2*d + 2 = -3*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -10*a - 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**9*d**(-1\/5))\/((d\/(d\/(d\/(d**(-5)*d))))\/d**(9\/5)))**(11\/4))**43 assuming d is positive.\nAnswer: d**(3311\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(0 + 0 + 2*f**2) - 13*f - 22999 + 11497 + 14*f**2 - 5*f**2 + 11487 as n*f**2 + h + c*f and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-16))**(-27))**(-49) assuming x is positive.\nAnswer: x**(-21168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 - -4?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + -7 + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 62*r**3 - 7. Let w(f) = -248*f**3 + 31. Give 2*w(k) + 9*y(k).\nAnswer: 62*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-52)\/30*-5)\/(3\/18*4). Solve -3*c = p + 1, -33*c = -38*c + 4*p - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 117*j + 45*j + 50*j + 44*j**2 + 46*j**2 - 220*j.\nAnswer: 90*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 4*y**2 - 185 - 2*y**2.\nAnswer: 2*y**2 - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 9*i - 5*i)*(5*i + 6 - 6)*(2 - 7 - 3).\nAnswer: -80*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.1 + -59. Are n and 38 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 511. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76) + -1) + -5 + 1*(0 + sqrt(1539) + 0).\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14702336 - 4237*s - 14702336.\nAnswer: -4237*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by 68.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhxf when four letters picked without replacement from ffpffxffffhhhffphhf.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9122515 times -0.4?\nAnswer: -3649006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(343) - (sqrt(343) + (2 + sqrt(343) + sqrt(343) + sqrt(343) - sqrt(343) - sqrt(343)))) + sqrt(343) + 5)*-3 + ((-3 + -2 + sqrt(343))*2)**2).\nAnswer: -560*sqrt(7) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-4) - -6*(-5)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1024 + -7202\/7. Which is the nearest to -2\/7? (a) 4 (b) -2\/17 (c) 5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Suppose -5 + 41 = -4*k. Is -2 - (h + k) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4538 - 4540.907. What is b rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 227056*m\/7 - 6444303392\/7.\nAnswer: -2*(m + 56764)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288781.\nAnswer: 19, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 7, g: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -485, -1056, -1855, -2882, -4137, -5620?\nAnswer: -7331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16005 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.2 and 18475699.\nAnswer: 18475701.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1935645 at most as big as -1935661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 268. Let f = -130 - s. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*w + 13, -5*w - 19 = -4*u - 4*w. Let c = 6 - u. Suppose 5*q**c - 4*q - 10*q**2 - 13*q**2 - 14*q**3 = 0. Calculate q.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*z - 2*u, -4*z + 4*u - 14 + 6 = 0. Let b(s) = 9*s**2 + 1. What is b(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-3*4)\/((-21)\/(504\/(-16)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259927*b**3*z**3 + 303*b**3*z**2 - 71*b**2*z**3 + 1957*b*z**2 wrt z.\nAnswer: 1559562*b**3 - 426*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1109, -2, 0 in descending order.\nAnswer: 1109, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 - 51 = -20*f - 221 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17227101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1784, -3383, -4962, -6515, -8036, -9519, -10958?\nAnswer: -12347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p = 38*p - 6, p - 129 = 106*l - 43*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (-4)\/(4 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2. Let s(k) = 3*k - 2*k - 4 + 2 + 8. Let x be s(-5). Let w(c) = 4*c**2. Let g be w(x). Let n(t) = -t**3 - 6*t**2 - 2. What is g*h(a) - n(a)?\nAnswer: a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + ((-3)\/(-6) - (-3 - 0)). Is y less than or equal to 4.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*z + 23838 = 232*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 674 - 670. Let i = 0 + 2. Find the third derivative of -7*v**2 + 12*v**i + 6*v**6 + g*v**6 + 9*v**2 wrt v.\nAnswer: 1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/4356*(-120)\/(-4)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * -24.6.\nAnswer: 787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) -2879 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + 1)*(-1 + 1 + 1) + 4 - 1 - 1)*((3 + 1 - 1)*(-a - 2*a + a) + 2*a - 3*a + 0*a - 3*a + 5*a - 3*a + 4*a - a - a) to d*a + h and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27445?\nAnswer: 5, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29784 (base 14) to base 8\nAnswer: -311150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r + 1. Suppose 4*h - 16 = -2*s, -r*s + 24 = 4*h - 8. Suppose v + 80 = 6*v. Solve 0 + s = -2*z, -d + 3*z = -v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - z**2 + 13*z + 1. Calculate f(4).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899785052.\nAnswer: 2, 19, 11839277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 37*o**2 + 2*o. Let d(p) = -p**3 + 33*p**2 - 62*p - 2. Let j be d(31). Is s(j) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*l**4 - 4652143*l**3 - 1569939*l - 19 wrt l?\nAnswer: -468*l**2 - 27912858*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + s)*(-5*s + 2*s + s) + 3*s**2 - s**2 + 2*s - 2 + 3 + (-3*s**2 + 3*s**2 - 6*s**2)*(30 + 47 - 25).\nAnswer: -308*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.98 (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 16. Suppose j = 4*z + 4, 0*z = -h*z - 2*j + 8. Let f be (-6)\/(-10) + 4\/10. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -10. Let b(y) = y**3 + 6*y**2 - y - 9. Let u be b(-6). Let g(p) = -24*p + 5. Let m be g(u). Calculate the greatest common factor of s and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**2. Let m(w) = 3*w**2 + 5*w. Let h(s) = -3*s**2 - 6*s. Let l(d) = 5*h(d) + 6*m(d). Determine -4*f(c) + 15*l(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - m**2 + 2*m. Suppose -5*v - 1 = 9. Let q(k) be the second derivative of 17*k**5\/20 - k**4\/4 + 3*k**3\/2 - 2*k - 23. Give v*q(g) + 9*x(g).\nAnswer: 2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 4*w - 6*w**2 - 3*w**2 - 4*w wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/30 + (-16)\/(-5). Let o be (-5 + w)\/((-6)\/15). Let q = o - -21. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(360) + sqrt(360)*-2)\/sqrt(8) + sqrt(45))**2 + 1*(2 + -3*sqrt(80))**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c\/(c*c*c**(-2)))\/c)*c*c\/((c\/(c**(2\/9)\/c)*c)\/c))\/(c**(-3\/4)\/c)**(-34) assuming c is positive.\nAnswer: c**(-1067\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 - 36*s**3 - 236*s**2 - 336*s = 0. Calculate s.\nAnswer: -28, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30106277419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 32 = 15*o. Solve 3 = -4*j - p, -2*j + o*p - 1 = 5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/(-12))\/5)\/(67\/((-69948)\/27))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -2*z**2 + 2. Let m(p) = 8*p**2 - 8*p. Let l(y) = -2*y**2 + 3*y. Let q(w) = 8*l(w) + 3*m(w). What is s(q(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 13.85. Let t = d - -1.15. Put t, -1, -2\/17 in ascending order.\nAnswer: -1, -2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45, 85, 119, 147, 169, 185, 195?\n\"Answer: -3*h**2 + 49*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 21907254\nAnswer: -10953627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -125*o**4\/22 + 150*o**3\/11 - 135*o**2\/11 + 54*o\/11 - 7. Factor h(l).\nAnswer: -2*(5*l - 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.56 (b) 0.3 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -19*k - 147\/4*k**2 - 1\/8*k**4 + 23 + 7\/2*k**3. Let z(n) be the first derivative of c(n). Suppose z(t) = 0. Calculate t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5969.064 millilitres to litres.\nAnswer: 5.969064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -1 + sqrt(2) + sqrt(2) + 2) - (1 + (sqrt(98) + 0)**2 + 3 + sqrt(8)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 4 + 2*m + 17*m**4 - 14*m**4 as n*m**2 + j*m**4 + c*m**3 + w + x*m and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 999.\nAnswer: -27972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 163019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2\/5 + 276*u\/5 - 9522\/5 = 0.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, m: 3, d: 4, r: 2}. What is prob of picking 2 r and 1 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*n + 510*n + 2328 = -1065 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 12*k**2 - 34*k + 78. Give o(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 592\/48*((-6)\/300*-5)\/(46\/345)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53485 + -29596. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-261)\/1*(-155)\/7905*17\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 5800 - 6776. Solve c*f = 4181*f - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 129?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820 divided by 7?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = -6. Suppose j + 5 = -3*k, 6*j = m*j + 4*k + 11. Is (-435)\/(-10)*(3 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 38*s**3 + 6*s**2 - 2*s - 2. Let a(j) = -j**3 + j**2 + 1. Give -a(w) + v(w).\nAnswer: 39*w**3 + 5*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 7*y. Let s be i(8). Let f be (52\/6 - 0)\/(42\/11907). Suppose -5*a + 2*m - f = -s*a, a = 4*m + 833. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*y + 416 = 0, 2*g - 129 - 149 = 2*y. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4941277.\nAnswer: 11, 97, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510408 and 5?\nAnswer: 2552040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, v: 8, o: 4}. Give prob of sequence vv.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336854 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5*(24\/(-3))\/40)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 330 + 331 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4005462 divided by -2\nAnswer: -2002731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 17591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61916261 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, w: 1, t: 5, y: 1}. Give prob of picking 2 t.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2307, -4540, -6699, -8784, -10795, -12732?\n\"Answer: 37*g**2 - 2344*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329108048 to the nearest integer?\nAnswer: 18141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4226 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*l + 3*l, l = 2*d + 1. Let g = -9 + 4. Sort g, 1, d.\nAnswer: g, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-81)*17253\/(-6390).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13720, 27441, 41162, 54883?\nAnswer: 68604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2 + 7\/2). Is (-2 + (-10)\/k)*1266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8069004 to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 (base 5) in base 6?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23001571\/330 + 69702. Find the common denominator of f and 133\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -16. Let h be (-1)\/(-5) + 11\/(-5). Let d = f - h. Is 6 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11463297*c**2. Let b(i) = -i. Give n(b(o)).\nAnswer: 11463297*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 11:18 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3099 + -3098. Solve n = u + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {j: 1, h: 1, a: 4, z: 1, v: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182299 and 6498713?\nAnswer: 4927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.051 times -17\nAnswer: 0.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/12957?\nAnswer: 1\/12957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 35*v + 14. Let n(w) = -36*w - 12. Calculate 5*h(s) + 6*n(s).\nAnswer: -41*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 376, -1 in ascending order.\nAnswer: -5, -1, 0, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-10)\/(-87))*(-60)\/90?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Suppose -f*g - 2 = 2. What is g rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195163?\nAnswer: 195163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 28 = 3*n, 2*p = 3*n - 4. Let t = -6 - -1. Let s = t + p. Which is the third biggest value? (a) 0.05 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9) + ((-16310)\/(-21))\/10. Suppose 18*m - c = 31. Solve 0 + m = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0 - 7\/40*s**5 + 3\/4*s**4 + 2*s**2 + 1\/60*s**6 - 5\/3*s**3 - 30*s. Factor u(g).\nAnswer: (g - 2)**3*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/12 + k**3 + 9*k**2\/2 + 1481*k. Find l, given that h(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -162, 191, 672, 1281, 2018, 2883?\nAnswer: 3876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + sqrt(91)\/(sqrt(7) + sqrt(21)\/sqrt(3)) + sqrt(325) + -1 + -3)*3)**2.\nAnswer: 66*sqrt(13) + 14173\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76144 less than 76322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(275) + -1*sqrt(275) - sqrt(275))*4 + (5 + sqrt(275) + 0)**2 + (5*(sqrt(275) + sqrt(275) + 2))**2*3*4)*-1.\nAnswer: -331500 - 12030*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49747367 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*g**2\/3 - 5*g\/2 - 1\/6 = 0. What is g?\nAnswer: -1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 50912406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185682559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4228 and 310296.\nAnswer: 46854696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -17. Let c(s) = 5*s - 4*s + 1 - 2 + g. Calculate c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1\/21)*q**(-17))**(1\/9) assuming q is positive.\nAnswer: q**(-314\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 120*l**3 - 118*l**3 - 218*l**4 + 0*l**2 + 8 - 8 in the form u*l**3 + a + m*l + x*l**4 + y*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-105)\/(-7))\/(-75))\/(42\/350)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -74. Let w = m - -20. Let d = w + -20.003. What is d rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 4. Let k = 0.64 - 0.7. Put -2, f, k, -3\/4 in decreasing order.\nAnswer: k, -3\/4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 56, 83, 110, 137, 164?\n\"Answer: 27*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1\/13 (b) 4 (c) -0.4 (d) -0.5 (e) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -556803 (base 9) to base 10\nAnswer: -333075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/27)\/d**(1\/3)*(d*d*d\/(d**(-3)\/d))\/d*((d\/(d**(-2\/11)\/d))\/d)\/d*d*((d**(2\/11)\/d)\/d**13)**(20\/3) assuming d is positive.\nAnswer: d**(-25304\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022227 is divided by 7098?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 23. Let h = 20 + f. Suppose h = m + 3*m - 24. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = r + s, 14 = 2*r + s. Suppose -r*i = 50 - 0. Is 6\/i + 3380\/50 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i + 2*y + 60 = 0, 0 = -3*i - 4*y - 55. Let o = 15 + i. Solve -z + 3 = -o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Suppose -d*g = -12 - 8. Suppose -2460 = -g*n + n. What is n rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9256008915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/5283 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 59*h**2 + 84*h + 7. What is g(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*o - 1078 + 1117 = 0, 23 = 3*p - 4*o for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -21\/3002878 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 3524 + 3524 + 0*x**2. Let g(b) be the third derivative of b**5\/12 + 175*b**2. Suppose 0 = 5*s + 13 + 2. What is s*g(h) - 5*u(h)?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x - 2*x)*(-299*x + 91*x + 122*x + (x - 2 + 2)*(3 + 0 - 2)).\nAnswer: 85*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 11102?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and -119\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3732046?\nAnswer: 2, 199, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 + 568 = 21*s. Calculate the remainder when 264 is divided by s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 4. Let c be u(-6). Let x be c\/(-4) + 1 - -72. Suppose -4*a = 4*d + 15 - x, 3*a - 12 = 3*d. Which is smaller: a or 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 254*f - 29716. Determine t(117).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -5. Let y = -966 - -37672\/39. Is q >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/60 + m**4\/12 + m**3 - 8*m**2. Let j be l(3). Suppose -2*h + p + 48 = -p, 0 = j*p - 6. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 9060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 11*s**2 - 12*s + 2. Let b be p(-12). Solve l + r + 1 = 0, b*r + 7 = 2*l - 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -35*o + 518. Let z be p(14). Let r(g) be the first derivative of -21\/4*g**4 + 0*g**2 - g + 0*g**3 + z. Find the first derivative of r(a) wrt a.\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:57 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -165\/2939 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxyxyxyyxyyxy. What is prob of picking 2 y?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -2.1. What is the second smallest value in q, 0.2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2656534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1348, -1359, -1392, -1459, -1572, -1743, -1984?\n\"Answer: -2*u**3 + u**2 - 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 404 + -400. Suppose g*y + 13 = 73. Suppose -5*r - 5*z + 63 = -z, -60 = -3*r + 5*z. What is the greatest common divisor of y and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, g: 1, u: 2, k: 7}. What is prob of picking 1 g and 1 k?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33674 and 1695?\nAnswer: 505110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/41684 and 55\/6?\nAnswer: 125052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/a)**(3\/14)\/(a**2\/a**(-7)) assuming a is positive.\nAnswer: a**(-639\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4320\/1200*55\/(-3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.299999949 - -16.3. Round s to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 10*y - 15. Let i be j(-13). Let m be i\/(-10) + 10\/25. What is the third smallest value in m, 1\/10, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95.9, -1193.6, -2\/35 in descending order.\nAnswer: 95.9, -2\/35, -1193.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1804 = -0*g - 3*g, 3*c = -g + 597. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*n - 3*n. Let m = -24 - -23.5. Which is the closest to 0? (a) m (b) n (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 430279\/52843 - -2\/7549. Let l(p) = -35*p - 477. Let g be l(-13). What is the common denominator of (8\/16)\/(g\/156) and o?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*k + 17*k**5 - 12*k + 20*k wrt k?\nAnswer: 340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 12 - 7*r**2 + 15 - 27.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -31*a**2 + 34*a + 42. Let c(z) = 9*z**2 - 12*z - 14. Let t(m) = 7*c(m) + 2*d(m). What is t(14)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**5 - 161*i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.752137 litres to millilitres.\nAnswer: 8752.137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + 5 - (1 + 4*sqrt(700)))**2.\nAnswer: -180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52\/105 + -2\/5. What is the biggest value in -0.2, 0.4, t, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3029411.75 rounded to the nearest 1000?\nAnswer: -3029000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:55 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 - 5*m - 2. Let f be v(-3). Suppose 4*o + 6 = t, -f*o + 14 = -6*o - 5*t. Sort o, 0, 1.\nAnswer: o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(7*g + g - 3*g)*(15 - 1 + 13) to r*g + z and give r.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 506*a**2*u**3 - a**2*u**2 - 153*a**2 + 19*a*u**3 + 11*a*u**2 + 2*u**2 wrt u?\nAnswer: 3036*a**2 + 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 917\/(-24)*36\/(-378) and (-60)\/75 + (-74)\/45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162577 - 84853. List the prime factors of n.\nAnswer: 2, 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227791736*j**5 - j**3 + 82036435*j wrt j.\nAnswer: -4555834720*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 3*i**2 + 28*i**2 - 17*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2d (base 15) to base 14\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 15 = -f. Let g = f + 37. Calculate the least common multiple of g and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 62*s + 6. Let i(a) = 2*a + 1. Give 5*i(h) - l(h).\nAnswer: -52*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5532*h**4 - 7*h**3 + 52432*h**2 + 2*h?\nAnswer: -132768*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 5*n**2 - 9*n + 21. Let s be i(6). Let d be (2\/s)\/(8\/(-12)). Sort -4, 1, d in decreasing order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -15)*(0 + -1). Let a be ((-4)\/w)\/((-1)\/(-3)). Sort 2, a, 3.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 + 493719*g**2\/4 + 20396631045*g\/4 + 6857836117713\/4.\nAnswer: 3*(g + 339)*(g + 82117)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -495 + 963. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euee when four letters picked without replacement from fffuemfieffueifun?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 110\/(-300) + 2\/12. Let a = 53.5 + -54. What is the second biggest value in d, a, -2\/7, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (121 + (-13 - ((-20 - -1) + 23))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5692760 is divided by 774.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 - 258*c + 37*c - 55*c - 47*c + 0*c**3 to z + l*c + w*c**2 + x*c**3 and give l.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/96*4 + 3\/(-4). Let b be ((-72)\/42)\/(t\/(-7)). Solve -5*o = -7*o - b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -532 and 4?\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18650 + 10624 = -714*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -39, -36, -33?\n\"Answer: 3*t - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12180 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115756 or -115757?\nAnswer: -115756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-10.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m + 1. Let h be ((-14)\/(-4))\/((-3)\/(-6)). Let z be ((-44)\/10)\/(198\/30 - h). Suppose 0 = z*p - 11 + 33. Calculate c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39005024.\nAnswer: 2, 19, 64153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1012?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 431+-0.12\nAnswer: 430.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3867175219 - 13\nAnswer: -3867175232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**(3\/2)*v*v\/(v*v**4*v))**(-22)\/((((v**(3\/10)\/v)\/v)\/v)\/(v**3*v)*v**(-3\/5)\/(v**(-6)*v)) assuming v is positive.\nAnswer: v**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 20. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.2319 + 0.0681. Let b = 34.582 - q. Let i = -0.57 + b. What is i rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*n + 649*n - 206*n - 206*n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {b: 1, z: 1, o: 1, k: 5, h: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0388 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*f + 6666 = 440*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 2*m**2 - 10601*m - 523. Determine s(104).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32505 - -20\nAnswer: 32525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009784 rounded to 6 decimal places?\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460355317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 250 = 4*b, -5*p + 3*b + 599 = -0*b. Let v be -1*(0 + 3) + 14. What is the highest common divisor of p and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/15 and 76\/3287289.\nAnswer: 16436445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.4 (b) 21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13454, 26906, 40358, 53810, 67262, 80714?\nAnswer: 94166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, -6, 5, -1\/5, -4, -40, 2\/11?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n - 3*a, 8 + 7 = 5*a. Let w(u) = 3*u + 8. Give w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4 + 4)*(-3*c**2 + 3*c**2 + c**3) + 17095*c**3 + 36006*c**2 + 35992*c**2 - 71996*c**2 - c**4.\nAnswer: c**4 + 17095*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 85068215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958 divided by 2.\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/8? (a) -2\/5 (b) -91 (c) -67 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 142, 4, 2 in decreasing order.\nAnswer: 142, 10, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7679 - 7678.8. Sort -123\/7, 0, z, -0.4.\nAnswer: -123\/7, -0.4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + -3*sqrt(17)*6 + 4)**2 + 2*(sqrt(17) + (sqrt(1377)*1)**2 + -1)).\nAnswer: -750*sqrt(17) + 24927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*m = 294*m + 7469 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(5)*-3 + sqrt(960)*2 + sqrt(960))\/(sqrt(33)\/(sqrt(77)\/sqrt(7))*-5).\nAnswer: -21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 5)*(3*l - 2*l + 8*l).\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -13*a + 7*a. Let y be ((3 - 3)\/(-1))\/(-1) + a. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/6*(-81)\/(-81)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 46509160*a**2 - 108155330740705*a - 1081548656496050.\nAnswer: -5*(a + 10)*(a + 4650911)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 8)*(-2 + 4 - 3)*(0*a + 2*a + 0*a) in the form l*a + x and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 37 = -118. Let l = i - -52. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105 - 7*t**4 + 92 - 14*t**4 wrt t?\nAnswer: -84*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 3*l + 1. Let h be r(-3). Find the third derivative of -h*v + 48*v + v**3 - v**3 - 45*v**4 - 6*v**2 wrt v.\nAnswer: -1080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 22 = 74. Suppose 0 = y - 3*j - 3, 2*y + 0*y + 2*j = 46. Suppose -10*s = -r*s - y. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*d*i - 8806071*d - 1132125*i wrt i.\nAnswer: -76*d - 1132125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {l: 5, v: 2, q: 3, j: 7, h: 2, e: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -29*g. Suppose -37 = -3*u - 2*c, 2*u = u + 4*c + 3. Let k(v) be the second derivative of 0 + 0*v**2 - u*v + 1\/3*v**3. Determine p(k(y)).\nAnswer: -58*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/((-3)\/1026). Let s be ((-30)\/(-9))\/((-4)\/(-30)). Let i = s + -6. Calculate the highest common factor of x and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 - 854975*o + 34207000 = 0 for o.\nAnswer: -171035, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7 + 1. What is the derivative of 3*k + r - k + k wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmg when four letters picked without replacement from {d: 2, g: 1, m: 4, b: 1, t: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 147*((-2)\/(-1) + 0)*(-149)\/(-894)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114, -720, -2320, -5412, -10494?\n\"Answer: -83*w**3 + w**2 - 28*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let o(x) be the first derivative of 4 + 4*x + 1\/3*x**3 + 5\/2*x**2. Let m(r) = o(r) + 4*t(r). Find the second derivative of m(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5904837?\nAnswer: 3, 137, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621484 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2)\/v)\/(v\/v**(-2))*(v**0)**(-36) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from vggjjjvg.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*g - 40*g + 117*g)*(8*g - 4*g + 0*g).\nAnswer: 432*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.0584.\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/7, -2, -1997, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/(-392))\/((-26)\/(-819)))\/((-12)\/288).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3787 and -6.\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*k + 102*k + 536 = 253*k. Let z(l) = -l + 7. Let q be z(6). Let n = q - -1. Solve -k*a = 3*t - 0*t - n, a = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1903 + 2781. List the prime factors of b.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/55))\/(v*(((v**(-2)*v)\/v)\/v*v)\/v*v*v) assuming v is positive.\nAnswer: v**(53\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 divided by 4.\nAnswer: -179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)*2*1)\/sqrt(7)*2.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 365084077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.5 + -22. Let d = 7 - 10. Let a = 0.3 - 0.7. What is the closest to -1\/2 in i, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7836 by -3.\nAnswer: 2612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1709080896 and -13?\nAnswer: 1709080909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-532)\/(-798))\/(6\/(-4)*(-13)\/((-351)\/(-18)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*t - 10, 149 - 161 = 4*t. Let f(u) = -6*u**2 + 14*u - 7. Let x(p) = 5*p**2 - 13*p + 7. Let h(m) = -6*f(m) - 7*x(m). What is h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81866, 81892, 81964, 82082, 82246, 82456, 82712?\nAnswer: 83014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1241?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = -29*q + 3*m + 31, -m = 4*q + 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 2\/5, -1, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(sqrt(171)\/sqrt(9)*-5 + 1 - (sqrt(19) - 3*(sqrt(19) - (sqrt(19) + 4)))*-5))**2.\nAnswer: -44652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 18*i - 16*i + 1, -3*b + 23 = 4*i. Let p(n) be the second derivative of 0*n**3 - 3\/20*n**b + 0*n**2 + 0 + 6*n + 1\/4*n**4. Factor p(x).\nAnswer: -3*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1916281.3 to the nearest ten thousand.\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**5\/30 + t**4\/4 - t**3\/3 + 2*t**2. Is 16 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 17 = -4*l, 9 = -3*l - 2*h + 3*h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 114\/11 = 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - 55*n + 63. Determine o(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 4 = 5*r. Suppose -r*t = -2*t. Let g(c) = -3 + 0 - 3 + t - 5*c**3. Let k(o) = 9*o**3 + 11. Give -11*g(l) - 6*k(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:29 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -87*s - 3732. What is a(-42)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.36806 * -1.6\nAnswer: -2.188896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13468.855 less than 118.41?\nAnswer: 13587.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from 11433714.\nAnswer: 11433696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q + 65. Determine m(32).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from {m: 2, h: 2, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-13)\/k*k)\/((k\/(k*k**(-27)*k))\/k))\/(((k*k\/((k**(-1\/20)\/k)\/k))\/k)\/(k**(-5)*k)) assuming k is positive.\nAnswer: k**(-881\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4 (c) 9 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.098, -4, 1, 5, 8\/7 in descending order.\nAnswer: 5, 8\/7, 1, 0.098, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 56. Let q = 40 + w. Put -0.3, q, -0.04 in ascending order.\nAnswer: q, -0.3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*j + 42*j + 34*j - 43*j to i + w*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 9*a**2 + 8*a - 21. Suppose 3 = 2*h + 5*v, 0 = -2*h + 6*v - 3*v + 11. Let c be j(h). What is the highest common divisor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1540\/462*(-2)\/(-10)*6\/40?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -14. Let a = 929\/7 - 133. What is the nearest to -1 in a, i, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*n - 25 + 38 - 22 + 234*n + 128*n.\nAnswer: 918*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12035 is divided by 708?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*a + 17, -7*a - 3*k + 3 = -10*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03337 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f = p - 10, 0 = f + 5. Let v(d) = -d**3 + 8*d**2 - 8*d + 3. What is the remainder when v(p) is divided by -1*13*12\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 64 = -48. Solve s - 4 = 5*m, 6 = m + b*s - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/14 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 365922732 a multiple of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**2 + 46*m - 46. Let q(s) = 23*s**2 - 98*s + 90. Let z(d) = 7*o(d) + 3*q(d). What is z(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a decade?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365.9945 - 0.0055. Let m = r + 365.827. Let j = m + 0.1501. What is j rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 1. Let d = q - 10. Let i = d + 32. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -10\/27, -0.2, 0.1, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111100010110 (base 2) to base 8.\nAnswer: -117426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*18 + (-81925)\/(-4520)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uzuuuuuu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6 and -3\/846116?\nAnswer: 2538348","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -72, -211, -476, -909?\n\"Answer: -7*p**3 - 6*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472)*2 - sqrt(5472) - sqrt(5472))\/(sqrt(18)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 257288 and -0.06.\nAnswer: -15437.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 14*l + 3. Let a(s) be the third derivative of -17*s**4\/8 - 5831*s**2. Give a(g(x)).\nAnswer: -714*x - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 95 - 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20031237, 40062469, 60093699, 80124927, 100156153, 120187377?\nAnswer: 140218599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6630532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11620000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*b**5 - 2*b**2 + 71 wrt b?\nAnswer: 2160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let l = -26.09 - -26. Let w = 0.91 - l. What is the smallest value in w, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*z = -8824, -3*s - 315*z = -316*z - 6626. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t + 2*y + 9, 0 = -4*t + 5*y - 12. Let j(v) = v**3 + 6*v**2 + 4*v - 6. Let i be j(-5). Is 18 a factor of 94*t*i\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960200 and 100?\nAnswer: 960200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3 - (-6 - (-12 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 15 - 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -3177077?\nAnswer: -3177072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*r**3 - 81*o**3 + 281*o**2 - 4*o*r**3 + 9*o*r + 1546754*r**4 - 8*r**2 wrt r?\nAnswer: -12*o**3 - 24*o + 37122096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxqxxxxddeq. Give prob of picking 1 d and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 + 4*p**2 - 6*p**2 - 7 - 70090*p + 70088*p as z + s*p + l*p**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -20*t. Suppose 0 = -7*d + 2*d + 75. Suppose t = -2*n - 3*n + d. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 4645993.\nAnswer: -5\/4645993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 53744*d**2 + 161115*d - 5804028.\nAnswer: (d - 9)*(d + 12)*(d + 53741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2716975 divided by -25?\nAnswer: 108679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -7164?\nAnswer: -7160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 265285*h - 28856660.\nAnswer: -5*(h + 109)*(h + 52948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155081900 to the nearest integer?\nAnswer: 12453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/488306 and 1\/107320.\nAnswer: 9766120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-559)*(-13)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -715*u - 985 + 494 + 491 + 2148*u. Let i(q) = 2*q. Give d(i(m)).\nAnswer: 2866*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.076 + -6.69. What is t rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(-14*x - 4 + 4)*(-3 - 1 + 2)*(2 - 5 + 1)*(1 - 3 + 3) as l + g*x and give g.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12*o**3 - 2*o**2 - 2*o - 2. Let i be s(3). Suppose 4*z - i - 46 = 0. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966632490 rounded to the nearest 100000?\nAnswer: 966600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 990 + 466*b - 210 - 465*b + 3244 to the form n*b + r and give r.\nAnswer: 4024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - k - 32 = 0, -192*d - 219*k = -195*d - 636 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/60)\/23*-6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2185*f - 10. Let c be g(6). Let s be (-2)\/(0 + (-2)\/c). Round s to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*j - 89 + 561 + 2424 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6606*o = -757*o - 421128 for o.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(3\/5)*g))**(-1\/3) assuming g is positive.\nAnswer: g**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376 or 388?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 41 = -3*c. Suppose p - 3*t = -p - c, 4*p = -3*t - 53. Let g(o) = o**3 + 12*o**2 + 10*o - 2. List the prime factors of g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45666.\nAnswer: 2, 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f**2 + f**2)*(2 - 2 + 4*f) + 3*f + f**3 - 3*f.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*k**3 + 8*c**2 - 1774*c*k**4 wrt k?\nAnswer: -3*c**2*k**2 - 7096*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140446469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 94 = -2*m + 96, -5*m + h = 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/42 + h**6\/15 + 27*h**5\/20 + 13*h**4\/3 + 14*h**3\/3 + 3*h - 24. Factor k(r).\nAnswer: -r*(r - 7)*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1215, 1, -1, -2, 4, -695, 5 in decreasing order.\nAnswer: 1215, 5, 4, 1, -1, -2, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156319255 to the nearest integer?\nAnswer: 12503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*b + 27, -5*b = -2*a + 3 + 10. Let s be (2\/a)\/(11\/(-165)). Suppose 3*r - 4*u - 58 = 0, s*r + 2*u - 142 = -28. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 - 3*s**2 - 4*s**3 + s**3 + (1 - s**2 - 1)*(7*s - 4*s - 2*s) + 4*s**2 - 2*s**3 - 4*s**2 in the form b + p*s + z*s**3 + v*s**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 21. Let u(z) = -11*z. What is f(u(w))?\nAnswer: -44*w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)\/(i*i*i**(-1\/11)))\/(i**(-3\/5)\/(i\/(i\/(i**(2\/3)\/i)))) assuming i is positive.\nAnswer: i**(-1037\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 88 = 0. Suppose -3*y + 24 = -0*y. What is the remainder when p is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 508?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*(-35)\/40 - 3. Let j = h - 11\/4. Which is the second smallest value? (a) -1 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 3. Let g be j(3). Let w = 0.109 - 0.609. What is the closest to g in 4, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Suppose 8 = i*y - 0*y + 4*o, 2 = 2*y + o. Suppose y = l - 5 - 10. What is the remainder when l is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlls when four letters picked without replacement from xllsslnslwlll.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 7*c**2 + 7*c + 6. Let t be m(-6). Solve t + 3\/4*i**2 + 3\/4*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = -r - 1, -r = 2*j - 35. What is the highest common divisor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/60 - 7*g**4\/24 - g**3\/2 - 2*g**2. Let c be w(-7). Let o = 13 + c. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**4 + 1471*h**2 - 130*h**3 - 1471*h**2 + 141*h**3 - h - 1 as p*h**2 + u*h**3 + q*h**4 + z + d*h and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*v - 7246857, -39*h - 7246913 = -5*v - 43*h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.983+34\nAnswer: 33.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 126*g. Let z(s) = 7*s - 44. What is z(f(m))?\nAnswer: 882*m - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902*t + 2 - 2 + 685*t - 2113*t.\nAnswer: -526*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.252+-1\nAnswer: -1.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 + 4 = -t, 2*f + t = 0. Let v be (-3)\/(-12)*f*-4. Suppose v*k = -k. Put k, -10, -1 in increasing order.\nAnswer: -10, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 6*a + 12. Let q be s(4). Suppose -m = 4*h - 2460, -5*h + q*h = -4*m - 598. Is h\/(-10)*(-4 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y. Let v = 25 - -3. Let p be (y - 8\/v)*2. What is the second biggest value in 5, p, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-984)\/2460)\/(28\/(-5))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2*50\/5 + 16298\/812\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -17*h**2 - h**2 + 90*h**2. Let a(o) = -8*o - 12. Suppose 30 = -7*z + 2*z. Let b(w) = -w - 2. Let y(c) = z*b(c) + a(c). Give y(r(v)).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 - 2.1. What is the second biggest value in k, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a06a + -2b5?\nAnswer: -a352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1198948964?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 10, j: 2}. Give prob of sequence jjf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118074587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.953 - 9.453. Let n be 90\/(-4) + 6\/12. Let a = -11 + n. What is the biggest value in a, -5, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5946668 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/6? (a) -1\/6 (b) 5 (c) -4\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v + 8*v**3 - 40*v + 0*v**3 - 9*v**3 to the form b*v**3 + n + j*v + k*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1070 - -586. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 227865*d - 1367370 = 0. Calculate d.\nAnswer: -45579, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*x**4 - 200*x**3 + 118*x**2 + 40*x = 0. Calculate x.\nAnswer: -5\/21, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79441 is divided by 311.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**2\/2 + 23*x - 1. What is the remainder when s(0) is divided by (1 - 4)*-1 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18811906, 37623841, 56435774, 75247705?\nAnswer: 94059634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333.3 - -333. Let p = -0.73 - 0.07. Let u = g - p. Which is the second biggest value? (a) 0.2 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1527112*g**3 + 15*g + 10610 wrt g?\nAnswer: -9162672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2771, 13018, 30123, 54104, 84979, 122766, 167483?\n\"Answer: 3*p**3 + 3411*p**2 - 7*p - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*x - 89*x - 2*s = 82*x - 44, 0 = -x + 4*s + 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*o**2 + 407*o**2 + 270*o**2 + 2*o - 2*o - 2*o**2 + (-2 - 2*o + 2)*(0 + 0 - 2*o) as j*o**2 + s + u*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112\/177 - -2\/59. Let q be 15 - (1*(-3 + -1) - -5). Suppose -q = -2*r - 4. Which is the nearest to f? (a) -3\/4 (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298974036 + 0.6.\nAnswer: 298974036.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 643 divided by 103.\nAnswer: 643\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-4)*(-282)\/141.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882)*-3)\/(-1*sqrt(36)).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 2. Let o(y) = -y**2 + 5*y + 6. Let v be o(5). Suppose 2*x = v*x - 32. What is the remainder when g(7) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*p = -4, 2*z + 10 = 5*z + 2*p. Is 13\/1 + (-6)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2*y**2 - 2. Let z(g) = -9*g - 5. Let i(d) = 0*d + 2*d + 2 + 6*d - 4*d. Let x(h) = -5*i(h) - 2*z(h). Give x(v(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/21)\/(v\/v**(-2\/19)))\/(v**7)**(-1\/8) assuming v is positive.\nAnswer: v**(-1039\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -30. Let r = b - -37. Let x(j) = 205*j**2 + 5*j. Let f be x(-1). Calculate the highest common divisor of f and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3, 2, -7 in increasing order.\nAnswer: -7, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 20*m**2 - 8*m + 3. Let f(q) = q**2 + q - 1. Let w(j) = -6*f(j) - v(j). Let o be w(-2). Calculate the remainder when 1*(o\/(-3) - -2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1278\/65 at most -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6795 - 23661 = -216*o. Does 37 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 201 = 84. Let f = 39 + q. Let r(j) = 26*j**2 - 6*j**2 + j - 11*j**2 + 1 - 8*j**2. Calculate r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -482, 1, -32, -2205 in descending order.\nAnswer: 1, -1, -32, -482, -2205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -40*g**2. Let n(b) = 43*b + 47*b - 131*b + 39*b. Give w(n(v)).\nAnswer: -160*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 1458 and -0.1.\nAnswer: 1457.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84015 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 507181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18522\/(-28))\/63*-2. Suppose 3*z - 72 = -3*k, 45 = -3*z + 5*z + k. Is z bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.868 + 0.26. Let l = 21 - 21.092. Let j = r + l. Round j to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/2)\/(40\/16))\/(7\/70)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26093 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.34241kg in micrograms?\nAnswer: 79342410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1217*s**2 - 953*s**2 + 3670 + 1503*s**2 + 326*s - 326*s wrt s.\nAnswer: 3534*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12854407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 6*l + 680 + 184 = 67*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*h + 7 + 6 = 0, 0 = -3*o + h + 3. Let s(d) = 2*d**o + 28 - 3*d**2 + 17*d + 2*d**2. What is the units digit of s(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -218154154*j**4 - j**3 - 2516*j**2 - 9309*j wrt j?\nAnswer: -5235699696*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = -5*z - 16, -4*z - 24 = -4*h. Let a = -169641 - -169647. What is the second smallest value in 1\/4, a, h, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 585*q + 37 = -580*q, -25 = -4*y + 9*y - 4*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {h: 5, o: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-6760)*13*(-13)\/2*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -932*j - 54194. What is x(-58)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 48*b - 50*b = 16236, -4*b = 5*n - 20321. What are the prime factors of n?\nAnswer: 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 960 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4238)\/(-13) - (-10)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + (-2 - (-1 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-33))\/n**(-14\/5) assuming n is positive.\nAnswer: n**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = -2. Suppose 90 - 18 = -v*o. Does 12 divide (-436)\/o - 4\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*-1 + 399\/228?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 2. Let j(t) = -t - 4. Let i be j(-4). Suppose 4*u = -2*m + 26, -2*u + 4*u = 4*m + 8. Suppose z = -i*z + u. Calculate s(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120454727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Let n be (-2)\/10*p*15. Solve 3*a = -6 - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (11 + -29 + 13)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 2\/5749 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(16\/5)\/z)**45*z*z**(-2\/7)*z\/(z*((z*(z\/z**23)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(866\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Suppose -4*m = -i - 69, 3*i = -2*m - i + 48. Let q be 4\/m + (-104)\/(-18). What are the prime factors of x(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -171.1 (b) 7\/2 (c) -0.4 (d) 2\/11 (e) -0.5 (f) 6\/5 (g) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 73*i**3 - 10*i**2 - 2*i + 27. Let g(c) = 44*c**3 - 5*c**2 - c + 13. What is 5*g(v) - 3*h(v)?\nAnswer: v**3 + 5*v**2 + v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.0574 (c) 4 (d) 0.01 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a = -4*a + 6*a + 506 - 2420 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(10\/(-12)*(-150)\/250).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*((-1)\/(-2) - 0). Suppose 1655*a = 1661*a - 24. Suppose -119 = -r*u + a*g, g + 41 = u - 0*u. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505765155.\nAnswer: 3, 5, 7, 31, 155381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 2*f + f)*(-3*f**2 + 6*f**2 + 0*f**2)*(-4*f - 2*f + 4*f)*(7 - 5 - 15).\nAnswer: -390*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2500598, 5 in increasing order.\nAnswer: -2500598, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p = -132091 - 297909. Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 174\/(-21) + (-2)\/(-7). Let k = 5 + t. Let i(s) = -3*s + 2 + s + 3*s - 4. What is i(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 11*z**3 - 21*z**2 + 19*z**2.\nAnswer: 11*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306730 (base 8) to base 13.\nAnswer: 37486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:39 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 298.98 + -323. Let u = y - -24.5. Which is the second biggest value? (a) u (b) 2\/13 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342855 and 4010.\nAnswer: 685710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 - 1\/4*z**5 + 0 - 2*z**3 + 5\/4*z**4 + 0*z = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7285 + 15994. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbabbbbbbb. Give prob of picking 2 b.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285*x**4 + 71*x**3 - 54*x**2 + x + 242 wrt x?\nAnswer: -6840*x + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -28?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7.3. Let p = -0.023 - 117.977. Let n = p + 115. What is the smallest value in f, n, 4\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/25 + 2\/5. Let g be (-3)\/(-6)*6*(-2)\/(-3). What is the common denominator of k + (g - (-236)\/56) and -1\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -24*b**2 - 698*b - 40. Determine s(-29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/9*585\/(-60). Does 104 divide (-1116)\/(-24)*y\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*j - 102, -j = -2*h - 3*j + 44. Let o be ((-20)\/h)\/((-2)\/3). What is the third smallest value in -0.3, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 1 + (-9 - -5) + 43. Let q = 176 - d. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + 235. Give a(-26).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 5. Let a(g) = -2*g**2 - 14. Let i be (60\/(-48))\/(2\/8). Let f = i + 16. Give f*d(m) + 4*a(m).\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 4 + 0 - 1 - y to the form f + p*y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61\/87 - 1\/29. Suppose 3*i + 28 = -3*o - 8, 0 = 4*i - 4*o + 88. What is the closest to 1\/4 in 4, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1151615*a**3 + 189*a**2 + 425*a wrt a.\nAnswer: -6909690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 32. Let k = u + 7. Let q = 8.99 + -9. Which is the second biggest value? (a) q (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 3}. What is prob of sequence aja?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3 + 84*j + 1 - 78*j. What is the remainder when y(3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 291.47 * -5.\nAnswer: -1457.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/35 + 4875\/46375.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/4 - 13*d. Let s(n) = 3*n. Calculate w(s(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 9*f - 1. Suppose 24 = 3*z - 6*z. What are the prime factors of m(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -96*a + 571. Calculate z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -811, -1615, -2445, -3313, -4231, -5211, -6265?\n\"Answer: -2*z**3 - z**2 - 787*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0284 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19272022, 5.\nAnswer: -19272022, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -683\/8 + 2041\/24. Sort d, 1\/321, 5 in ascending order.\nAnswer: d, 1\/321, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 317*h**5\/60 + 2*h**2 - 348*h - 1. Let f(w) = 27*w. What is f(s(g))?\nAnswer: 8559*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*f + 16, 9 = c - 5*f - 19. Solve -c*d - 21 = 2*a, -d = -5*d - 2*a - 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, e: 9, d: 3}. What is prob of picking 1 d and 1 e?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88675033.\nAnswer: 19, 4667107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/54 and -133\/15694062.\nAnswer: 141246558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 3*w**2 - 6*w + w**2.\nAnswer: 3*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*n - 5*t, -771*t + 28 = n - 767*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-3) - (13028\/(-3) - (-14 + 1)).\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12541.494 to the nearest integer.\nAnswer: -12541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.59, -0.4, 0, 1, -1\/6, 6\/13, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1510 (base 6) to base 16\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 128 = 896. Let u be (-30)\/(-80) - (-2252)\/v. Which is the nearest to u? (a) -2\/7 (b) 2\/7 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 61. Let d be (-90)\/(-7 - -2) + 0. What is the tens digit of r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 334532024 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161.3 + -12.7. Let o = -2271507397.9999931 - -2271507572. Let a = n + o. What is a rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/17)\/y*y*y**(2\/5)\/y*(y**(1\/2)*y)**(-42) assuming y is positive.\nAnswer: y**(-5416\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4\/7 + 26896*y**3\/7 + 53768*y**2\/7 - 537856*y\/7 + 92208 = 0.\nAnswer: -26894, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 69*w**5 - 7314765*w**4 - 13994004*w**3 + 30531216*w**2 + 55974912*w - 5088624 = 0.\nAnswer: -2, 2\/23, 2, 106013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1538447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**3 - 2*u**2 + u. Let g be b(1). What is the tens digit of (-118)\/(-4)*(g - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 307, -19, 1\/4, -423, -2\/17 in increasing order.\nAnswer: -423, -19, -2\/17, 1\/4, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -2. Let y(i) = -3*i**3 - 2*i**2 - 2*i - 3. Let o be y(-2). Suppose 0 = -t - a*z - 4, o = 2*t + z + 4*z. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0784 - 0.0760091. What is o rounded to four decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215454197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 11. What is the remainder when 223 is divided by u(17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -665 and 50464 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((35\/30)\/7)\/(18*20\/62640)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 21449296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 49 = -26. Let o be (-3)\/g + 1\/(-5). Suppose 4*c - c + 6 = o. Are -3\/2 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-304)*-8*2)\/((-13)\/(-12)*2)?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-15))\/(4\/(-10)). What is the nearest to -5 in o, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 306 + 326 - 695 + 74*z - 2*z in the form j + k*z and give k.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/17 (b) 5 (c) -0.5 (d) -6\/223 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3907 - 3916 - (1 + 22 - -1 - 0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714 and 111979.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrkirkkkk. Give prob of picking 1 r and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28306004 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 7*j**6\/15 + j**5\/20 + 3*j**3\/2 + 5*j**2\/2 - 42*j. What is the second derivative of b(o) wrt o?\nAnswer: 168*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1120615893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10443654 to the power of 1\/2, to the nearest integer?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 12) in base 13?\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54434456927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 p when four letters picked without replacement from {e: 1, a: 5, u: 1, p: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 268*z + 4440.\nAnswer: 4*(z + 30)*(z + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 458339 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-1 + 2) - -28 - 89 - -10?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 10*t - 72 + 154.\nAnswer: 10*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -1, 0, 42 in decreasing order.\nAnswer: 42, 0, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 56 = 312. Put -4, -2\/7, -5, q in descending order.\nAnswer: -2\/7, -4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10618591 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47757139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47628 - -80269. Round b to the nearest 100.\nAnswer: 32600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:21 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -138332 - 11192. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:04 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2. Let u(h) = -40*h**2 + 22*h**2 + 21*h**2. Determine k(u(s)).\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*g = 98*g + 6. Let l(j) be the third derivative of -1\/6*j**3 - 7*j**g - 1\/24*j**6 + 0*j + 1\/60*j**5 - 1\/24*j**4 + 0. Determine l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-48)*(-1)\/(-20)*8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115 + 119. Suppose 3*t = -0*i - o*i + 164, -5*t + 2*i = -256. Calculate the highest common factor of 364 and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h + 23356 + 19314 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(4\/11)*w*w))\/w**(18\/5) assuming w is positive.\nAnswer: w**(-273\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 4*i + 15, 0 = -2*i - 8. Let n be (3 - 0) + -3 - u. Let k = -150 - -145. Which is the biggest value? (a) k (b) n (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**7\/840 + r**6\/45 + r**5\/12 + r**4\/12 - 5*r**3 - 14*r. Let f(k) be the second derivative of h(k). Determine f(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -26. Solve g = 3*d + 3*b + 7 - 19, -5*d - 2*b = -14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 - -54.3853103\nAnswer: 54.5753103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461 = 32*r + 77 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(3*j - 3*j + 2*j**4)*(-1 + 1 + 5*j)*(0 + 3 - 2).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 + 6 = 0. Let f(x) = x**3 + x + 5. Let n be f(0). Let y = 12 - 16. Sort y, l, n in decreasing order.\nAnswer: n, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -48. Does 8 divide ((-56)\/35)\/(1\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/4 + 1\/2. What is the closest to 1 in y, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56961686 divided by 2066?\nAnswer: -27571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23058 - -39739. What are the prime factors of b?\nAnswer: 7, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15087 is divided by 98?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 17*n**2 - 19*n + 50. Let f be u(16). Factor 5*t**3 + 4093*t - 640 + 70*t**f - 1922*t - 2011*t.\nAnswer: 5*(t - 2)*(t + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-279888)\/(-153))\/56*14*22\/539.\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**7\/2520 - q**5\/60 - 2*q**4\/3 - 3*q**2. Let j(i) be the second derivative of t(i). Let x(b) = 1. Give 3*j(z) + 8*x(z).\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4371 (base 11) in base 13?\nAnswer: -2816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6 + (-12)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 2 - 5*y - 3*y.\nAnswer: -9*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/52 + 65\/(-20).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10078618?\nAnswer: 2, 11, 458119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 + 0.05. Let t = 0.042 + -17.042. Let i = -17.2 - t. Put -5, i, j in increasing order.\nAnswer: -5, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 3. Determine z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 15\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184199?\nAnswer: 184199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 28, -2 in decreasing order.\nAnswer: 28, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1714.20229 to the nearest ten.\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037198 - -2.\nAnswer: 1.962802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 96, 65, -4 in decreasing order.\nAnswer: 96, 65, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42085886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(36)\/sqrt(3)))\/(sqrt(242)*-1) + -2 - ((sqrt(4)\/sqrt(8))**2*3 - ((sqrt(6)\/sqrt(3) + 0)*1)**2).\nAnswer: -3\/2 - sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5 + 184*g**4 - 4408*g**3 + 7916*g**2 + 4410*g - 8100 = 0.\nAnswer: -1, 1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z + 21*z - 3*s - 9, 12 = -3*z - 4*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23536 = o - 4*c, -3*o - 2*c = -41667 - 29025. What are the prime factors of o?\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.34 + 5.74. Which is the smallest value? (a) 0 (b) w (c) -3\/4 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 + 1 + 3*c**3 - 5*c**2 + c - 3*c. Give p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - b - 2. Let l = 2 - -1. Let u be k(l). Suppose 0 = -y + 3*y - u. What is the lowest common multiple of 10 and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 16*b**2 + 18*b - 15. Let y = 15 + 2. Let l be j(y). Suppose 0 = 5*s - 4*m - 15, l*s + 5 + 1 = 4*m. Solve -s*h = -4*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 25. What is the third derivative of 27*t**2 + g*t**3 - 2*t**3 - 28*t**2 + 10*t + 11*t**5 wrt t?\nAnswer: 660*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9231474 to the power of 1\/2, to the nearest integer?\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290510 and 42395.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*r**2 - 25734148936*r + 25734148936*r.\nAnswer: -249*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 3680?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897 by 25.\nAnswer: -897\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 2*p. Let d be o(-2). Suppose 2*v + k + 3*k - 14 = d, 0 = 4*v + 4*k - 24. Let j(n) = 3*n - 7. What is the remainder when j(5) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 428 and 429 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - q**3 + q**3 - 3*q**3 + 0*q**3 + (0*q + 2*q - 4*q)*(2*q + 2*q**2 - 2*q) + q + 2*q**3 - q + (-4 + 15 + 4)*(2*q**3 + 1 - 1).\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/52)\/(5*(-1)\/(-20))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 7*p + 8. What is o(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*b = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3972, -4, 0 in descending order.\nAnswer: 3972, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -4.3. Suppose -2 = -2*y - 5*x + 11, 4*x - 12 = -2*y. What is the biggest value in y, 2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 938. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 4}. What is prob of sequence db?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251*u**4 - 742202 - 160*u**4 + 741706 with respect to u.\nAnswer: -1644*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 312, 643, 964, 1269, 1552, 1807?\n\"Answer: -a**3 + a**2 + 335*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35516 is divided by 17753?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -3. Let m = n - -4. Sort 0, -3, m in increasing order.\nAnswer: -3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 34*p**3\/9 + 956*p**2\/9 + 6776*p\/9 + 784\/9 = 0.\nAnswer: -14, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -25*a - 3. What is the tens digit of b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 + 7*v**2 + 7. Let p(j) = -3*j**3 - 6*j**2 - 6. Let f = 735 - 741. Let g be 7*2\/((-4)\/2). What is f*a(k) + g*p(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5509, 5588, 5667, 5746, 5825?\n\"Answer: 79*i + 5430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - -10 - (2 + 0). Find s, given that s**z + 54679*s - 54677*s - 2*s**3 - s**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) 3\/5 (c) 35 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/25 - -17\/275. What is the closest to b in 0.04, -4, 1, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4683*s**3 - 38*s**2 + 21*s - 19774770 wrt s?\nAnswer: 14049*s**2 - 76*s + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83617 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -227, -584, -1141, -1898, -2855?\n\"Answer: -100*s**2 - 57*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t + 4*q - 8 = 0, 3*t + 4*q = 0. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-93)\/6 + -2). Suppose -4*f + 9 - u = -2*m, -4*f - 5 = -m. Suppose 0 = p - 7 - m. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10*q + 49 = 0. Let w be (-4)\/7*q\/2. Which is the third biggest value? (a) -4 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.99703942 - -0.076.\nAnswer: -3.92103942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2\/9 - 1052420*g\/3 - 138448482050 = 0.\nAnswer: -789315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1421, -2841, -4249, -5639, -7005, -8341?\n\"Answer: q**3 - 1427*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(285\/290 - 1). Let a be x\/(-78) - (-21)\/273. Let b = -275\/4 + 68. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4221?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 1. Let i(s) = -s**3 - 5*s**2 - 3*s + 2. Let p be i(-4). Is v(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 340466 - 34791 = -84870. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.07 (b) -0.09 (c) -70 (d) -1 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c, 4*c - 51 = 3*n - 0*c. Let h be 0 + -2 + n\/(-10). Is 1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, -2\/55, 32, 4, 2 in descending order.\nAnswer: 32, 4, 2, 1, -2\/55, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11 - 11 + 4*x + 14*x - 20*x. Let m(n) = 449*n**2. Determine z(m(r)).\nAnswer: -898*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**2 - 18*d**2 - 3*d**2 - 53 + d**3 + 2*d. Let g be s(28). Solve -g*u - 4*z - 19 = -0*u, u + 2*z = -9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 640922894 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1021 + -30051?\nAnswer: -27030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-38) - 2)*36\/18?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a - 1. Let b(q) = 4*q**3 + 2*q + 2. Determine b(k) - 2*t(k).\nAnswer: 2*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(-5*(sqrt(9) + sqrt(18)\/sqrt(2)))\/(sqrt(147) - (sqrt(147)*-2 + sqrt(147)))*-5)**2 + -1.\nAnswer: 46826\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-1 - (-2 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/3 + 8612*v\/3 + 68768\/3 = 0.\nAnswer: -4298, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-366)\/14)\/(3834\/4473*(-2)\/4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/77?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (14 - 19) - 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) + 21\/6 + 3. Suppose 0 = -v + 156 + f. What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1858575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-78 - 2)\/8 - -521 is divided by 109.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1445525 (base 6) to base 9\nAnswer: 137468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 5*x - 3*x + (-x + 0*x + 2*x)*(1 - 3 + 4) - x - 3*x + 2*x - 2.\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.7237 and 1.\nAnswer: 34.7237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2306523 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 47b (base 16) to base 11\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 5*l**2 - 3*l. Let q be f(3). Let t = -5 + q. Suppose t*z + 2*d = -d + 157, 3*d = 3*z - 102. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 40*z**2 + 2*z + 46*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxxbbcxbbxxb. What is prob of picking 2 c and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, y: 1, f: 8, a: 1}. What is prob of sequence ay?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x**2 - x - 4. Let s = -1 + -5. Let j(c) = 5*c**2 - c - 2. Let p(n) = s*v(n) + 13*j(n). What is the units digit of p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Suppose n*c = -3*g + 360, 360 = 2*c + 3*c - 3*g. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8365\/78 - 643\/6. Let f(i) be the first derivative of -8\/39*i**3 - 18 - 8\/13*i**2 + r*i**4 + 0*i + 2\/65*i**5. Factor f(w).\nAnswer: 2*w*(w - 2)*(w + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p**3 - 53*p**2 + 135*p + 16. List the prime factors of u(-16).\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + i - 3. Let t be d(3). Suppose -3*c + t = -2*c. Calculate the greatest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9\/31 + 187\/217. Let n(k) = 11*k - 33. Let q be n(3). Let y be (26\/39*(q + 3))\/(-2). Is y at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -48 (b) -0.31 (c) -2\/89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/(-644)*315\/(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 32*g - 1064. What is the highest common factor of 24 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = -7. Let n = u - -6. List the prime factors of 50\/4 - 3\/n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -18\/7 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230274.\nAnswer: 2, 3, 11, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(528) - 2*sqrt(528) - sqrt(528))*5)\/((sqrt(11) + 1*(sqrt(44)\/sqrt(4) + sqrt(11)))*-6))**2.\nAnswer: 6400\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + 345. Suppose -192 = -447*c + j*c. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*(-216)\/(-405)*72\/(-10).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/5 - 5474*m\/5 = 0. Calculate m.\nAnswer: -2737, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6315 + 6318. Sort 5, 1, f, 6, -1.\nAnswer: -1, 1, f, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 25. Calculate the remainder when 72 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 6503698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -169, 1008 in increasing order.