{"text":"Question: Let l(s) = -4*s + 2. Let t be l(6). Is 3 a factor of t\/(-6) + (-6)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 67569 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -309450 - 34403 = -89*k + 33685. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 164, -125, -590, -1237, -2072, -3101?\n\"Answer: -b**3 - 82*b**2 - 36*b + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/42*-32)\/((-6)\/(-3)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 + 78*w - 1504. Calculate the remainder when 566 is divided by l(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56 = -4*g - 0*g. Suppose -10 = g*t - 19*t. Suppose -2*u = 3*j - t*j - 11, 5*j + 4*u - 37 = 0. Solve -5 = -k + j*o, -3*k = -4*k - 3*o + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 219*f + 3184 - 337 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*m = 56*m + 19285. List the prime factors of m.\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Round 97829 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -76 - -130. Is d not equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 6468.\nAnswer: 1\/1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1367 - 149*n + 1367 to the form g*n + v and give g.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from hbkkokbkbrvkkkkr?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 + 5. Let q(b) = 3*b**2 + 4*b**2 + 4*b**2 + 0*b**f. Let s(v) be the first derivative of -2*v**3\/3 + 3. What is q(s(w))?\nAnswer: 44*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 21 and 32307121.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.83 - -0.83. What is the closest to -0.1 in -0.4, g, 55, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 198 = 5*j. Calculate the highest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32500 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*x - 385 = 6 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 58a455 (base 16) to base 8\nAnswer: 26122125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1822293 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 1114 divide 643037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 0 + 1)*(2 - 3 + 0) + 0 + 0 + 1)*(0*p**2 - 2*p**2 + 4*p**2)*(-3 + 6 - 2).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**5\/3 + 280*j**4\/3 + 12206*j**3\/3 + 65560*j**2 + 171264*j - 3064320 = 0. Calculate j.\nAnswer: -76, -24, -21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*d**4*v + 17*d**4 - 2*d**2*v - 89*v wrt d?\nAnswer: -8*d**3*v + 68*d**3 - 4*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 - (-1)\/(39\/9 + -4). What are the prime factors of (5 - j) + 7 + 205?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes before 12:48 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -5 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 4:34 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00020131941 rounded to 6 decimal places?\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 355170.3 millennia to decades.\nAnswer: 35517030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -19*l**2 - 591*l + 568. What is p(-32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2, 5, 33 in decreasing order.\nAnswer: 33, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 80, 57, 34, 11, -12?\n\"Answer: -23*o + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-132))\/((4\/80)\/(26\/(-65))).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -3*n**2 + 684*n - 38988 = 0.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 2*j - 2*h, 10*j - 86 = 5*j + 3*h. Suppose 0 = 4*o + 18*g - 19*g - 7, 20 = 4*g. Differentiate -t**3 + o - j*t**3 + 8 with respect to t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*j**3 + 267538*j**2 - 764*j + 611?\nAnswer: -108*j + 535076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 4*l = -30, 2*r + 3*l + 35 = -2*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2688 = -7*a + a. Suppose -s = 3*v - 6*s - 313, -s + a = 4*v. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2729.080861 rounded to the nearest integer?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - 6 = 2*a, 2*a + 0 = -3*z - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 4*a + 4*o = 5, 2*a - 20 = -2*o. Let f = 258 - 254. Suppose -3*p = -2*c, -p + f*c = a + 3. Solve -p*s = -s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*m - 2*x + 2*x = 5*m - 4*x + 21 + 6, 7*x + 14 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 10581, 42235, 94965, 168777, 263677?\n\"Answer: t**3 + 10532*t**2 + 51*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i + 17. Let w be j(13). Suppose -5*t + 4 = -w*o, 0 = 2*o - 0*t - 4*t + 8. Solve -2*k + 6 = -o*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:39 PM and 9:54 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 3)*(0*s**5 - 3*s**5 + 0*s**5) + (-5*s**4 - 2*s + 2*s)*(179*s - 169*s - 87*s).\nAnswer: 382*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -345\/14 + 64\/7. Let n = 3\/49 - 551\/196. What is the common denominator of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 134? (a) 5 (b) 58 (c) 4\/3 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:14 AM and 6:27 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(525)*1 - sqrt(525))\/(sqrt(7) - (sqrt(7) + 1*sqrt(7)*-4 + sqrt(7))) - ((-1 + sqrt(243))**2 + 3)*-4.\nAnswer: -72*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000569246 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**3 - 28*s**2 + 124*s - 128.\nAnswer: -(s - 2)**2*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 - 9*j**2 + 26*j + 2. Let w be p(-11). Let d be (-19)\/((-266)\/12)*w. Sort -3, d, -2 in descending order.\nAnswer: -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 42 + -41.9. Which is the nearest to n? (a) 4 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u - 11 = -31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 58959579 a multiple of 4468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2336 is divided by 259.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 2*v = 433, 3*v = q + 2*v - 141. What are the prime factors of q?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.68 - 0.18. Let m(l) = l**2 + 4*l + 3. Let w be 141\/(-27) + (-2)\/(-9). Let s be m(w). Which is the nearest to s? (a) -0.4 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6 - 14 - 19 + 39 + 37466*o as z + m*o and give m.\nAnswer: 37466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1429*x - 3413*x + 2813*x.\nAnswer: -2029*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13884 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 9:57 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1483 * 15576\nAnswer: -23099208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -256 - -259. What is the closest to -0.2 in w, 7, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 16\/40 + (-8)\/(-5). Suppose -o = -c, 15 + 5 = -3*f + 4*c. What is the closest to 0 in 3, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - (14 + (-62 - -30)) - (22 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 + 6*f + 3. Let w be c(5). Let a be (w\/12)\/((-2)\/(-6)). Let d be 0\/3 + -1 + -1. Sort 0, d, a in descending order.\nAnswer: a, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 2*d = -645, 2*d - 558 = -b + 103. Suppose -3*v + 5*r - 3*r = -b, -3*v + 5*r + 647 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 1:42 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j**5\/5 + 136*j**4\/5 - 1056*j**3\/5 + 2392*j**2\/5 - 428*j + 672\/5 = 0. Calculate j.\nAnswer: 1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 - 7*u + 5. Let n be r(-6). Suppose -3*d + n = -5*v, -3*v + d + 5 = 10. Let c = 2\/103 - -196\/515. Put c, v, -2\/17 in ascending order.\nAnswer: v, -2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*i - 65 = -5*u + 50*i, 3*i = -21. Solve 4*x = 5*c - 27, 0 = 4*c - 2*x + 4*x - u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -120717, -120725, -120733, -120741, -120749?\n\"Answer: -8*x - 120709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/40 in -1\/2, 7\/4, -25, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 230 divide 19587030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 8*j**2 - 17*j + 54. Is 38 a factor of b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2324 < -917632\/395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 552556.8 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-6*h + 3*h + 2*h)*(3*h**2 - 5*h**2 + 0*h**2) + 21*h**2 - 21*h**2 + 2*h**3)*(-2 + 3 - 3*h**2 + 0*h**2) + 629*h**3 - 5*h**5 - 629*h**3.\nAnswer: -17*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 + -9. Let k be (-2)\/m + (-69)\/63. Are k and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 429 - 434. Let d = -22.8 + 19. Let c = d + 0.8. What is the fourth biggest value in 0.1, l, c, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 - -8 - (6 + 6 + -5 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*h - 5820 - 7270 = 0. What is the highest common divisor of h and 1470?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -680 by 4.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 517220 and 15309712.\nAnswer: 76548560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1960679571 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 273 - 279 - ((5 - 1) + -1 - (2 - -11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13906 is divided by 87?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 2*w = 7. Suppose -8 - w = -5*c. Suppose -12350798 - 2049202 = -c*n. What is n rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 762*((-300)\/36)\/(-25) is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(-2)*r*(r*r*(r\/(r*r*r**(5\/4)*r))\/r)\/r)**(2\/85) assuming r is positive.\nAnswer: r**(3\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 3*l - 12, 5*c + 2*l + l - 12 = 0. Let z be ((-3)\/(-20))\/((-2)\/(-8)). Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 814, -3, 14, 8, 2, -5 in decreasing order.\nAnswer: 814, 14, 8, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-13860)\/(-176) + -54 - (0 - -2))\/(1\/(-4)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*m - 7*m. Suppose 5*g + m = 143. Calculate the greatest common factor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1*1\/3)\/(13\/78). Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 161 - 160.99999907. Round p to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19 + -22. Let p be 5*(-1 - 23\/(-25)). Sort p, w, 4.\nAnswer: w, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 200.9407 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -6*y + 2*y + 2*y - 6*y in the form g*y + j and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nx when two letters picked without replacement from sxnsnsqnxxs?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z + 4*z + 405 = 0. Let k be 8\/(-6)*(-18)\/12. Suppose w + k - 29 = 0. Calculate the highest common divisor of w and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -149\/5*n + 6\/5 + 119\/5*n**2 + 24\/5*n**3.\nAnswer: (n - 1)*(n + 6)*(24*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.3762 + 0.0762. Let s = -0.6 + 0.4. Let l = 5 - 9. What is the third biggest value in s, -6, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = -0*w - 2*w. Let s(d) = -d. Let c(t) = 15*t + 46. Let z(n) = -c(n) - 5*s(n). Does 36 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2, -9, -36, -95, -198?\n\"Answer: -2*r**3 + 2*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -223*l**3*y**2 - 234150*l**2*y**3 + 115*l*y**2 + 4*l + 12*y**3 - y**2 - 8*y wrt l.\nAnswer: -1338*l*y**2 - 468300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 117 (base 11) to base 12.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -568 - 1592 = -20*w. What is the remainder when w is divided by ((-1)\/(-3))\/(2\/132)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*r - 15 = 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 3 + 13 = 0. Find the first derivative of 2 + 13*c**m - 15*c**4 + 0 wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -375*j**4 + 19442*j**3 + 28495056*j**2?\nAnswer: -9000*j + 116652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 1830, -324, -5 in descending order.\nAnswer: 1830, -5, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-120)\/72*(-252)\/5. Calculate the greatest common factor of 945 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 + 15*t**2 - 3*t - 3. Is r(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1187940821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 10) to base 3.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1889 and -160.5?\nAnswer: 303184.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2 + (3 - -4 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3583 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + n = -2*n + 6, 4*n - 8 = -5*z. Suppose z = 23*p - 19*p - 76. Suppose p = 2*v - v. What is the greatest common factor of 133 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5563 or 868?\nAnswer: -5563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 + -40. Let o = c - -29. Let s be -1 + 2 - (-1 + -1). Put 19, s, o in increasing order.\nAnswer: o, s, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -37788, -74504, -111216, -147924, -184628, -221328?\n\"Answer: 2*y**2 - 36722*y - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 37224 and 17622.\nAnswer: 3312936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (5\/(-2))\/(2\/4). Suppose 6 = 4*t + 66. Let f be v\/10 - (1 - t\/(-2)). Sort f, -0.3, -4, -0.1.\nAnswer: -4, -0.3, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -260 by 565.\nAnswer: -52\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be -7*(-7)\/343 + (-104)\/(-56). Let g = -2 + 5. Suppose -12 + 42 = g*c. Solve -4*b = 3*k - c, 0*k - 3*k = d*b - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 444 and 5550.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**3 - 11*i**2 - 11*i - 3. Suppose -3*d + 1073 = -q, 5*q + 505 = 4*d - 911. Let f = d - 347. What is a(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 93 + 52*a - 93 + (3 - 3 + 6)*((4*a + 2*a - 4*a)*(-2 - 2 + 2) - 18*a + a + 11*a + 4*a - 3*a - 3*a) as d + v*a and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 - 2*u**2 + u. Let g be p(1). Suppose g = c - 38 + 7. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46*827.\nAnswer: -38042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/90 and 71\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 381, 762, 1143, 1524, 1905, 2286?\nAnswer: 2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 441706800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17596 is divided by 16473?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -257, -316, -429, -602, -841?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(4\/17)*k)\/k**(-5\/8)*(k**4\/k)\/k*k**(-19) assuming k is positive.\nAnswer: k**(-2059\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2531860, 5063786, 7595712?\n\"Answer: 2531926*d - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (5320\/(-5187))\/(-8)*(-24)\/15\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -9\/4*q**4 - 21\/8*q**3 + 3\/2*q**2 + 3\/4 + 21\/8*q = 0.\nAnswer: -1, -2\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 13108 and -1.\nAnswer: -13108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 0.2 (c) 221 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.20482 + -16.20482. Which is the fourth biggest value? (a) -0.2 (b) x (c) 17 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of 85*b**8\/2016 + b**6\/720 - 4*b**5\/15 + 11*b**2. Let s(w) be the third derivative of r(w). Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -23*h + 878. Calculate w(39).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -11*r**3 - 3 + 13*r**3 + 19*r**3 + r**2 + r. Suppose 1453*v - 1452*v - 1 = 0. Let w be h(v). Solve 3*l - w = -5*g, -5*g - 2*l + 12 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 897 - 897 - 2*b**2. Let k(j) = 21*j. Calculate k(m(c)).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 357414 (base 9) in base 3?\nAnswer: 101221110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 74, 4, -91, 2, -1, -3 in decreasing order.\nAnswer: 74, 4, 2, -1, -3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1307680, 1307536, 1307390, 1307242, 1307092?\nAnswer: 1306940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 766.4608nm in micrometers?\nAnswer: 0.7664608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -12 + 5 + 12 - s. Suppose 2*o = o. Determine x(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (14\/10)\/((-204)\/(-13260)). Suppose -5*s + 555 = 100. Factor 3 - s*d**2 - 3*d**3 - u*d**2 + 179*d**2 + 3*d.\nAnswer: -3*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-274)\/300 - (-14)\/175.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 72001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -16 in 1, -2\/11, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10149 + 9981 = -6*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the third derivative of h**8\/3360 - 11*h**5\/6 - 51*h**2. Let p(k) be the third derivative of f(k). Let l(v) = -v. What is l(p(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -87 + 186. Calculate the highest common divisor of i and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2742721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -808 = -7*n + 711. What are the prime factors of n?