\nAnswer: -169, -1, 1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-2)\/(-5 - -3). Let t(a) = 15966 + 15988 + 14*a - 31955. Give t(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36613.3961 * 0.2.\nAnswer: -7322.67922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-1))*w)**(-3\/19)*((w**(4\/5)*w)\/w*w*w)\/((w*w**(-2\/19)*w)\/w)*(w**(-2\/7)*w)\/w**1*((((w**1\/w)\/w)\/w)\/w)**(-9\/4) assuming w is positive.\nAnswer: w**(22263\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let z be 2*t\/2*1. Let n = 50 + -199\/4. What is the nearest to z in 2, n, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 65 = 5*l. Suppose 0 = 5*h + 14 - 139. What is the remainder when h is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:45 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65075 times -17?\nAnswer: -1106275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 117 - 87 = 0. Let t = -33 + f. Put -2, 4, t in descending order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -2*q**6\/105 + 3*q**5\/35 - 2*q**4\/21 + 15*q + 1. Let t(w) = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5706401 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 833 in 5, -2, -50, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -183*w - w**2 - 102*w + 42 + 285*w - w**3. Give x(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000359 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*-0.9.\nAnswer: -66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) 1\/1321 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 7*o**2 - 4*o - 8. Let a be p(6). Suppose -y - 2*r - 104 = -5*y, -104 = -a*y + r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r + r**3 + (4*r**2 - 5*r**2 + 3*r**2)*(3*r - 6*r + 2*r) + r**3 + 2*r - 2*r + (r + r - r)*(-2*r**2 + 2*r**2 - 2*r**2) + 0*r**2 + 0*r**2 - r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 6 = 3*t. Let p be t + (4\/(-2) - -11). Suppose -4*n = -14 - p. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 133. Let y be k(9). Suppose -2*u = u - 66. What is the greatest common factor of y and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*a - 46 + 251 = -113. Suppose -32\/5 + 8\/5*v**2 + 4\/5*v**a - 16\/5*v = 0. What is v?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 29. Suppose 1 = -2*k + k. Put -4, i, k in ascending order.\nAnswer: i, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let n be f(-5). Suppose n*b = 20, -4*s - b = -36 - 60. Find the third derivative of -27*z**2 + z**6 + 11*z**6 + 12*z**6 - s*z**6 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.7, -174, -0.4, -10?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 21 = -r + 5*o, 0 = -5*r + 5*o + 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4 - 15*m**3 + 1208*m**2 + 2*m wrt m.\nAnswer: 24*m - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 100 = 2*l. Solve -2*a + 3*n + 10 = -2*n, 0 = 5*a - 5*n - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-10) + 4\/(-20). Suppose -q*l = -2*r + 20 + 183, -5*l - 25 = 0. What are the prime factors of r?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*t**3 - 397*t**3 + 567*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -4*l + 4*m, -3*m - 1011 + 1062 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 5*k + 25, -3*k = z - 25. Suppose -o = -6*o + z. Solve o*d + d - 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 7. Suppose 2*l = m + 71 - n, 5 = -m. Calculate the highest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + (-10)\/25. Suppose -4*l - 4*w + 32 = 0, 3*w + 0*w - 50 = -5*l. Suppose z = -c + 33 - l. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, -30 in ascending order.\nAnswer: -30, -13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 9 - 252*u**3 - 4 + 24.\nAnswer: -252*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441749 is divided by 750.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 594963 rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125683502 to the nearest integer?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -w + s, 23*w + 2*s = -2*s + 52. Let t(m) = -m**3 - 6*m**2 + 7*m + 3. Let c be t(-7). Let p(v) = -9 - 3*v - v**c - v**2 + 4*v + 0*v. Determine p(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111241 = -8*k + 5*k + 16*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 7, -4, -3 in increasing order.\nAnswer: -20, -4, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + 1100101000?\nAnswer: 1101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.533 - -4.333. What is the third smallest value in f, 4, -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j**3 - 8*j**2 + 4*j + 2. Let s(p) = -2*p**2 - 1. Let a(k) = -m(k) + 2*s(k). Let b(x) = -13*x**3 + 3*x**2 - 3*x - 3. Determine 3*a(f) - 4*b(f).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:50 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04899 + 5.\nAnswer: 4.95101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let t(r) be the third derivative of 0*r + 0*r**3 - 5*r**2 + 0 - 1\/15*r**5 + 0*r**4. What is x(t(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6. Let u = -0.2 - -5.2. Let z = -5.4 + u. Which is greater: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, -1013, -3268, -6423, -10478, -15433, -21288?\nAnswer: -28043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 522 + -537 + (-2 - 26) + (1 - -14)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-25)*-15*(-10)\/(-6). Put 14, -1, -3, m in ascending order.\nAnswer: -3, -1, m, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -840*o**6 + o**3*z**3 - 15142*o**2*z**3 wrt o?\nAnswer: -100800*o**3 + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = -s - 92. Calculate the remainder when 2\/9 - s\/18 is divided by (4\/6)\/((-4)\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(85)*-3)\/(sqrt(5) - sqrt(55)\/sqrt(891)).\nAnswer: -81*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 3 + sqrt(396) + -2 + -5*4*sqrt(396) + 4)**2*4.\nAnswer: -4320*sqrt(11) + 513316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k + 21. Suppose 14*q = 11*q - 21. Determine x(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258 + -140. Suppose -21 = -3*l + 2*i + 14, 95 = 5*l + 4*i. What is the remainder when d is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.23*5\nAnswer: 6.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1206*i**3 + 3*i + 3 - 2 + 1208*i**3 - 86*i**2 + (-4*i + 3*i + 3*i)*(-3*i**2 - i**2 + 2*i**2) to the form a*i + x*i**2 + c + k*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3535, 11053, 22541, 38005, 57451, 80885, 108313, 139741?\nAnswer: 175175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252250 by 50.\nAnswer: 5045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44462 and -0.2721.\nAnswer: -12098.1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43040 and 1131145.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(1\/11)*n*n)\/n))**(-2\/7)*(n**(3\/2))**(-3\/20))**(7\/2) assuming n is positive.\nAnswer: n**(-613\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one-hundred-and-one halves of a litre in millilitres?\nAnswer: 50500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + 4 + -7 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635872902?\nAnswer: 2, 3, 7, 449, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/3)*h)\/h)\/h**(-4)*(h**3*h)\/(h**(3\/8)\/h) assuming h is positive.\nAnswer: h**(175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 102.1 and 10863941.\nAnswer: 10864043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85292*n - 65*n**2 + 85487*n - 170779*n.\nAnswer: -65*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*g**3 + 24486337 + 53*g**2 - 24486337)*(-2 + 4*g + 2) as v*g**2 + s*g**4 + l + q*g + w*g**3 and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -586.008 + -5?\nAnswer: -591.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3436 and 195412?\nAnswer: 167858908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*h - 115 = -196 + 89, 0 = 20*j + 2*h - 42 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-3)\/(-3) - 0. Suppose -r + 0 + f = g, -r = -g. Is (g + 1)*111\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12 - 2)\/(5\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 4:33 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 437 + -198. Suppose -235*p + x*p + 12 = 0. Let s(r) = r**2 + 5*r - 1. Calculate s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372041 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77153886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**3 - 19*j**2 + 35*j + 1. Let v(n) = -n**3 + 4*n**2 - 7*n. Let i(g) = 2*o(g) + 11*v(g). List the prime factors of i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Suppose -5*c + 4 + 26 = b. 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: Divide 2869780 by 5.\nAnswer: 573956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 46 + 2 + (-7203)\/343?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18 and 13\/136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4 - 11. Suppose 3*d - n - 20 = 6*d, -2*d + 3*n = 6. Let u = d + 17. Solve u + 9 = x*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8816 and 0.01.\nAnswer: -8815.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52352 and 80164.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22 = 4*y, 11*b - 3*y = 9*b + 5. Let t be 2460\/2475 + b\/2. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2046 (base 10) to base 6\nAnswer: 13250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 155*k**2 - 621*k - 182. Give b(-4).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/5 of a hour?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.319 times 6.7?\nAnswer: -8.8373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1719 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 3:20 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*o - 6*o**3 + 179*o)*(-4 + 3 - 2).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 46, 59, 66, 67, 62?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(13\/((-325)\/10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3088 is divided by 3071?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1340146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 + 147. Does 10 divide -4*(-404)\/f + (-4)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.10772 + -93.03228. Let r = -92 - d. Let c = 0.7 - r. What is c rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631.76168 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 6*u = -62, -12 = 49105*s - 49103*s - 4*u for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853966?\nAnswer: 2, 59, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -320\/11 = -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91339757 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.72 or 2083?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -6 - (8 + -3 - -3). Put -18, c, -5 in decreasing order.\nAnswer: c, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 6 = -4*x. Suppose x*j - 1351 = -4*c, -433 = -j + 3*c - 0*c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.53 * -0.03\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59568259.999164 - 59568721. Let w = s + 461. What is w rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o - 20. Determine d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208464369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0 = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r**7)**(-37)*(r*r**(2\/7)*r*r**(2\/21)*r)\/(r**(2\/7)*r*r*r**(-3\/2)*r) assuming r is positive.\nAnswer: r**(-18581\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 13 = 5*i - 117, 63 = 3*i + 3*p for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23955231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -222 - -365. Suppose -10*x + 33 = -7*x. What is the greatest common divisor of s and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + sqrt(80))**2 - -3*sqrt(10)\/sqrt(2).\nAnswer: 13*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*o - 6*r + 2*r, 0 = -5*o + 4*r + 24. Suppose -254 = -o*q - 2*x, 3*x = 3*q - 0*q - 177. What is the remainder when q is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7 - 1 - t**2 + 4 - 5*t - 14. Let d = 3 - 7. Let l be m(d). Solve 2*u + u + 15 = l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207278, -207313, -207410, -207599, -207910, -208373, -209018?\nAnswer: -209875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2130 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-2)\/(6\/27). Let i = -13 + n. Let p be (-2)\/i + (-3 - -2). What is the biggest value in p, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(180) - (0 + sqrt(180))) + sqrt(180) + 5)**2.\nAnswer: 72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n + 0)*(-2*n + n - n) + (2*n + 3*n - n)*(-4*n + 6*n + 2*n).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -1.6. Let h = 47 + -50. Sort -5, h, v.\nAnswer: -5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*t - 6 = -39, -g - t = -7. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(300))**2 + sqrt(3) - sqrt(15)\/(sqrt(5)*1).\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4 - 16*b**3\/3 - 8*b**2 - 5. Factor d(i).\nAnswer: -4*i*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + 5*sqrt(264)\/sqrt(8))\/sqrt(3).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from brrrbrrbrbr.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2797? (a) 5 (b) -0.2 (c) 0.01 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375749 or -375746?\nAnswer: -375749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 72*t - 11. Let f be r(-7). What is the units digit of -1 + 4 - -3*f\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -9. Let v = p - 23.035. What is v rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/48*8*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200\/1877 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-9))\/((-20)\/6). Let v = 0.3 + -0.1. What is the biggest value in 0, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) -3 (c) 3\/11 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 4*o**2 + 3. Let p be z(5). Let b = p - -22. Solve -4*w = -k - w - 7, 3*k + w + 1 = b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291.53 rounded to the nearest integer?\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.528 to one dp.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88523260.2 rounded to the nearest 1000000?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3098 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18088 and 1.8.\nAnswer: -18086.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2731*u - 573*u + 1127*u + 164761 = 2276*u for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3788*p**4 - 6064*p wrt p?\nAnswer: 45456*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241680 is divided by 5493.\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -1847, -7084, -17775, -35858?\nAnswer: -63271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-35)*5\/2. Let c(j) = j**2 + j**3 + 5 - 2*j + 0*j**r - 2*j**3 + j. What is c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + a + 19, 5*a - 31 = -4*s. Let d be 168\/98 - (-4)\/s. Solve -d*j - 10 - 3 = -m, -2 = j + m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -i - 11 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-3))\/7*11\/((-8448)\/108)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 169*t**4\/6 + 181*t**3\/2 + 6*t - 71. Find the second derivative of s(a) wrt a.\nAnswer: 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12116501 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 3, h: 3, k: 2, e: 1, l: 2}. What is prob of picking 1 h and 1 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 16. Let l be w(14). Suppose 0 = -d - 4*d + l. Let s = d - 31. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1258\/777 + (-2)\/7. Factor r - 2*l + 2\/3*l**3 + 0*l**2.\nAnswer: 2*(l - 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*k + 210 = 115*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgm when three letters picked without replacement from mmmmmgmmgmggmmmmmm?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8) + 506\/(-184))\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-2\/9)\/w))*w)**(-1\/4) assuming w is positive.\nAnswer: w**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 + 4239073*f**2 - 9945*f - 235 wrt f.\nAnswer: 24*f**2 + 8478146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z**2 + z - 26. Let m be q(0). Let v = m - -85. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, q: 1, w: 2}. Give prob of picking 1 g and 1 q.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/120 - t**5\/4 + 7*t**4\/12 + t**3\/6 + 30*t**2. What is the lowest common multiple of 37 and z(14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 40342713.\nAnswer: 4034271.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4298\/7368*(-16)\/(-14)*-72?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 1. Let y(j) = 2658*j**2 - 7. Determine -y(i) - 6*z(i).\nAnswer: -2670*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((((-140)\/(-5985))\/(6\/27))\/(-1))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -2210?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506475 is divided by 42206.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144131*k*q + 326*q + 98 with respect to k.\nAnswer: 144131*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31685101 is divided by 6703?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*z - 1038 + 1001 = 0, 0 = 2*t - 7*z + 73 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 2 r when four letters picked without replacement from krkfrkrkrrkpfkff.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672805.\nAnswer: 5, 7, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/6 - 4\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88776 divided by 274.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293.987 + 0.013. Let w = 294.5 - t. Suppose -1 - 1 = y. Which is the closest to y? (a) -3\/5 (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44322 - s**2 + 9*s + 44322 - 9*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985705 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 252. Let w = u - -32. Let r = 50 - w. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*z - 175*z - 1005 = 0. Suppose 361 = 24*r - z. Calculate the remainder when 665 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -116*n - 989. Determine c(-32).\nAnswer: 2723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -395 - -404. Which is the smallest value? (a) g (b) -2\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 8*a - 62. What are the prime factors of (3 + a\/1)*(-10)\/4?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.943 + -0.043. Let u = x + 0.1. What is the biggest value in 1\/3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1152, 1424, 1862, 2466, 3236?\n\"Answer: 83*v**2 + 23*v + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**28*s\/s**(1\/14)*s\/s**(-24)*s\/(((s*s**(-3)\/s)\/s*s)\/s)*s assuming s is positive.\nAnswer: s**(839\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -1\/3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*q + 24 + 18, 5*q + 2*f = 56. Let u(n) = 63*n - 1. Let a be u(q). Suppose 3*o - i - 1130 = 0, -o + 3*o - a = -i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1310364211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15026, 14964, 14846, 14672, 14442, 14156, 13814?\n\"Answer: -28*x**2 + 22*x + 15032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 + 16*a**2 + 6*a - 105. What is the remainder when 77 is divided by g(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 5, l: 7, z: 1, w: 3}. Give prob of picking 1 z and 1 f.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16656 + 16661. Solve -2*t - 2 = b*z, 4*z = -3*t - 1 + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/185984 and 79\/64.\nAnswer: 185984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r - 2916 = 0. Let r*x**3 + 32 + 83*x + 355*x + 1944*x**2 - 6*x = 0. What is x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**2*r**(-5\/3)*(r*r\/r**30)\/r**(4\/15) assuming r is positive.\nAnswer: r**(-404\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4803 - -5294. What is the remainder when q is divided by 169?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -511 + 527.5. Let l = 9.5 - 18. Let f = h + l. Is 6 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 0) + -4 - 0) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 352551*k**3*p - 4*k**2*p - 55575*k**2 wrt k.\nAnswer: 2115306*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4087 + 4092. Solve g*u = 3*t + 32, -2*u = -0*u - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2)*(-60)\/105. List the prime factors of c\/3*(4 + 238\/(-4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4 + 3\/2*n - 3\/4*n**2.\nAnswer: -3*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 6, t: 2, f: 3}. Give prob of sequence tf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11263 is divided by 229.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19101.\nAnswer: 3, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/(1\/(-2)). Put 5, 4, z in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*j = 174*j + 670 - 18686 + 1452 for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (85\/(-312))\/((-117)\/3861))*-2.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -4 (b) 6\/5 (c) -3\/5 (d) 0.1 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -64 + 37 - 38 - 23*f - 35. What are the prime factors of g(-17)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 723*t = -727*t + 166, 0 = a - 77*t + 383 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 4*y**2 - 2*y - 10. Suppose 68*h - 32*h - 216 = 0. Determine d(h).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11245 is divided by 3720?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 146, 575, 1342, 2489, 4058?\n\"Answer: 7*p**3 + 127*p**2 - p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9782052 and 207858?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12113110012 (base 4) in base 11?\nAnswer: -a3a50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from ooofkeffkokooofokf.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126123386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -1)**2*1 - (-1 + 2 + sqrt(343) - sqrt(343))**2) + 4.\nAnswer: -14*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 18*z - 39. Let b be l(20). Suppose 5*q - 15 = -2*d, 18*d - 4*q = 17*d + b. Calculate the remainder when 103 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*q = 295*q - 93 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 + 56*c**2 + 276*c - 1224 = 0. What is c?\nAnswer: -6, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-22))\/(141\/(-3102)))\/((-378)\/(-9)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, w: 1, b: 4, y: 1, j: 4}. Give prob of sequence yjjp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/995 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3252 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313.077 + 313. Let m = -76.877 - d. Round m to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.2 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -18\/23, -4, -1\/13, -4\/5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-7))\/(65\/(-91))*750\/300.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 16*k**2 - 7*k - 10. Let t be m(15). Let g = t - 21. List the prime factors of g.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:47 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b - 83. Let s be l(15). Let w(p) = -12*p - 8. Let g(j) = -8*j - 5. What is s*g(n) + 5*w(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 8 = 0. Let d be (112\/r)\/(2 + 0). Let l = 15 - d. Is l greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1 (c) 3 (d) -59.3 (e) -2\/913 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/11 - 2406*z**3\/11 - 203744*z**2\/11 - 1514976*z\/11 - 2953472\/11 = 0.\nAnswer: -1112, -83, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/15 - 196*i**2\/15 - 318*i.\nAnswer: -2*i*(i + 45)*(i + 53)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 505\/66 + 15\/22. What is the common denominator of o and -31\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -895, -1542, -2209, -2770, -3099, -3070?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-99)*((-1771)\/230)\/1?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - l + 1. Let q(p) = p**3 + 6*p**2 + 24. Let w(d) = q(d) - 4*s(d). Let c be w(-8). What is the greatest common divisor of 29 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 175214 from -0.0077905564.\nAnswer: -175214.0077905564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 16*j + 15. Let m be p(15). Let a = m - -641. What are the prime factors of a?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -16. Let h = 6.52 + -2.52. Which is the smallest value? (a) d (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*l + 7106, -v + 3*l + 14200 = v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28695*h**4 + 2*h**3 + 1306*h**2 + 11.\nAnswer: -688680*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*b + 23, 4*a + 101 = b + 88 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -700*p - 6299. Let j be x(-9). Put 0.009, 2\/9, j in increasing order.\nAnswer: 0.009, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99585 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2046371 less than 1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 853, 1280, 1707?\nAnswer: 2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 3:22 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + -1 + ((sqrt(176) - (0 + sqrt(176)) - sqrt(176))*4 - (5 + sqrt(176) + 0)) + 3)**2.\nAnswer: 440*sqrt(11) + 4521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1056 (base 8) to base 12.\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*j - 24, 10*x + 2*j = 8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*c - 5*c. Suppose 3*r - 49 = -2*f, 4*r - c*f = -4*f + 56. Suppose 0 = -t + r + 74. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 0) + (4 - 7). Suppose 0 = 2*c + 2*k - f, 2*k = -5*c - 0*k + 18. Differentiate 31 - 28*u**3 - 5*u**3 + c*u**3 with respect to u.\nAnswer: -87*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2 + 564*u - 182580 = 0?\nAnswer: -358, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/2, 5, 10, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -85*k. Suppose -9*c + 6*c + 6 = 0. Suppose c = -2*o - 2. Let z be s(o). Round z to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*z - 324060000 = 132*z. Round z to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 divided by -80?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 7\/6 and 14\/121 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 120023?\nAnswer: 120025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12626652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -79, 4, -0.5, -0.1?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -1. Suppose -13*u + 18*u = 25. Which is the nearest to z? (a) u (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 3*i**2 + 3*i - 4. Determine r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 667 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(4800\/32))\/((-1)\/240))\/(8\/4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.47548 milligrams to kilograms.\nAnswer: 0.00003147548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6139 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(27\/(-72))\/((-6)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18188*c + 218272. Determine n(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h**2 + 7*h. Let w(t) = -39*t + 265*t**2 - 66*t - 69*t**2. Let k(c) = -91*b(c) - 6*w(c). What is the second derivative of k(q) wrt q?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -19*y**5 + 2*y**3 + 47*y - 3. Let m(a) = 21*a**5 - 2*a**3 - 47*a + 4. Let r(x) = 4*g(x) + 3*m(x). Find the second derivative of r(j) wrt j.\nAnswer: -260*j**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443861261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 10*u**2 - u**5 - 16328 + 7*u**3 - 4*u**4 + 16328 = 0?\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -1717\nAnswer: 28\/1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 36 = 2*i. Let d(u) = -2*u + 11. Give d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (11 - 16 - 12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/60 - d**3 - 4*d**2 - 3*d. Let k(y) = y**2 + 7. Let l(m) = -6*k(m) - 7*u(m). Let w(i) = -25*i**2. What is l(w(z))?\nAnswer: 625*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -4. Let h(i) = i**3 - 7*i**2 + 7*i + 5. Let y be h(p). Let t be ((-80)\/(-6))\/((-1)\/(-3)). Solve y = 5*n - c - 10, -t = -4*n - 5*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.13 - 0.07. Let k = h + 0.2. Let z = -2217\/7 - -316. What is the nearest to k in 5, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7 - 5. Let s be 2 - 2 - 1 - -31. Suppose 0*a - a = -s. What is the highest common divisor of m and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 28, -1.15, -0.25, -2 in increasing order.\nAnswer: -2, -1.15, -0.25, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 575e4e - -3?\nAnswer: 575e52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 3300000. Suppose -4 = -t - 1. Let c = -3 + t. Let q be z(c). Round q to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -53, 0.2, -5\/4, 1\/2, 0?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 8*q + 8*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386274463?\nAnswer: 3, 1013, 261739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/642135 and 62\/5.\nAnswer: 642135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 7*y**2 - 30*y - 192. Let k be t(-10). Sort k, -5, -3.\nAnswer: k, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*w - 16 = 12, 269*v + 310*v - 5*w = 574*v + 100 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 133*s - 281. Let z(t) = 35*t + 5. Give z(y(m)).\nAnswer: 4655*m - 9830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11130 + 11364 - s - 20722 to b + w*s and give b.\nAnswer: 1772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 632191.9 days?\nAnswer: 910356336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2210 - -2271 - (1 - (-1 + (-4 - 1)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3110 (base 4) in base 6?\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49.1457 and 0.0664196.\nAnswer: 49.2121196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 3*s**3 - 21*s**3)*(s - 2*s - 2*s)*(14 + 21 + 4).\nAnswer: 2106*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54319869.\nAnswer: 3, 283, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461170 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 62?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-348)\/261*(-546)\/16 and -3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5 and -38\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l = -291 - 105 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2834 or 96192?\nAnswer: -2834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1330 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/15 (b) -3\/5 (c) -3\/4 (d) -1\/4 (e) -5 (f) -2 (g) 1\/367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-469)\/(-140) - (-24)\/(-40). Is g greater than 0.4121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-20)*540\/54\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -33*p**3 - 21*p - 9. Let z(l) = 18*l**3 + 11*l + 5. What is -5*b(g) - 9*z(g)?\nAnswer: 3*g**3 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -49, -72, -95, -118, -141?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 + 8*i + 7. Let d(c) = -c**2 - 3*c - 2. Let v(h) = 8*d(h) + 3*k(h). What is v(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**4 - 2*f**3 + 22*f + 22400 wrt f.\nAnswer: 16*f**3 - 6*f**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (3 + 1*sqrt(7))) + sqrt(70)\/(sqrt(10)*2).\nAnswer: -3 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4657 + 4656.7. Which is the third biggest value? (a) 1\/79 (b) s (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:15 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -0.22. Let y = 1.84 + i. Let v = -3.05 + 0.05. Which is the biggest value? (a) y (b) 0.02 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064492 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90042 divided by -344?\nAnswer: -1047\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (2 - (1 - 3)). Suppose w*u - y - 49 = -0*u, 4*y = 5*u - 70. Sort u, -5, 2 in decreasing order.\nAnswer: u, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3947.05 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -1, 3, -8 in increasing order.\nAnswer: -8, -1, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nltllubnunl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 3*f**2 + 2*f**2)*(4*f**2 - 4*f**2 - 3*f**2 + 14 - 14 - 19*f**2 + (f - 3*f + 4*f)*(-2 + 2 + f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = -24. Let o be a\/(-90) + (-108)\/(-10). Calculate the highest common factor of o and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**3\/9 - 32716*h**2\/9 + 98096*h\/9 + 130816\/9 = 0.\nAnswer: -1, 4, 8176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -777441, -777435, -777429, -777423, -777417?\n\"Answer: 6*r - 777447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 - 5*m**3 - 2*m + 4*m**3 + 1. Let k(w) be the second derivative of -3*w**5\/20 + w**3\/2 - w**2\/2 - 30*w. Give -3*k(j) - 4*n(j).\nAnswer: j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - a + 30, 5*o - 11*a + 60 = -8*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 335? (a) 0 (b) 6\/11 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 - 1. Let i be 3*-1 - (-6 + 4). What is m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 226, 332, 440?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2323 (base 13) to base 8.\nAnswer: 11502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*j - 101*j = -1174 + 426. Suppose 0*f - 7*f - 182 = 0. Are j and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l - 2*l + 8*l - 68 - 2*l + 3*l in the form i + y*l and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1967, -3939, -5909, -7877, -9843, -11807, -13769?\n\"Answer: n**2 - 1975*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/13 and 119\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 54 - -8 - (-63 + 51) - -6.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 53. Solve -4*u + 2 + w = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -56, 4, 2, 46 in decreasing order.\nAnswer: 46, 4, 2, -1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88140468 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.7899 and 4495.74608.\nAnswer: 4508.53598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**30*r*r**23 assuming r is positive.\nAnswer: r**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/820253 and -67\/3034?\nAnswer: 67260746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 54*u**2 + 27*u + 9. Let a be n(-4). Suppose -762 = 3*d - a. Let w be 2\/(-7) - (-102)\/14. Solve w = 2*f - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-5)*551\/(-4408)\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**7\/10080 - y**6\/720 + y**5\/160 - 3*y**4\/4 - 5*y. Let m(p) be the third derivative of q(p). What is o in m(o) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 - l + l**3 + 977*l**2 - 5*l**3 - 977*l**2 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let f(c) = 5*c**2 - 4*c - 4 - 4*c**2 + 9 - z*c**2. Determine f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-5))\/((1540\/5005)\/(30\/(-13)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from czczzziimikczmziii.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4683, -23, -6 in decreasing order.\nAnswer: 4683, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 26, 0.051, 3\/4 in decreasing order.\nAnswer: 26, 3\/4, 0.2, 0.051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3)*d)**(39\/5)*(d**2)**(18\/11))**(9\/4) assuming d is positive.\nAnswer: d**(-2241\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)*t)**(2\/15) assuming t is positive.\nAnswer: t**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 121. What is the nearest to 0 in -1\/7, t, -6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29380 < -29374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2\/551, 6, 1\/2?