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 170274, 169828, 168634, 166320, 162514, 156844, 148938, 138424?\nAnswer: 124930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (24\/48)\/(1\/(-2)). What is the nearest to 0.11 in -0.1, -5, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 + 16. Let m = -7.4 + x. Let g be -1*((-1)\/3 - 1). Which is the smallest value? (a) 2 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 45971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 80 - 236\/3. Suppose 0 = s - 2*s + 3. Suppose 2*i = i + s. Which is the third smallest value? (a) -5 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**3 - 19*a**2 - 5*a + 96. Determine f(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 26.38 times -575\nAnswer: -15168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -158\/385 + -1\/55. Let k = 168 + -158. Let c = 10\/13 - 7\/26. Put c, k, o, -0.3 in decreasing order.\nAnswer: k, c, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7384 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 20\/11*c + 1\/11*c**2 - 21\/11 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 10*c - 10. Let d be u(-7). Let q be 6\/(-4)*d\/30. Let t be 6\/q*24\/9. Let b(y) = y. Give b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 396*n - 11458. Let t be r(29). Solve -18*u = 64 + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -44 or -318\/7?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.26 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 219048.\nAnswer: 2, 3, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 12) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the third derivative of 0*m - 2\/105*m**7 + 0*m**4 + 0*m**3 + 18*m**2 - 1\/15*m**5 + 0 + 1\/15*m**6. Determine w so that s(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(704))*-1.\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 4 + 3 = -5*m, q + 2 = -2*m. Suppose c = q*c - 84. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 o = -206 + 211. Let p(i) = 4 - o - 12*i**2 + i**3 + 12*i**2 - i. Let n(s) = 4*s**3 - 3*s - 3. Give n(l) - 3*p(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0495243 to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -1968*a - 26070 - 93385 = 26177 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1105*v - 1103*v - 6 = 0. Let d(c) = c + 1. Let w(a) be the third derivative of -a**4\/24 - 2*a**3 - a**2. Let f(t) = v*d(t) + w(t). Calculate f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -38356\/173667 + 4\/2379. Is -1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 9 + 30 = 0. Suppose -2*j = -b + 1. Suppose -86 = -j*k + 3*f + 157, -244 = -3*k + 4*f. What is the highest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - -0.1. Let k = -0.628 + -6.472. Let m = 7.2 + k. Which is the nearest to y? (a) m (b) -0.06 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/(n**9\/n))**(-11))**(25\/4) assuming n is positive.\nAnswer: n**(825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 3*k = 4*k + 11, 3*h + 4*k = 0. Solve 2*u - 4*u - 5 = -3*g, 3*g - h*u = 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 210\/(-20)*(-8)\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -272 divided by 2?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 7) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*s - 43*s - 4 = 0. What is the second derivative of 11688 - 8*x**3 - 11688 + 4*x**s - x**4 - 4*x**2 - 265*x wrt x?\nAnswer: -12*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45446, -45448, -45452, -45458, -45466, -45476, -45488?\nAnswer: -45502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -167.7917, 27 in decreasing order.\nAnswer: 27, 1, -167.7917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -61 by 21294.\nAnswer: -61\/21294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -446*p + 309. Let w(n) = -298*n + 205. Let d(o) = 5*v(o) - 7*w(o). What is the first derivative of d(g) wrt g?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 + -28. Let f be (-26)\/(-12) + 2\/n. Suppose -5*z = -5*y + 35, 2*y = z + 2*z + 18. Put y, f, 4 in increasing order.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -942, -1839, -2658, -3357, -3894, -4227, -4314?\nAnswer: -4113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 11:56 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (273\/(-90))\/((-1323)\/945).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5 - -5)*(-1)\/(-1). Suppose o = -a + 2, a = -g - a + 7. Which is greater: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1974 and -3.37.\nAnswer: -6652.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*(-244)\/8*2. Sort s, -4, -5.\nAnswer: s, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -43235 + -230421?\nAnswer: -314100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 32 = -134. Let x = -32 + m. What is the remainder when 74 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f**3\/3 - 7243*f**2 + 14485*f - 21727\/3 = 0. Calculate f.\nAnswer: 1, 21727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 679739581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 3*c = 337190, -44*a + 3*c = -49*a + 421501. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 - 22*v + 66. Determine f(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 151561 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1231021020 (base 4) in base 3?\nAnswer: 211201020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 88, -5, 0.5, -50398 in ascending order.\nAnswer: -50398, -5, 0.5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from velevxzzcvex.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -2*q**2 - 454*q - 11355. Calculate g(-177).\nAnswer: 6345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1102230 (base 5) in base 2?\nAnswer: -100101001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 55*p - 58. Let j(o) = -276*o + 327. What is 2*j(n) + 11*t(n)?\nAnswer: 53*n + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-10)\/(-185) - (-144)\/74. Factor -q - 1\/2*q**c + 0.\nAnswer: -q*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/(-3) + (-222)\/18 + 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z = 4*z + 318684880. Let s = z - 54171220. Round s to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2122012111001 (base 3) to base 2.\nAnswer: 101010110001010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = -t + a, -3*a + 89 = 5*t - 0*a. Suppose -17 = -h - c - t, 3*c + 9 = -4*h. Sort h, 5, -4, -5.\nAnswer: -5, -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 193*k**2 - 1. Let o(z) = 2*z**2. Calculate u(o(q)).\nAnswer: 772*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b + 16. Suppose -1 - 41 = 3*t. Let c be s(t). Let d be (-2)\/(-3*6\/45). Solve d*r - 3 = 2*o - c, 4*o - 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d + 6. Let j(w) = -3*w**2 + 15*w - 3. Let v be j(5). Determine r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50100 divided by -5?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 119*n**2 - 54*n**2 + 0*n**2.\nAnswer: 65*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - 10 = 5*b, -2*u - 5*b - 41 = -31 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4464*a**3*h**2*z**2 + 2*a**2*h + 22*a*h**2*z + z**2 wrt a?\nAnswer: 26784*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/1476 and -151\/156.\nAnswer: 19188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -29*p**2 + 33 + 148*p - p**3 - 148*p. Let a be ((-783)\/(-81))\/((-3)\/9). Let s be h(a). Calculate the greatest common divisor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 10, 0*m - 2*m - 4*a + 28 = 0. Suppose k = -k - m. Let z = -433 - -431. What is the closest to -1 in 1\/4, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (((-3)\/1)\/(-27))\/((-3)\/(-3)). What is the nearest to 0.1 in 0.5, -1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4.5, 0.328, 0.08?\nAnswer: 0.328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z, -4*c + 2*z = -13 - 3. Let m = 1 - -3. Suppose -m*h = -16 - c. Solve h*x = 16 + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 46869.33ms?\nAnswer: 46869330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 4) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1473720 to the nearest 10000.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = -2*n - 20, -4*n + 165*t - 24 = 169*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -34 - 6. Sort -5, t, -0.3, 1 in ascending order.\nAnswer: t, -5, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 4*h - 11 = 25, -5*r = 2*h + 39. Let c(x) = x**3 + 8*x**2 + 8*x + 10. Let z be c(r). Solve -z*l - 2*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -32 - 27302067308.7\nAnswer: -27302067340.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 774*k + 57798. What is l(-75)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 663586 divided by -4774.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the first derivative of -v**4\/4 - v**2\/2 - 2*v + 5. Let x(p) = p + 1. Let t(d) = f(d) + 2*x(d). Factor t(n).\nAnswer: -n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2404 + -2399. Which is the fourth smallest value? (a) 13\/4 (b) s (c) -7 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - v + 333 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-4\/3)*u**(3\/4)*u*u*u*u*u**(-2\/5)*u*u*(u**(8\/5)\/u)\/u assuming u is positive.\nAnswer: u**(277\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 115 - 73. Suppose -2*q = -2*f - g, -2*q + 2*f + f = -39. Let m(j) = -1 + 24*j + 2*j**2 - q*j. Calculate m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2928 and 1633458?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 298 and 7003?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 - 12*s**2 + s + 4. Let d be r(6). Let k = -1852\/9 - d. Let v = -5\/4 + 37\/36. What is the closest to -0.1 in v, k, -4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-9 - (-2024)\/224)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(5\/6))\/g)**(-1\/90) assuming g is positive.\nAnswer: g**(-1\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-39)\/(-13))\/(3\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22)\/4*3770\/(-165880).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/3, 551, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v - v + 3*v)*(2*v - 2*v - v)*(21 + 18 - 31).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 142626 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1763038497 to the nearest integer?\nAnswer: 41989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 49 + -5 + 1 + 3 + (0 + 4 - 7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjsjsjjjjjjsjj. Give prob of sequence jj.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -3*y**2 - 5*y - 4. Suppose 8 = -0*v + 2*v. Let t = 73 + -64. Suppose -v*q + 15 = -t*q. Give h(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 846 at least as big as 545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-14)\/(5\/3 - 2). Calculate the greatest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 335 and 6030?\nAnswer: 2020050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 16 = -n. Suppose -5 = 7*o - 26. Sort -5, o, n.\nAnswer: -5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11.2 times 0.13?\nAnswer: -1.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9*r - 4*r - r**3 + 0*r**3 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + -2 - 1 - -6. Suppose -2*m = -y - 6, -4*h + 248 = 4*m. Suppose 0 = -c - 4 + 19. What is the remainder when h is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence szs when three letters picked without replacement from {z: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**4\/8 - 5*w**3\/8 + 21*w**2\/8 + 53*w\/8 + 7\/2.\nAnswer: -(w - 4)*(w + 1)**2*(w + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together 13898839 and 0.92.\nAnswer: 13898839.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 810 - 457. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/7 + 13*(-24)\/(-14). Let j be 1 + z + 5 + -1. Let i(h) = -2*h - 5. Let q be i(-7). Calculate the greatest common divisor of q and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 15 = 2*f, 40*f - 3*l - 15 = 41*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21 + -17. Let c be 0\/(2\/(-4)*d). Let l(u) = -9*u + 236. Let g be l(26). Solve c = g*m - 2, 3*m = -5*w + 9 + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.05, 1, 2, 2\/39, -0.07, 0.5.\nAnswer: -0.07, -0.05, 2\/39, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -8, -15 in descending order.\nAnswer: 4, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28*((-91160)\/1113 - -82).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-24)*p)\/p*p*p\/(p\/(p\/(p\/(p\/(p\/(p*(p\/p**(-2\/37))\/p*p*p)))*p))) assuming p is positive.\nAnswer: p**(-738\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be 36\/(-30) + (-43)\/(-40). Which is the second biggest value? (a) -1 (b) k (c) -231 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 969 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the second derivative of k - 1\/6*k**3 + 3\/2*k**2 + 0 + 1\/12*k**4. Suppose -v = -3*v - 2*v. Calculate s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/89 (b) 5 (c) -3\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**3 - 1390*c**2 - 14275*c - 36000.\nAnswer: 5*(c - 288)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3067041 is divided by 76676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -659817+10674\nAnswer: -649143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 22712184 by 2.\nAnswer: 11356092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -808451, -808441, -808443, -808463, -808507, -808581?\nAnswer: -808691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a + 4*a - 7*a + (-1 + 1 - 2*a)*(3 + 2 - 3) - 5*a + a + 0*a + (-1 + 2 + 0)*(a - 3*a + 0*a) + (-3 + 1 + 1)*(-7*a + 0*a + 0*a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -102 - -110200101?\nAnswer: 110122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 413355 + 40?\nAnswer: 413435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (34\/102)\/((-1)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 548.8737 + 0.1263. Let m = 420.5 - k. Round m to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r - 20, -3*f + 30 = -r - 32. Let u = 30 - f. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18.507 rounded to 0 dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 3310 = 2*j, 2*j + 0*j = -5*h + 3338. List the prime factors of j.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 12*y - 39. Let h(n) = n**3 - 10*n**2 + 12*n - 15. Let u be h(9). Let v be z(u). Suppose 104*a + 35 = v*a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1201 (base 4) to base 15.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 8*s**2. Let x(a) be the second derivative of a**4\/12 - 5*a**2\/2 + 2*a. Let g(l) be the first derivative of x(l). Determine g(m(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 317 + 241.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.28077 - 0.28077. Let s be 3\/(-5) - (1 + -1). What is the closest to 1\/5 in -1, p, -0.5, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -87*n - 2746. What is the remainder when z(-35) is divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 10*w - 16. Let o be s(-7). Suppose -2*j = -43 + o. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -3*b**2 + 7*b - 11. Let x be m(4). Let p = x + 35. Solve 4*n + p = -12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**3 - 13*f**2 - 21*f - 2. Give d(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 498487 - 498486.6. Let w = -148\/451 - -6\/41. What is the second biggest value in 23, w, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8 - 9. Let g = -2 + a. Let z = 19.0000116 + g. Round z to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3264 and 1458243.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 AM and 10:54 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 63554845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 2 e when four letters picked without replacement from {i: 4, v: 1, o: 6, j: 2, e: 4}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from {h: 4, n: 1, w: 2, f: 6, a: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = f + 1200, f + 607 = -5*i + 2116. Suppose i = 2*w - 5*p - 68, 3*w - 561 = 5*p. What is the greatest common factor of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 212687 is divided by 212596?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - 4. Suppose -o + 38*o = 4*o + 165. Put -30, j, o, -3 in descending order.\nAnswer: o, -3, j, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 145950 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -201827*n**2*v**2 - 3*n*v**2 + n*v - 1598*n - 1 wrt n?\nAnswer: -403654*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2273321 at most 11366598\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/63)\/(43\/(-258))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -24*j**3 - 226*j**2 - 233*j - 1264. What is a(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*(z*z**0)\/z)\/z)**46)**(2\/105)\/((((z\/(z\/(z\/((z\/(z*z*z**7\/z))\/z*z))*z))\/z)\/z**(3\/2))\/((z*z**(-2\/23))\/z*z**(-6)*z*z)) assuming z is positive.\nAnswer: z**(-395\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/((c*c**(-3\/2)*c)\/c)))**(-2\/49) assuming c is positive.\nAnswer: c**(1\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -665 + 644?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 + 3.025. Let v = m + -2.625. Let k = 2.1 + v. Which is the nearest to 1? (a) k (b) 5 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = 7*p - 19. Let a = p + -2. Suppose 2559 = a*m - m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12122122 (base 4) to base 5.\nAnswer: -1320031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 361*u**5\/2 - 34257*u**4\/4 + 111787*u**3\/4 - 24911*u**2 - 3276*u + 8624 = 0 for u.\nAnswer: -1\/2, 1, 28\/19, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 1 = 2*s. Suppose 0 = s*h + 4*c - 681, -3*h + 4*h - 117 = 4*c. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -73, -51, 7, 119, 303, 577?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - -10) + -10 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -v - 4, -6 = 2*w - 5*w. Suppose 2*x + 2 = 4*z, -2*x + 5 = v*z + x. Which is the smallest value? (a) -0.4 (b) z (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92095498 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -74.40798851 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1115756*t - 1115756*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0011681503 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -15.9, 2 in increasing order.\nAnswer: -15.9, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0.07, -5, -0.4, 17.\nAnswer: -5, -0.4, 0.07, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1181397?\nAnswer: 3, 7, 101, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the third derivative of 0*o**4 + 2*o**2 + 2\/105*o**7 + 8*o**3 + 16*o + 0*o**6 - 1\/30*o**5 + 0. Differentiate j(x) with respect to x.\nAnswer: 16*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 24.2572 - 24.3. Let c = -10.547 + 10.6. Let k = c + d. Round k to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 320 and 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 231 + -187. Suppose -i*v = -42*v - 164. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-80)\/(-15))\/4*9\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15724, 31382, 47050, 62734, 78440?\nAnswer: 94174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 6, v: 1, r: 2, w: 9}. What is prob of sequence wvdd?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 11 = l + h, h - 13 = -5*l. Suppose 179 = l*z - 112. What are the prime factors of z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -92 - 741?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-1883)\/(-266) + -7)*12\/477. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a**2 + 0*a**2 + a**3)*(a - a + a**2) - 3*a**2 + 2*a**5 + 3*a**2 + 2*a**2 + 15*a**2 - 42*a**2 + a**5.\nAnswer: 4*a**5 - 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 141*i**3 + 23*i**2 - 139*i + 20. Let n be b(-20). Round n to the nearest 10000.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3357 divided by -1119.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does -6.51 = -0.0875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -11 - -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 26597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21 - 2*z + 21 - 3*z**2 to the form l*z + o + d*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 3\/7, -2\/77, -0.064?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 7*c**3 - 7*c**2 + 7*c - 3. Let n(i) = -4*i**3 + 3*i**2 - 3*i + 2. Let h(u) = 5*n(u) + 3*v(u). What is the units digit of h(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 - 11. Suppose n*v - 36 = -0*l - 2*l, 3*v - 4 = l. Which is smaller: l or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011000100011011 + -10110000000?\nAnswer: -1011011010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 4.3, -0.3, -0.1, -1\/3847 in increasing order.\nAnswer: -0.3, -0.1, -1\/3847, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - (-2 - -3)) + 1\/2. Which is the smallest value? (a) 8\/21 (b) 5 (c) z (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.5734052cm?\nAnswer: 0.005734052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -240957915*u**2 + 13*u + 29345831 wrt u.\nAnswer: -481915830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**2 + 17*t + 30. Let h be w(-16). Suppose -8*n = -392 + 56. Suppose z - x = 3*x + n, x - 42 = -z. What is the greatest common factor of z and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 1375*a - 4133. Let z be t(3). Let o(c) = -2*c**3 + c**2 + c - 2. Let y be o(2). Let u = y - -3. Is u at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 5*j - 1. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2577631 equal to -2577587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 92826214 divided by -1132027\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 100 = 5*j + w, -4*j + 87 = -3*w. Suppose -j*z + 19*z = 6. Let c be 3 + (-22)\/z - (-188)\/12. Solve m + 4*b = 20, -2*m + 3*b - c = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -60*d**2 - 95*d - 3. Let l(a) = -19*a**2 - 30*a - 1. Let y(w) = 19*l(w) - 6*u(w). Determine y(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -114*((-39)\/10)\/(-3) - 2. Let w = 151 + x. Which is the biggest value? (a) -3 (b) w (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1494\/32 + 4345\/13904?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/(i*i*(i**6\/i)\/i)*i**(-1\/3)*i*i**(2\/5)*(i\/i**5)\/i*i assuming i is positive.\nAnswer: i**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 4*r = 24, 0 = 6*i - 7*i + 5*r + 9. Let z be (-48)\/30*(-1)\/(i\/10). Solve -2*d = -5*m - 18, 3*d + 0*m - z*m = 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**2 - 13*k + 10. Let q be (-10)\/65 + (-180)\/13. Let w be c(q). What is the nearest to 0 in 2, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 275742*m**2. Let q(w) = -3*w**2. Determine q(i(y)).\nAnswer: -228100951692*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 5383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**5*(l\/(l\/(l*(l\/l**(-5))\/l)))\/l)\/((l\/(l*(l**(3\/8)\/l)\/l))\/(l*l**(-7\/3))) assuming l is positive.\nAnswer: l**(169\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 + b - 2*b - 6 - b**2 + 3. Suppose 0 = -2*j + 3*f + 12, -j = -5*f + 2*f - 6. Let s be j\/15*5 - 2. Give y(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gn when two letters picked without replacement from {g: 11, n: 2, z: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 - v - 33. Calculate w(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 - 5*a - 6. Let u(h) = h**2 + 6*h - 4. Let m be u(-6). Let c be s(m). What are the prime factors of (c\/(-4))\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 AM and 2:14 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 897 = 2*c, 2*j + 0*j + 1782 = 4*c. Let x = c - 302. Suppose 3*p = 5*b - 248, -b + 4*b = -3*p + x. Round b to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 8771 = -2*g, 17*g - 12*g - 2*j + 21944 = 0. What is g rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 544249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.139 - -0.239. What is the fourth smallest value in -15, -2\/9, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2*w**3 - 3\/2 - 1\/2*w**2 + 5\/2*w.\nAnswer: -(w - 1)**2*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.6 and -1.3275.\nAnswer: -1.9275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = 19*x - 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 26049872 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 2 - 3 + o**3 + 0*o**3 + o**2 + 0*o**3 - 2*o. Is p(3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 309697 = -48*a + 310609 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -22 less than 40?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 176 - -11. Let h = 192 - i. Solve 2*f - 5*o - 16 = 0, f - 10 = -4*f + h*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5671276, -11342550, -17013824, -22685098?\nAnswer: -28356372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 + 2*f - 1. Let q be b(-3). Suppose 2*s + x + 3 = -2*s, 5*s + q = 2*x. Let v = 3\/4 + -45\/28. Is v != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 8 = 7*a. Let d(x) = -x**2 - x + 3. Let w be d(0). Solve -w*g + g = a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81427428 is divided by 211?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 20122220010211 (base 3) to base 16.\nAnswer: 360778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (22 - 21)\/((-9)\/18). Which is the fourth biggest value? (a) 2\/11 (b) -3 (c) 1 (d) 0.5 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s + 9. Let y be x(-7). Suppose -59 = -3*u - o, -y*o = -0*u - u + 15. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -14\/9, 2\/15, -3\/5, -8, 1, -1\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 172.283 + -0.283. Let p = q + -171.99999899. Round p to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(2 + sqrt(600)\/(2*sqrt(768)) + 2).\nAnswer: 15*sqrt(2)\/16 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1722\/369)\/(35\/75). Solve -13*z + w*z + 2*j = 25, 2*z + 4*j - 26 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*r + 45 = -4*r. Suppose 0*p = -p - 3*g + 104, r*p - 312 = -2*g. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 - 64*c - 308. Calculate the remainder when f(-58) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36\/4 - (-580986)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*w**2 + 5 + 0 - 5 to j*w + u + f*w**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 j, and 2 b when four letters picked without replacement from {o: 1, r: 1, b: 2, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11 - 10\/((-170)\/49249).\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c. Let i(o) = 127*o + 2. Calculate f(i(u)).\nAnswer: 127*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -3*t**2 - 2. Let m = 5 + -4. Let w be (-4)\/(-1)*m\/(-2). Let r(l) = -13*l**2 - 9. Calculate w*r(a) + 9*d(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be (57\/(-21) - -3)*-7. Let s be (w\/16)\/(7*4\/56). What is the nearest to -1\/3 in -4, -5, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 857.8492 tonnes to kilograms.\nAnswer: 857849.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) -3 (c) 0.4 (d) -279 (e) -141 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -347 * 333475.\nAnswer: -115715825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m + 3*m - 2*m)*(1 + 10 - 4).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 342 is divided by 80.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3.9 less than -25?\nAnswer: -28.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 7 (b) -5 (c) -35\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r**5\/2 + 7*r**4 - 5*r**3 - 150*r**2 - 189*r\/2 + 243 = 0. What is r?\nAnswer: -3, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0008383165386 to seven dps.\nAnswer: -0.0008383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) 0.4 (b) -0.33 (c) 53 (d) -31.4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 229016 and 229016.\nAnswer: 229016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.0922 (b) -1 (c) -3 (d) 0.1 (e) 10 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-180)\/330 - (54\/22 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-9)\/(6668\/(-37400) + 4\/22). Let g = -1704 - x. What are the prime factors of g?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2875\/6? (a) 1 (b) -17 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 953560\/496*4\/5?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 + 2*l - 1. Let m(i) = 9*i**3 - 12*i**2 - 58*i + 3. Let q(u) = 6*f(u) + m(u). Is q(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 8, 4\/5, -1666?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9728*r**2 + 5*r**3 + 15*r + 9728*r**2.\nAnswer: 5*r**3 + 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10101100 + 2?\nAnswer: -10101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 119114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 75 = 6*a - 5*a, -8*a - 597 = -3*d - 522 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -m = -6*z - 29, 2*m = -51*z + 53*z + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of 1\/12*k**4 - k - 1\/6*k**3 + 7\/2*k**2 - 4. Let q(j) be the first derivative of o(j). Determine q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 166989\/61 bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 474*x = 435 + 39 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - 2.5. Suppose 0 = 677*n - 738*n - 1403. Sort f, n, 0.1, -3.\nAnswer: n, -3, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 less than -208975.4074?\nAnswer: -208975.8074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + 4*g + 2928, 1853 = 5*f - 4*g - 3027. Suppose f = 52*l - 36*l. Calculate the remainder when l is divided by 130\/6 + (-2)\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.44 times 0.063887?\nAnswer: -0.09199728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(3\/4)*(d*d**(-5\/4)*d)\/d*d)\/(d*d*d*d*d\/(d*d**4)*d**(-5))*(((d**4\/d)\/d)\/(d*d**(2\/9)))**(-21) assuming d is positive.\nAnswer: d**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 44211 divided by -8\nAnswer: -44211\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**3 + 4*n**2 - 1. Let r be s(2). Let i(f) = 2*f + 4. Let b be i(r). Suppose w = 4*w - b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1524217277.\nAnswer: 11, 431, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -3 - 1 - 2 + 4 + 11*c. Let b be v(1). What is the highest common divisor of 99 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - 1)*((-3 - -2) + 4). Suppose r*l + 2*l = 355. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33382146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 1, 35, -5, 19 in descending order.\nAnswer: 35, 19, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 1 = h - 3*t, 2*h - 3*t = 13. Suppose -h*n - 29 + 429 = 0. Is 47 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/13)\/(36\/(-108)*(-2)\/20).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9? (a) -650 (b) -5 (c) -542\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(2\/3))**(-2\/3)\/(t*((t**2*t)\/t)\/t)**(-4) assuming t is positive.\nAnswer: t**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -2. Let k(n) = n - 1. Let a = 4 - 2. Suppose 4*d - 3 = 5*d - r, -4*r - 6 = 5*d. Determine a*c(s) + d*k(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 6518 (base 9) to base 6.\nAnswer: 34112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/20)\/(((-1984)\/160)\/(-31)*(-1)\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -118\/3, -2, -1\/8, 3\/7, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 6 + 4 = 0. Let y = -409\/7 - -58. Which is the nearest to 0.2? (a) y (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -25.4? (a) -86\/3 (b) 1\/10 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + 430*o**2 + 25591*o - 417. Calculate l(-53).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together 339727.3 and -4.6.\nAnswer: 339722.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -630.6 + 630.2. Let q = 133\/320 - 1\/64. What is the closest to 1.7 in q, -1, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 73.68622 and 0.4.\nAnswer: 29.474488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*q**2 + 714*q.\nAnswer: -3*q*(q - 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is m in -4*m**4 - 36*m**3 + 668*m**2 - 1692*m + 1064 = 0?\nAnswer: -19, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 4, -2, -4, 0.1, -18\/53?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -2*b**2 - 3*b + 12. Let r be i(-9). Calculate the lowest common multiple of 28 and (41\/r)\/(1\/((-3)\/1)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 1, -0.4, -5\/22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23920.219 - -23906. Let c = l + 0.219. What is the smallest value in 5, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88*n - 92*n + 44 = 0. Solve 0 = -7*v + 2*v - 2*g - 20, -2*v + n = -3*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - -0.3987794612258\nAnswer: -2.6012205387742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33 + -22. What is the greatest common factor of 99 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -982 - -980. Which is smaller: -6\/23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -25 - -47. Let t be (-48)\/4 - (0\/(-3) + -1). Let a = t + k. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 112.7979 * 0.2\nAnswer: 22.55958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -10*h*z**2 - 25*h + z**2 - 8*z wrt z?\nAnswer: -20*h*z + 2*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q + 8. Let t be v(12). Let y be (2 - t)\/2 + 6. Suppose -11 = -5*d + 4. Solve -6 = -3*i - d*z - 24, -3*z = y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.28 - -3.72. What is the third biggest value in m, -4\/5, -1\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 670 and 4330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 - 6. Let i be 2*(2 - (-2 + v)). Find the second derivative of -2*b - i*b**4 + 5*b**4 + 0*b wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -529*h - 9254 - 9053 = -4553 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 64 = -3*o, 0 = -a - 2*a + 3*o + 69. Differentiate -8*c + 24 - a + 16 with respect to c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -350 divided by 8.\nAnswer: -175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*c*d**2*o - 57*c*d*o + 10*c*d - 4*d**3*o - 10*d**3 wrt d?