\nAnswer: 2\/551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 11:30 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 279 - 5*p**2 - 2823*p - 2818*p + 8454*p - 2812*p as w + c*p + f*p**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2448) - (sqrt(2448) + 2)) + sqrt(2448) + -4) + 4)**2.\nAnswer: -48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-23 - -42 - 30) + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5563 + 5628. Calculate the remainder when 1814 is divided by i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24836776 - 8763216. Let z be (-4)\/(-14) + a\/(-28). What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -2. Let l(o) = o**3 + 25*o**2 + 43*o - 22. List the prime factors of l(i).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h**3 - 3*h**2 - 3*h - 1. Let g(k) = -13*k**3 - 2*k**2 - 2*k. Determine 2*b(x) - 3*g(x).\nAnswer: 13*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 17*a**2 - 38*a - 39. Let o be q(15). Let d = 159 + o. Solve 22*w - 26*w + 16 = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 + 9*c)*(-12*c**2 - 16 + 16) + (-c**2 - 3*c**2 + 3*c**2)*(1 + c - 2*c - c) as m*c**2 + t*c + s*c**3 + k and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(30\/7))\/k**32 assuming k is positive.\nAnswer: k**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2126, 4144, 6136, 8090, 9994, 11836?\n\"Answer: -2*t**3 - t**2 + 2035*t + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33 + (-5)\/2 + 405\/54. Let i be (-1)\/(-3)*11 + u\/114. Solve 0 = i*m - 15 - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -51. What is the greatest common factor of l and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 7575?\nAnswer: 7575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*d - 1. Let z = 34 - 29. Suppose d*t = 9 - z. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -190. Let h = 116 - t. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(0 + 2 + 0)*(-u + 0*u + 0*u) + (-3*u + u + 4*u)*(4 + 0 + 1).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*t - 44 + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -l - l. Let c(w) = -24*w + 220. Let m be c(9). Suppose 3*u - r = 1440, l = -m*r - 7. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031591214 rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 5*j + 12.\nAnswer: (j - 6)*(j - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*x + 28*x + 21*x)*(x**3 - 4*x**2 + 4*x**2) - 2*x**4 - x**4 + x**4.\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiwwiiiiw. Give prob of sequence wi.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(-16)\/((q\/((q**(-1\/3)\/q)\/q*q))\/((q*(q\/(q**(-6)*q))\/q*q*q)\/q))*(q**2\/q)**(-45)\/((q\/q**1)\/q)**(-45) assuming q is positive.\nAnswer: q**(-1696\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 + 11.2.\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p**3 - 79*p**3 - 7*p**3.\nAnswer: -138*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -3*u**5\/20 + 69*u**4\/4 - 33*u**3 - 204*u**2 + 5*u + 3. Factor n(l).\nAnswer: -3*(l - 68)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = -0*r. Let p = r + -29. Let h = 8 - p. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -193.\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000 + 3142*m + 1000.\nAnswer: 3142*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15585 - 15668. Put 1.3, -4, t in decreasing order.\nAnswer: 1.3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 12 - 4*k - 15 + 4*k**2. Let u = 131 + -133. Let o(f) = -5*f**2 + 4*f + 4. What is u*o(c) - 3*g(c)?\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.2 (c) 0.04 (d) -423 (e) -3\/8 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -293551, -587019, -880487, -1173955?\n\"Answer: -293468*c - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120.947 + -121. Let n = i + 0.09. Let t = n + -0.03700073. Round t to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**10\/75600 + q**9\/60480 + q**8\/4032 + q**7\/2520 - q**5\/60 + 4*q**2. Let s(p) be the third derivative of z(p). Factor s(a).\nAnswer: -a*(a - 2)*(a + 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42962725321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9578 is divided by 9389.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Let f = v - 5. Is f less than or equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187425?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/3654 and 19\/877134?\nAnswer: 18419814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.45 and 0.4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-26)*8\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26271814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2a6 (base 11) to base 14\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 37894259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36170 and 660001224?\nAnswer: 7234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f - 5*u - 7 = 0, 4*f - 20 = -4*u. Let i = 52.37 + -0.37. Let x = -47 + i. Which is the nearest to f? (a) 0.1 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 l, and 1 a when four letters picked without replacement from lalg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o - 2. Suppose 13*y = -18 + 148. Give q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 6. Let q be d(0). Let x = q + 10. Let a be (-1)\/(-2) - (-2)\/x. Solve -a = -4*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) - (-26063)\/(-91). Let d = 287 + o. Suppose -2*t - 20 = 2*t - 3*u, -5*t - 5*u = -45. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3 + 27894*g**2 - 199227*g?\nAnswer: 18*g + 55788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**2 - 7*q + 6. Let m(r) = -2*r**2 + r - 1. Let t(i) = -l(i) - 5*m(i). Calculate t(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.9, -0.3, 0, -149, 0.16 in ascending order.\nAnswer: -149, -4\/7, -0.3, 0, 0.16, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = g + g. Let w = -35 + g. Let c = w - 14. Solve c*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.926351 - 0.1?\nAnswer: 2.826351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*u - 94 = -2*u, -2*p + 41 = 5*u. Suppose 0 = -39*w - 21*w + 29*w + 558. What is the lowest common multiple of w and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*s**2 + 3 - 4*s**3 + 3*s**3 + 16*s**2 + (-2*s + 2*s + s**2)*(2*s + 3*s - 7*s).\nAnswer: -3*s**3 + s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -30342?\nAnswer: 30350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/11? (a) 3 (b) -27 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343384?\nAnswer: 2, 7, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 1, q: 1, v: 2}. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40413 is divided by 40410.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4b58 (base 15) to base 14\nAnswer: -5bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4417 + 4419. Which is smaller: x or 720?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1053 (b) -2 (c) 1\/10 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*s**2 + 12*s**2 + 17*s**2 - 2*s**2 + 4 - 4 + s + 2*s**2 - s + (1 - s - 1)*(0*s - 2*s + s).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.104 + -42.104. Let y = -45058.9896 - -45101. Let b = y + m. What is b rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q - 1236 = 196*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157 + 38 - 601)*(-2*b**2 + 0*b**2 + 9*b**2).\nAnswer: -5040*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 8*i**2 + 8*i - 18. Let p be w(5). Let r = 71 + p. What are the prime factors of r?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77537218169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5745578 to the nearest integer?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -63. Let m(r) be the second derivative of 5\/6*r**3 + 3\/2*r**2 - r + 0. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 48. Let t(b) = 165*b - 821. Let o be t(5). Put v, 1, 5, o in decreasing order.\nAnswer: 5, o, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1176)\/(-9)*270\/12. Round g to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c**(-1)\/c)\/(c**(2\/7))**(8\/7) assuming c is positive.\nAnswer: c**(-407\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445709.\nAnswer: 113, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, -29, -8, -1, -5 in increasing order.\nAnswer: -132, -29, -8, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7886 + -7885.74322. What is i rounded to 3 dps?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by 3?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -341?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 43 = 3. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - a - 19 = 0, z = 5*z - 3*a - 25. Find the second derivative of 3*t**3 + 0*t - t + z*t wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 17.04. What is the smallest value in m, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from ekedywwweeww?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 1372, 4223, 9774, 18925?\nAnswer: 32576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {h: 1, i: 2, p: 2, j: 2, n: 5, u: 1}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17316263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + h + 14 = 0, h = -6*l + 4*l. Let d(k) = -2*k + 19. What is the remainder when d(8) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.031, -4\/3, -2\/9, 1025?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 240000 = 9*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = 5*h - 0*h, -3*u + 4*h + 20 = 0. Suppose -u*b = 8 - 0. Suppose 42*z = 26*z. Is b less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 166 = 82. Let p = a - 76. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + 14*c + 27. Give l(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 j, and 1 y when four letters picked without replacement from {y: 3, z: 6, j: 6}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00728009 rounded to five dps?\nAnswer: 0.00728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -27*l + 440. Suppose -2*i = -5*z + 512, -i - 380 = -5*z + 131. Let c = z - 25. What is the highest common factor of c and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145315 and 1249709?\nAnswer: 6248545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 67855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(9\/5)\/(w**6*w*w**(-1\/3)) assuming w is positive.\nAnswer: w**(-446\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1210133 (base 7) to base 3\nAnswer: 21210212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 2. Let v(b) = y*b - 6*b + 3*b. Let n(a) = -a. Give n(v(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 5*o - 5, -5*q = -310674*o + 310670*o - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let m(s) = -23 + 23 + a*s**2. Let w(g) be the third derivative of g**4\/3 - 4*g**2. Determine w(m(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000048252257 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -19?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 38. Let n(q) = 4*q**2 - q**2 - q**2. Determine b(n(d)).\nAnswer: 4*d**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*i + 4 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 8336772*n**3 + n - 52*n**2 + 8336774*n**3.\nAnswer: 2*n**3 - 52*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 2, l: 2}. Give prob of sequence wwy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 46, 47?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2996701 to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 4. Let l(a) = -59 - a + 58 + 2*a. Let m(q) = -12*l(q) + 3*v(q). Let h(t) = 2*t**2. Give h(m(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-4*sqrt(12)\/sqrt(4) + sqrt(3)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*s - 14. Put -5, 5, s in descending order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-126)\/117*47\/((-987)\/(-270)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 2. Give a(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 - (117\/18 - 7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = j. Suppose 12 = 3*r - p, -6*p = j*r - 2*p - 12. Sort r, -3, 0 in descending order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -32, -5, 12, 1 in decreasing order.\nAnswer: 12, 1, -5, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1 + (-10)\/(-3) + -2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 + 1 = -3*p, -3*p = 3*l - 9. Factor -4*o**4 - o**3 + o**3 + 0*o**4 - p*o**3.\nAnswer: -2*o**3*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(q - 4*q + 2*q) - 158*q + 132*q + 115*q)*(3 - 2 - 4).\nAnswer: -261*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v - 1. Suppose 3*d - 3*i = 9, -4*d + 5*i = -6 - 10. Let u(m) = -m**2 + m - 1. Calculate d*t(l) - u(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 7*o**2 - 5*o + 8. Let h be 1 - -2 - (-102)\/(-6). Let x = h + 16. What is the lowest common multiple of a(6) and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-6)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15727981.3920513 - 15729066.392. Let z = m + 1085. Round z to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/13452 and 77\/484272?\nAnswer: 484272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-19 + (10 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**3 - 3*t**2 - 3. Let a(v) = 36*v**3 - 104*v**2 + 219*v**3 - 220 + 116 + 25*v**3. What is -6*a(b) + 208*w(b)?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*s - 245880 - 210313 = 264187. Round s to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15122*q**2 - 7*q - 2267*q**2 - 11*q + 18*q.\nAnswer: -17389*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454109 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 0*o**3 + 8*o**3 + (4*o**3 - 6*o**3 + 3*o**3)*(1 + 2 - 1).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.77, -0.08, 7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 3, i: 2, t: 2}. What is prob of picking 2 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*r = 4, 3*q = -0*q + 3*r. Let b(f) = -3*f**q - 2*f**2 + 2*f**2 - f**2. Let c(v) be the first derivative of v**2\/2 - 1. What is c(b(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**2 - 718*l - 476.\nAnswer: -2*(l + 119)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 4*n - 1. Let s be f(-4). Let a(c) = -c**3 + c**2 + 2*c + 1. Let d be a(s). Is (-3)\/((-6)\/92) + d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 27220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462 + (-949065)\/2046 + (2\/3 - 1\/6).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -6653\nAnswer: -19959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 799163? (a) -2\/15 (b) -6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1 + 20\/(-12). Suppose 5*q + 75 = 3*t - 21, -3*q + 2*t - 58 = 0. Let h = 35\/2 + q. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 2\/71 (c) -1\/4 (d) 3 (e) -1323\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 12*t + 15. Let s be h(-13). What is v in -40 + 2*v**s + 40 - 2*v**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h + 405. Let i = -258 + 292. What is the remainder when h is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 0*j + 0 + 1\/24*j**4 - 4*j**2 - 2\/3*j**3. What is f(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88446.\nAnswer: 2, 3, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9))**(-37) assuming a is positive.\nAnswer: a**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f - 7*f + 7*f. Let u(a) = 2*a**2 + 3*a. Let c(m) = -4*m**2 - 5*m. Let j(l) = -3*c(l) - 5*u(l). What is y(j(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-37)\/2*2*-1. Let r be (-4)\/14 - (-180)\/(-7). Let d = r + x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -316, -2, 6, -4 in decreasing order.\nAnswer: 6, 5, 3, -2, -4, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -161, -317, -471, -623, -773?\n\"Answer: m**2 - 159*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*d**3*s**2 - 272*d**3 + 2*d**2*s - 135*d*s**2 - 12*d - 2*s wrt d?\nAnswer: -102*d*s**2 - 1632*d + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 - 3*l + 4. Let a be t(-4). Suppose -5*b + 21 + 154 = a. Suppose -2*h + 6 = -4. Calculate the greatest common divisor of h and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = -31. Let v = h + 8. Which is bigger: 1\/6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -23. Suppose -r + z = -5. Calculate the remainder when 42 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1408 and 20864?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9571 is divided by 114.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1392 and 30.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, -1\/12, 0.4 in increasing order.\nAnswer: -0.2, -1\/12, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7620 and 24264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 5. Suppose -11*a + 18 = -15. Does 5 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2. Let q(r) = 5*r**2 + 4*r - 4. Let v(d) = 10*d**2 + 7*d - 7. Let t(h) = 7*q(h) - 4*v(h). Determine t(s(g)).\nAnswer: -80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1361, 1328, 1277, 1208, 1121?\n\"Answer: -9*y**2 - 6*y + 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 5*f**2 + 25*f - 1. Determine c(-11).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 33*d**3 - d - 25*d**3 as s + p*d + i*d**2 + c*d**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (2 - -5))*2\/5. Suppose -4*x = d, -4*d - v*x = -d - 8. Suppose 3*p = -0*p, -d*p - 24 = 2*h. Which is bigger: h or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470390759?\nAnswer: 23279, 106121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:58 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*p = -44893 + 47435 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*t**3 - 273*t**3 + 1 - 4 + 3.\nAnswer: 82*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -30. What is the remainder when 23 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1649 - 20.\nAnswer: -1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 7. Suppose 2*a - 108 = 2*k, a - 10 = -3*k + 36. What is the remainder when a is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -41*w**3 - w**2 - 11*w - 11. Calculate the least common multiple of v(-1) and 375.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 663951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -501, -529, -549, -561?\n\"Answer: 4*c**2 - 40*c - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220211 - 1002212?\nAnswer: 10210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 6*u + 18. What is the units digit of z(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(1 - -2))\/2. Suppose -6*t + 36 = -m*t. Calculate the common denominator of -30*2\/((-84)\/t) and 127\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67351938233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 14. Suppose 2 + 8 = 5*t. Solve -4*p + 4*r + k = -t*p, -11 = -5*p + 2*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*z - 4 - 42*z + 4.\nAnswer: 65*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -345 - -197. Let p = s - -147.5. Let t be (-2 + 2)\/(-3) + 4. Put t, -0.2, p, 0.5 in decreasing order.\nAnswer: t, 0.5, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.238477 and 2417.2025.\nAnswer: 2417.440977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 10 = -5*y, 0 = -3*l + 2*y - 11. Let c(k) = -11*k**2 + 21*k - 1. Let h(r) = 13*r**2 - 22*r + 2. Let i(p) = l*c(p) - 6*h(p). Calculate i(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19205672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 28 = -4*s - 6, 0 = -2*s + 2*p + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 14. Let v be (3\/2)\/(103\/412). Determine h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 129.2873 and 5.\nAnswer: 134.2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287090120.\nAnswer: 2, 3, 5, 23, 79, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or 1774?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52713222 - 3?\nAnswer: 52713218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -6.6.\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 11852, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2736\/21 + 14\/(-49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*s**4 + 86*s**2.\nAnswer: -1224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -3065.3?\nAnswer: 3061.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 13*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 less than 837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + 28*x - 57. What is z(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 298205218212 and -2.2.\nAnswer: 298205218209.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 21?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -25*q**3 - 47*q**2 - 534*q + 582. Let y(t) = -46*t**3 - 94*t**2 - 1067*t + 1163. Let v(p) = 11*i(p) - 6*y(p). Solve v(k) = 0 for k.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let q(c) = 2*c**3 + 7*c + 2. Give 2*q(p) + 14*z(p).\nAnswer: 4*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123570221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 2 = 5*g. Suppose 0 = 3*q - g - 4. Suppose -5*m = -u, -2*u - 2 = q*m - 3*u. Solve 0 = 3*y + 11 + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 5*q)*(4*q - 2*q - q) - 3*q**2 + 5*q**2 + q**2 + (9*q**2 - q**2 + 67*q**2)*(-1 + 1 + 2).\nAnswer: 158*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 4 + 0*w**2 - 8 + w + w**2. Let u be a(0). Sort 2, -3, u in increasing order.\nAnswer: u, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 1245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 8*z**2 + 8*z + 2. Let t be h(-9). Let f be 2*1\/(-1 - -2). Suppose f*w - p - t = -w, -3*p = -2*w + 5. Solve 3 = -w*r + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/13 + (48 - (135 - 71) - (-550)\/13)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149993 is divided by 18563.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0*j**3 - 7*j + 1\/12*j**4 + 0*j**2 + 0 + 1\/7*j**7 + 0*j**5 + 0*j**6. What is the third derivative of x(v) wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:33 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11001101101100110?\nAnswer: 11001101101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 + 6*o**3 + 33*o**4 - 9*o**4 + 6*o**2 - 3*o**2 to t*o**2 + j*o**4 + r*o + f + y*o**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 17 = 2*z. Suppose -3*m = -2*d + z, 3*m + 10 = 4*d + 5*m. Let t be ((-10)\/4)\/((-2)\/d). Let a(g) = -g**2 + 5*g. Calculate a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -2.5. Let f = -9 - -9.1. Which is the nearest to 0? (a) h (b) 1\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 36 = -4. Let z = u - -62. Suppose 1 + 3 = 2*i, -i = -4*w + z. Calculate the greatest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 7*s**2 + 2*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -188.\nAnswer: 5\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1031 at most -395247\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13230)\/525)\/(27\/(-120)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12 - (-220)\/16. Suppose -5*v + z = -g, 5*v = -2*g + 6*g + 11. Solve 3*x - 12 - v = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/8 - 19*u**3\/6 - u**2 - 9. Calculate b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 1, a: 4, u: 1, p: 2}. What is prob of picking 1 v, 1 a, and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 395.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 42 - 27 - 659*i - 15 as g + t*i + q*i**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 0, 2*v - 49782 - 46190 = 4*c. What are the prime factors of v?\nAnswer: 2, 5, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34503890.\nAnswer: 2, 5, 157, 21977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2a5 (base 14) to base 11\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/38 and -6 + (7 - (-920)\/(-48)).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.076 + -0.212. Are -0.3 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*56\/70. Let g = 0 - 0. Let u = -0.009 - -0.309. Which is the closest to u? (a) v (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.605 + 0.195. Let h = -25 + d. Which is the closest to 0? (a) h (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9 - (-21 + 10 - -1)) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/4 + 308043*s**3\/2 + 31629547191*s**2\/4 - 15815235663*s + 7907694843 = 0?\nAnswer: -102682, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 + s + 2*s + 13*s**2 - 3*s wrt s.\nAnswer: 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4019830*u**3 + 9081*u + 440 wrt u?\nAnswer: -24118980*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 5 (d) -10 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + f - 1)*(-6*f**4 + 2*f**4 + 3*f**4 + (f**2 + 8*f - 8*f)*(2*f**2 - 1 + 1)).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.11, 3\/2 in descending order.\nAnswer: 3\/2, 0.11, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378716 - 195916. Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52327 is divided by 788.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67304 is divided by 233?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/14*49\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from ddgdbbddgdd?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vukj when four letters picked without replacement from {e: 1, k: 2, f: 2, u: 1, v: 1, j: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16 + 5*d**4 - 14 + 18*d**4 + 18*d**4 + 2*d**2 wrt d.\nAnswer: 984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1468*n + 872*n + 77220 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 3*w - 3 = -2*r, r + 5 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -7*i**6\/360 - i**3\/6 + 2*i. Let v(f) be the second derivative of r(f). Let u(p) = p**2 + p**2 - p**2. What is v(u(k))?\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:59 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 252, 377, 502, 627?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -19. Let l = -276 - -600. Does 2 divide 1 + (-12)\/u + l\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**23*o)**(-14)*o**(-10\/11)\/(o\/((o*(o**(-1)*o)\/o)\/o)*o) assuming o is positive.\nAnswer: o**(3191\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b**2 - b + 2. Let u be n(-2). Suppose -6*t + 2*t + u = 0. Let c = -46 - -76. Calculate the highest common factor of t and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (146 + -143)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7030.\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x**5)))\/x**(-3\/2))\/(x**(-2))**(-4) assuming x is positive.\nAnswer: sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyeykrwwe. What is prob of sequence ky?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**3\/3 + 240*o. Let j(d) = 25 - 11 + 17 + 14 - 2*d**2. Calculate a(j(y)).\nAnswer: -4*y**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3 + 33*s**2 - 251*s - 285 = 0.\nAnswer: -1, 15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(9\/(-6) + 2). Let z = -19 - -8. Let a = -8 - z. What is the second smallest value in j, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*c + 36 = -40, 4*c = 3*s - 104. Suppose 0 = -3*g + 3, -w - 5*g = -6*w + 125. Suppose w = -5*j + 6, 4*j = 4*z - s. Solve -z = -0*d + 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a - 3*a + (0 - 3 + 2)*(4*a - 3*a + 0*a) - 116*a + 528*a + a + (4*a - 2*a + 0*a)*(-3 + 2 + 0) - 2 + 6 - 3 + 4*a.\nAnswer: 412*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -8 + 6 - g**3 - 26*g + 55*g. Let b(q) = 9*q**2. What is b(x(a))?\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1348, -1346, -1344?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert c4c1ab (base 13) to base 12.\nAnswer: 1657b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22579763\/9 - 2512388. Let a = 3519 + n. Let t = 3941\/10 + -400. Find the common denominator of t and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 407*u + 13020. Calculate c(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 - 50*p + 50*p - 8*p**4 wrt p?\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 15) to base 10\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*s - s. Suppose 0 = 2*k - 4*k - s. Let b = 0.01 + -0.41. Put b, k, -1\/6 in decreasing order.\nAnswer: -1\/6, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*q + 45*q - 130 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4 - -0.4. Put 4\/9, -1, q in descending order.\nAnswer: 4\/9, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*a - a + 56 = 0, 3*a = -g + 28. Let i = g - 27. Solve -3*z + i + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let z(t) = -11492*t**2. Give b(z(h)).\nAnswer: -22984*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {p: 6, y: 2, t: 1, x: 2, a: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7008076 to the power of 1\/2, to the nearest integer?\nAnswer: 2647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -42. Suppose 4*n + 0*n - 5*k = 277, -b*k = 4*n - 227. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63307345403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.051 from 12.\nAnswer: 12.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 4)*(p + p + 0*p)*(-70 + 2*p**2 + 70) to k*p**3 + t*p**2 + x + a*p and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - 2 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 300213040 (base 5) to base 9\nAnswer: 2186431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**3 - 29*b - 28. Calculate the remainder when k(-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.32 + -4. Round w to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-7))\/w*w**(-3))\/(w**(-1\/7)\/(w**(5\/4)*w*w)) assuming w is positive.\nAnswer: w**(-157\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 3, u: 4, v: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -221122110110 (base 3) in base 9?\nAnswer: -848413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 55\/3027?\nAnswer: 55\/3027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -167\/15. What is the third biggest value in 5\/4, h, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1836 and 3468?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.03, -1, -16?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 10*q**2 + 12*q + 6. Determine z(-12).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4, 5*d = -5*m - 9 + 79. Let y = 3 + d. What are the prime factors of (24\/(-18))\/((-2)\/y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -7 - 6\/(-5)*(16120\/84)\/26.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 + 3 = 0. Suppose -2*j - a*h = -18, 3*j = 5*h - 0 - 5. Let c = 1 - 0. Calculate the least common multiple of c and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -210? (a) -0.1 (b) -1\/5 (c) -4096\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15288378?\nAnswer: 2, 3, 7, 137, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -198 - -991\/5. Determine i so that 4\/5 + n*i**2 + 4\/5*i = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-233)\/(-7) + 1 - 32\/112. Let p = 71 - 42. Let n = r + p. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4051 from 0.68.\nAnswer: -4050.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4188704 and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -102747 and -102744 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 3. Find the common denominator of 84\/198 + 2\/b and 1\/5*-37*65\/(-91).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 25. Suppose 2*j - 3*f + 2*f = h, 3*j - 2*f - 9 = 0. Suppose l - 8 = -j. Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 6, c: 1, n: 3, x: 3, e: 1, z: 5}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 254252212 (base 7) to base 16\nAnswer: f6a5e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -29. Let s be (8\/2)\/(f\/21). Solve 0 = -5*o - s - 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738657951 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.218 + -0.218. What is the closest to i in -0.5, -3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 5*t**4\/4 - 3*t**3\/2 + 4*t. Find the second derivative of v(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 11, -4, -34, 2, -27, -2 in descending order.\nAnswer: 84, 11, 2, -2, -4, -27, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*6*(-2)\/((-56)\/193). Which is greater: 164 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 6*a + 5. Let g be j(6). Suppose 5*z + 17 + g = w, 2*w + 2*z + 16 = 0. Let f be 2 + (3\/w - -2). Solve 0 = -s + 5, -s + 0 + f = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 2. Let l = u + -3. Let a = l + -6. Which is greater: -7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436752 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10 + 7*z - 10 - 6*z. Let f(p) = -16*p. Determine f(y(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -319363 (base 10) to base 5\nAnswer: -40204423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 3*k + 2*k + 3*b, k + b = -76. Let i = k + 120. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 6, 8, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzfzzzzzzzzz. Give prob of picking 2 f and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -11\/14?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 3*q + 1679 = 30*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 10*m - 9*m - 10 = 0, 0 = -4*m + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 5, g: 4, v: 1, l: 1, a: 1}. Give prob of sequence va.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 3161*u - 3158*u - 6 to w + l*u and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11350 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15889 + -11078. Is w a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggoeoeeeiggeeee. What is prob of picking 2 g and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 19 = -p, 3*p + 2*l + 80 = 27. Let w = 11 + p. Let c = w + 6. Solve -d - 4*y = -16, -5*d - y = -c*y + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoiommoooeoxlle. What is prob of picking 1 x and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from jjrrrjrjrrr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 15*w + 13. Let x(u) = 2*u**2 + 8*u - 7. Let b(y) = -3*v(y) - 5*x(y). Let s be b(4). Let d be (1\/(-3))\/((-3)\/9). Solve s*j = -j + d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(432\/(-180))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 + 9*g - 3. Give h(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-30))\/((-1)\/15). Let o = 7\/4 - m. Which is the closest to 0? (a) -0.4 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:53 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*n - 26, 4*q - 8 = 6*q - 2*n. Let f be ((-3)\/q + 0)*15. Suppose 2*y - 3 - f = 0. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174275, 697134, 1568555, 2788538?\nAnswer: 4357083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 32*q**2 + 190*q + 5. List the prime factors of z(-38).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x + 1\/6*x**4 + 1\/6*x**3 - 1\/12*x**5 - 7\/180*x**6 + 0 - x**2. Let a(j) be the first derivative of y(j). Factor a(p).\nAnswer: -2*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {j: 3, d: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + s + 7 = 0, m + 4*m - 5*s - 5 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - ((-58)\/3 - -2). Let u be (2\/(-8))\/(m\/(-2652)). What is the highest common divisor of u and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 21*v**2 + 34*v + 34. Let a be d(-17). Let u = a - 591. What is the remainder when 269 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 6*q - 3*q + q + 3*q - q + (-2*q - q + 4*q)*(2 - 5 + 2) to the form x*q + i and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5226617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*t**6 - 6*t**3 - 293*t**2.\nAnswer: 1200*t**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 + (-1 - 1 + 3)*(3 - 2 - 3))*(205 - 340 + 267)*(2*x**4 + 4*x**4 - 3*x**4).\nAnswer: -1188*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -86545*f**3 - 2*f + 1. Let j be q(1). Let n = j + 6546. What is n rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 8 + 17. Suppose 2*q - 5*k - 6 = 0, -m = -2*q - 3*k + 19. Solve -q = 47*b - 45*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p**4 - 542*p**3 - 3362*p**2 - 4432*p - 264 = 0. What is p?\nAnswer: -3, -2, -1\/16, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/12 + 5*w**3\/2 - 32*w**2 - 3*w + 1752. What is q(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -57. What is the second derivative of 4*f - 19*f**2 - 89*f + 69*f**d wrt f?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 0*n**4 - 7*n**4 + 13*n**2 - 13*n**2 + 2*n**4 - 2*n + 2*n**4 + 2*n + (2*n**2 - 2*n**2 - n**3)*(2*n - 3*n - n).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6875, 9263, 13261, 18875, 26111?\n\"Answer: p**3 + 799*p**2 - 16*p + 6091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 greater than or equal to 24821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = 13. Let f be (-2)\/(-5) + (-13)\/s. Solve 0 = -4*i + 5*i - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 939 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 6:33 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let l(g) = -8544*g**2. Calculate w(l(i)).\nAnswer: 72999936*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 1. Let b(l) = -5*l**3 + 7*l**2 - 2*l - 5. Let c(k) = -b(k) - 6*g(k). Give c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23583, 99524, 226093, 403290, 631115, 909568?\n\"Answer: 25314*w**2 - w - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 1)*(2 - 3 + 2)*(-1 + 1 + 2*k)*(4*k**2 - k**2 - 5*k**2).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, a: 10, l: 2}. Give prob of sequence aaal.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2) + (-6)\/(-3) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-8) - (1 + (5 - 13)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 and 34\/59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 + -262. Let q = 219 + i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 1301999545.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -103. Is 5 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18702.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 28 = -44 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = -12*q - c - 17944, -2*c = -3*q + 10758. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 6.913, 1, -0.1, -1\/4, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d. Let a(i) = 64494921*i**2. Determine a(c(k)).\nAnswer: 16510699776*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c**5\/15 - 2*c**4\/3 - 4*c**3\/3 - 4*c**2\/3 - 2*c\/3 + 28. Factor n(h).\nAnswer: -2*(h + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**5*z*(z*z**(-2\/3))\/z)**(2\/139) assuming z is positive.\nAnswer: z**(-22\/417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127925 is divided by 618.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220200221 + 1211?\nAnswer: 11220202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 20 = -5*g - c, 4*c = -g - 1. Let j(s) = 3*s**2 - 2*s + 6. Calculate the remainder when 214 is divided by j(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6 + 199*f + 2 - 14*f**2 - 192*f. Let h(a) = -14*a**2 + 8*a - 5. Let d(b) = -4*h(b) + 5*m(b). Let z(t) = 7*t**2 - t. Determine 2*d(j) + 5*z(j).\nAnswer: 7*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 166423*v + 66206 wrt v?\nAnswer: 166423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 1 t when three letters picked without replacement from {i: 2, v: 1, t: 1, l: 1, n: 2, z: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144933 is divided by 1438.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/858 and -91\/110.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 27 = -3*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 120*o - 115.\nAnswer: -5*(o - 23)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 17. Let p be j(-14). List the prime factors of (-4)\/(-2) + 1 + 748\/p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*t + 2*t. Suppose t = 4*i - 4. Calculate the smallest common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, d: 3, f: 4}. Give prob of picking 1 d and 3 f.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -43. Let x(n) = 2*n**2 - 21*n - 2. Let w be x(f). What is the tens digit of 4470\/36 + 1 + 14\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15827\/9 + -1753. Suppose -k - z = -1, 0 = 13*k - 10*k + 5*z + 1. Suppose b*h**4 + 56\/9*h + 16\/9 - 110\/9*h**k - 4\/3*h**2 = 0. What is h?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -14*(-2)\/4 + (259 - 24) and 198.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 + 3)) + (-40 - -40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-51) + 2\/42*37. Is -3 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793948 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -2212462?\nAnswer: 2212500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 1. Let t = -12.8 + 9. Let i = t - 1.2. What is the smallest value in i, 1, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*w**2*x + 119*l**3*w*x + l**2*w*x + 23*l*w**2*x wrt w.\nAnswer: 2*l**3*x + 46*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14246*u + 6954*u + 6023*u + 5063*u + 1762*u to v + t*u and give t.\nAnswer: 34048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129499772.\nAnswer: 2, 3, 29, 3245689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 48, 4, 9 in decreasing order.\nAnswer: 48, 9, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -231 + 34*o**3 + 231 - o**3 - 3*o**3 + 3*o**3 + (2 - 2*o**2 - 2)*(-1 + 1 + o) + 2*o**3 - 6*o**3 - 6*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 10 - 2*r + 55 to the form d + b*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104.932 - 105. Let d = t + 0.368. What is the second biggest value in d, 5, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.179 and 49.\nAnswer: 8.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7316 and 1159586?\nAnswer: 3658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:17 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3673, -6910, -10147, -13384, -16621?\nAnswer: -19858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*h + 4, 4*h + h = 4*k - 8. Let q(b) = -b + 104. Calculate the remainder when q(h) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995.016 grams in milligrams?\nAnswer: 3995016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 573, 1091, 1551, 1947, 2273, 2523?\n\"Answer: -v**3 - 23*v**2 + 594*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -504, -0.4, 3 in increasing order.\nAnswer: -504, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/3)*m**(-1\/6)\/m)**(8\/15)\/((((m**(2\/11)*m)\/m)\/(m*m**(-2\/15)))\/((m\/(m**4*m*m))\/((m*m\/(m*m**1))\/m))) assuming m is positive.\nAnswer: m**(-503\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 244799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2\/59, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 + 3 + 0*a**4 + 5*a**4 + (-2*a + 0*a + 0*a)*(0*a**3 - 6*a**3 + 3*a**3).\nAnswer: 7*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*x + 60*x + 42*x = -130 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + (-130)\/(-14))*21\/6 + 4. Let w(v) = v**2 - 7*v + 9. Let p be w(6). Which is the closest to -6? (a) p (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61147.\nAnswer: 47, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*30\/(-2). Suppose -r*p = -0*p. Suppose -3*c = -4*q - p*c + 37, -q + 22 = -5*c. Calculate the remainder when 12 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23745 is divided by 7914.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide ((-5)\/((-240)\/32))\/((-4)\/(-72606))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 5*m**2 - m - 5. Let o be a(-5). Suppose -b - 3 = 5*s, -4*s = -o*b - 5*b - 15. Put -5, 1, s, -0.07 in increasing order.\nAnswer: -5, -0.07, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137281 or -0.06865?\nAnswer: -0.06865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from illxiiiiixli. Give prob of sequence llii.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -1051*m**5\/20 - m**4\/6 + 313*m**3\/3 + 389*m. Find the third derivative of r(f) wrt f.\nAnswer: -6306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252401 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10989, -10656, -10323, -9990, -9657, -9324?\n\"Answer: 333*p - 11322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 11*f**2 - 26*f + 12. Let s be w(-12). Suppose 0 = 3*t + 5*x - 118, -5*t - 7*x + s = -2*x. Calculate the smallest common multiple of t and 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 97. Let s be f(0). Let d be (1384\/(-7))\/(-2) + -2. Let w = d + s. Which is the second biggest value? (a) w (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*y - 2, -4*y - 2 = -4*h + 2. Let d be -2*(-1 + y\/(-2)). Let s be -1*((-27)\/12)\/9. Is s bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/8621 and -149\/5923626.\nAnswer: 1380204858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-4))\/(2\/48). Let t(k) = 2*k**2 + 4*k + 6. Let g be t(-3). What is the greatest common factor of g and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -356810\/17 or -20989?\nAnswer: -356810\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7521, 20, -5, 3, 0 in decreasing order.\nAnswer: 7521, 20, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 671 = v - 221, -2*q = -2*v - 300. What is the remainder when q is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17784836.\nAnswer: 2, 19, 241, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*n + 6 - 19 = 0, -4*v - n + 11 = 0. Calculate the remainder when 57 is divided by -1*v\/9 + (-274)\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4790, 4846, 4938, 5066, 5230, 5430?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -19037.\nAnswer: -19032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 49*d + 32. Let a(k) = -198*k - 142. Calculate 4*a(u) + 18*q(u).\nAnswer: 90*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -5) + (1 - 0) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -35947?\nAnswer: -3594.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(17) - 3*(sqrt(85)\/sqrt(5) + sqrt(17)))**2 - -5*(sqrt(17) - sqrt(68))).\nAnswer: -5*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/12 - 5*o. Let s(p) = 6*p**2. What is s(d(x))?\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.65 times 38\nAnswer: -62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 22*j**2 - 37*j - 367. What is u(-23)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 69 + 3. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u**2 - 5*u + 17. What is the hundreds digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 - -321. Find the first derivative of j*l**4 - 209 - l**2 + 21*l**2 - 9*l**4 + 124 wrt l.\nAnswer: -16*l**3 + 40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) -1\/4 (c) -502 (d) -1516 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {b: 2, m: 3, d: 4, p: 3, i: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/222 + 149\/222. Suppose 0 = -2*b - 2*a + 10, -5*a + 1 = 2*b - 15. Let q = 5\/3 - b. Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**2 - 1 - 1\/3*t**3 + 0*t. Let h(d) be the third derivative of -d**4\/24 - 3*d**2. Determine s(h(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = p + 1, -5*k + 18 = p + 3. Suppose k*m - 6 = 10. Solve -m*h = 16 + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43793\/6 + 7299. Put -2, m, 0.3, -1, -397 in increasing order.\nAnswer: -397, -2, -1, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0. Let r be 4\/(-2)*z\/4. Suppose -3 + r = -j. Which is the nearest to 0.1? (a) 0.2 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(3 + (1 + sqrt(275) - sqrt(275)))**2 + ((sqrt(275) - ((sqrt(275) + sqrt(275)*-2 - sqrt(275)) + -3) - sqrt(275)) + 0 + -3)**2.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2726*s**4 + 6*s - 2222 wrt s?\nAnswer: 32712*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 + 37*m**2 - 2227*m + 24009. Calculate z(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/17 + 2946*d**2\/17 - 11808*d\/17 + 11816\/17 = 0.\nAnswer: -1477, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -59*j**3 - 78*j**2 - 5*j - 7. Let z(r) = 4*r**3 + 5*r**2 + 1. Let h(x) = m(x) + 15*z(x). Give h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 305, 546, 753, 908, 993, 990, 881?\n\"Answer: -3*w**3 + w**2 + 259*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:39 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6653 + 6655. Solve -k*g - 1 = h + 5, -g - 6 = -h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + (-6)\/(-14). What is the nearest to -1 in l, -6, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (433*u**2 + 2 - 861*u**2 + 186 + 423*u**2)*(-2 + 3 + 0).\nAnswer: -5*u**2 + 188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 8:07 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -13.791.\nAnswer: 2.7582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4238 from 10826.\nAnswer: 6588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Let y = -42 - -167\/4. Let q = -3505 - -3499. Sort q, w, -1\/3, y in descending order.\nAnswer: w, y, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 5. Suppose m = 3*b - 0*b. Suppose 2*z = p - 7, 4*p = -b*z - 2 + 19. Calculate the least common multiple of p and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 29. Let v(d) = -6. Let b(h) = 4*v(h) + x(h). Let u(i) = -2*i. Calculate b(u(a)).\nAnswer: 4*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526 - 692 + 716*v**2 - v - 442 wrt v.\nAnswer: 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 904\/18 + 8\/(-36). What is the greatest common divisor of 75 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 = 3*c - 23, 5*p = -2*c + 29. Suppose 0*t + 5*x + 11 = 3*t, 0 = 2*x + 2. Let n be (15 - 21)\/(3\/t). Sort c, -1\/5, n in ascending order.\nAnswer: n, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 33 + 57. Calculate the remainder when 71 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 16*a**2 + 771*a + 2309. What is d(-45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + (-115 - -12) + 84.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 at least as big as 122652\/379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7457 - -1?\nAnswer: -7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p - 869. Give u(-6).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 - 17*f + 21. Let r(z) = z**2 + 4*z - 5. Let l(b) = 2*d(b) + 9*r(b). Determine l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 699*x + 2*x**2 - 4*x**3 + 691*x - 7*x**3 - 2*x**2 in the form m*x**3 + g + l*x + t*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:12 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*g + 2, 4*g - 1 = -2*y + 3. Suppose y*b = 13*b - 3484. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 175\/180 + 6\/(-8). Let s = 13 + -16. Sort s, z, 3 in ascending order.\nAnswer: s, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2. Suppose -3*r + 30 = 3*i, 9*r - 4*r - 51 = -4*i. Suppose 0 = 3*n - r - 1. Let q(o) = -4*o + 11*o**2 + n*o + 0*o. Calculate q(z(v)).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/((sqrt(75) - sqrt(3)) + sqrt(3)) - -3*sqrt(5)*1 - (-3*(6*sqrt(5)*1 - sqrt(5)) + 4))**2.\nAnswer: -728*sqrt(5)\/5 + 8361\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -825912*g + 5335312 wrt g?\nAnswer: -825912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268882938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -18*j - 20. Let s(h) = -h + 3. Determine s(k(c)).\nAnswer: 18*c + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 14*h - 6. Let m(s) = 2*s**2 - 13*s + 5. Give 2*k(q) + 3*m(q).\nAnswer: 2*q**2 - 11*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3883896*o**3 - 2736898*o wrt o.\nAnswer: -23303376*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*c - 1777 - 126 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5235*h + 10456*h - 5242*h.\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1797 is divided by 1784?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -103*n**2 + n. Let v be z(1). Let i = v - -512\/5. Which is the closest to -1? (a) 3 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t**5 + 7\/6*t**3 - 32*t**2 + 0*t**4 + 0*t - 11\/120*t**6 + 0. Differentiate g(j) wrt j.\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7 + 4*h + 3*h + 2*h**2 - 7. What are the prime factors of f(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18312 - 0.6\nAnswer: -18312.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwwd when four letters picked without replacement from {f: 3, w: 5, x: 3, d: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 777 and 107374.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k + 44*k = 120. Calculate the highest common factor of 360 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 - 8*t + 1. Suppose 0*j = 10*j + 80. Let x be h(j). Let m be -1 + x*20\/5. Solve 0 = -m*v - v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 347*o**2 - 347*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -8951*w**6\/120 - 961*w**3\/6 - 9474*w**2. Find the first derivative of m(n) wrt n.\nAnswer: -26853*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -51. Suppose 5*a + 4*h + h - 30 = 0, y*a - 3*h = 0. Suppose -z - 290 = -3*z + a*d, 0 = -z - 5*d + 145. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 690 - 646. What is the remainder when q is divided by (2 + 18\/(-1))*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 4, -35, -4\/5, -3\/7.\nAnswer: -35, -3, -4\/5, -3\/7, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-12)\/(-2 - -4). What are the prime factors of 100\/(-15)*j\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -11*n + 20. Suppose -3*w = -5*p + p + 6, n*p + 3*w = 18. What is the greatest common factor of 21 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, i: 1, w: 1, l: 1, z: 3, g: 2}. Give prob of picking 1 w and 3 z.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 4. Let b be o(-6). Let x be b\/(-3) + (-232)\/(-3). What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:46 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/9)*u)\/(u\/((u**1\/u)\/u)))**(-37))**(-37\/5) assuming u is positive.\nAnswer: u**(2738\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 30 = -3*m. Let z(x) = -x**3 + 16*x + 15. Let r be z(-1). Solve r = -g - m*g - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4311 + 4306. Suppose 47 - 11 = -4*v. Let k be (v\/(-2))\/(1\/(-2)). Which is the second smallest value? (a) -0.5 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 195\/205 - ((-20)\/(-2) + 432068\/14924)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 15233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**2 - 34*v - 26*v**2 - 3*v + 47*v**2 + 49*v**2.\nAnswer: 89*v**2 - 37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3\/2 - 465*h**2\/2 - 4062*h - 7182 = 0.\nAnswer: -14, -2, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1298646 from 0.5.\nAnswer: 1298646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175104 - 230*a + 229*a + 175104.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*1)\/sqrt(6))**2 + 0)*3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 3352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g + 156 = -69*g. Let a(z) = z**3 + 8*z**2 + 8*z + 9. Let l be a(-7). Let c = -578 - -579. Sort g, l, c.\nAnswer: g, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1347*n + 13455. Calculate t(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1612\/(-28) - (11700\/(-420))\/(-65).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/7 - -39\/14. What is the nearest to r in -1, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 12*v**4 - 94905*v**3 + 1775409*v**2 - 1254456*v - 426060 = 0.\nAnswer: -1\/4, 1, 18, 7890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 18*d + 40. Let m be i(18). Is 41 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 78 = 14. Solve -l + 4*d + 8 = 2*d, -3*l - 4*d = -j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 17*a + 18. Determine o(-19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = -3*n - 518. Let m = n - 689. Round m to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 1, m: 3, b: 9, n: 4}. What is prob of sequence snbm?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007426 rounded to 6 decimal places?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7249 is divided by 2290?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4038*b**3 - 12*b**2 - 11741*b?\nAnswer: 24228*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202201010020 - 11?\nAnswer: 202201010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2963 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t - 36. Suppose -68 + 12 = 7*f. What is the remainder when m(f) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 15*t - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 21*n**4 + 677*n**3 - 111553*n**2 + 221178*n - 110235. Let g(i) = 2*i**4 + i**3 + 6*i - 1. Let a(b) = 22*g(b) - 2*j(b). Solve a(q) = 0 for q.\nAnswer: 1, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957*-0.4.\nAnswer: 382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -7*j**2 + 17*j - 508. Let b(h) be the first derivative of 5*h**2\/2 - 6*h + 4. Let u(l) = 8*b(l) + 3*d(l). Give u(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2 - 25153*m - 7293231?\nAnswer: 2*m - 25153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22 - 28*v**5 - 22 - 2*v + 3*v**5 wrt v.\nAnswer: -500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9472000 to the nearest 100000.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3552 - 4?\nAnswer: 3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 3. Suppose 2*a - q = 23. Calculate the greatest common factor of 27 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:00 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13443?\nAnswer: 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, 9, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 16*l + 21. Let q be b(-17). Suppose 0 = u - q*c, -5*c + 4*c = 2*u. Is u greater than -12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2*v**2 + d**2*v + 55*d**2 + 3*d*v**2 - 3*d*v - 64375*v**2 + 9*v - 34 wrt v?\nAnswer: 6*d**2 + 6*d - 128750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 583 + -65. Let f = -520 + q. Is f less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289134.\nAnswer: 2, 7, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vdddvdd.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*g - 8*g. Let l = -25 - g. What is the tens digit of 15\/1 - (-12 + l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 21*k + 132. Give c(9).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-395)\/(-405) + -1409 + 1408\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122707706*b**4 + 497973*b**2 + 428*b?\nAnswer: -2944984944*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 8 + 16 + -23?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. Suppose 2 - 4 = -a. Let r be (-4)\/224*8*1. What is the third smallest value in j, r, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/120 - a**5\/10 - a**4\/6 - a**3\/3 + 10*a**2. What is h(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (136 - 55 + 136)*(-2*n**2 - 3*n**2 + 2*n - 4*n) to g + l*n**2 + x*n and give x.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 99, 174, 255, 342, 435?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-42)*(t*t\/t**(-3))**(10\/17) assuming t is positive.\nAnswer: t**(764\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(1\/8)\/h)\/h)\/(h\/(h**(-1\/6)*h))*(h**1)**(2\/25)*(h**(1\/4)*h*h**(-1\/8))\/(h**(-2)\/(h**(-9)*h)) assuming h is positive.\nAnswer: h**(-1751\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132696 is divided by 1793.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 425267 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -26*l**2 - 2309*l - 37032. What is i(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -9 - (3 + 9)) + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 4:43 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 772517.9 decades in centuries?\nAnswer: 77251.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2515, 4, 1, -50 in descending order.\nAnswer: 4, 1, -50, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 36. Let d(f) = -6*f + 5. Let c be d(y). Which is smaller: c or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90033, 90060, 90085, 90108, 90129, 90148?\nAnswer: 90165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67995, -135988, -203981, -271974, -339967?\nAnswer: -407960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9280\/(-435)*(-27)\/(-12) - 2\/(4\/(-18))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39424.62 - 39423.2199995. Let a = g - 1.4. Round a to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = 10. Suppose -18 = u - n*u + 3*i, -5*i = -3*u + 66. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45273 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 + 9*v**2 - 39 + (-1 + v + 1)*(2*v - 3*v - v) - v**2 - 2 + 2 + (-3 + 3 - 2)*(-1 + v + 1)*(0*v - 2*v + 3*v) + (0*v + v + v)*(-18 - 15*v + 18).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:27 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + 0.22. Let r = 0.02 - d. Let x = -0.2 - r. Round x to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - 7*q**2 + 7*q**2 + (5*q - 3*q - q + 2*q**2)*(193*q + 1748 - 1748).\nAnswer: 388*q**3 + 193*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**4 - 8163912*v**3 + 13606542*v**2 - 2721312*v - 2721309 = 0.\nAnswer: -907103, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 250 - 250 + 22*d + (4 - 3 + 2)*(d - 2*d - 4*d) as m + v*d and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w. Let v(x) be the third derivative of 19*x**4\/8 + x**3\/2 + 66*x**2 - 5. What is r(v(d))?\nAnswer: 228*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 62172070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6213 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + -8. Let t(o) = -o**2 + o - 3. Let g be t(4). What is the remainder when 9 is divided by 3\/(c\/g)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from zpj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1011100010 (base 2) to base 11\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u + 32. Let h be (10 - 1)*(-8)\/(-12). Let p(f) = -f**2 + 7*f + 5. What is the remainder when r(0) is divided by p(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -10. Let f = -3 + k. Suppose -2*a - f*a = -8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21836592577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11*m = -15*m - 119, 4*a + m = 112. What is the first derivative of 74*v - a + 126 - 28 wrt v?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5285364g to micrograms.\nAnswer: 528536.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 10. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.8 + -14.2. What is the closest to -0.1 in -5, a, -12\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23868 in 7.4, -5, 0.4, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 15, 0*b - 2*r = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11947\/864 + -332\/27. Find the common denominator of 15\/94 and y.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/25, 181, -0.5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhoooooooohooohooo. What is prob of sequence ooh?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + z - 4 - 12 = 0, 4*z = -m - 12. Suppose 0 = m*t + 2*p + 64728, -5*t - 1799 = 2*p + 79113. Let l = t - -4984. Round l to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2681\/806 - -59\/31. Let v = -6966\/25 - -55203\/200. Calculate the common denominator of p and v.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**7\/210 - t**6\/90 + t**5\/30 + t**4\/6 + 5*t**3\/3 + 6. Let n(x) be the third derivative of y(x). Factor n(b).\nAnswer: -4*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14782 + -25939. What is i rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i + 1. Let m(c) = 34*c**2 + 18*c + 15. Let v(t) = 11*t**2 + 6*t + 5. Let n(y) = -2*m(y) + 7*v(y). What is n(x) - 6*u(x)?\nAnswer: 3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*c**2*m**2 + 2051*c**2 - 42*c*m - 74*m**2 wrt c.\nAnswer: -32*m**2 + 4102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:53 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g + 2*g)*(3 + 0 - 5) - g - 4 + 4 + (-2 + 6 - 2)*(-2*g - 3*g + 6*g) + 0*g - 3*g + 4*g - 4 + g + 4.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703 (base 10) in base 3?\nAnswer: 2100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/3, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20626429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 65, 102, 141?\n\"Answer: q**2 + 32*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -6*m + 1. Let r(z) = z**3 - 5*z**2 - 14*z + 3. Is r(m) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -53, -98, -177, -302, -485, -738, -1073?\n\"Answer: -2*h**3 + h**2 - 12*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 2. Let j be h*(1 + 23 + -1). Let r = j - 11. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46845 divided by 9369.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1003 + 1005. Solve 5*l + 4*v = 2*l + 1, 4*v = -2*l + t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/(-44)*1 - 5626\/(-8) is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 252, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -621\/16? (a) -3 (b) -1\/4 (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l + 5*l + 5 + 9. Let t(s) = -2*s - 5. Let r be 186\/12 - 3\/(-2). Suppose -4*i = -m + 20, 5*m + 4*i - r = 11. What is m*t(o) + 3*q(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - p = 66. Solve s = -p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 5 + -3 + (10 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 420\/(-2352)*(-7)\/(-20)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/37, 1\/3 in descending order.\nAnswer: 1\/3, 0.3, 1\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1904125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 8515713854849.\nAnswer: 8515713854849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 + 221 - (1 + -76)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 135\/4. Suppose x = 2*d + 2. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*sqrt(84)*-5*4)\/(2*sqrt(84)\/(sqrt(56)\/sqrt(8))))**2.\nAnswer: 437500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (585 - 579) + (0 - 13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5295*m - 126 = -5293*m + 6*d, 0 = m + 5*d + 103 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 18683*r**2 - 51. Let v(a) = -5338*a**2 + 15. Determine 17*v(u) + 5*x(u).\nAnswer: 2669*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953744.\nAnswer: 2, 11, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 48*n**3 - 60*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*v + 5 - 2, 3*r = 2*v - 13. Suppose p + 3 = -2. Let y be 3\/p + 0\/(-3). Which is the second biggest value? (a) r (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5688*t - 2829*t - 2859*t + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 25\/9 - 49\/9*i**4 + 62\/9*i + 8\/3*i**2 - 50\/9*i**3 - 4\/3*i**5 = 0.\nAnswer: -25\/12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -8, -1, 4, -107 in decreasing order.\nAnswer: 5, 4, 0, -1, -8, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20136 is divided by 1184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682015 is divided by 227220?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50058 - -224263. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 27 = -n, 69 = 2*n - 0*n - z. Suppose 0 = -14*w + 539 - 105. Suppose -n*x + 30 = -w*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r + 44. Calculate i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 2 (b) 4 (c) 3\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001235774474 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2408433 divided by 5\nAnswer: -2408433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 4. Let d be b(-9). Let m = d - 21. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piiptpiiiiipppppit. Give prob of picking 1 i and 1 p.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574 = 20*u - 434 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m**3 + 30 - 4*m - 33 - m**3 - 5*m**2. Give f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:15 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12*b + 243 = 313, -10 = -4*y + 3*b. Let k be ((-6)\/4)\/((-6)\/16). Solve k*w = 2*w + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffj when three letters picked without replacement from {j: 4, f: 8, q: 8}.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - -4 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*z = g - 13, 3*z - 11 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**7\/5040 + 31*a**6\/2880 - a**5\/32 + a**4\/6 + 11*a**3\/6 + 58*a - 2. Let c(r) be the third derivative of f(r). Factor c(o).\nAnswer: -(o - 15)*(2*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -988 and 0.4.\nAnswer: -987.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 252*f - 484. Is 80 a factor of w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 26. Let n(c) = 3*c - 4. Let k be n(7). What is the units digit of d(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 14411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105.\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 - -33220?\nAnswer: 31030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5*h = 0. Suppose h*w - 736 = -4*w. Is 12 a factor of -14*(4 - w\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-5) + 112\/(-15) and 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 6:38 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 520992472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 7 - 8. Let b be (f\/(-10))\/((-30)\/50). Which is smaller: b or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 13, -15\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnccccnncnccnccccnc. Give prob of sequence cn.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1)*-7*78\/728 + 22\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 149+-5872783902\nAnswer: -5872783753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 259572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.256 - -0.056. Which is the second biggest value? (a) 1\/2 (b) q (c) 6.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2, -3, -4 in decreasing order.\nAnswer: 3, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -13430?\nAnswer: -13422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (1 - 3 - 5) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 157*y**2 - 252*y + 8995. Determine i(-155).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211\/387 - -10\/43. Which is the smallest value? (a) -0.4 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 6:49 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 9, j: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 52\/(-14))\/(-2). Let r = 0 - -2. Let u be ((-1)\/5)\/(r\/8). Which is the biggest value? (a) k (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, g: 4, p: 3, u: 9}. What is prob of picking 1 u and 3 v?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**5 - 3566*v**3 + 111850*v**2 wrt v?\nAnswer: 180*v**2 - 21396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/20, 2\/27, -4, -7943, -3\/5?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 23. Let u be (3 + t\/(-5))\/(-2). Which is the biggest value? (a) 4 (b) -3\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17281 greater than -17281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(350) - sqrt(350))\/sqrt(7))\/(sqrt(50)\/(-3*sqrt(25)\/sqrt(5) + sqrt(5))).\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 351 = -4*m, -3*m = -0*j + j - 267. What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a + 97*a + 5325 = 1005 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219\/(13\/2 - (1 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146910 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -568\/7 + 2279\/28. What is the biggest value in -4\/7, 5, 2, -2\/7, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/4 + 427*z**3\/4 + 45195*z**2\/4 + 89113*z\/4 + 11086 = 0.\nAnswer: -241, -184, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 + -17 + -20*(-1)\/9. Let c(j) be the first derivative of 0*j + 1\/5*j**5 + 0*j**2 + 1\/12*j**4 + 1 - o*j**3. Factor c(t).\nAnswer: t**2*(t + 1)*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110010000 + -11?\nAnswer: -11110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/18 and -91\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450077179 is divided by 192.