\nAnswer: 4*c*o - 24*d*o - 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 39? (a) 7 (b) -270 (c) 3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -121*d**4 - 44*d**3 + 117*d**2 + 44*d + 4 = 0.\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3686251182 + 0.\nAnswer: -0.3686251182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p, 1 n, and 1 d when four letters picked without replacement from dtddpnfnpndddpf?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.29? (a) 4 (b) 3 (c) 5 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add 88.88542544 and -171.\nAnswer: -82.11457456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -12*n**3 + 6*n**2 - 6. Suppose -18*c - 18 = -15*c. Let l(k) = 35*k**3 - 17*k**2 + 17. What is c*l(w) - 17*j(w)?\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*v**4 + 4387*v**3 + 18*v**2 - 4789*v + 1 wrt v?\nAnswer: 24*v**2 + 26322*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -62749, -128010, -193271, -258532, -323793?\n\"Answer: -65261*p + 2512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -338284? (a) 1 (b) 3\/5 (c) 5\/4 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 266238619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange t**4 + t - 26106*t**2 + 26105*t**2 + t**3 - 6*t - 8 to the form f*t + p*t**3 + o*t**2 + z + m*t**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 111236\/6 - (-106)\/(-318) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1301206 is divided by 162529?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k*k**(-2)*k)\/k)**(5\/14))**(2\/27) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 7 = l, -31*m - 9 = -34*m. Let w(k) = -k**2 + 5*k - 4. Let v be w(4). Suppose 0 = -l*n, -100 = -4*y + n - v*n. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -1526*q - 30 - 11 + 1531*q. What is y(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*a + 0*q - 25 = 34*a - 3*q + 14 - 3, 6*a = 2*q + 54 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4302?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -108604*q + 80621 wrt q.\nAnswer: -108604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 33*c**2 - 28*c + 112. Is s(29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87*a + 76*a + 110 = 185*a. What is the remainder when 304 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 1)*(-7*l + 2*l - 11*l).\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6*2\/10)\/(2\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 2*u**3 - 9*u**2 - 218*u - 6. What is x(-10)?\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 62 and 280938709.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76*j + 162*j = -73*j + 9222. Calculate the remainder when j is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) -5 (c) -0.11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 94, 368, 826, 1468, 2294, 3304?\nAnswer: 4498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(2\/7)*t\/((t\/(t\/t**(2\/9)))\/t)*t*(t*t**(-5\/4)*t)\/t**9 assuming t is positive.\nAnswer: t**(-1307\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s - 2*w + 22, -s - 4*w - 3 = -7*w. Suppose 2 = s*t - 46. Solve -j = t*d, 4*d + 4 = -3*j + j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-32656)\/(-11304)*(-7 - 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 56847.12 millilitres?\nAnswer: 56.84712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the first derivative of m**4\/2 + 14*m**3\/3 - 8*m**2 + 3*m + 8. Let a be z(-8). Solve -7*n = -a*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-365 + 365 + 8*a)*((-4*a + 4*a - a)*(-a + 0*a - a) - 14*a**2 + 21*a**2 + 22*a**2).\nAnswer: 248*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/8067 or -48.3?\nAnswer: -48.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0*(2 - 9\/6). Let x = 0 - b. Let i be (x + -1)\/((-2)\/(-10)). Sort i, 0, -4 in descending order.\nAnswer: 0, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-10 - 715\/(-78)) + (-25148)\/(-24) is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10210071, 10210067, 10210061, 10210053, 10210043, 10210031, 10210017?\nAnswer: 10210001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 7}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -n**4 - 14 + 6*n**3 - 4*n**3 + 13 as v*n**3 + k*n**4 + s*n + j + c*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 2*k**2 - 19*k - 142314. Let v(c) = 2*c. Give v(w(g)).\nAnswer: 4*g**2 - 38*g - 284628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 19166 + -55565\/3. Let b = q - 645. What is the second biggest value in 10\/3, b, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*u**4 - u**2 - 4*u + 2*u + 5*u**4 + 16*u**2 in the form n + r*u**2 + x*u**3 + v*u**4 + z*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 289 - 283 - 5\/1170*1401.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-6)*(6255\/330 - 19)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(132)\/(2*sqrt(1728)) + (sqrt(2695) - (-2*sqrt(2695) + sqrt(2695)))\/sqrt(5).\nAnswer: 337*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 9 = -3*a. What is the smallest common multiple of a and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2326585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87*y - 1 + 14*y - 57*y.\nAnswer: -130*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 4*b. Let n(w) = w + 11. Let f be n(-9). Let o(k) = -6*k**f + k**2 + 3*k**2. Determine o(x(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -63, -0.1, 9, 2\/517, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3839, -3848, -3857, -3866, -3875?\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 389292836*a**3 - 272*a**2 + a + 87329.\nAnswer: 2335757016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -3*a**3 - 7*a**2 + 4*a - 1. Let k be l(-3). Solve k*s = 10*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -0.2, -3, 4, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 13) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.9? (a) 56294 (b) -2 (c) -0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -95232 divided by 6\nAnswer: -15872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -1765922 - 0.01.\nAnswer: -1765922.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8599898 is divided by 6052.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*h*s*y + 9*h*y + 7*s*y + 1474*s + y + 853 wrt s.\nAnswer: -3*h*y + 7*y + 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes after 10:07 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 75762 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-21 - (0 + 10)) + 57?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/5247 and -19\/144?\nAnswer: 83952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, 9, 24969, -1 in increasing order.\nAnswer: -2, -1, 3, 9, 24969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n - 4*n + 2*n + 1. Let f(p) be the first derivative of 5*p**2\/2 - 4*p - 1. Let t(r) = f(r) + 4*s(r). Let g(h) = -2*h**2. Calculate g(t(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.5, -0.4, -1\/4, -1\/11, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*i*o**3 - i*o**2 - 14*i*o - 462*i + 11*o**3 + 31*o**2 wrt o?\nAnswer: 18*i*o - 2*i + 66*o + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-21) - 46\/14. Let j(b) = b**3 + 3*b**2 + 2. Let k be j(v). Solve d = 2*x + 1 - 0, -k*x = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 1:39 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 667290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(147)*-4)**2 + (sqrt(147) - (1 + sqrt(147)))*-6.\nAnswer: 9414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 6634109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 2086789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23112.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*o + 5*j - 265 = 7*o, 5*o - 5*j = 495. Let r = 529 - o. What are the prime factors of r?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 165 (b) 1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 218, 222, 230, 242?\n\"Answer: 2*w**2 - 2*w + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -287308, -287315, -287326, -287341, -287360, -287383?\nAnswer: -287410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.2 - -4.04. Let y = 1 + g. Let t = y - -0.281. What is t rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -83132*i**3 + 83151*i**3 - i + 57*i**4 + 71*i**4 + 102*i**4 to f*i**4 + q*i**2 + w*i**3 + p + j*i and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 339219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 28 and 3\/5 - (-485)\/25.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 451903732 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1823432044919 - 3.\nAnswer: -3.1823432044919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -23*r - 4. Let n(y) be the first derivative of -4*y**2 - y + 247. Let l(u) = -3*u - 56. Let h be l(-13). Determine h*n(c) + 6*i(c).\nAnswer: -2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 27905743*-1\nAnswer: -27905743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 13*a - 4. Let x(n) = 93*n - 30. Let d(o) = -15*b(o) + 2*x(o). Let p(q) = q - 4. Let i(m) = 3*m - 11. Let l(k) = 4*i(k) - 11*p(k). What is d(l(j))?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -11*i - 302. Let g be (-1600)\/1000*(0 + 17 - (-2)\/4). Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74461404 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -148 (base 9) to base 8\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 4. Let g be (-3)\/8 - 3410\/(-6448). What is the closest to -1 in g, 2\/23, n?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.14 + -0.06. Which is the smallest value? (a) -2 (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -3*b + 30, 4*h - h - 16 = -5*b. Suppose -13 = -3*z + o + 4, -b*z - 4*o = 0. Differentiate 3 - z - 2 - t**4 with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 527 (b) 1\/23 (c) -1632\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3290086223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 11) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11426542 is divided by 307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w - 15. Let g be u(11). What is the tens digit of g\/(-6) - (-770)\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 614 - 544. Suppose 3*m + s = 13*m. Let l(i) = -i**2 + 8*i - 5. Determine l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 59449 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**3 + 2*m**2 + 2*m. Let g be d(2). Let s = 10 - g. Let z = 44 - s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 4, p: 15}. Give prob of sequence mpmm.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the first derivative of -p**6\/15 - 4*p**5\/25 + 2. Solve g(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - -29 - ((10 - 5) + 4 + 2 - 50).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 11)*(-190)\/17100*-675\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 21.9 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, -7, -4, 24, 1, 21 in decreasing order.\nAnswer: 24, 21, 1, 0, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 228 a factor of 4285623432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + n = -8, -h + 3 = -2*h - 3*n. Suppose -3*k - k = 4*y - 16, h*y - 8 = -k. Solve -3 = 5*w + y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43129725, -43129728, -43129731, -43129734?\nAnswer: -43129737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - 2. Let d = 0.6 - -2. Let r = u + d. Which is the third smallest value? (a) -1\/2 (b) r (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 810348 (b) 302 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.5 and 3314.\nAnswer: 3314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 1 l, and 2 f when four letters picked without replacement from zlsddzfdddsdzf.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 7 + 3. Let k(s) = 4*s - s**2 + 1 - t*s - 6*s**3 + 5*s**3 + 0*s**3. Let x be k(-2). Solve x = 2*i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*n = 155131 + 62225. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*m = -116 + 89 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 441744.1um?\nAnswer: 0.4417441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 527 a factor of 405263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 2*i + 218, 5*s - 344 = -3*i + 241. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - q = -2*q - 13, w = 2*q + 1. Solve 9 = -w*h - t, 5*h + 7 = 5*t - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 - 24*g**2 + 24*g + 31. What is the remainder when 161 is divided by p(23)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*l - 3*q = 37*l + 111, -10*l - 3*q = -13*l + 93 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6927636 is divided by 2209?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times 0.23706464\nAnswer: 0.11853232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 153 and 99?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12 - 1. Let s = 192 - 191.932. Let g = s - 0.468. What is the third smallest value in q, -0.1, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 87 + -61. Suppose 4*f = 5*s + 49, -2*f + 2*s + 2*s = -k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -0.8, -0.5 in decreasing order.\nAnswer: -0.5, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -225 less than -225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 3:37 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 247 and 2315859?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:30 AM and 8:20 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -256077, -511859, -767641, -1023423, -1279205, -1534987?\nAnswer: -1790769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -5*l + 135, -3*q = -4*l - 5*q + 108. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**1*l)**(7\/5))**(-13\/4))**(-37))**(3\/29) assuming l is positive.\nAnswer: l**(10101\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17129 - -17124. Which is the third smallest value? (a) 1.64 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least as big as 311\/110133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19296.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 6:21 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, 11, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -23*v - 1042460 + 1042621 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13295688 and 180264?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - (sqrt(7) - sqrt(847)*1))**2 - (sqrt(70)*2)\/sqrt(10)) + sqrt(70)\/((sqrt(10) - (sqrt(10) - (sqrt(10) + sqrt(30)\/sqrt(3))))*6 + sqrt(10)).\nAnswer: -25*sqrt(7)\/13 + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 - (-147 - (-66 - -35))) + 6.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zwn when three letters picked without replacement from {z: 5, n: 1, e: 1, w: 3}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1122 + 3?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add together -82907 and 104129950.\nAnswer: 104047043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 2*z**2 + 6*z - 8. Let n be (-4)\/(-6) + (-4)\/6. Let m = -8 + n. Let t be u(m). What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 3*w - 70. Let c be f(25). Suppose 2*r = 4*r + 4, 1288 = c*q + r. Let g = 399 - q. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 10 = -5*y, -5*y + m + 35 = 4*m. Suppose 142 = 4*l - 2. Suppose 2*o - y = l. What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from kttgktst.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the third derivative of z**5\/30 + z**4\/3 + 38*z**3\/3 + 15*z**2 + 2*z. List the prime factors of b(-18).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 6*d**2. Let j(t) = t**2 - 9390. Give j(i(z)).\nAnswer: 36*z**4 - 9390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the third derivative of i**9\/3780 - i**7\/210 - i**6\/90 - 5*i**4\/24 + 28*i**2. Let t(c) be the second derivative of k(c). Factor t(s).\nAnswer: 4*s*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 15 = 0, 3*z = -3*p - 0*z + 21. Suppose -p*s = -4*s + 586. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the third derivative of m**4\/24 + 2*m**2. Suppose -l - l = o + 5, -5*l - 32 = -4*o. Let b(i) = 0*i**2 - o*i**2 + i**2. Calculate b(h(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {n: 3, g: 3, k: 3, q: 4, i: 1, r: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 4*r - 4*r)*(((-1 + 0 + 3)*(3 + 1 - 2) - 6 + 3 + 2 + 33 + 23 + 277)*(-2 + 0 + 1) - 5 - 2 + 2).\nAnswer: 682*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, t: 7, r: 3, w: 1}. What is prob of picking 2 n and 1 r?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 + -1. Let f = 3.5 - w. Let t = f + -1.18. Round t to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r**3 + 20*r**2 + 82*r - 4. Calculate the remainder when f(-6) is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 389 + -387. Which is the closest to -1\/3? (a) h (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 886 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -63 + 63. Suppose r = 5*g - 14*g. Solve 0 = -4*f + 4*t, 6*f - 2*f + 2*t - 12 = g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 12:26 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w. Let a(q) = -730*q**2. Calculate a(m(t)).