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Let n = o - -1. Let i = -4.6 + n. Which is the smallest value? (a) 0.5 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.25 + 2.4. Let k = y + -0.65. Let j(x) = x + 11. Let o be j(-6). Which is the second smallest value? (a) o (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-36) - (-26)\/12. Suppose -o*n + 18 = n. What is the greatest common factor of 66 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133262, -266380, -399494, -532604?\nAnswer: -665710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-6)*g\/(g*g\/((g\/g**(1\/9))\/g)*g))**(1\/73))**(-44))**(3\/2) assuming g is positive.\nAnswer: g**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -32*m**2 + 22*m - 12. What is x(4)?\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.70102 - -22.\nAnswer: 19.29898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -4 (b) -3\/7 (c) 1\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594528 and 108?\nAnswer: 5350752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1290\/851 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - s)*((0 + 3 - 2)*(0 + 3 - 1) - 2 + 1 - 1 - 1 - 1 + 1 - 3 + 6 - 4 + 2 - 1 + 1 - 1 - 13 - 9).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*d**5\/2 - 1518*d**4 + 27111*d**3\/2 + 21267*d**2 - 4182*d - 10380 = 0. Calculate d.\nAnswer: -346, -1, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476770 is divided by 2119.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**6 - 4047*i**4 + 61*i**2 + 42*i?\nAnswer: -600*i**3 - 97128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.82 (b) 0.06 (c) -0.2 (d) -35 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11324 (base 5) in base 16?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -4 - (7 - 21)) + -71 + 23.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/5)\/t*t*t*t\/(t**3*t)*t)\/(t**6*(t*t**(-1)*t)\/t))\/((t**0*t)**(-46)*t**(-3\/2)*(t\/t**2)\/t) assuming t is positive.\nAnswer: t**(417\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (-23 + 15)*18\/4 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4254 - -2?\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-25)*(424\/(-48) - -8)*-1. Let i be 2\/(3\/2 + -1). Which is the smallest value? (a) -0.1 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyvvtb. Give prob of picking 1 v and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) -0.2 (c) -5256 (d) 2\/317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-16)*(-8)\/(-114)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69 - 2\/(-3)*-3.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 7*h + 143 = 14*h + 30, 0 = 5*y + 3*h + 200 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:21 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -4, -121, -1, -68 in decreasing order.\nAnswer: 4, 2, -1, -4, -68, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -8*d, -2*z + 4*d - 4*d - 22 = 2*z + 2*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 at most -291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*75\/(-78) - 4\/26. Let m(i) = -46*i - 27. List the prime factors of m(p).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 103341610 to the nearest ten thousand.\nAnswer: 103340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 555544.53s in hours?\nAnswer: 154.317925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -219*t**2 + 2*t - 2016. Let z(y) = -y**2 + y + 58. Let k(x) = 2*v(x) - 2*z(x). Differentiate k(g) wrt g.\nAnswer: -872*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/3*((-2)\/(-5))\/1. Which is the second smallest value? (a) -2 (b) -0.3 (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -16 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 45. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 6*u - 2452 + 5*u.\nAnswer: -3*u - 2452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 16*p - 10. Let f be g(-12). What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**3 + 29542*y + y**2 - 29521*y + y**2)*(2*y**2 + 0*y**2 - 3*y**2).\nAnswer: -7*y**5 - 2*y**4 - 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**4 - 140*l**2 - 7022*l wrt l?\nAnswer: 108*l**2 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 4. Let m(o) be the third derivative of o**4\/6 - o**3 + 15*o**2 - 2. Calculate -5*m(h) + 7*t(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:06 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2270, -4558, -6866, -9194?\n\"Answer: -10*h**2 - 2258*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 0.9, 5, -0.2, -11 in descending order.\nAnswer: 92, 5, 0.9, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 8. Let f(t) = 2*t + 217 - 301 - 8*t. Let y be f(-14). Solve -2*w + a = -y*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*q - 160*q + 47031 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -295, 2, 1\/2, 5\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5294c (base 16) in base 2?\nAnswer: -1010010100101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008960848 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 33*v - 90. Let j(u) = -u**3 - 4*u + 1. What is j(v)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-1 - -1 - 1) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 40. Let c(q) = -q**3 + 4*q**2 + 7*q - 1. Let v be c(5). What are the prime factors of (-6)\/v*(p - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 147, 192, 237?\n\"Answer: 45*q + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*r**2 - 49*r**3 - 35*r**3 + 793*r**2.\nAnswer: -84*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.6 and -5096.8.\nAnswer: -5088.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2414659572 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69894 + 69894 + 3*n - 13*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 1125.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(640) - (1*(sqrt(640)*-4 + sqrt(640)) + sqrt(640) - sqrt(640))))\/(sqrt(54)\/sqrt(3) - sqrt(4)\/(sqrt(2)*3)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (544\/300)\/(1330\/(-175)) - (-2)\/19.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37974.\nAnswer: 2, 3, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = x - 0*t - 9, 0 = x - 2*t + 6. Let v be (x - 48\/(-21)) + -2. Let p(a) = -a + 7. Let f be p(6). Is v at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**5 - 9*j**5 - 2*j**5)*(-1 - 1 + 1) + (3*j**5 - j**5 + 5*j**5)*(-3 - 2 + 1).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 8. Let l be w(-4). Suppose 46 = 3*c - 74. Suppose -16 = l*d - c. Solve -2*p - 4*i = 0, -p + d*p - i = 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26014 + 26014 - 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppcpppppppkpppcp. Give prob of picking 2 c and 1 k.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -942 and 0.4.\nAnswer: -376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q + 954*q - 70224 = -600*q for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/20)\/((-39)\/2210).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 14. Let s be z(12). Let k(h) = 6*h + 1. Let l(p) = -p. Let c(d) = k(d) + 5*l(d). Let u = 13 - 8. Let t(a) = 3*a + 2. Determine s*t(f) + u*c(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2 - 232*v + 3364 = 0. Calculate v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**6 + j**4 - 3*j**2 - j - 1. Let f(o) = o**6 - o**4 - o**2 + o + 1. Let g(p) = 2*f(p) + 2*x(p). What is the third derivative of g(u) wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481433668?\nAnswer: 2, 271, 444127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13421 - 6537. Is z a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 35) + 50 - 53\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - u - 8, 0*u = 3*x - 2*u - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (88\/(-10))\/((-12)\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 - h**2 - 3*h**2. Let o(f) = -17*f. Let t(z) be the second derivative of 6*z**3 + 16*z. Let r(n) = -5*o(n) - 2*t(n). Give u(r(d)).\nAnswer: 507*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.933565 years in centuries?\nAnswer: 0.04933565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 266, 541, 816?\n\"Answer: 275*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*u + 155 = 39, 0 = -2*u + 4. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -21\/4*w**4 - 3*w**2 + 9*w**3 - 2 + 0*w. Factor u(r).\nAnswer: -3*r*(r - 1)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 15 = 6*z. Find the second derivative of -6*t**2 - 6*t**5 + 6*t**2 + 52*t + 13*t**z wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-5)*i)\/i*(i*i*i**(-1))\/i*(i**(-2\/3))**(5\/3) assuming i is positive.\nAnswer: i**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236895406?\nAnswer: 2, 11, 10767973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, 3, -89, -227?\n\"Answer: -23*g**2 + 23*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 51.4 + -5\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 2*s - 4*s**3)*(3 - 6 + 2) - 2*s**3 - 741*s**2 + 741*s**2 to the form v*s**2 + n*s + f*s**3 + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 4 (b) -29 (c) -5\/3 (d) 38259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 1293.\nAnswer: -14\/1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 + -54. Let d be (-2)\/(-1 + (-1)\/(-2)). Suppose d*f = 3*f + m. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.64 + 0.1. Let o = q - 0.45. Are 1\/2 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3059048?\nAnswer: 2, 17, 83, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62\/583 - -4\/53. Let d = -2.6 + 3. What is the second smallest value in d, k, -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477295974 to the power of 1\/2, to the nearest integer?\nAnswer: 38436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.0018 - 0.0018. Which is the closest to j? (a) -0.5 (b) -7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (13 - 7)*259510\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(11) - sqrt(11)*-1)*-1*1*-2)**2.\nAnswer: 6338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((181830\/513)\/(-55))\/(1 - 16\/18)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1457*-4\nAnswer: 5828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:49 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-13 - -31) + 4 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 - (221 + -44) - -42.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -836.\nAnswer: -167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0 (b) 3 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x**(-3))\/((x**(-5)\/x)\/(x\/(x*x**(2\/7)\/x))) assuming x is positive.\nAnswer: x**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 73986 = -22*f + 172494. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 + 189.9. Let n = -3.4 + t. Let r = 13 + n. Which is the third smallest value? (a) r (b) 1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 1)\/((-21)\/(-119)). Let z be (o + 25)*1\/(-2). Does 3 divide (-6)\/21 - 321\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2533 < 0.30893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.0448435 rounded to 2 decimal places?\nAnswer: -25.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*(-8)\/54. Let w = -7361\/2 + 3680. What is the closest to -0.1 in -5\/4, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28253576 and 5142?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 2606 + 1505 = 75*x - 694 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 1 o when three letters picked without replacement from lgcygltolgccltl.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2873*c - 4373*c + 442006 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 2*q - 3. Let a be f(1). Suppose a*w - 120 = -w. What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 15 (c) 2 (d) 0.5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 + 182*i + 68. Calculate w(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-35)\/15))\/(6\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -1 - sqrt(396))**2*-6 + sqrt(99)\/((sqrt(9) + sqrt(18)\/sqrt(2))*-3).\nAnswer: -6 - sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(-13332*a + 13332*a - 2471*a**3).\nAnswer: -7413*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 347840 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 9*l = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from wgww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/2))**5 assuming f is positive.\nAnswer: f**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766984284 to the power of 1\/2, to the nearest integer?\nAnswer: 42036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:22 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (2*sqrt(13))**2)*-6.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let d = 3 - a. Let t(w) = -5*w**3 - 4*w - 4. Let u be t(-1). What is the second smallest value in d, -2\/15, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/12 + u**3\/3 - 623*u**2 + u. Give l(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219 and 10300811?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*q - 301*q = -3*v - 3, 0 = 8*q - 5*v - 39 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3913486779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98643 (base 11) to base 8.\nAnswer: -427526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 4*s**3 + 5*s**3)*(-3*s - 2 + 2) + 17*s**3 + 8*s**4 - 17*s**3 + 0*s**4 + 2*s**4 - 30*s**2 + 32*s**2 + 8.\nAnswer: 4*s**4 + 2*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 156.8. Let m = u - 2.2. Which is the closest to m? (a) -0.01 (b) 2\/17 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + r = -10*h + 32 + 11, 5*h + 55 = r for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. What is the third derivative of 1 - 13*m**p - 1 + 1 - 14*m**2 - 7*m**4 wrt m?\nAnswer: -480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*o + 49, -61 = -4*h - 2*o + 1. What is the least common multiple of 10 and (h - -2) + 2 + -3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 28, 1.4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (104 + -121 - (2 + -5)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1634 - -1643. Solve -3*i = 3*d + f, -5*d - 4*i - 10 = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210020001001121 (base 3) in base 7?\nAnswer: 164604523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2. Let n(g) = -30*g**2. Determine j(n(s)).\nAnswer: 5400*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - -7 - 1 - (-2)\/(24\/(-141)). Factor 35\/4*x**3 - 5 - 75\/4*x**2 - h*x**4 + 65\/4*x.\nAnswer: -5*(x - 4)*(x - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 3. Let q(w) = -w - 3. Let i(o) = -6*b(o) - 5*q(o). Find the first derivative of i(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/24 and -49\/33447.\nAnswer: 267576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - 3.4. Suppose -2*t = 3*t + 15. Sort 4\/5, t, o in descending order.\nAnswer: 4\/5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.2 (b) -1\/15 (c) -2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 788536067909?\nAnswer: 788536067911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a decade in months?\nAnswer: 1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/5 (c) -297 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541813507.\nAnswer: 23, 3919, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(153)\/sqrt(9) + -5)**2 + (-2 + 1*sqrt(833) + sqrt(833) + sqrt(833))**2.\nAnswer: -64*sqrt(17) + 7417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2456 bigger than -2460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*3\/((-66)\/52)*102000\/663000?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h + 6*h**2 + 44 - 31 + 0*h**3 - 10*h**3. Let l(c) = -21*c**3 + 13*c**2 + 13*c + 27. Let x(s) = 13*a(s) - 6*l(s). Differentiate x(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*y = -56, 4*i = 17*y - 14*y - 34. Sort 4, 5, 0, i in decreasing order.\nAnswer: 5, 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2305932 and -13\/384322.\nAnswer: 2305932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 8*w + 13. Let n be z(6). Suppose 18 = 4*b + 3*s - n, 5*b + s = 21. Suppose -b*a - 120 = -0*a. Which is smaller: a or -29?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 5*a + 10. Let j be y(-7). Let d(l) = -5*l**3 + 7*l**2 + 8*l + 1. Let t(v) = v**3 - v**2 - v. Let m(q) = j*t(q) - d(q). What is m(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2411\/3370, -3, -1 in ascending order.\nAnswer: -3, -1, 2411\/3370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - f - 18 = 0, 81694*s = 81696*s + 4*f - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 813.42500008222 + 3\nAnswer: 816.42500008222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6842*k**2 - 13701*k + 7. What is h(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkvvk. What is prob of sequence kkv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9934 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 2*p**2 - 2*p**2 + (0*p + 3*p - 2*p)*(-4 - p + 4) + (3*p + 0*p - 4*p)*(2*p - p + p) + 37*p - 37*p + 25*p**2 as w*p**2 + o + n*p and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 323\/7 + -46. What is the smallest value in -0.05, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -170439, -171121, -171803, -172485, -173167, -173849?\n\"Answer: -682*p - 169757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z - 19\/2*z**2 + 8\/3*z**3 + 12. Let d(t) = 3*t**2 - 6*t. Let y(m) = 6*a(m) - 17*d(m). Factor y(w).\nAnswer: -3*w*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0*w**3 + 0*w**3)*(-w + 7*w + 0*w) - 2 - w**4 + 2.\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17464443 >= 17464441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 2. Let h(q) = -1. Let r(n) = g(n) - 2*h(n). What is the remainder when 16 is divided by r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2 = -6*h. Suppose -4*u + 39 = -u + 3*x, -5*x + 23 = h*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 - p - 3. Let r be m(-2). Suppose 2*x = 2*s + 32, -5*x - r + 83 = 3*s. Solve -3*t = 1 - x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-56) - ((-992)\/(-56) + -18). What is the smallest value in y, 45, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m. Let r = -106 - -122. Let b(x) = 2 - r*x**2 + 14*x**2 - 2. Calculate b(h(v)).\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303908 is divided by 25323?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3918, 7759, 11582, 15381, 19150?\nAnswer: 22883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 + 288. Let b be (-1156)\/q - (-20)\/12. Which is smaller: b or -381\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 divided by -5?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3012 - 3011.5. Let u = -6.7 + -0.3. Let x = u + 2. Which is the third biggest value? (a) n (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -15\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 9\/((-189)\/70) + (-2)\/12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12*w**2 - 521*w - 19. Calculate the remainder when o(-41) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/675)\/((-2)\/(-6)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2634 + 7900\/3. Is c < -531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*y**2 + 0*y + 6*y - 6*y in the form q + j*y + o*y**2 and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*j**4 + 28*j**2 wrt j.\nAnswer: -1008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, -243, 76, -1.\nAnswer: -243, -1, 0, 1, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 42*n + 2. Let g be l(4). Suppose 3 = -g*p + 169*p. Let u(b) = b - 1. Give u(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3679 - -3681. Solve 2*y + 2*y - x*p = 18, 2*p = 5*y - 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 24. Let q be o(21). Solve -12*a + 13*a - q*l = -5, 0 = -4*a - 3*l - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 22. Let l = 5378 + -5372. Solve p*a = 4*a - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 + 310*g**2 - 1266*g + 954 = 0. Calculate g.\nAnswer: -159, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -8, 71, -2, -1, 74 in increasing order.\nAnswer: -8, -2, -1, 12, 71, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(110) + (-3*sqrt(110) - sqrt(110))*-5)\/(sqrt(60)\/(sqrt(216) - sqrt(6)))*-4.\nAnswer: 2520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 15 + 2*r**2 + 3*r + 8 - 72 to the form q + f*r**2 + p*r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 38. Let i(n) = 10*n - 116. Calculate -5*i(j) + 16*w(j).\nAnswer: -2*j - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 7*g - 5. Let n be p(4). Let r(m) = 9 - n*m - 11*m - 4. Is r(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 54 = -3*x + 8, 4*x + 54 = v. Let n be (-106)\/(-14) + (-6)\/x. Calculate the greatest common factor of 72 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 114, 253, 448, 699, 1006?\n\"Answer: 28*q**2 - q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*j = 90*j + 15. Let s(u) = u**3 - 4*u**2 + 2*u - 3. Let z be s(4). Solve z*l = 10, -l + 6 = j*h + h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 209*l**3 + 121*l - 121. Let a(u) = -7*u**3 - 4*u + 4. Calculate 121*a(b) + 4*x(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 436572 divided by 9?\nAnswer: 48508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44578, -44570, -44562?\nAnswer: -44554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3778 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426 and 2058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24352 by 16.\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 16*l - 47 = 3*y - 3*l + 17*l, y + 10*l = 205 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1693 + -1632. Let u(a) = -8*a**3 - 4*a**2 - 3*a - 1. Let m be u(-2). Let s = o - m. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773?\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 + 0*u**4 + 3*u**4 + (1 + 2*u - 1)*(-u + u + 2*u**3) + 4*u**4 - 2*u**4 + u**4 + 104*u**4 + 88*u**4 + 37*u**4.\nAnswer: 234*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 367837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5 + 5*x**4 - 11630*x**3 - 57380*x**2 + 69000*x = 0 for x.\nAnswer: -46, -6, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/(-15))\/(4\/(-10)). Suppose p = s*p - 25. What is the remainder when 19 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 3*d**5\/20 - 101*d**4\/12 - 42*d**3 + 247*d**2 + 4*d. Differentiate w(l) wrt l.\nAnswer: 18*l - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64148425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 208?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + 15*f**2 - 25*f + 22. Give n(-8).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -1\/7 (c) -6429\/2972 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1066511 (base 8) to base 11.\nAnswer: -188a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 3 - 3 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224 + 265. What is the remainder when x is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.01, -0.5, -6, 39, 13\/22 in ascending order.\nAnswer: -6, -3, -0.5, 0.01, 13\/22, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -7, -2\/11, 10651 in increasing order.\nAnswer: -7, -2\/11, 2\/21, 10651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/5 - 2587*w**4\/5 - 93777*w**3\/5 - 1113866*w**2\/5 - 4080944*w\/5 + 1091328\/5 = 0. Calculate w.\nAnswer: -609, -16, -14, -8, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 2, s: 1, e: 1}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**2 + 6\/5*z**5 + 0*z**4 + 0*z - 23\/3*z**3 - 61 - 1\/3*z**6. What is the third derivative of q(j) wrt j?\nAnswer: -120*j**2 + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63902 is divided by 10625?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -162 + 706. What is the biggest value in -0.2, -0.4, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**3\/3 - 4*o - 12. Determine w(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -928 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1307\/(-1554) + 24\/16. Let h = t + 2\/259. Let v = -0.05 - 3.95. What is the nearest to h in v, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50024793, -50024792, -50024791, -50024790, -50024789?\nAnswer: -50024788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -682 - -22504\/33. Which is the second smallest value? (a) -0.1 (b) h (c) 3 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653 + 249 = -347*f + 162 + 475 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169040 is divided by 175?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-10)*1020\/(-24). Let a = 397 - s. Is -11 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*-4*3\/(-24). Let t(c) = c - 5. Let k be t(6). Let r = -0.01 - -5.01. What is the nearest to k in -1\/2, b, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-50)*320\/((-672)\/21)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + 11 = -5*h, -5*h = 5*f + 5. Let y be -5*h\/40 + 222\/8. Let i be ((-4)\/(-6))\/(y\/(-30) - -1). Solve 0 = 2*p + 3*p - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 176.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + (0 - -5 - 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spa when three letters picked without replacement from {a: 2, p: 2, s: 1, d: 1, v: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17410 and 30446?\nAnswer: 265032430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 0*f)*(3 - 3 + 1)*(-3*f - 4*f + 3*f)*(16*f + 17*f - 12*f)*(-f - 6*f + 2*f).\nAnswer: -840*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*h + 2953 = 107*h - 980 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7735+13922\nAnswer: 6187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from krkvkrkvrkv?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 557 = -142*p + 775 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 5. Let k = 0.2 - -0.3. Let p = -0.5 + 0. What is the nearest to r in 0.3, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 347327 by 20431.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**2 + 14*s + 19. Let v(q) = 11*q**2 - 10*q - 20. Calculate -6*r(a) - 5*v(a).\nAnswer: -a**2 - 34*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 1:32 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -77. Suppose -5*f = -y + 3, 0 = x*y + 2*f - f - 6. Suppose -y*o + 244 = 2*t, -o = -5*t + 174 + 453. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*c - 5 = -6*c, 5*h - 5*c = 50. Suppose 0 = 2*n + 5*j + 31, -3*n + 3*j - 15 = -0*n. Let v = n + h. Solve 3*f - 2 = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000054691 rounded to six dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99745957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1846 (c) -4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244 + 252. Let h(b) be the second derivative of -1\/3*b**4 - 4*b + w*b**2 + 0 - 7\/10*b**5 + 28\/3*b**3. Let h(a) = 0. Calculate a.\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -513 - 552. Let s = k - -1627. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19753 and -17.8?\nAnswer: -351603.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 76857419 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:08 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 5\/398197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-375)\/210*-4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = 7*w. Let f = 2663 - 2661. What is the second biggest value in 0.11, w, -5, f?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 7.5.\nAnswer: -7.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -218523408, -437046819, -655570234, -874093653, -1092617076, -1311140503?\n\"Answer: -2*w**2 - 218523405*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 7*g - 29. What is b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38583 and 810?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 79 = 4*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 25 + 8 + (4 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g + 28. Let d(u) = -u**2 - 9*u - 10. Let q be d(g). Suppose 0 = -0*c - 2*c + q. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 722 and 597455?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15473 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3700)\/(-16))\/(2\/64). Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:19 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1256 and -2.\nAnswer: -2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(2\/(-1))*(-3)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -5*q + 29. Let s(k) = -k - 9. Let i be s(-11). Suppose 4*w - q = i*w. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = -3*s, -r + 3*s - 9 = 0. Let o be 2 + (-3 - r*-2). Solve 0 = -o*a - 7 - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + p + 14 = 0, -3*h + 2*p - 18 = 5*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4558\/(-19504)*120 - (0 - 28).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let w(a) = -7*a + 1. Let r(d) = -l(d) - w(d). Let g = 323 + -302. Suppose -16 + g = 5*b. Determine r(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p\/(p\/(p\/(p\/(p\/(p**(-9)\/p))))))*p**(2\/25) assuming p is positive.\nAnswer: p**(-298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o - 126 = -54*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -551677 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkpnjpknnjpnnjnnjn. What is prob of picking 1 j and 1 k?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410494637.\nAnswer: 7, 229, 256079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + -5*(sqrt(175) - (sqrt(175)*-3 - sqrt(175))) + -1.\nAnswer: -125*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*n = 265*n + 21678. Do 1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*i + 37830 = 37800, 5*k = -3*i - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139.5 - -140.5. What is the nearest to r in 4\/7, 0.1, 2\/3, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 2. Let r = -34 - b. Let m(v) = v + 13. What are the prime factors of m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 107. Let m = -8 - -11. Solve z = r + r + 1, m*r + c = -4*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 17892 = -8*r - 18827 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-6 - (46 - 39))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, 0.04, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/41800 and 7\/332310.\nAnswer: 6646200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1546*c = 1626*c + 1120 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -6*r**3\/5 + 789844*r**2\/5 - 5265384*r\/5 + 3159216\/5 = 0.\nAnswer: 2\/3, 6, 131634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 56*j - 513. What is the remainder when 237 is divided by u(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (16 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 32*z - 30. Calculate the remainder when x(24) is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 50296?\nAnswer: 50294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 4*c**3 - 93 + 95 - 18*c**3 - 7*c**3.\nAnswer: -34*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 899558657*x**3 - 246785281 wrt x.\nAnswer: 2698675971*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/90 and 88\/375.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 5*w**5 + 4*w**5 + (9*w**3 - w**3 - 2*w**3)*(-w + 2 - 2)*(w - w + 2*w) + 1 - 3*w**5 - 1.\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*g = 4*y - 7, 5*y + 7 = 4*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -21*j + 142. What is o(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36204 (base 10) to base 11.\nAnswer: 25223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-84)\/294)\/((-12)\/(-21)). Put -5, d, -446 in decreasing order.\nAnswer: d, -5, -446","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {m: 1, j: 16, q: 1}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 - -304. Suppose -5*p - t + y = -4*t, 0 = -p + 4*t + 40. Suppose -v + p = 3*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22427791 to the power of 1\/2, to the nearest integer?\nAnswer: 4736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h*h\/(h**(2\/7)*h*h)*h)))**(2\/59)*((h*h**(3\/2)*h)\/h)**22 assuming h is positive.\nAnswer: h**(22739\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 5*q - 6448982 = -34884114. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i - 5*z - 16, 4*z = -4*i - 12. Let y be ((-54)\/10)\/3*-5. Let r be 9\/(-2)*(-6)\/y. Put i, r, 0 in increasing order.\nAnswer: 0, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3184 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 57 * -0.5\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -219764.8 less than or equal to -449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*10\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*z - z**2 - z**3 - 60*z + 189*z - 5 - 41*z in the form f*z**3 + l + v*z**2 + q*z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 1:20 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*y**2 + 276*y**2 - 1068*y**2 + 268*y**2 + 262*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -583, 3\/331, 2?\nAnswer: 3\/331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*d = 6, -81*d + 86*d = 2*y - 31 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 284*t**4 + 21001*t**3 - 119270*t**2 + 234076*t - 154568.\nAnswer: (t - 139)**2*(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 408809 - -77004. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -cc7ce?\nAnswer: -cc7d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12*26\/2028*(-6)\/(-4)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263130943 by -5.\nAnswer: -263130943\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 5*s + 1. Let p be (-1 - -3 - 2) + 20. Suppose -6*v - 2 + p = 0. Let n(h) = v*h - 4*h + 2*h. Calculate 3*n(r) - x(r).\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44406145 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 5 - (6 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 2*u. Let q(r) = 14*r**2 + 10*r - 4. Determine 6*b(t) - q(t).\nAnswer: -20*t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5)*(-3 - 5*j + 2 + 2*j).\nAnswer: 21*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 12) in base 3?\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 336*r - 329*r + 1350*r - 335*r - 320*r.\nAnswer: -r**2 + 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -266\/3. Let x(f) be the first derivative of 2\/5*f**5 - 1 + 1\/2*f**2 + 0*f - a*f**3 + 0*f**4 - 1\/6*f**6. What is d in x(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132501096 divided by -468.\nAnswer: -283122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44197159 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 1. Let f be m(1). Does 4 divide (f\/(-6))\/(1\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 32 = 2*r. Let w be 58\/(-8) - (-6)\/r. Let d be (40\/(-16))\/(2\/w). Calculate the greatest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*y - 40, y + 0*y = -5*s + 8. Let v(b) = -3*b**2 + b + 4. Let g be v(-4). Let k = -26 - g. Calculate the remainder when k is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -16*b + 14. Let d(p) = -8*p + 7. Let c(t) = 5*d(t) - 2*r(t). What is the derivative of c(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*m + 74, 4*m - 6*f + 3*f - 93 = 0. Let t be m*1*3\/(-6). Calculate the remainder when (-1 + -2 - t) + 0 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 5:18 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/((-4)\/((-12)\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.02 + 6.02. Let t = -0.036 - 4.964. What is the second biggest value in -8, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -11353.08?\nAnswer: -11353.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 3\/31, 1?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20 - i + 23 - 54. Give c(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.11345g to milligrams.\nAnswer: 56113.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 2, y: 1, e: 2, m: 2, f: 1}. What is prob of picking 1 f and 2 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4649855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*n**4 + 99*n**3 - 345*n**2 + 1475*n\/3 - 250.\nAnswer: -(n - 6)*(3*n - 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*m + 3*y - 8*y - 35 = 0, -35 = -8*m + 5*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -385*g + 303*g**3 + 18*g**4 + 170*g**5 - 155*g - 550*g**5 + 166*g**5 - 138*g**2 - 216 + 187*g**5 = 0. Calculate g.\nAnswer: -3, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -11*x**2\/2 + 71*x + 2407. Give s(11).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 2166, -949 in increasing order.