\nAnswer: -730*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w + 3*w - 2*w**3 + (-5 + 6*w**3 + 5)*(-2 - 1 + 1))*(7 - 7 + 2*w).\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 31450 and -0.106?\nAnswer: -3333.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1042684*h**3*n**3 + 7656*h**3 - h**2 + 4*h*n**2 wrt n.\nAnswer: -6256104*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*t = 2*q + 10*t - 27, -5*t + 23 = 2*q. Suppose q*p - 48494 - 15920 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/(-22)*(-3212)\/(-27010)*(-10)\/8?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 AM and 10:21 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m. Let x(h) = 850039*h - 57. Calculate x(i(o)).\nAnswer: -1700078*o - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -5*p**2 - 56460*p - 789463. Determine x(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 957\/3854?\nAnswer: 957\/3854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that 4*m**5 - 7384*m**4 + 3377608*m**3 + 28203648*m**2 - 327657420*m + 515597400 = 0.\nAnswer: -15, 2, 5, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 0 + 1. Let l(f) = f**2. Determine l(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2061)\/36 - 1985\/(-1588).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 290 to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 AM and 10:39 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 - -2)\/(1 + 0). Let r be (1*(0 - 0))\/d. Let u(y) = y**2 + y + 22. Is u(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 4, f: 6}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {t: 14, z: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/(-4))\/(2\/(-80)). Let w = 31 - u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 2 = -0*s. Let l be (1 + 0)\/2*s. Which is bigger: 1\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 17 = 4*u - 2*p, 4*p = 5*u + 19. Let h be u\/(-9) + (-14)\/(-3). Suppose 0 = -3*j + c + 5, -2*c = h*j - 4*c - 8. Solve j*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = -11*m - 48 - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -1788*t + 1794*t. Solve -24 = 3*y + 5*u, t*u + 6 = 7*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12936 + 12939. Let q(h) = h**3 - 6*h**2 + h - 4. Let o be q(6). Let 0 + 1\/3*c**t + 0*c + 0*c**o = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -1 + 7*f + 59*f**2 + 11 - 58*f**2 = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z + 1. Let i be -3 + 22 + 2\/2. Suppose -4*m - m = -i. Suppose -5*q + q - 17 = 3*o, 19 = -3*q + m*o. Calculate l(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 4*k - 9274, 34*k - 27*k = 4*p + 18623. What is p rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 86\/(15\/((-930)\/4)). Is (7 + o)\/(5\/(-5)) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87 + 59 = u. Suppose m + 104 = -3*m. Let f = m - u. Solve f*a = -2*a - 3*n + 3, 5*n = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 3004754 to the power of 1\/2, to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wfw when three letters picked without replacement from rzprrrzzvwfzpw.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1204 - -435315?\nAnswer: 434111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 62643.65 kilograms?\nAnswer: 62.64365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 32 = 5*o - 9, -2*o - 10 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i + 110. Let g(o) = 5*o + 568. Let x(j) = 6*g(j) - 31*w(j). Suppose -5*r - 8 = -r, b + 4*r + 9 = 0. Give x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 - (3 + 2 + -3). Let v be o + -3 - -1*3. Suppose -y - 4*y + 220 = v. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7.08 + -7. Let w = 0.92 + m. Let q be -3 - (0 + 46\/(-14)). Are w and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-40)\/20*1\/(-4)*20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4\/1)\/(598\/13). Let l = 0.1 - 4.1. Sort l, 5, t in decreasing order.\nAnswer: 5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 49109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*m**3*z**3 - 5*m**3*z + 183*m**3 wrt z.\nAnswer: -12*m**3*z**2 - 5*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 189\/45*728\/1722 - (-36)\/(-20)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 - 12. Suppose -3*u - 94 = 3*k - g*k, -2*k + 144 = -5*u. Let x(a) = -44*a + 28. Let t(s) = -8*s + 5. Give u*t(z) + 5*x(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of v**7\/2520 + v**6\/270 - v**5\/360 - v**4\/18 - 5*v**3 + 10*v - 1. Let b(c) be the second derivative of w(c). Factor b(s).\nAnswer: (s - 1)*(s + 1)*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -333241 - 1?\nAnswer: -333242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 + 8*b**2 + 7*b + 10. Let a be f(-7). Suppose 6*c = a*c - 12. Let d(i) = -4*i - 5*i + 2*i + c*i. Let o(k) = -3*k. Calculate o(d(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 127\/1170 and 13\/9.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 4*r + 1422 = 8273, 6815 = 5*t + 5*r. Suppose 0 = 5*p + 2*j - 5*j - t, 4*p + j - 1080 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/(-230)*114570\/(-68742).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o - 2. Let n be g(-7). Suppose -3*a + 2*a - 6 = -3*b, 0 = n*b - 2*a - 10. Suppose -44 + 30 = -b*c. Calculate the remainder when 19 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 3*q = -4*q - 9, 5*q = -4*k + 12. Suppose -x - 24 + 10 = k*f, -2 = 5*x - 2*f. Let r(w) = -2*w - 2. Give r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, q: 7, u: 11}. What is prob of sequence uq?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - -5 - (-10 + 0 - (14 - 37))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -84, 3, -39421 in decreasing order.\nAnswer: 3, -84, -39421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 7612049*d. Let t(p) = 2*p**2. Give u(t(o)).\nAnswer: 15224098*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -491 (b) -4 (c) 2\/15 (d) 8 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/4 in -0.24, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 41? (a) 2\/5 (b) 0.47529 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14461 - -14461.00031833. Round h to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-80 + r**2 - 4*r**2 - r + 77)*((-28 + 12 + 12)*(1 - 1 - 3*r) - 5*r - 3*r + 3*r) to d*r + m + b*r**3 + y*r**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.04466 and -0.5.\nAnswer: -0.54466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30769758 is divided by 6927.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3 - -6. Suppose 0 = -4*l + n + 11, 2*l = 6*l - 3*n - 1. Let f = -1 + l. Solve 0 = 5*q + f*x - x + 19, d*x = -2*q - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -47111?\nAnswer: -2\/47111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15707 - -15712. Let c(l) = -5*l**2 + 4*l + 2. Let z(v) = -4*v**2 + 0 + 4*v + 2 + 0*v. What is y*c(o) - 6*z(o)?\nAnswer: -o**2 - 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w and 1 b when four letters picked without replacement from {w: 3, b: 2, i: 10}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 93.62002 millilitres in litres?\nAnswer: 0.09362002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 4, p: 1, d: 2, a: 10}. Give prob of picking 1 p, 1 d, and 1 a.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the first derivative of -1\/6*q**3 + 1\/4*q**2 + 0*q - 2. Factor a(x).\nAnswer: -x*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -536*-1.\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 205, -109, -429, -755, -1087?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*m - 105*m + 100*m - 476 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1316391?\nAnswer: 3, 523, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -250 (base 16) in base 5?\nAnswer: -4332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.325868ml?\nAnswer: 0.000325868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 408*m**4 + m**3 - 109*m**2 - 30*m + 5. Let k(z) = z**4 + z**2 - 6*z + 1. Let v(y) = 5*k(y) - x(y). Find the third derivative of v(i) wrt i.\nAnswer: -9672*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 14, -9, 0, 189 in descending order.\nAnswer: 189, 14, 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*r - 0*r. Let t be (r - -4) + -9*1. Let q = 10 + t. Solve a + h - 11 + 5 = 0, 0 = -4*a - q*h + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -87*z - 60. Is s(-17) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (2 - (-4 - -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 - 14*r**2 - 3. Let m be q(14). Let o be m\/(-1) - 84\/(-2). What is the common denominator of 4 - (1 + o\/11) and -41\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 201685?\nAnswer: 5, 11, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**5\/3 - 16*r**4\/3 - 32*r**3.\nAnswer: 2*r**3*(r - 12)*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(-1\/4)*r**(-5\/7))\/(r\/(r\/(r**(-5)*r))*r\/(r**(2\/9)\/r)))**(-6\/11))**20 assuming r is positive.\nAnswer: r**(-5690\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -24. Solve -5*c = 3*u - v, -10 = -4*c - 3*u + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:45 PM and 10:21 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.4 - 0.4. Which is the closest to x? (a) 5\/2 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 59, 36, -11, -88, -201, -356, -559?\n\"Answer: -m**3 - 6*m**2 + 2*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 + 3*d + 592. Let g be o(0). Suppose 10*u - g = 3038. Is u a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 3*q**3 - 2*q**2 + q - 1. Let o(a) = -4*a + 18. Let b be o(4). Give z(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 555025187 by 4.\nAnswer: 555025187\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2469 a factor of 412616644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/((112\/8 - 17)\/(-30)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.105976365 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert d20cb (base 14) to base 3.\nAnswer: 221122211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tetm when four letters picked without replacement from mhthzheztmmm?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2203440000 to the nearest integer?\nAnswer: 46941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153945 is divided by 16643?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + 0. Let l be f\/((-10)\/4 - -2). Let v be l\/8 - (-76)\/(-176). Which is the third smallest value? (a) v (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -1. Let h(c) = c**2 - 5. Let k(q) = -h(q) - s(q). What is the first derivative of k(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/24 and 178\/12*(-27)\/(-189).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) 2 (b) -4648 (c) -1\/7 (d) -1\/4 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 11) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**3 + 12*m**2 + 18*m - 62. Let w be q(13). Suppose 125 = w*s + 2*l, -s = -6*l + 4*l - 31. Calculate the remainder when s is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 - 2*k. Let l = -227 - -238. Let t(f) = -2*f**2 - 6*f. Give l*r(i) - 4*t(i).\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/756 and 137\/840.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 187.6665 months?\nAnswer: 1.5638875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:43 PM and 6:00 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -174596*l**4 + 175560*l**4 + 1 - 4*l**3 - 3 to y*l**3 + m*l**4 + o + h*l + c*l**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2505561623 and -25.34?\nAnswer: 2505561648.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m**3 + 143*m**2 - 361*m + 1109. Give b(69).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -4*r**2 - 5. Let t(d) = -3*d**2 - 6. Calculate -4*i(w) + 5*t(w).\nAnswer: w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the third derivative of y**5\/60 - 20*y**2. Let p(k) = -10*k. What is v(p(z))?\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3213*x + 3108*x + 649*x - 565*x - 546*x.\nAnswer: 5859*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 19244 = -3*v, -24637 - 1030 = -4*v - 5*n. List the prime factors of v.\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:38 AM and 6:45 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 9*z**3 - 3*z**2 + 4*z + 2. Let i be -5 - (-372)\/21 - (-4)\/14. Suppose 5*n = 11 + 14, 0 = o - 3*n + i. Is 11 a factor of a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -2*q - 2*k - 2*k, -5*q - 3*k = 29. Sort 0.4, 0.6, q.\nAnswer: q, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + b - 128 = 0. Let a be 4\/8 - 66\/(-4). Let q = a - 0. Calculate the remainder when b is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes before 12:56 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/195)\/((-31)\/(-186))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**3 - 63*z**2 - 489*z - 155. What is h(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, f: 3}. What is prob of picking 1 f and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(396) + 1 + 4 - (5 + 1*sqrt(396)))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5951\/6 + -994. Let t = -176483\/18 + 9811. Find the common denominator of t and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 224 + -128. Suppose h = -i - 1. What is the common denominator of 59\/20 and 3\/(-33)*i\/(-2)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1547\/4 + (-1)\/(-4). Let j(b) = 7*b - 48. Let o be j(32). Let z = k - o. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3\/7, 3\/5 in decreasing order.\nAnswer: 4, 3\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-3))\/(331842\/639981)\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -23 - ((19 - 19) + 3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.123614903 to four dps.\nAnswer: -0.1236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 120 + -122.96. Let j = -0.04 + w. Let c = 52 + -54. What is the nearest to 1\/2 in -1, c, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*f**4 - f**4 - f**4 + (3*f**4 + f**2 - f**2)*(3 - 3 - 1).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 90961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 - 76*i**2 + 74*i + 261. Let g be b(75). Sort g, -5, 2, -1, 5 in descending order.\nAnswer: g, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 + -3 + (2 - -1). Let a be 0 - -9 - (-6 + 9 + -5). Sort 1, g, a.\nAnswer: 1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -69, -68, -65, -60, -53?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 + 13*t**2 - 11*t + 6. Let s be b(11). Let g(v) = s*v - 241*v + 120*v. Let r(u) = -7*u. What is g(r(q))?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -30612.62 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 40309 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 3*k - 5*l - 67, 3*l = -7*k + 151. Put -23, -5, 2, 4, k in decreasing order.\nAnswer: k, 4, 2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -88, -164, -316, -580, -992, -1588, -2404, -3476?\nAnswer: -4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 2:21 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the second derivative of f**6\/90 + 17*f**5\/60 - 187*f**4\/36 + 319*f**3\/18 - 25*f**2 + 786*f - 2. Determine w, given that n(w) = 0.\nAnswer: -25, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 23*q + 20*q + 63, -39 = -2*o - 3*q. Which is the smallest value? (a) o (b) 2\/7 (c) 1\/5 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - 1602.61\nAnswer: -1603.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 12750990 and -0.3.\nAnswer: -3825297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 6311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3691*p + 2 - 14 - 3264*p + 12 + 890*p + (-2*p + 2*p + 3*p)*(0 + 2 + 0) to n*p + b and give n.\nAnswer: -6059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11414\/359541*(-36 - 0).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1986 - 1977. What is the lowest common multiple of a and 471?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-2) + -4 + 5 + -1. Are 67 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f + 12. Let p(g) = -13*g**3 - 2*g**2 + 3*g + 1. Let y be p(-1). Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from {b: 1, p: 3, y: 1, u: 2, s: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 553, -12\/13, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/15, -9, -1, 1, -1\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhmm when four letters picked without replacement from {h: 5, r: 3, m: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 - 1c0840?\nAnswer: -1c0839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 + 17*p**2 + 5*p + 41. Let a be f(17). Suppose 0 = -5*w + 25, 0*h - 4*w - a = -h. List the prime factors of h.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.05 (b) -0.12 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116 is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/2*(-38)\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2 - 3*s**3 + 11 + 16*s + 4*s**3 + 17*s**2. Let a be v(-15). Sort 3, -9, a in ascending order.\nAnswer: -9, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 2*h**2 + 35*h + 206. Determine v(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of h**3*o**3 + 2*h**3 - 28*h**2*o - h*o**4 + h*o**2 + o**4 wrt o.