\nAnswer: -949, 32, 2166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 6*h + 6*h + (-3*h + 4*h - 3*h)*(1 - 5 + 5) + 3*h - 5*h + h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1)**(-10\/7)*c**(-2\/5)*c**(-3\/8))**(1\/4))**39 assuming c is positive.\nAnswer: c**(-24063\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 12*k**2 + 10*k + 13. Let o be y(11). Suppose 3*q = -2*q - 15, -5*q = -o*g + 21. What is the nearest to 0.1 in -1\/3, -0.4, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 2\/15 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 153930839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 543*q**2\/2 - 811*q - 540.\nAnswer: -(q + 1)*(q + 2)*(q + 540)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.027 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -14, -1.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(1\/(-3) + 3). Let s(w) = w**3 - 9*w**2 + 10*w. Let d be s(q). What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8003 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218 + 224. Let f be -1 + t\/(-12)*-8. Factor 7\/3*i - 7\/3*i**2 - 2\/3 + 2\/3*i**f.\nAnswer: (i - 2)*(i - 1)*(2*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100, -217, -332, -445, -556, -665?\n\"Answer: w**2 - 120*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -632*m + 10102 + 628*m - 10249. Determine w(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.02 (b) 4 (c) -76 (d) -0.29 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:11 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.8 + -6. Let f = -4 + 6. Which is the smallest value? (a) z (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.2, 9, -0.2, 3\/13, 1\/3, -4476?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 60, 111, 190, 303, 456?\n\"Answer: c**3 + 5*c**2 + 7*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/30 - d**5\/20 - d**3\/2 + 824*d**2. Let h(l) = -3*l**3 + 2*l**2 + 2. What is 6*h(p) + 4*u(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/213800 and -97\/384840?\nAnswer: 1924200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 4:58 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j**2. Let x(z) = -4*z + 530. Give x(t(c)).\nAnswer: -60*c**2 + 530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 534463 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*s**3 + 59*s**3 - 48*s**3 + 19*s**3 + 14*s**3.\nAnswer: 166*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3332 (base 8) to base 9\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*r - 10. Let m(i) = -i**4 - 4*i**3 - 2. Let t(p) = p**4 + 5*p**3 + 3. Let f(c) = r*t(c) - 5*m(c). Find the first derivative of f(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 969452 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7416736 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*-6*336. Suppose 4*f - m = 1796. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40864, 81722, 122578, 163432, 204284?\n\"Answer: -d**2 + 40861*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f (base 16) in base 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-103)\/8755)\/(12*4\/(-50)). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -726975 by 1.\nAnswer: -726975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - -421. Let x = -596 + u. Solve -m + 2 = -x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Suppose k + 4 = 5*s - 5, w = -2*k + s - 18. What is the units digit of (-6)\/27 - 11\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/130 and -71\/9.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6460307 (base 8) in base 16?\nAnswer: 1a60c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180)*-2*6)\/(2*sqrt(490)*6).\nAnswer: -11*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - p - 1198 + 1176 = 0, -i + 4*p + 19 - 6 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 (base 9) in base 5?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 233590\/27 in ascending order.\nAnswer: -3, 5, 233590\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - w - 1. Let x = -5 - -7. Let y be u(x). Factor 6*a**2 - 3 + 2*a - 2*a**3 + 0 - y - 2*a**4.\nAnswer: -2*(a - 1)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-37 + 31) - 77?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15256 by -8.\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64755, 129431, 194107, 258783, 323459?\n\"Answer: 64676*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/6)\/(45\/(-6)*10\/(-30))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 66*h + 63. What is q(-2)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**6\/5 + 27*d**3\/2 + 87*d**2\/2 - d - 21. Let i(u) be the first derivative of m(u). Differentiate i(c) wrt c.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50785061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = -48. Does 20 divide (36\/(-30))\/(r\/200)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -142*t - 465. Let p(x) = -3. Let i(v) = m(v) + 6*p(v). Differentiate i(d) with respect to d.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/644398 and -77\/479552.\nAnswer: 20620736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 - 214 = 7*f. Which is the nearest to -7? (a) 1 (b) f (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1037 - 3?\nAnswer: -103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/5 - 570*h**2 + 45392*h\/5 - 136032\/5 = 0.\nAnswer: 4, 12, 2834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-25))\/(9\/((-27)\/42)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153066083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2285733 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(39\/12)*190\/2660.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163428 is divided by 32684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*x - 10, -3*g - 6 = 2*x + 4. Suppose g*t = -t. Solve 0 = -5*f - t + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -8. Suppose w*x = -x. Suppose x*f = f. Solve f = -2*k - 0*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 13*q + 28*q + 18*q - 15*q.\nAnswer: 44*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 4. Let a(f) = 1808. Let h(z) = a(z) + 452*u(z). Let c(p) = -p**2. What is h(c(d))?\nAnswer: 452*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, 0.3, -0.2, 1\/7 in decreasing order.\nAnswer: 0.3, 1\/7, -0.2, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w + 144. Let c be v(-16). Suppose 1687*j - 1685*j - 6772 = c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/31, -5, 0.04, 3\/5, -6, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c**2 + 10*c + 10. Let p(n) = 5*n**2 - 3*n - 3. Let w(a) = -3*l(a) - 10*p(a). Let o(b) = -3*b + 3*b + b**2. Give w(o(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + v - 6 + 5 = 0, -2*u = -4*v + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let k(j) be the third derivative of -j**7\/1260 - 19*j**5\/20 - j**4\/8 - 102*j**2. Let l(n) be the third derivative of k(n). Give p(l(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -27*m**2 - 5*m + 24. Let d(g) = -13*g**2 - 2*g + 10. What is -5*d(o) + 2*n(o)?\nAnswer: 11*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -114. Let q = 0.022 - -23.978. Let a = q - w. What is the second biggest value in 0.05, -4\/7, a?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*g**2*k - 76*g**2 - 3*g*k**2 + k**2 + 1 wrt k?\nAnswer: 23*g**2 - 6*g*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340*h + 15 = 1337*h + 3*m, -8*h = 5*m - 103. Determine t, given that 3\/2*t**3 - 6*t - h + 3\/2*t**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 3029 = -2933 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77472601 rounded to two decimal places?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1*(-121)\/726?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/429)\/((-8)\/(-12))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 38 = z, 4*z - 41 = 2*z + v. Suppose 3*l + m + 54 = 185, 2*l - 74 = 2*m. Let h be (-2)\/3*z\/l. Which is the closest to h? (a) 2\/7 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3111935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -13\/4 (b) 1\/6 (c) -1 (d) -4 (e) -0.4 (f) 2\/9 (g) 7.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15502 divided by -2?\nAnswer: 7751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-353)\/((-14473)\/984) + 20\/(-2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) - (-106)\/4. Find the common denominator of 33\/14 and (4 + (-49)\/12)*f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 1\/8*p**4 + 0*p**3 + 14*p**2 + 0*p + 0. Let b(d) be the second derivative of 2*d**3 - 7*d + 2. What is b(o(f))?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c + 12. Let r(x) = 5*x + 11. Let t(n) = -3*r(n) + 4*v(n). Let o(i) = 5*i + 8. Suppose -2*h - 18 = -5*h. What is h*t(q) - 11*o(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 3, 25, -1\/3, -4 in descending order.\nAnswer: 35, 25, 3, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:19 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:49 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t + 4. Let w(i) = -i**2 + 6*i + 5. Let m(s) = 5*a(s) - 4*w(s). Determine m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 5, 10 in ascending order.\nAnswer: 5, 10, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*s**2*t*v**4 + 2*s**2*t*v**2 + 19*s**2*t + 65*t*v**4 + v**4 + 4*v**2 wrt v.\nAnswer: 720*s**2*t*v + 1560*t*v + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/24 + 3*v**3\/2 - 11*v**2. Let a(r) = 2*r + 19. Let i(p) = 4*a(p) - 9*x(p). Give i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-5)*z)**(21\/2))**(2\/63))**42 assuming z is positive.\nAnswer: z**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -30*w**3 - 9063*w**2 - 113415*w + 46818 = 0.\nAnswer: -289, -27\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/900 and (-242)\/19800*5 + 0?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06787 and -630.\nAnswer: -42.7581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 10292 and 0.056.\nAnswer: 10292.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z + 656 = 5*z. What is the smallest common multiple of 22 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -s - 2*s - 104, 2*s = -4*i + 192. What is the remainder when 192 is divided by i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -2*o**7\/21 + 38*o**6\/15 + 4*o**5 + 1265*o. Solve m(j) = 0 for j.\nAnswer: -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8)**37*(y\/y**(1\/20))\/(y*y**4) assuming y is positive.\nAnswer: y**(5839\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/101 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(300) + sqrt(300))\/(2*sqrt(810) - sqrt(10)))\/(((sqrt(330)*-1)\/sqrt(11))\/(sqrt(245)*-1 - sqrt(245))).\nAnswer: -56*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(847) - (sqrt(847) + 2)) + -1 - (2 + sqrt(847))*-4))**2.\nAnswer: 440*sqrt(7) + 13577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = k, 5*q - 3*q - 9*q = -12*k - 2*k + 336 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331752394525447 + 0.3.\nAnswer: -331752394525446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (-23 - (8 + -60 + 11))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let c(s) = 2 + 4*s**2 + 2*s**3 - s**3 - k*s + 2. Let q(w) = -w**2 - 9*w - 23. Let f be q(-3). Give c(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c**3 + 3*c**2 - 9*c - 58. Let h(q) = 5*q**3 + q**2 - 4*q - 29. Let g(d) = -5*h(d) + 2*w(d). Find the second derivative of g(z) wrt z.\nAnswer: -6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 + 5*y**3 + 180 - 176*y - 180 + 3*y**3 to a + u*y**2 + k*y**3 + z*y and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - 90\/(-24). Suppose -3*m + 5*p = m - 52, -5*p - 20 = 0. Let c = m + k. What is the remainder when 23 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*2)\/sqrt(12) + sqrt(36)\/sqrt(3)*-3)\/(sqrt(400) + -4*sqrt(400)*5)*-1.\nAnswer: -sqrt(3)\/190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -28. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 888 = -69*w, 2*w + 5*o - 180 = -221 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 16 = 2*x, 8*g = 4*g - 16. Which is the third biggest value? (a) 1\/3 (b) x (c) 5\/3 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.65 + 4.35. Let q = 12 - 8. Let r = q - 5. Is u less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:07 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 = -2*j, -3*j - 14 - 19 = 2*n. Let a = 22 + j. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2157786 and 288.\nAnswer: 34524576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 + 0 = 0, -2*x - 91 = 5*q. Let o = -47 - x. Are o and 8\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17945468 to the power of 1\/2, to the nearest integer?\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*(-3)\/2. Let i be (2\/(-4) - 0)\/m. Let u be (-12)\/(-54) + 7\/9. Is u >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*t**2\/6 + 476344*t\/3 + 366430.\nAnswer: -(t - 73286)*(13*t + 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -2.9067.\nAnswer: 101.7345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -26 - 37. Let q = -4 - f. What is the greatest common factor of q and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 9*u = -612. Let k = -468 + u. Let n = 645 + k. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = l + 2*l. Let y(g) = -2*g**3 - 12*g**2 + 24*g + 76. Let d be y(-7). Let k be -9*(-1)\/(27\/d) + -2. Solve 16 = l*p - k*p - 5*q, -4*p - 3*q = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 1, v: 1, c: 1, e: 1, d: 2, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/646 and (155\/(-6))\/(87\/(-27) + 7) + 7.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21310839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 164 (b) 1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkyggykgkggg. What is prob of sequence kg?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*c**2*s**2 - c**2 + 2*c*s - 10*s**2 + 165*s wrt s?\nAnswer: 36*c**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 171, -131, 8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1698 and -11564786.6.\nAnswer: -11566484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 - 120 + 250 - 70*k)*(-3 + 1 + 0).\nAnswer: 140*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 9 = -15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4238388 divided by -18\nAnswer: 235466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 115 = 5*c, -5*c + 2*r = 6 - 96. Solve -l - c = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 41. Let m(z) = 3*z + y + z - 3*z. Is 8 a factor of m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2*o - 5, w + 3*o = -406 + 422 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -657.\nAnswer: -657, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69, -445, -1415, -3261, -6265, -10709, -16875, -25045?\n\"Answer: -47*p**3 - 15*p**2 - 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-1) - (-33)\/(-11). Let x(b) = -b**3 + 13*b**2 + 3. Let i be x(j). Suppose 18 = 2*t - 5*k, -t - i*k + 88 = 3*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2624 divided by -3.\nAnswer: -2624\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2116, -4217, -6304, -8371, -10412, -12421, -14392?\nAnswer: -16319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5976, -5985, -5994, -5997, -5988, -5961, -5910, -5829?\nAnswer: -5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -106 + 22. Let l be 4811\/51*r\/(-4). Is -141 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:25 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 + 760*a**2 - 54*a - 10746. What is k(-190)?\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3661*o + 26155 - 26155 in the form z*o + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -q - 6*m + m, q + 3*m = 558. Does 31 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5 - 4 - t + 2. Let o be s(-9). Solve 3*h + o = -7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j + 3*n, -2 = -5*n + 4*n. Let c be (1\/j)\/(8\/360). Suppose -45 = -c*f + 10*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3336116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 2115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -10.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67429024, -67429029, -67429034, -67429039, -67429044?\nAnswer: -67429049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 - 55*i - 1. Calculate h(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 + 6 = 0. Let b(u) = 13*u - 1. Let t be b(2). Calculate the greatest common factor of t and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -538, -1247, -2232, -3487, -5006, -6783, -8812?\nAnswer: -11087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/104 and 83\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545 + 553. Solve -t = -q*t - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 76*i + 7380. Let z be g(-95). Calculate the highest common factor of 3648 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 5*r + z - 3*z, 2*z = 6. Let n = -23 + r. Determine w, given that -14*w**2 + 2*w**n + 14*w - 2*w + 4*w**3 - 4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4424 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 23657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173\/(-19) - (-7 + 59 + -61) - (-42)\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790972 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-57))\/(3\/((-18)\/(-20)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -272 - -253.8. Let h = 22.2 + m. Which is the nearest to 2\/7? (a) -0.3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/24 + x**2. Let s be (183\/(-6) - -4) + (-2)\/4. Let j be (-2)\/(-6) + 90\/s. Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.215 - -8.829. Let h = 14 - r. Let y = h + 0.144. What is the second biggest value in 2\/3, -0.5, -12, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 2*p + 10*p)*(-p - p**3 + p) - 2*p**4 - 7*p**4 + 3*p**4 - 11*p**4.\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 + 2*m - 2. Let f(v) be the first derivative of -4*v**4 - v**3\/3 - 9*v**2\/2 + 9*v - 19. Determine -9*b(k) - 2*f(k).\nAnswer: -4*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlr when three letters picked without replacement from rxxxxsrsscscslsrssr.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxmpxxxixi. What is prob of sequence pi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 7*z**2 - 8*z + 6. Let r be s(5). List the prime factors of (-16)\/6*(-180)\/r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3 - -0.044?\nAnswer: 71.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 311, 643, 1089, 1643?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10040\/3899 + -2\/557. Let y be 4\/(-18) - 629108\/(-1008). Let x = 2523\/4 - y. Calculate the common denominator of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*c + 7*c - c)*(-119 + 55 - 215)*(c**2 + c - c) in the form w*c**3 + z*c + x*c**2 + m and give w.\nAnswer: 2511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r - 10 + 10 to the form m + d*r and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5 + 106*a**4 - 444*a**3 + 676*a**2 - 454*a + 114.\nAnswer: 2*(a - 1)**4*(a + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14490\/216 - (-4 - 98\/(-24)). Solve 17*y = -r - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*b + b + 3*g, 5*b = 4*g + 11. Let z = -5 + b. Let m = -28 - -32. What is the nearest to 1\/4 in m, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1. Let f be 1*4 + (-600)\/120. Let a(k) = k + 10. What is f*a(r) - 3*o(r)?\nAnswer: -r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -25*d**4\/6 + 2740*d**3\/3 - 150152*d**2\/3 = 0.\nAnswer: 0, 548\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:04 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -6774 and -717656.\nAnswer: -724430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1873\/114 + -43\/19. What is the common denominator of j and -17\/38?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 5 - 5)*(-4*b**2 - 4 + 4) + (-110*b**2 + 4370*b - 4370*b)*(-b - b + b).\nAnswer: 102*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 2*x**2 - 4*x. Suppose -5*p - 3 = -4*p. Let d be l(p). Suppose -d - 2 = -5*y. Solve 5*w = -y - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*v**3 - v**2 - 3 - v**2 + v**4 as r*v**3 + o*v**4 + l*v + s + w*v**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80566*21.\nAnswer: 1691886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 53*d + 110. Let p be n(-2). Let x(i) be the first derivative of i**3 - 1\/5*i**5 - i**2 + 4 + 0*i + 0*i**p. Factor x(k).\nAnswer: -k*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 21741.\nAnswer: -1739.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 801900.6ml?\nAnswer: 801.9006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -413, 7, -8, -1, 5 in descending order.\nAnswer: 7, 5, -1, -4, -8, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 14.05. Let j = c - 0.374. Let k = j + -0.076. What is the second smallest value in 5, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24273286 a multiple of 2514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3\/5 + 18*y**2 + 277*y\/5 + 186\/5 = 0.\nAnswer: -2, -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2518 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -4*t + 2*p - 6*p, 4*p = t + 70. Let u = -52 - t. Let j(s) = 9*s**3 + 2*s**2 + s - 6. What are the prime factors of j(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - 181.172.\nAnswer: -181.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 16. Suppose 461 = 2*l - 203. Suppose o - l + 3 = -4*a, 0 = 3*o + t*a - 1001. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 49?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3143846\/371 - -8474. Let i = p + -36019\/1484. Calculate the common denominator of i and -31\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 3, b: 1, k: 1, u: 12}. What is prob of sequence zbz?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 14. Let z be -1 + (-2)\/(r\/(-9)). Sort z, -3, 2 in descending order.\nAnswer: 2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w. Let c(v) = -3*v**2 + 3*v**3 + 1184*v - 2433*v + 1247*v. Give c(n) - 2*r(n).\nAnswer: 3*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94926016961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 3*c - 3. Let r be i(2). Is ((-106)\/(-8))\/(r\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.2 (c) -1\/3 (d) -669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 1926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 780766\/247 - 3161. Let p = 5687\/1482 + c. Find the common denominator of -7\/22 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 324*p + 59. Let l(w) = -81*w - 15. Let k = 17 + -15. Let c(n) = k*b(n) + 9*l(n). Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/(10\/(-15))*-5*624\/(-180).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*k + 17, 2*t - 6*k - 21 = -k. What is the units digit of (-9)\/t - 3\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -328 - 254. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) + sqrt(72)*1 + sqrt(18))\/sqrt(9) + sqrt(12)\/(-4*sqrt(96)))*-5)**2.\nAnswer: 99225\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/10 and -25\/2194?\nAnswer: 10970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15*j**2 - 14*j**2 - 10*j - 16 + 1. Calculate l(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301008 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 7. Let j be h(9). Find the second derivative of -j*i + 12*i**2 - 14*i**2 + 7*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + 2*sqrt(1872))**2*3 + 5 + (-5 + sqrt(1872)*1 + sqrt(1872) + 1)**2.\nAnswer: 1104*sqrt(13) + 30216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.092, -3\/7, -147, 2, -0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(0 - 1 - -1). Suppose 2*k - 9 + 3 = a. Find the second derivative of 3*p**4 + 6*p**4 + 6*p + 0*p**4 - k*p**4 wrt p.\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42484.9g in micrograms?\nAnswer: 42484900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3590\/3609 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305479453?\nAnswer: 157, 1945729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*w - 336*w - 112 = -648*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000111737949 to six decimal places.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4896*s**2 - 12549*s**2 - 6650*s**2.\nAnswer: -14303*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 - (-51 + 37 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66768 and 15408.\nAnswer: 200304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 256.92 + -257. Let x = 10.92 - p. Which is the nearest to -1? (a) 2\/5 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(-2)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*x + 102, 4*n - 73081*x + 73084*x = -104 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*x - 2*x + 0)*(4*x - 3*x - 2*x)*(x - 6*x - 4*x).\nAnswer: -18*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 733775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/30*56*((-3)\/4)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5928 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v**(1\/13)*v*v*v))\/v))\/(v**(1\/4)*v) assuming v is positive.\nAnswer: v**(147\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 16 (c) -4\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2783, -2781, -2779, -2777?\nAnswer: -2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30115841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -12071300 to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7567676, 15135334, 22702970, 30270584, 37838176, 45405746?\nAnswer: 52973294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 358*f**2*l**3 - 61*f**2*l**2 + 4*l**3 + 12892 wrt f?\nAnswer: 716*f*l**3 - 122*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7029032 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6775898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 2, 1, -113\/67, 0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 0*i - i - 2 = 11*s - 13, 8*s - 4*i = 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -7, 3\/5, -3, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 326, 318?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3627501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23305 (base 6) in base 12?\nAnswer: 1b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315785.\nAnswer: 3, 5, 87719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/30 and -157\/17149476.\nAnswer: 85747380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 345986*d - 2767911. Calculate w(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 10*p - 5. Suppose -3*d + 5*c = -25, 2*c = -d - d - 10. Let f = d + -9. Let r be s(f). Solve -r*i - 8 = 0, -5*i - 2 = 2*z - 2*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6397726 - 4417.\nAnswer: -4415.3602274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4.512 times -0.3\nAnswer: -1.3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 13*u - 712. What is the highest common divisor of u and 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*t + 198 - 390 + 194)*(-t**2 + 3*t + 17 - 3*t) to z + y*t + x*t**2 + w*t**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(180) + 4 + sqrt(180))*-4 + 0)**2*-4.\nAnswer: -762880 - 122880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n**2)*((3*n - 3*n - n)*(0 + 2*n + 0) - 2*n**2 + n**2 - n**2 + n**2 + 0*n**2 + 0*n**2) - 4*n**4 - 4*n**4 - 4*n**4.\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 3*x = 84. Find the common denominator of 85\/6 and (35 - 8)*1\/x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + (1 - 1) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-28)*4\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**3\/9 - 82184*m**2\/9 + 822740*m\/3 - 2057600 = 0?\nAnswer: -20576, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**5\/4 - 7*g**4\/3 - 13*g**3\/6 + 5*g**2 - 3*g - 8. Suppose z(u) = 0. Calculate u.\nAnswer: -5, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -1 (c) 2\/7 (d) -0.2 (e) 4\/9 (f) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b**3 - 17*b**2 - 12*b + 21. Let a(q) = 74*q**3 - 119*q**2 - 85*q + 149. Let m(d) = 2*a(d) - 15*z(d). Calculate m(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3428 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -2\/5 (c) 0 (d) -5 (e) 0.22782\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2406220*r**3*z**2 - 17*r**3*z - 2*r**3 + r*z**2 - 725*r*z - 23*r - z wrt z?\nAnswer: 4812440*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:58 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8816589*r + 8816675*r + 2150 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3665, -5, 245, 4.\nAnswer: -5, 4, 245, 3665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**8\/168 - i**6\/40 + 5*i**4\/6 + i**3 - 333*i**2. Find the second derivative of y(t) wrt t.\nAnswer: 40*t**3 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqxixxaj. Give prob of picking 2 x.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56 + 4)*(-2)\/4. What is the greatest common factor of r and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 2 + 0*i - 11 + 2*i.\nAnswer: -2*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4365, 3685, 3005, 2325, 1645, 965?\n\"Answer: -680*g + 5045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10 = -8*r + 5*h, -4*h + 7 = r. Suppose -3*u + 18 = -3*m, -2*m - 2*u = -r*u + 10. Put 4, -2, m in increasing order.\nAnswer: m, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22331332013 (base 4) to base 5.\nAnswer: 1214002041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in 0.1, 1\/6, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669*v + 1354*v + 392*v + 2 + 8*v.\nAnswer: 2423*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22938767, -22938765, -22938763, -22938761, -22938759?\n\"Answer: 2*f - 22938769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10655*n**2 + 6932*n**2 - 11870*n**2.\nAnswer: -15593*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4.67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 6, 1, -3 in increasing order.\nAnswer: -3, 1, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 173033989 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Let y(t) = -2*t + 4. Let g be y(0). Solve g*o = -o + n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 319 = 33*p + x, 4*x + 137 = p. What are the prime factors of p?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**4\/24 - v**3\/6 - 2281*v**2. Let s(j) = 25*j**3 + 6*j + 6. Give -6*l(o) - s(o).\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.4 - -0.4. Let v = -0.67 + -0.13. Let n = 0.5 + v. Which is the closest to 2? (a) x (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -324334 + -55?\nAnswer: -324422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + (-648)\/(-144). Suppose 34*a**3 - 4*a**b - 6*a**4 - 24*a - 32*a**2 + 32*a = 0. What is a?\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 15*j**2 + 17*j**2.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 170 + 45. Let z = 86 + -76. What is the highest common factor of z and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1801312 by -450328.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24748403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**3 + l**2)*(3 - 3 - 1) + 513*l**3 - 525*l**3 + 381*l**3.\nAnswer: 367*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 6, -2, 1, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by ((-258)\/33)\/(17\/(-187)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - r**2 - r - 1. Let i be y(-1). Suppose p + 1 = i*p. Put -2, -1, p in increasing order.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o - 10. Let q(l) = 3*l**3 + 16 - 13 - o*l**2 - 5*l**3. Let r be q(-3). What is the highest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1\/40 (b) 2.6 (c) 7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37288199 divided by 2868323\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 1\/12 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49492455 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 189. Let q be t(-34). Let p be 1\/(-2)*(q + 54992\/(-2896)). Let l be 2 + (-2 + 4 - 3). Is p smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -78*l**3 + 5*l**2 - 5*l + 2. Let g(x) = x**3 + x**2 - x. Calculate -5*g(b) + m(b).\nAnswer: -83*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 89. Let z = c + -90. Let r = z + 53. What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.476 + -0.085. Let a = g + -0.39100438. Round a to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 403656179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/4)*u\/u**(5\/4) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1799 + -572. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**3\/6 - h**2\/2 - h. Let s be (-12)\/(-26) - (31 + (-1380)\/52). Let p(x) = 6*x + 5. Determine s*c(o) - p(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaagaag. Give prob of picking 1 g and 1 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-44)\/12 + 4)*48. Let l = 1 - -7. Let d(k) = 2*k**2 - 7*k + 8. Let g be d(l). What is the highest common divisor of g and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u + 2*z + 6 = 0, -4*z + 6 = -u. Suppose 21 = -4*a - 19. Let f be (-1)\/(-4)*u*a. Put f, 0, -1 in descending order.\nAnswer: f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 113211335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 6. Let o be s(7). Suppose 3*b + v = 2*b - o, 2*v = -b - 4. Solve 9 = -b*q + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.161 and -0.04203.\nAnswer: -0.00676683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 3*h + 4. Let x(i) = i**2 - 6*i - 1. Let o be x(7). Let g(w) = -8*w + 1. Let z be g(-1). Let t = o - z. Determine k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 6*v - v, -3*x + 4 = 5*v. Suppose v*z - 7*z - 168 = -4*g, 5*g - 210 = -z. Calculate the common denominator of g and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let g be r(1). Suppose -2*f = 5*x + f + 166, -5*x = -f + 158. What is the units digit of ((-6)\/12)\/(g\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135904012 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 52, -3, -0.4, 3?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((22 - 23) + (-6)\/(-3))\/((-4)\/(-52))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five twelths of a year?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1396043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.8223 centimeters in nanometers?\nAnswer: 5998223000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 13*o - 71. Suppose o = w + 1. Suppose -p + 3*p = 5*x, -w*x + 1 = -p. What is the lowest common multiple of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 19 - (-1 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -13 (c) 14 (d) 2\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.03, 1\/2, -0.3, 207 in descending order.\nAnswer: 207, 1\/2, 0.4, 0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*s + 6634 = -472*s + 397 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2881 + 2876 - (0 + 35).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 379920 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 32533479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b**3 - b**2 - 2*b - 3. Let m(x) = -5*x**3 + x + 1. Let q(s) = 4*g(s) + 7*m(s). Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 1012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -48, -3960.\nAnswer: -3960, -48, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 51.2 times -1.03\nAnswer: -52.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 745824413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99, -118, -137, -156?\n\"Answer: -19*i - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.034 (b) 551 (c) -0.153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w - 1. Let l(c) = c + 14. Let x be l(-12). Calculate u(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c**3 + 12*c**3 - 64*c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-8))\/((-4)\/(-24)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 + -33. Let i = -180.3 + l. Let d = -18 - i. Is d != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 15 = -17 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 1432385371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 6. Let s be h(2). Let p(x) be the first derivative of x**2\/2 - 9*x - 1. Give p(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520792298?