\nAnswer: 6*h**3 - 24*h*o + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.035 times 3\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -456, -543, -638, -741, -852, -971?\n\"Answer: -4*s**2 - 75*s - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is v in -3*v**4\/7 - 412407*v**3\/7 - 176742*v**2 = 0?\nAnswer: -137466, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 2*m - 6, -5*m + 11 = g - 21. Suppose 0 = 3*i + m, -4*a - 11377074 = -i + 12062924. What is a rounded to the nearest one hundred thousand?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-4) + (9 - 1337\/98)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the first derivative of -73*b**5\/5 - b**4\/4 - 122*b**3\/3 + 5*b + 9043. Find the third derivative of x(f) wrt f.\nAnswer: -1752*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 879.4163 minutes?\nAnswer: 52764978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*k - 19*k + 11*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 33236834 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/1959964 and -68\/369.\nAnswer: 17639676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 108474 is divided by 724.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -71*k + 32*k + 39*k + 3*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-11)\/1265*46)\/(5\/600).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 14 = -4*v, 3*v - k - 12 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1775 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1660.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 - 16*k**2 - 16*k + 12. What are the prime factors of v(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 11666627*3\nAnswer: 34999881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 270, 919, 1566, 2211, 2854, 3495, 4134?\n\"Answer: -i**2 + 652*i - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 464474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 5 - 1 = 0. Let v = n + 1. What is the least common multiple of 5 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 43287 and 4731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/6)\/(4\/18). Let p(l) = 1 + 0*l - 2*l**s + 3*l**3 - 2*l + 4*l**2. List the prime factors of p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -9*k + 4. Let u(v) be the second derivative of -4*v**3\/3 + 3*v**2\/2 + 2*v + 1286. Determine -6*o(n) + 7*u(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**2 + 3*k - 2. Let l be m(2). Suppose -4*p + 4 + 4 = l. Suppose 0 = -0*t - 4*t - w + 5, -w = -2*t + 1. Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5093 + -13871. Let k be 28\/(-98) + (-1046)\/l. Let c = 2\/231 + k. Which is smaller: c or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - 29*k**2 + 57*k - 918. Give n(21).\nAnswer: -3249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 7*f - 3*f = -4, 0 = -i - 2*f + 2. What is the least common multiple of ((-4)\/1)\/(-11*28\/154)*26 and i?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxqxaqbaxrrxraxq. What is prob of picking 1 r and 2 q?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t - t + 3*t)*(2*t - 2*t + 2*t)*(0 + 1 - 4).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from osnoonononosooonooo. Give prob of sequence ns.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 4083660?\nAnswer: 1\/4083660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/11 and -163\/210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 63 and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.4 (c) -0.1 (d) -2 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5\/28, 6, -3\/5, 16\/3?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-28)\/(-3) + (-3)\/9. Let q(w) = w**2 - 6*w. Let p be q(6). Let g = 1 - p. What is the greatest common divisor of v and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 1274*b - 13985. What is i(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 6*g**2 - 2*g - 8. Suppose -3*o + 2*v = -v, -5*o = 4*v - 9. Let z be -2 - (4\/o + 0). Determine k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -13*m**3 + 4*m**2 + 4*m - 3. Let h(q) = -q**3 + q**2 + q - 1. Calculate 4*h(x) - n(x).\nAnswer: 9*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 20 = 7*c. Suppose -3*u + c*u - 1 = 0. Let f(m) = -6*m + 1. Give f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 754.9 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23 + -2. Let t be 28\/s*(-6)\/(-4). Factor -54 + 10*n + 28 + 5*n**t + 31.\nAnswer: 5*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, x: 1, s: 1, w: 1, f: 1}. Give prob of sequence xz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z**2 - 140*z - 497781 = 0. What is z?\nAnswer: -639, 779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -4*q - 6*q + 6*q - 18 + 3*q + 2*q as b + i*q and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(252)\/sqrt(4) + -2 + sqrt(112).\nAnswer: -2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*v - 13*v - 4*v**2 - 2*v + 2*v + v**2 + (v + v + 0*v)*(-4*v + 5*v - 3*v) + v**2 + 288 - 288 - 2*v to w + g*v**2 + j*v and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f = -2*r + 147 - 241, -118 - 105 = -r - 5*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 2*d + 16. Let h = 11 + d. Suppose 34 = 6*f + 10. Sort 1, f, h in descending order.\nAnswer: f, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20788928 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (57*1)\/((-105)\/(-35))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-2\/9)\/i*(i**(-2)\/i*i)\/i)**(2\/13))**43 assuming i is positive.\nAnswer: i**(-3268\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - (-450)\/(-12))*2. Which is smaller: -73 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 539903 - 539903 + 77*r.\nAnswer: 77*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 2 a when four letters picked without replacement from {a: 2, b: 10}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -13*s**2 - 888*s - 5074. What is q(-62)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 + 10*k**2 - k - 7. Let i be x(8). Suppose -q + i = 16. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.031212989 rounded to five dps?\nAnswer: 0.03121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2065\/76 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1090659919.\nAnswer: 1090659919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1988 + 4426. List the prime factors of d.\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11272 divided by -4?\nAnswer: -2818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y**2 + 3 - 3)*(-85*y + 41*y - 54*y) + 3 - y**3 - 3.\nAnswer: 97*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.8 + 1.8. Which is the nearest to 1\/2? (a) l (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(3))**2*-1*4.\nAnswer: -16 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**2 + 7*b - 7. Let a be t(7). Let m(l) = l**2 + 6*l - 5. Let o be m(a). Suppose 5*k = o*z - 18, -5*z = k - 6*k - 30. Is 0 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2\/15 - 8\/15*n + 2\/15*n**4 + 4\/5*n**2 - 8\/15*n**3 = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*n - 13*n + 36. Suppose -5*x + 45 = -2*p, 2*p = 2*x - 8 - 4. Find the first derivative of 6*i - 24 + x + n wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4912 + 2087 = 627*v + 12850 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a**4\/2 + 186*a**3 - 1446*a**2 - 267840*a - 3110400 = 0. What is a?\nAnswer: -18, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 4*n + 1. Let o(k) be the second derivative of -k**4\/12 + 17*k**3\/6 + 2*k**2 + 2504*k. Let g = 2 + 0. What is g*o(v) - 9*w(v)?\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -106\/33 + 39\/11. What is the nearest to -1 in l, 3, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the second derivative of -28*l - 5\/6*l**3 + 0 + 1\/20*l**5 + 3\/2*l**2 + 1\/4*l**4. Let n be (1 - 0)*(5 - 9). Give p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 566\/8 - 65\/(-52)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*b + 11*b + 17*b to c*b + o and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35716 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 917*h - 507*h - 410*h - 7*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/14*(10 - (8 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, a: 1, l: 2, m: 1, j: 2}. What is prob of picking 1 l and 2 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*n - 21*n = 54*n + 59 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/6, 4, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 8*f - 11. Calculate b(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4939 - 1274 = 5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 + (-64)\/(-40))*(-140)\/(-7). Let i(d) = -d**2 + d**2 + 2*d**2 + 11 + 17*d. Let b be i(q). Let n(a) = -2*a - 1. What is n(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 920 - 919.7. Which is the second smallest value? (a) -26 (b) -5 (c) -0.3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 959 - 91 = 98. Calculate the remainder when 1460 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -2*b - 32. Let j(d) = d + 2. Let r(u) = -5*j(u) + y(u). Let q be r(-6). Solve q*f + 9 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 8, 93, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 12 = -3*a + 24, a = 4*b - 28. Let q be 46\/b - 2\/10*25. Factor 3\/8*j**2 - 9\/8 + q*j.\nAnswer: 3*(j - 1)*(j + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*(-4*2\/(-22))\/(-10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2625914 (base 11) in base 6?\nAnswer: 241240245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 19 = -4*c, -2001*m + 1998*m = -4*c + 59 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 62 = 3*w, 0*w - 126 = -5*w - l. Suppose 18*v = w*v - 904. What are the prime factors of v?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w = -5*w. Suppose w*t = q - 4*t - 24, 0 = 2*t + 10. Solve q = 2*v, -2*v = -2*c - 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 918363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 104498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 3:37 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 5*u**2 + 13*u + 35. Let o be b(-9). Round o to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = 3*o - 15. Suppose 26 = o*g + 1. Find the first derivative of -2 - g - v**3 + 5 wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of 0*k**3 - 2 + 0*k**4 + 0*k**5 - 1\/2*k**2 + 0*k - 1\/600*k**6. Let g(d) be the second derivative of s(d). Solve g(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000016517 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1044 and 396?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -5552617 divided by 2?\nAnswer: -5552617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13 is divided by ((-14)\/(-42))\/(2\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + f + 2. Let p be q(2). Suppose -4*t = -4*h + 8, -3*t = 2*h - p + 1. Is ((-98)\/t)\/(-7 + 9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 9 - 4 - ((-11 - -22) + -9). Factor -16\/15*f**c - 44\/15*f**2 - 16\/5*f - 6\/5 - 2\/15*f**4.\nAnswer: -2*(f + 1)**2*(f + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68\/1*36\/360*-5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 5*f - 339, -10*p + 12*p + 4*f - 226 = 0. Calculate the remainder when p is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = -2*j - 38. Let i = j - -234. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 4, w: 3, g: 9, z: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*a - 16*j + 14*j - 8, 0 = -5*a - j + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 11.85 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -109213, -5, -303 in ascending order.\nAnswer: -109213, -303, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 3*q = -4*p + 40, 0 = p + 5*q - 10. Solve 0 = c + c + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11379*l**2*r*v**3 - 20*l**2*r*v + 325*l**2*v**3 - 2*l**2 - 2*r*v**2 + 1180*r*v + 2*v wrt v.\nAnswer: 68274*l**2*r + 1950*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 12*s - 13*s. Suppose -3*i**2 + 3*i**2 + i**2 + 6*i - s - 5*i = 0. What is i?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.017 and -8.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2. Let y(d) = 9103036*d + 2. What is y(i(n))?\nAnswer: 9103036*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*c - 15 - 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-12)\/(-10))\/(24\/(-405)) and 29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00057347 rounded to six decimal places?\nAnswer: -0.000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 396855253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 158556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 5, -9, -47, -121, -243, -425?\n\"Answer: -2*o**3 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (229\/(-687))\/(4\/108)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of 13*m**6\/360 - 43*m**5\/120 + 41*m**4\/24 + 35*m**2 + 2. Let o(z) be the second derivative of x(z). Differentiate o(s) wrt s.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2*m - 3. Let z(x) = -3*x - 5. Let a(j) = -7*y(j) + 5*z(j). Let s be a(-14). What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -56847, -56612, -56377, -56142?\n\"Answer: 235*c - 57082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 910 + -316. Does 99 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.14 and 13564598720.\nAnswer: 13564598720.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 6788269666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4184593*m - 2092318*m - 2092273*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30052, -60114, -90182, -120256, -150336, -180422?\nAnswer: -210514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -8*o**3 - 7*o**2 + 16*o. Let c(u) = 7*u**3 + 6*u**2 - 17*u. What is -7*c(t) - 6*d(t)?\nAnswer: -t**3 + 23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (c**3 - 2 + 2)*(-1 + 0 + 4)*(-322 - 17*c + 322) to n*c**3 + o*c + z + d*c**4 + f*c**2 and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 702312 and 3687138.\nAnswer: 14748552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (2*d + 0*d - 3*d)*(3*d - 2*d + d + d + d - 4*d + (4 - 1 - 1)*(4*d - 2*d + 0*d)) in the form s + r*d + m*d**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**3 - 14*h**2 - 4*h + 1. Let l(r) = -r**2 - r + 1. Let i(n) = -2*l(n) + p(n). Let w be i(12). Is -25 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 125 - 287 - 4*o**2 + 116 to the form f*o + y + m*o**2 and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6.263? (a) 10 (b) -0.13 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 0.4, -3\/2, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26)\/7 - (2 - 6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7654 + 7672. Calculate the remainder when 93 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, w: 2, u: 1, n: 1, a: 3, b: 5}. What is prob of picking 1 b and 1 a?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 2*l**2\/5 + 80*l + 390 = 0. What is l?\nAnswer: -195, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*l**2 + 3*l**3 + 4*l**3 + 3*l**2 - 10*l**3 to the form a*l**3 + j*l**2 + r + g*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/(-5))\/(82\/123*9\/15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + (-2)\/13 + (-90)\/(-78). Let l(v) = 22*v**2 - v - 2. Let j be l(-4). Are w and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -28, -61, -108, -169?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.028 + 0.1456.\nAnswer: 0.1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3433314 < 3433292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7987, -10006, -12025, -14044, -16063?\nAnswer: -18082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4269 divided by -2\nAnswer: 4269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*y - 65*y + 157*y - 54*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 2 - (30 - 33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(400) - (sqrt(400) - sqrt(400)*2)) + sqrt(400) - sqrt(400))\/(2*(sqrt(2) - sqrt(2)*2 - sqrt(2))).\nAnswer: -5*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is ((-3)\/3)\/(2\/(-206)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 2*x**3 - x**2 + 60. Let h be d(0). What is the units digit of 3\/4 + 21615\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -2143449 and -658260.47.\nAnswer: -2801709.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -97 - -94. Let n(w) = -w + 7. Let d be n(y). Solve -d - 10 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2112403 (base 5) to base 4\nAnswer: -20220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r + 12. Let h be x(-8). Solve 5*y - 4 = 2*w, -h*y + 5*y = 3*w - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3a6ba - 101?\nAnswer: 3a5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-269)\/(-3228))\/(((-153)\/(-48))\/((-12)\/16)).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54*l + 4*l**2 + 56*l - 9 - 110*l.\nAnswer: 4*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6192, 24744, 55656, 98922, 154536, 222492, 302784, 395406?\nAnswer: 500352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*y**2 + 3*y**4 - 3*y**2 + (-3*y - 11*y - 2*y)*(-5*y**3 + 6*y**3 - 7*y**3).\nAnswer: 99*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 22 - 19. Suppose i + i - 1145 = 3*g, -1115 = -2*i - r*g. List the prime factors of i.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2*a**2 - 3*a + 3. Let s be r(-4). Let l = 21 + s. Solve -l*o = -8*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from udbbmldbbllbmum.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -28, -42, -68, -106, -156, -218, -292?\n\"Answer: -6*p**2 + 4*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from omoyzfx. What is prob of sequence oo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 138 - 262. Let v = 505 + a. Let u = v + -380.9999781. Round u to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -342, -1161, -2754, -5379, -9294?\nAnswer: -14757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003363974 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 1\/8 (c) -2 (d) 7325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 195 a factor of 44022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 40 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 + 21*i**2 + 23*i + 166. What is f(-20)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is s in 3*s**3 + 28506*s**2 + 398643*s + 1394736 = 0?\nAnswer: -9488, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**2. Let z(o) be the first derivative of 0*o + 1\/12*o**4 - 6*o**2 + 0*o**3 + 22. Let x(a) be the second derivative of z(a). What is y(x(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-459)\/136*384\/72.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 75 and 103475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (8 - -9 - 7) + (-1 - -11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -22*i - 3. Suppose -4*c = 39 + 21. Let t be 3\/c - 28\/10. What is the tens digit of a(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/90 and 59\/3330.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is x in x**3 - 2455*x**2 + 4891*x + 36795 = 0?\nAnswer: -3, 5, 2453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from jjjenjenjjj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (sqrt(76) + (-2*(1*sqrt(76) - sqrt(76)) - sqrt(76) - sqrt(76)))) - sqrt(76))\/(sqrt(252)\/sqrt(7) - sqrt(4)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 6*k**3\/7 - 1332*k**2\/7 + 24114*k\/7 + 3636 = 0.\nAnswer: -1, 21, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**3 - 3*w**2 - 2*w - 2. What is the remainder when q(-3) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1091*k = 1104*k + 91 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 12662?\nAnswer: -3\/12662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 115713 is divided by 2755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttww when four letters picked without replacement from {t: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -7*k - 8. Suppose 4*t + 0*t = -s - 17, 0 = t + 3. Let r be i(s). What is the third derivative of -v - r*v**2 + v - 37*v**6 - v**6 wrt v?\nAnswer: -4560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 54 - -369404?\nAnswer: 369458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 97*d**2 - 2*d + 8. Suppose 5*r + 4*y + 5 = 0, 15*r - 1 = 13*r - y. What are the prime factors of j(r)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -326 - -440. What is the least common multiple of 38 and f?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 4, o: 3, c: 9}. Give prob of picking 1 o and 2 c.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -6*b. Let p(s) = 505673*s. What is w(p(r))?\nAnswer: -3034038*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 627742115 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10925*i**3 + 1195 - 1195 - 2*i + 2*i.\nAnswer: 10925*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 768, 1538, 2310, 3084, 3860, 4638, 5418?\n\"Answer: m**2 + 767*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -74 - -69.1. Let x = r - -0.9. What is the biggest value in -2, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13040975 is divided by 13040974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -51\/201373 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 1558*c**2 + 270*c - 1103. What is the tens digit of r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -20086, -35068, -50050, -65032, -80014?\n\"Answer: -14982*l - 5104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of (14\/(252\/(-27)))\/((6\/(-69200))\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1110 (base 3) to base 11\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(133)\/sqrt(175) - (-2 + sqrt(19) + 2 - (sqrt(931)*1 - sqrt(931))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-9))**(1\/5) assuming c is positive.\nAnswer: c**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -26373.687 and -0.1?\nAnswer: 2637.3687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*a - 9 + 12 - 3.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20514 is divided by 1283?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 218169 + -a72?\nAnswer: 2171a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4263126 (base 7) in base 8?\nAnswer: 1767042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 58 + 20. Let r be 2\/(-13150)*(-13)\/(m\/(-12)). Let s = r - -13364\/703525. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -32 + (-69 + 31 - -17) + 21.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 + -21012202?\nAnswer: -21012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + (1 - -28) + 6 - (1 + 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 3)*(3*h**4 + 0*h**4 - 5*h**4).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -38*m - 44*m + 501*m**2 + 82*m + 2365*m**2 in the form v*m + p*m**2 + t and give p.\nAnswer: 2866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2403333224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 2. Suppose -3*k - k + 132 = y. Is 33 a factor of k?\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 j when two letters picked without replacement from {b: 6, y: 5, j: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 8 = 2*a + 3*q, -4*a + 4*q = -12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -2*q**2. Suppose 4*t = 3 + 5. Let l(w) = -2 + t + 0*w - 7*w. Give l(k(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 46 - -43?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (352\/64)\/((-4)\/(-184)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h + 11*h = 2. Let k be (-2)\/h - (-1 + 2 + 0). Is 2\/13 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 415*d - 83. Let h(q) = -104*q + 19. Determine 9*h(t) + 2*n(t).\nAnswer: -106*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 - 1. Let y(m) = -8*m**2 + 3*m - 1. Let t(s) = 10*s**3 + 32*s**2 - 14*s. Let g(o) = -t(o) - 4*y(o). Determine g(p) + 6*q(p).\nAnswer: -4*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -5643, 90, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5*2*1\/(-1))\/(-4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -5*c**2. Let o(b) = 182 + 107230*b**2 - 107228*b**2 + 29. Calculate o(y(t)).\nAnswer: 50*t**4 + 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 12761600219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66 + 31 + (-4 - -26).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 75 (base 12) to base 7.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-22)\/187 + (-15262)\/34. Let q = 647 + r. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 - 7*t - 3. Let f be x(-6). Let r(u) = -u - f*u + u + 4*u. Let s(o) = 2*o**2. What is s(r(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -6932 smaller than -6932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -12f33ed3 + 3?\nAnswer: -12f33ed0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {r: 2, k: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnn when three letters picked without replacement from vrrrnnrnvnnrnnnvr?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 233813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 PM and 6:55 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*s + 352*s**2 + 228*s**2 + 361*s**2 + 76*s**2 + 2.\nAnswer: 1017*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1851 and 61087319?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 130 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k**3 - 5*k**2 - 47*k - 246. What is the least common multiple of q(-6) and 384?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (529\/(-7935))\/(8\/10 + -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1155 (b) -282 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -5*2\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -188591650.8 rounded to the nearest 1000000?\nAnswer: -189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0 * -6.92\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 4 + 28 = 0. Suppose 0 = -9*g + w*g + 8. Solve -l + g = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3805*n + 3774*n - 31 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5.097 + 0.487. Let u = 4.39 - t. Which is greater: u or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of -t**4\/16 + t**2\/8 + 4. Factor g(p).\nAnswer: -p*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from qwqttqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(2\/7))**2\/(m**(4\/3)\/m*m**(-1\/9)) assuming m is positive.\nAnswer: m**(22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -77 divided by 3207\nAnswer: -77\/3207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -27 (base 10) in base 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b + 24. Let l be k(23). What is the tens digit of (1 - l) + (2 - 822\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 2 y when four letters picked without replacement from yllolloyl?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -122928.9938 - -174161.7027. Let r = 51213 - u. Let y = r - -19.7. What is y rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 295853 + -830755277\/2808. Calculate the common denominator of 127\/390 and h.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -44 - -89. Suppose -g*k + 9 = -36*k. Which is bigger: k or 4\/105?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1568 is divided by 359.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 7*o. Let d be u(-1). Let q(z) = z**2 + 7*z + 5. Let y be q(d). Suppose 0*v - y*m = -v + 2, m + 10 = v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 - 8. Let c be ((-9)\/6)\/(-4 + (-52)\/(-16)). Suppose 0 = g + c*b + 2 - 13, 2*b - 31 = -5*g. Solve 0 = l*j - 5*z - 10, g*j + 5*z + 19 + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -6*j**3 + 265*j**2 - 40*j - 174. Let l be b(44). Solve 5*i + 5*c = -20, 2 - 5 = i + l*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 551, -0.5.\nAnswer: -5, -0.5, 551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 6558683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 883908, 1767853, 2651826, 3535827, 4419856, 5303913?\nAnswer: 6187998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.2, -59, -4992?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (15 + -16 + 4 + -10) - (0 - -75)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25972?\nAnswer: 2, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.6 - 1.4. Let s = 5690 + -62584\/11. Sort s, 2\/13, 17, w in descending order.\nAnswer: 17, s, w, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, 0.2, 68, -66.85?\nAnswer: -66.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*a - 45*a + 270 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 5*z + 126 = 109, 2*p = z - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 9 = -2*b. Let i(m) be the second derivative of -m**4\/12 - 2*m**3\/3 + 3*m**2\/2 - 2*m. Calculate i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, q: 1, z: 2, w: 3}. Give prob of picking 3 w and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 97 = -c + 293, -1181 = -3*c + 5*f. Let v = c + -3157\/8. Calculate the common denominator of v and -103\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ceu when three letters picked without replacement from cuuec?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 4*a = 3*a - 47, -b = -a - 19. What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 PM and 5:48 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -191 + 193. What is the greatest common factor of 7 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 430698?\nAnswer: 2, 3, 23, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1178155 is divided by 693?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 14834 and -3?\nAnswer: -44502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-48*g - 22*g - 19*g)*(-2*g - 1 + 1)*(-2 + 1 + 0).\nAnswer: -178*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand n**2 + 5*n**2 - 4*n**2 + (6*n - n - 3*n)*(0 + 0 - 2*n) + (2 - 3 - 1)*(1 - 4*n - 1)*((3 - 2 - 2)*(2 + 2*n - 2) - 33*n - 15*n + 17*n) + 0 - 2*n**2 + 0.\nAnswer: -268*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 - 20*h - 7. Determine a(-16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of 5*n**4\/4 - 10*n**3\/3 + 5*n**2\/2 + 46. What is k in h(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10271369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - 2)*8\/(-10). Let s = -9245 - -9236. Which is the closest to -2\/5? (a) s (b) k (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 5142 times -112\nAnswer: -575904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 - 12*j**2 - 3*j - 4. Calculate x(12).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3.27809 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -17750959, -17750936, -17750913?\n\"Answer: 23*k - 17750982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11111 - 1001101?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-2)*2*-1*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3 - ((-23)\/(-69))\/(1\/4))*6. Solve -3*b - 9 = -3*u, n*b = 4*b - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*b**3 + 28*b**3 - 19*b**3)*(-2 + 1 + 0).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(78)\/(sqrt(96)*2).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0.3 != -24\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 9225781 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + h + 30 = 0, 50 = 5*j - 0*j - 5*h. Let u = 11 - 6. Let m = u - j. Solve 5*a + 7*y - 3*y = m, -4*a = -2*y - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-410)\/369*2496\/2600.\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -443 + 442.6. Which is the fourth biggest value? (a) 1.1 (b) t (c) 1\/2 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 2*c + 5*d + 2, 2*c + 3*d = 0. Suppose -3 = -q, -2*w = -8*q + c*q + 345. Is (8\/6)\/((-10)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5.1 in 1.9, -3, -12, 0.11, 0?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 520 and 17828005?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 + 6. Let l = i - 6. Let a(h) = 5*h - 4. List the prime factors of a(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 133 - 139. Sort -4, q, 108 in ascending order.\nAnswer: q, -4, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 250 + -374. Let y = z + 121. What is the third biggest value in -4\/7, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 23\/9, -4\/3, -2\/23, 1\/3, 5, -1\/3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 74159 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.8 (b) -0.2 (c) 0.3 (d) -492 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1298.87 - -1359. Round t to 0 decimal places.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of -2*c**3\/3 + c - 352. Let x(u) = -530*u**2. What is x(g(i))?\nAnswer: -8480*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - ((5 + -3 + -3 - -12) + 41).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u**2 - 119860*u - 1795802450 = 0 for u.\nAnswer: -29965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -179 or -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -29*c**2 + 6*c + 7. Let r(h) = h**2 - h - 1. Calculate -6*r(u) - y(u).\nAnswer: 23*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, x: 1, w: 1}. What is prob of picking 1 x, 1 b, and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r**2 - 39384*r - 96943716 = 0.\nAnswer: -4923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 51465 by 73.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the first derivative of n**4\/12 - 4*n**3\/9 - n**2\/6 + 4*n\/3 - 7. Determine y so that x(y) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 48252 and 4.\nAnswer: 48252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 minus 3219?\nAnswer: -3219.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 2:42 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1015112137 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4645511435 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -4*m - 31. Let w be j(-9). Let h(p) = p**3 - 3*p**2 + 3*p - 9. Let l be h(w). Let d = -11 + l. Calculate the remainder when 87 is divided by d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 96 + 36. Let i = x - 79. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -36*j**3 + 2*j**2 + 30*j + 2. Let s(q) = 180*q**3 - 10*q**2 - 149*q - 11. Let x(p) = 11*g(p) + 2*s(p). What is the second derivative of x(m) wrt m?\nAnswer: -216*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes after 10:53 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 91. Suppose 2*s - a = l, 5*s - 2*l - 113 - 98 = 0. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 232 - 894ba?