\nAnswer: 2, 13, 83, 373, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 254*g + 8. Let m(b) = 12*b**3 + b**2 + b. Let x be m(-1). Let u be (21\/x)\/((-1)\/(-4)). Let p be h(u). Round p to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382000 plus -5?\nAnswer: -382005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**2. Let z(x) = 22*x. Give z(c(p)).\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = d - 50. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 42 = -5*k - 2*p, -p = 2*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Let p = -404 - -404. Suppose p = y + h*y. Put -1, 9, y in descending order.\nAnswer: 9, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33856 - -33679. What is the closest to p in -3, 0.5, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.8207 and -0.1?\nAnswer: -0.38207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 51*o + 198. What is the remainder when 315 is divided by q(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. What is the fourth smallest value in 3, 2\/9, -0.4, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:34 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39256, 78504, 117752?\nAnswer: 157000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/(-33060)*1194\/(-8) - (-11)\/110\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 64.3. Suppose -3*w = 2*d + 2*w + 30, -2*w - 33 = 5*d. What is the closest to -1 in j, d, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 + 13*i + 13. Let q = 11 - 2. Let w(b) = -3*b + 0*b**2 + 0 + 2 - 5 - b**2. Calculate q*w(k) + 2*l(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 14. Suppose -4*g = -3*o + 188, 0*g + p*o - 94 = 2*g. Let f = 79 + g. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**3 + k**2)*(k**2 - k**2 - 2*k**2) - k**5 + 0*k + 0*k - 388 + 388 + 22*k**5 + 0*k**4 + 3*k**5 + k**4 + k**4.\nAnswer: 18*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-21)\/18 - -1). Let g(a) = 2*a. List the prime factors of g(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -18*j + 0*j**2 + 0 - 1\/2*j**3. Let s be m(-6). Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 9) in base 6?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + -1.97. Let y = -3 - j. Let w = 5.01838 - 0.01838. Which is the closest to 0.1? (a) y (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 10*g - 30. Let a be h(-13). Let c be (3 - 0)\/6*(a - -5). Let j(w) = w**2 - 6*w - 4. What is j(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 5, x: 1, u: 1, t: 7}. Give prob of picking 2 k and 1 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 times 1?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 + 10*d - 72. What are the prime factors of w(9)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11988611537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 741, 1405, 2053, 2679, 3277, 3841, 4365, 4843?\n\"Answer: -g**3 - 2*g**2 + 677*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13788*d + 7995*d - 74822*d.\nAnswer: -80615*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - (19 + (-20 - 26) + -4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294819597 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110455*r**2 - 2*r + 96275.\nAnswer: -220910*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0798 + -0.1028. Which is smaller: -10 or d?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12871355 and -1.\nAnswer: 12871355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 0.28. Which is the smallest value? (a) -2\/9 (b) 0.4 (c) 0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:46 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316 + -297. Differentiate 6*w**2 - m*w - 130 - 5*w**2 - 15 with respect to w.\nAnswer: 2*w - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 1. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*(w*w*w*w\/((w\/(w\/(w\/((w**0*w*w)\/w)))*w)\/w)*w)\/w)\/w)\/w*w**(-6))\/((w*w**(-3)*w)\/(w*((w\/w**5)\/w)\/w)))**(-40) assuming w is positive.\nAnswer: w**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1110, -1055 in increasing order.\nAnswer: -1110, -1055, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278.9 - 278.8998193. Round h to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*u + 8, -16 = -0*u - 4*u. Let a(o) = o**2 + 3*o + 3. Calculate a(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*r = -0*r - 20, 3*r + 15 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 3*u - 1663301 + 5*u.\nAnswer: -3*u - 1663301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*z + 132340500 = -490*z. Round z to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.1 + 20. Which is the third biggest value? (a) 3 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 511.531018 - 414.52\nAnswer: 97.011018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000252 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -76*q - 14762. Determine d(-191).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 564 = 0. What is the remainder when h is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(1\/6))))\/(w*w*w\/(w*w\/(w\/w**(6\/11))*w))*((w**0\/w)\/w)\/(w**(-6)*w)*(w*w**(-2\/15)*w**1)\/(w**1*w)**(3\/25) assuming w is positive.\nAnswer: w**(2753\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -4\/3 (b) -11 (c) -1\/10 (d) -384\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-4 + 5 + 1)*(-53*r + 67*r - 41*r) + 2*r - 5*r + 2*r - r + 3*r - r + (2*r + 0 + 0)*(-1 - 4 + 3).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27651754?\nAnswer: 2, 13, 1063529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12774232, 12774216, 12774174, 12774094, 12773964, 12773772, 12773506?\n\"Answer: -2*a**3 - a**2 + a + 12774234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240123 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -2*g**5\/35 + g**4\/7 + 2*g**3\/7 - 8. Factor n(a).\nAnswer: -2*a**2*(a - 3)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d**2 - 210405*d + 42080 = 0. Calculate d.\nAnswer: 1\/5, 8416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 31. Suppose -3*d - 12 = 3*h, 15 = -5*h - 10. What is the highest common divisor of r and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + r = 3, 13*r + 25 = 8*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 0.05\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8757*h. Let f(v) = -25179 + 12592 + 12587 + 2*v. Give w(f(y)).\nAnswer: -17514*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 30*f - 70. What is h(-18)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 - 10*w - 33. Let h be s(-3). Let u = h - -42. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5*x + 2. Let h be g(3). Let t = -20 + 142\/7. Which is the nearest to 0? (a) h (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:01 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - v - 3*v)*(-3254 - 1810 - 489 - 211 - 56).\nAnswer: -5820*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1432403 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -583\/6 + 96. Let j = r + 103\/78. What is the biggest value in j, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9684\/(-3766))\/(2\/(-301)). What is the greatest common factor of 261 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934069 to the power of 1\/2, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 - 2 = 3*f, -2*f = 4*k - 28. Suppose 0 = 282*m + 5963 - 25703. Calculate the remainder when m is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179.7 + -179. Let h be 2233\/(-28) + 5 - 6\/(-8). Let l = 71 + h. Which is the biggest value? (a) d (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0 + -1 - 6). Let a(y) = y + 4. Let p be a(h). Suppose 0 = 5*i - 4*t + 12, -2*t = 3*i - 3*t + 10. What is the second smallest value in p, i, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31314201.\nAnswer: 3, 23, 41, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27 - -2.50382290887.\nAnswer: 2.23382290887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5976, 11957, 17938, 23919, 29900?\nAnswer: 35881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 7 + 23 = 0. Suppose 5*i - y = 6. Let s be 6\/(2 - (2 + -2)). Put -5, s, i in ascending order.\nAnswer: -5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/7 + 98250*r**2\/7 + 96939957*r - 2135857506372\/7 = 0. Calculate r.\nAnswer: -17533, 2316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93214*c**5 - 4*c**4 + 2016192*c wrt c.\nAnswer: -1864280*c**3 - 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, -898, 43, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 4*q + 482 = 494, u + 46 = -20*q - 16*q + 41*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 666 + 0*c - 3*c - 336 - 326 + 4*c. Give z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180146.09 rounded to the nearest 10?\nAnswer: 180150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798262849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4516976 to the nearest integer?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(5\/11))\/(v*v**7*v*v)*(v*v\/v**(9\/7))**(-2\/49))**(4\/7) assuming v is positive.\nAnswer: v**(-143128\/26411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.59 + 23.\nAnswer: 24.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -13373201 at least -13373202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 1 v when three letters picked without replacement from vyhvyn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 10. Let z(c) = 23*c + 62. Let s(j) = 11*j + 31. Let x(t) = 7*s(t) - 4*z(t). Let n(m) = 7*g(m) - 2*x(m). What are the prime factors of n(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 0.05 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48015, 96025, 144025, 192015, 239995, 287965?\nAnswer: 335925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 3 + 1 - d**3 + 20 - 2 + d**2. Is r(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -4*t - 2*a, 20 = -4*a. Suppose -5*x + t*j - j + 110 = 0, -5*x + 3*j = -105. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-136360)\/(-552) - (-6)\/(-207) and 4.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 262974 and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 20*n**4 + 25*n**4 - 64*n**4 + 17*n**4 - 687*n**2 to o*n**2 + h*n**3 + r*n**4 + w + b*n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.09 - 0.29. Let p = -2.2 + 2.6. Let g = s - p. What is g rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/30 and -19\/881586.\nAnswer: 4407930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6119 - -8461. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21000367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73449478.\nAnswer: 2, 19, 31, 62351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from ddfcgtgqcgcfgqfcqt.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10107 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(7 - 323). Let b = m + 313. Suppose -l = -6*l + b. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37871983.\nAnswer: 2371, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 12) to base 10.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14c - -52b?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 3. What is s(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11110110011101 (base 2) to base 10\nAnswer: 15773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let l(z) = 10*z**4 + 5*z**2 + 20. Let d(c) = l(c) - 5*w(c). What is the derivative of d(b) wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 2*s**2 - 7*s - 1040. Let t(k) = 3*k**3 + 5*k**2 + 17*k + 2083. Determine -2*t(n) - 5*z(n).\nAnswer: -n**3 + n + 1034","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*j**3 + 108*j**3 + 16*j**3 + 43*j**2 - 43*j**2 + 24*j**3 + j**3 - 2*j**3 + 2*j**3 + (1 - 2*j - 1)*(-4 + 2*j**2 + 4).\nAnswer: 123*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.96 + 36. Let s = 3.5 + t. Round s to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 5, i: 12, m: 2}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6428*v**2 - v + 5. Let r(k) = -95*k. What is r(t(c))?\nAnswer: 610660*c**2 + 95*c - 475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-850)\/20))\/((-4)\/5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, u: 16}. Give prob of picking 4 e.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 6. Let o(a) = 2*a**3 + 17*a**2 + 6*a - 19. Let x be o(-8). Sort u, 3, 1, x in descending order.\nAnswer: 3, 1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 2 + 0*g**6 + 1\/3*g**4 - 1\/28*g**8 - 2*g**3 + 0*g**7 - g + 0*g**2 - 1\/10*g**5. Find the third derivative of w(t) wrt t.\nAnswer: -240*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/204429 and 77\/5595?\nAnswer: 381260085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 192, 181, 170, 159?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + i - 18*i = 66, -42*i - 14 = 2*f - 20*i - 18*i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2212102101?\nAnswer: 2212102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) 67 (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*g = -94, l - 56 + 14 = 5*g. What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30777 (base 10) to base 6.\nAnswer: 354253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 193*i**2. Let u(b) = 4*b. Determine u(h(t)).\nAnswer: 772*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2. Let o(v) = -3 - 3 + 6 + 2*v. Determine x(o(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -1\/4*w**4 - 3*w - 70 - w**2 - 4\/3*w**3. Suppose -k - 4*s + 13 = 1, -s + 20 = -4*k. Give i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Let d be 2 - (-1 + 2 + z). Is 1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = 3*y + 74, 3*y - 13*t + 17*t = -34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 102. Let z be ((-3)\/(-2))\/(w\/(-32)). Suppose 2*h - 5*h + 12 = 0. Calculate the highest common divisor of z and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100100010000010011 (base 2) in base 10?\nAnswer: 1459219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38, -1475, 0.08, 2?\nAnswer: -1475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 8. Let r be k(3). Suppose -b + 2 + 93 = r*p, 4*b = -4*p + 392. What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8)*-1)\/(-10*(-6)\/(-240))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*m + 4)*(5 - 4 + 1)*(2*m**2 - 3*m**2 - m**2)*(-1 - m + 1).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.94 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6123 + -2026715\/331. Is 1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1060 and (1230\/861)\/(1\/84).\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -109652, -108242, -105890, -102596, -98360?\n\"Answer: 471*m**2 - 3*m - 110120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33728 take away -0.1?\nAnswer: -33727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122474 is divided by 213?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let y = 3 + -3.2. Let v = 2.3 + 0.7. Which is the nearest to y? (a) -1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -69.4. What is the second smallest value in 0.5, i, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 + 4 + -4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287946*f**3 + 1645*f**2 + 718*f.\nAnswer: -1727676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z - 30*z + 10*z**3 + 0*z**3 + 39*z + 6*z**3 - 6*z.\nAnswer: 16*z**3 - 52*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29988\/861084*(-6)\/(-14).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32717, 32720, 32723?\n\"Answer: 3*r + 32714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let c = n + 0. What is the closest to c in 0.4, 0, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 17 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 394326 and -1929.7.\nAnswer: 392396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/20 and ((-11)\/(-10))\/((-83796)\/210).\nAnswer: 139660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -237*n**3*v**3 - 8*n**3*v**2 - n*v wrt v.\nAnswer: -1422*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211148226.\nAnswer: 2, 3, 11730457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 4 + a + 43*a**2 - 38*a**2 to the form s*a + b*a**2 + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -357*h + 3835 + 6161. Let b(s) be the second derivative of 3\/5*s**6 - 7\/2*s**2 + 0*s**5 + 0*s**3 + h*s + 0 + 0*s**4. Differentiate b(n) wrt n.\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -1, 3 in descending order.\nAnswer: 116, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 - y**3 - 1 - 2*y**3 - 3*y**3 - 4*y**3 - 2*y**3 + (-3*y + 2*y - 4*y)*(-y + y + y**2).\nAnswer: -12*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20523\/434 - 175\/31. Let m = 18833\/462 - w. Let h = -5\/11 + m. What is the second smallest value in -0.5, h, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**3 - m - 7*m**3 + m.\nAnswer: -34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 145\/45) + (-12)\/(-297)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48213 is divided by 168.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g - 4. Let f(b) = b + 1. Let y(u) = -3*f(u) + i(u). Determine y(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k. Let f be g(-1). Let n(m) = -14*m + 312. Let h be n(22). Factor 9\/4*r**3 - 1 + h*r - 21\/4*r**f.\nAnswer: (r - 1)*(3*r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27659, 20616, 13573, 6530?\n\"Answer: -7043*g + 34702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) + 2*sqrt(132))*-2 + sqrt(132) - sqrt(132))\/(sqrt(12)*2*-3)*4.\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78385190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 8717 = 11270 for p.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102 * -62642.\nAnswer: 6389484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1083882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*b - 303*b = -148*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12236708 and 27419.\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5 = -4*u + 8*u, 5 = -j - 2*u. Which is the closest to 8? (a) j (b) 4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 4. Let l(n) = n**2 + 9*n - 14. Let c be l(-10). Let k(q) = 3*q + 9. Let x be k(c). Determine b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = n + 3*n + 339, -3*n - 261 = -3*d. Which is smaller: n or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2332 by -1166.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 4*g + 744 = -35*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 2*p - 2. Let k be a(-2). Let t = 11 + -24. Let m(u) = -u. Let j(n) = -2*n. Calculate k*j(i) + t*m(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.11 - 1.71. Let g = 105 - 56. Let f = z - g. Which is the third biggest value? (a) -2\/3 (b) 1\/3 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 3876553.\nAnswer: 3876553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20\/(-8) + -3 + 3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*r**2 - 2*r + 429?\nAnswer: -68*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t + 18*t - 8*t + (5 - 5 + 5)*(12 - 27 - 35)*(t + t - t) in the form p*t + u and give p.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*i + 31 = 3*i, 15 = -3*i. Let x = 27 + u. What is the remainder when 8 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26953 divided by 1?\nAnswer: 26953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-27)\/(-90) + 4594\/20 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 1 n when three letters picked without replacement from {d: 1, r: 1, n: 2, g: 2, u: 4, p: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -33. Suppose -g + l = -0*g. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.3 and -44106.397?\nAnswer: 44098.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*a + 21*a + 96 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/10 + 2093\/65. Let q be (-22)\/(-8) + 8\/i. Suppose -7*m + q*m = -48. Solve -f = -4*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-2\/3)*x)\/x)\/x**(-5))\/(x*x\/(x\/x**(-6\/5))*x\/((x\/(x**(-5)*x))\/x)*x))\/(x*x*x**8*x\/x**12)**(5\/4) assuming x is positive.\nAnswer: x**(527\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1437569354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-110) + ((-70)\/22)\/(-1). Solve 4*u = y*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*p - 7. Let f be 3\/p*2*-1. Suppose -l + f*l = 1. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**3 - 3*z + 6. Let w(g) = 17*g**3 - 5*g + 13. What is 13*b(r) - 6*w(r)?\nAnswer: 2*r**3 - 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m - 19*m = 129 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797, 795, 793?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 - -101110100001101?\nAnswer: 101110101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-12)*(1 + 15\/(-18)). Which is the smallest value? (a) -2 (b) -1\/4 (c) x (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 54*g - 369 = -1576 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 18*k + 48. Which is the closest to k? (a) 3 (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 1 - -75 - 19 - 109.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 11:42 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(7\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 16*t - 3*t + 4*t + 0*t - 2*t + (2 - 3 - 1)*(-2*t + 0 + 0) + t - 2*t + 3*t + 2 - t - 2 - 19*t - 5*t - 14*t)*(4 - 6 + 0) to z*t + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 4. Let t be v(11). Suppose 5*s = -t + 5. Is -211*((-2 - s) + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 173*s + 4190. What is u(29)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7546536 and 8952?\nAnswer: 7546536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 1, z: 3, y: 1, n: 2}. What is prob of sequence tny?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 492576.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -785.\nAnswer: 81\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128153, 128161, 128169, 128177, 128185, 128193?\nAnswer: 128201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from {r: 5, d: 1, s: 2, k: 1, o: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1581644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 2, s: 4}. What is prob of sequence stt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/12 - 2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 103\/(2 + -5 + 2). Let z = -55 - k. Suppose -5*w - z = -8*w + 3*t, -4*t - 50 = -3*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttwtwwttwtztttrcz. Give prob of sequence wr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8969132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 84.04765 centuries?\nAnswer: 100857.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2. Suppose 13*b + 36 + 81 = 0. Let q(u) = 77*u**2 + 9*u - 34. Let f(j) = 39*j**2 + 4*j - 15. Let o(l) = b*f(l) + 4*q(l). Calculate o(w(c)).\nAnswer: -172*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 - 5*y**4\/3 - y**3\/2 - 4*y**2 - 5*y. Calculate the remainder when r(-20) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(360)\/sqrt(2) + -2)*2.\nAnswer: -4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -915\/32026 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -227, -341, -455, -569?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.440774 hours in microseconds?\nAnswer: 23186786400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101899\/9815 - -135\/13. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299739.\nAnswer: 3, 11, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = l + 2*m - 41, -4*l = 4*m - 104. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 11}. What is prob of sequence bsb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2268 + -1595. Suppose 0 = r + 3*y - q, r + y = -0*r + 683. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = -46*m - 27. Let y(o) = 3*o**2 + 5*o - 8. Let t(a) = 2*a**2 + 3*a - 4. Determine m*y(g) + 5*t(g).\nAnswer: g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6350 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7034 by -3517.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3.9. Let y = 0.1 + -0.2. Let g = -398\/315 - -4\/63. Which is the nearest to n? (a) 0 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 - 3*f + 11. Let o(u) = -2*u**2 + u - 5. Let w = -20 + 27. Give w*o(y) + 3*d(y).\nAnswer: y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.079 (b) 3\/5 (c) -5\/3 (d) 0.3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -10. What is the lowest common multiple of 0 + h - 3\/(-1) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-21.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/11)\/((q*q**16)\/q*q*q*q)*(q\/(q*q*(q*q\/q**(1\/6))\/q))\/((q\/(q*q**(-1\/4)))\/q) assuming q is positive.\nAnswer: q**(-2627\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, d: 1, w: 1}. Give prob of sequence wd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let p(z) = -104*z. What is -78*g(m) - p(m)?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 7024084 and 7024084 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t + 3*h - 6, -t + 23 = 5*h. Let l = -2 - -2. Suppose l*a = t*a. Solve 4 = -a*z - z, z + 9 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 1\/16 in increasing order.\nAnswer: 1\/16, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w**2 + w**3 + 11*w**2 + 4*w**4 - 4*w - 31*w**2 + 9*w**2 in the form s*w**2 + h*w + g*w**4 + i + x*w**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3*y**4 + f**3*y**2 - 2*f*y**2 + 85*f + 18258*y**4 - 14*y**2 wrt y.\nAnswer: -144*f**3*y + 438192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-15470)\/(-51))*(-5)\/30*5.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*v + 4*o = -1078*v + 40, -v - o = -9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95468*8\/32 - 10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(0*q**2 + 0*q**2 + q**3) + q - q + 2*q**3 + (q**2 - 4*q + 4*q)*(4*q - q + 3*q) to y + m*q**2 + z*q + s*q**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = 51. Let p = 76 + k. What is the second derivative of -v**2 - 7*v - 15*v + p*v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*g + 102 + 50 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -327 (base 10) to base 15.\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0313 - -0.0313. What is the smallest value in -154, w, -4?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 2. Let a be w(-6). Differentiate i + 4 - i - 2*i**a with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*r + 2*q + 51, 18 = -3*r - 3*q. Let n be -3*(168\/r)\/7. Let g = n + 4. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 + 2*z + 2. Let j be a(2). Suppose 0 = -w - j*w + 108. Calculate the remainder when w is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 3*m + 2*x, 2*m + 435707 - 435766 = x for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1604223.24 to the nearest one thousand.\nAnswer: 1604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 23*g - 57. Let c be b(17). Suppose 43*k = c*k - 308. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from ixmixmimmiixmmi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 85040, 3, 32 in descending order.\nAnswer: 85040, 32, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -175 (b) 1\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1492)\/154*1953\/1116 + 17?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*w - 13, -4*d = -6*d + w - 11. Let n be (1 + -1 + d)*-1. Solve 0 = -n*m + l - 15, -6*m + l = -3*m + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -7\/1759, 1, 6.3, -2\/17 in decreasing order.\nAnswer: 6.3, 1, -7\/1759, -2\/17, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1298 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:46 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144854*j**2 - 7*j**3 - 289732*j**2 + 144878*j**2.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v + 4. Let q be v\/(4\/(-8) + 0). Let y(k) = 0*k + k + 0*k. Give y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/456*8 + 5\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*m - 111 = 124*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0285 times -65.78\nAnswer: 1.87473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -119*y - 5 - 6*y**2 - 7*y**3 + 6*y**3 + 117*y. Determine f(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0 (c) 3\/2 (d) 6 (e) 3 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2268*h + 396 = 2235*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n**2 + 0)*(3*n - 5*n + 0*n) + 2*n**3 - 4*n**3 + 4*n**3 - 6*n**3 + 8*n**3 - 9*n**3 + (0*n + 0*n + 2*n)*(-n**2 + 4 - 4).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 66 = 4*l. Let p = 18 - l. Let m be 3\/(-12) - (-5)\/p. Is -3 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 110. Calculate m(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 197*t - 1. Let f be p(1). What is the highest common factor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-373)\/(-7) - 2\/7. Suppose -q + 0 = -c. Solve q = -5*i + 5*n + 3, -45 = 5*i - 4*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37413918 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131905, -132547, -133189?\n\"Answer: -642*y - 131263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*6\/(-4)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-1 - (252\/(-171))\/((-496)\/4712)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + 150. Let m be 0 - -4*(-2)\/(-12)*6. Suppose -m*w + 40 = w. Calculate the highest common divisor of p and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 7394838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48478552 is divided by 6925506.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(1\/(-4)). Let u = 11 - g. What is the second derivative of -3*b + b + 0*b**5 - b**u wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.203 - 0.017. Let l = 5.22 + o. Sort l, -4\/9, -13, 0.3 in ascending order.\nAnswer: -13, -4\/9, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 13\/((-65)\/(-30)) - -44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -306.09764\nAnswer: 91.829292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8095 = 3*t - 3*d + 8074, 0 = -t + 3*d + 3 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24229055 to the power of 1\/2, to the nearest integer?\nAnswer: 4922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/8 - 16881*l**2\/8 + 101313*l\/8 - 151983\/8.\nAnswer: -(l - 3)**2*(l + 16887)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let t be v(6). Let c(a) = 2*a**2 - 11*a + 5. Let k(o) = 3*o**2 - 16*o + 7. Let w(y) = 8*c(y) - 5*k(y). Determine w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-464)\/(-76) - 384\/224*21\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57272095547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/63)\/(-3*8\/144).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 757 = -26*h, -10*h + 0*b - 2*b - 89 = 4*h - 11*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)*h)**(7\/12)*(h**(-3\/8)*h)\/h*h*h**0*((h**(-2\/7)*h)\/((h*h*h\/(h\/h**(-11))*h)\/h*h))**(-3) assuming h is positive.\nAnswer: h**(-12763\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/10 and -27\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.816307 tonnes?\nAnswer: 816307000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 6\/7, 1\/4, 0, -43?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1446180 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = 4*u - 3*u. Let x = 647 + u. Suppose -t - x = -4*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2145853 is divided by 49901?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7299*y**3 - 7305*y**3 + 14497*y**3.\nAnswer: -107*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -10*s + 347. Solve 5*c - s = 5*o, -o = 5*c - 20 + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6457.3788 rounded to the nearest integer?\nAnswer: -6457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4*-6)\/((-3)\/(-4)). Let g = -24 + 14. Let j be 1 + 0 + (-5)\/g. What is the nearest to -2\/3 in 1\/3, k, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9809?\nAnswer: 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*q - 27*q - 35*q.\nAnswer: -154*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85688 or 85685?\nAnswer: 85685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (417*g + 43578 - 43578)*(-54 + 54 + 6*g).\nAnswer: 2502*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.05691.\nAnswer: 0.005691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -x - 5*p, -5*x + p = 2*p + 25. Let i = x - -5. Let f be (-296)\/(-48) - i\/(-6). Let n(q) = -2*q + 7. Give n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.6 - -10. What is the smallest value in 0.3, -2, i, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-65))\/(-4 - (-12)\/20)*4\/8?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(2\/53))**(-2\/9))**(1\/10))**29)**(-42) assuming n is positive.\nAnswer: n**(812\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/((-5605)\/133) + 3706\/(-340)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 20 = j + 20, -2*b = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/27)\/q*q*q**(5\/8)*q*q**(-10\/17)*q*q\/q**(-1\/9)*q*q assuming q is positive.\nAnswer: q**(22439\/3672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (4 + -2 + 2). Let h = -4 - -6. Solve 4*w - 8 = 0, o*w + 2 = r + h*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4\/3 - 392*n**3 - 13216*n**2 + 3508096*n\/3 - 4440576 = 0. What is n?\nAnswer: -236, -98, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 114928000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/918 and -53\/255.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13540044715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*q - 109598*q**3 + 109577*q**3 - 16*q)*(-q - q + 3*q).\nAnswer: -21*q**4 + 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 740572*b**3*p - 2*b**3 - 25*b**2*p**2 - 67221*b*p**2 + 3*b*p - 34*b + p**2 - 1 wrt b?\nAnswer: 4443432*b*p - 12*b - 50*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 84. What is the highest common divisor of 25 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696*-601.\nAnswer: 418296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14489 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 20*u - 449. List the prime factors of d(45).\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2406 divide 477755294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/103620 and 53\/69080.\nAnswer: 207240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/373 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082*h - 1087*h + 2171*h - 4490*h**3 - 2.\nAnswer: -4490*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -348.15\nAnswer: 1740.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 55*m**2 + 9*m + 7. Let y be q(-27). Calculate the greatest common divisor of y and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*6\/(-828)*(1\/(-4))\/((-125)\/(-300))\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72 and 0.492978.\nAnswer: -71.507022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -11*c**4 - c**3\/3 - c**2\/2 - 1. Suppose -4*y + 2 - 5 = 3*w, 5*w + y + 5 = 0. Does 21 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by -22406?\nAnswer: 71\/22406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -18, -26, -34?\n\"Answer: -8*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:34 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*i - 3*y + 16, -4*y = 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2256.8 - 1951. Let b = h - 305.7998461. Round b to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0269854983 rounded to four decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-10)\/4)\/((-9 + 1)\/1168)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/(-1 - 7\/(-10))*45\/1?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.009545s?\nAnswer: 4009545000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 34. Let b be 7\/(-6) + (5 - 4). What is the nearest to z in 3, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, i: 2, j: 1, b: 1, x: 1}. What is prob of picking 1 i and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5612)\/(-15433))\/(2\/88).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010101010001 (base 2) to base 4.\nAnswer: -13111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a69 (base 14) to base 7.\nAnswer: 140662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/44 and 113\/888?\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}