\nAnswer: -89288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*d + 31*d + 3*b - 1 = 0, 4*d - 4*b - 20 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x - 432 = -14*x. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -13*s**3 - 120*s**2 - 55*s - 250. Calculate m(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of r**4\/12 - 8*r**3\/3 - 18*r**2 + 8*r - 5. Let l(p) = 0. Calculate p.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j + 5. Let m be h(3). Suppose 1 + 5 = m*s. Suppose -p + 3*p + 20 = -2*n, s*n + 10 = p. Sort n, 5, 4.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3164490, -1, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 907 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2121 + 2121 - 54*c)*(-3*c**3 + c**3 - 26*c + 19*c + c**3 + 2 - 2 + (-2*c - c + c)*(1 + c**2 - 1) + (-3 - c + 3)*(3 - 3 - c**2)).\nAnswer: 108*c**4 + 378*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 + 21*u + 92. Give x(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.102 + 10.002. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - -7)*9350\/66. Calculate the remainder when 63 is divided by (3 - 1) + c\/50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-22)*l**(1\/13)*l)\/((l**(1\/15)*l)\/l**(2\/11)) assuming l is positive.\nAnswer: l**(-46778\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -26*s - 5. Let y(q) = -25*q - 5. Let v(a) = 3*l(a) - 4*y(a). Let h(g) = g - 2. Let c be h(6). Is v(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times 160\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 44603220 (base 7) to base 2.\nAnswer: 1110110000000001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13324152.\nAnswer: 2, 3, 43, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 741\/44 - 89\/11. Let m = 672 + -5355\/8. Calculate the common denominator of o and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9393900721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**3 + a**2 + a + 174. Let u be j(0). Let f be (-1)\/(-2) - u\/(-12). Solve -4*i - i = -f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -320a62 + 6?\nAnswer: -320a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 30129945 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -355 or 68?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (10 - 2*m - m - 4*m)*(2 - 3 - 3) to i + g*m and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(175) + -4 - sqrt(175)) + sqrt(175) + -4 + 0 + 0 + 6*(0 + sqrt(175)))**2.\nAnswer: -560*sqrt(7) + 8639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 4*m - 10, -3*m - 3*f - f = -20. Suppose -u = 111 + 125. Let i = u - -370. Calculate the smallest common multiple of i and m.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes before 1:43 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 67335384, 67335388, 67335392, 67335396, 67335400, 67335404?\nAnswer: 67335408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2406066.8680079 + 2406067. Let i = a + -0.132. What is i rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -3*j + 4*u, 9*u = 34*j - 29*j + 5 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*s - 4 = n - 19*s, -n + 4*s + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dniridddndniiii. What is prob of picking 2 d and 1 i?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 323729, 647465, 971199, 1294931, 1618661, 1942389?\n\"Answer: -q**2 + 323739*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 195 and 219609?\nAnswer: 1098045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (-1 - (2 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*z - 3*z - z + 224 = 0. Solve 43*n = 47*n + z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -4*u + 18. Let d be n(4). Solve d*j = 3*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5743.407 and -159?\nAnswer: -913201.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 16772.29 centuries?\nAnswer: 1677229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-20)\/(-2))\/(14\/49). Let x = k + -21. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 4*d = 2, 2163*d - 2159*d + 12 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from lvvvvvll?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 7, 1\/10, 0.5, 5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 206 - 202. Let b(w) = -w**2 - 55*w - 64. Let z(m) = m**2 + 55*m + 63. Let o(y) = j*z(y) + 5*b(y). What is the first derivative of o(q) wrt q?\nAnswer: -2*q - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, 3, 5830, 4224 in increasing order.\nAnswer: -5, -2, 3, 4224, 5830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - (10 - 3))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 0, 63.\nAnswer: -6, 0, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2312033 (base 4) to base 2\nAnswer: 10110110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 48 and 52.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 409*q**2 - 207*q**2 - 203*q**2 - 1837*q.\nAnswer: -q**2 - 1837*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 34512 = 3*t, 5*m - 98 + 88 = 0. List the prime factors of t.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2211220 (base 3) in base 11?\nAnswer: -1618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 3155 = 4*f, -48*f + d = -50*f + 1585. Calculate the remainder when f is divided by 144.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from orcrcroorcroo. Give prob of picking 1 r and 1 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*x + 12*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -720 - -719 - (-20 + -6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times -3900583.5?\nAnswer: 15602334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -14633097, -29266223, -43899349?\n\"Answer: -14633126*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*m - 2*z, 3*m = -m - 5*z - 12. Suppose 18 = m*a + a. Suppose -14 - a = -5*q. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/6*(12\/10)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 1845 + 549 = 0. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 6 + 24*p - 3.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 134388 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in eighty-five sixths of a hour?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 31 - 22. What is the remainder when 17 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (68\/(-25))\/((-12)\/(-30))*-5. Suppose 4*l + f = 106. What is the highest common divisor of 27 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y = 16*y - 190. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m - 189 = -221 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 164 = 2*x, -y + x + 10 = -33. Let g be 3 - (5 + y\/(-23)). Is 1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -116*p**3 - 47364*p**2 - 5*p + 83751.\nAnswer: -696*p - 94728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 1 + 0)*(-21035 + 496*m + 21035)*(12 - 2 - 3) to the form n*m + a and give n.\nAnswer: 6944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 105, 424, 729, 1020, 1297, 1560?\nAnswer: 1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 6*u**2 + 7*u + 3. Let t = -16 + 7. What is the remainder when (3 + -2)*(-1 - t) is divided by x(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 - 21. Let u = s - -8. Suppose u*x = 2*x - z - 15, -2*z + 5 = x. What is the remainder when 25 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-90140)\/45050 + 1*2. Let g = 78371\/18020 - r. What is the common denominator of g and -69\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/(l\/(l*l**(-1\/6)*l))))**(5\/9)\/((l**(1\/15)\/l)\/(l*l**(-22))))**(-20) assuming l is positive.\nAnswer: l**(11086\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 126*x + 754 - 5794 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -510 = -14*s - 295*s + 1035 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nwnyvwanaawyaqy. What is prob of sequence yyw?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**2 - 3*q**2 + 2*q**2)*(-q**2 + q**2 - q**2) - q**4 + 5*q**4 - 3*q**4 - 2*q**4 + 2*q**3 + q**4 + 3*q**4.\nAnswer: 5*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 4*w - 24. Let q be d(6). Solve -4*x + 17 = -3*y, 5*x - 10 = -q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -86 + 93. Let u(o) = 4*o + d*o + 0*o - 9*o. Let f(p) = -12*p + 0 + 0. What is u(f(a))?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - 7 - 17. Let t(w) = 7*w + w - v*w. Let a(r) = 4*r. Give t(a(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3011093 to the power of 1\/2, to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1533871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 114569938 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90 + 84 = -2*x. Let u be (-3)\/((-1 + -1)\/12). What is the highest common divisor of x and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 4*g + 20 - 7 = 0, 9 = -3*g. Does 18 divide s\/(-1*4\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -6*l**3 - 5*l**2 - 3. Let d(n) = 0*n + 3*n**3 + 0*n + 2 + 378*n**2 - 375*n**2. Calculate -5*d(i) - 3*v(i).\nAnswer: 3*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 310 a factor of 1197979178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -239*r = -247*r + 128. Let p(w) = -6*w. Calculate the least common multiple of r and p(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the first derivative of -2*i**2 - 12. Let p = -4 - -3. Calculate g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1101120 and 7440?\nAnswer: 1101120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**2 + 9 - 2 - 10 - 3 - 3*a. Let p be g(5). Solve -4*w + 5*w = p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 9135, 36473, 82007, 145737, 227663, 327785, 446103?\n\"Answer: 9098*r**2 + 44*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 2 + 1)*(-2*w + 6*w - 3*w)*(3*w**3 + 3*w**3 - 8*w**3).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 69302 divided by 6?\nAnswer: 34651\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - (-6 - 1)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**4\/7 + 663*l**3\/7 - 7290*l**2 + 216300*l - 1617000.\nAnswer: -3*(l - 70)**3*(l - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 43 - 43.34. Let p = c + 0.14. Let o = 2 - 2. Put -5, o, p in ascending order.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 4 = 3*b, 0 = 4*r + 5*b + 22. Let i(k) be the first derivative of -k**2\/2 + 3*k - 1. What are the prime factors of i(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*t - 7*t + 6935 = 191083. What is the remainder when t is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 238891, 25 in decreasing order.\nAnswer: 238891, 25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3\/463 - -2288\/4167. Let z = 7\/9 + s. Let u(t) = t**3 - 7*t**2 + 7*t - 3. Let w be u(6). Sort 0.1, z, w in increasing order.\nAnswer: 0.1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 - 859*f**2 - 5131*f - 72. Determine g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 13*g**3 - g**2 + 1. Suppose 3 = -0*q + 3*q. What is the remainder when 25 is divided by z(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g**2 + 16*g + 19. Let o(t) = -17*t - 7. Let s be o(-1). Let y(a) = -a**2 + 6*a + 24. Let j be y(s). What is the hundreds digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 17 in 0.5, 1\/5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 15*h**4 + 665*h**3 + 2835*h. Let r(y) = 3*y**4 + 166*y**3 + 709*y. Let k(d) = 2*l(d) - 9*r(d). What is the second derivative of k(m) wrt m?\nAnswer: 36*m**2 - 984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1222783 and 87153.\nAnswer: 2641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is f2 + 132?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 5*s - 33 = -19, y + 2*s = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -109 (b) 2\/25 (c) 5\/3 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 + 5*r**2 - 4*r - 2. Let d be u(-6). Let w = 1 - d. Find m such that -19*m**4 + w*m**3 + 3*m - m + 7*m**5 - 4*m + 0*m - m**2 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 82 (b) -2 (c) 1\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j**3 - 7*j**3 - 8*j**3)*(-4 + 4 - j)*(-4*j - 2*j + 4*j)*(1 - 1 + 1).\nAnswer: -22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 16 + -25 + 9 + (24 - 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 3*i = -152. Calculate the remainder when i is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 plus 280589?\nAnswer: 280586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 6366943734 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -2d413 (base 14) to base 6.\nAnswer: -2232321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/6)\/((-96)\/27 - -3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - -1 - ((-5 - -8) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 3*c**2 - 73*c + 30. Let g be d(22). Let i = -74 - g. What is the remainder when 139 is divided by i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of d*u + 68*d - 479*u wrt d?\nAnswer: u + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (2 + -2 - (-5 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iqsq when four letters picked without replacement from ppiqppsqipppzpkppps.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 25\/1666746 equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 37 = 4*t, -2*s + 0 = 2*t - 16. Suppose -4*i + t = -3. Let r be -1*17\/5 + i. Which is the third biggest value? (a) 0.1 (b) r (c) 4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/(1 + 3) + 2. Suppose 19 = -5*s - h, 7*s + 3*h = 3*s - 24. Sort y, s, 3.\nAnswer: s, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*k**2 + 17*k + 4*k**3 - 19*k - 18*k**2 in the form f + o*k + p*k**2 + l*k**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fnnffnnfffnqqfnff. Give prob of sequence qf.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2251.800020291 - -2251.8. What is j rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(7) + (-5*sqrt(7) - sqrt(7)) + (sqrt(70)\/sqrt(10)*6)**2.\nAnswer: -5*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9285728.287 + 9272686. Let u = a + 13049. Let z = -6.8 + u. What is z rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17\/12)\/((-20 + 19)\/(-4)) - 5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.371 + -0.029. Is s less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 2*y**3 - 7*y**2 + 8*y - 6. Let a be ((-36)\/(-33))\/(20\/110). Let c(r) = -4*r**3 + 13*r**2 - 15*r + 11. What is a*c(t) + 11*i(t)?\nAnswer: -2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*y**3 - 643*y**2 - 122335 wrt y?\nAnswer: -6*y**2 - 1286*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/(-9)*(-2 + 13 + -2). Solve -2*u = -2*f, -w*u - 4*f + 22 = -6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.75 - -2.5254.\nAnswer: -1.2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(2 + -2 + 2 + 3*sqrt(175)))**2.\nAnswer: 2160*sqrt(7) + 56844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -13*u. Let t(h) = -2*h + 24 - 24. Let s(y) = -18*y**2 - 509*y + 17*y**2 + 506*y. Let z(c) = -2*s(c) + 3*t(c). Give o(z(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((((sqrt(450) - (-1*sqrt(450) + sqrt(450))) + sqrt(450))\/(sqrt(6) + (sqrt(6) - sqrt(96)*1 - sqrt(6))))**2 - (2*sqrt(3) + 1 + -2 + -3)).\nAnswer: -12*sqrt(3) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 = -3*p + 2*q - 4*q, -5*q = p - 5. What is the greatest common factor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25443 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.0379 and 272?\nAnswer: 271.9621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 21427 + -43729\/2. Let s = 438 + k. Let -3\/2*u**2 - s*u**4 + 0 - 1\/2*u - 3\/2*u**3 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4717?\nAnswer: 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is ab81 - -1?\nAnswer: ab82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78*w**5\/11 - 280*w**4\/11 + 24*w**3 - 4*w**2\/11 - 54*w\/11 - 4\/11 = 0. Calculate w.\nAnswer: -1\/3, -1\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -4277 divided by 329\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 339\/5 (b) 1\/8 (c) 35 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 11919 (base 15) to base 3.\nAnswer: 2211212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-4)*(-5)\/((-50)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (167*t**2 + 18*t**4 - 167*t**2)*((-3 + 2 + 3)*(-t + t + 2*t) + 2*t - 3*t + 3*t + t + 2*t - t + 0*t - t - 3*t).\nAnswer: 72*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -15469\/12 - -1289. What is the nearest to -2 in v, 9, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 34, -1, -58, 67 in descending order.\nAnswer: 67, 34, -1, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1842804 divided by -921402.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -252300 - 219252 = -16*j. Suppose -2*r - 17809 = 3*h, -4*r - 4*h - 6140 = j. Round r to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -61367 divided by 10\nAnswer: -61367\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**2 - 8*v - 15. What is x(-11)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 3*n**2 + 14*n. Let o be v(-5). Suppose 6*i - 5*i - o = 2*x, 3*i = -x + 8. Let k = -0.02 - -0.22. Which is the closest to k? (a) -2\/7 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -5*u**2 + 9. Let f(y) = -59*y**2 - 17*y. Let s(h) = -7*h**2 - 2*h. Let w(v) = 6*f(v) - 51*s(v). Calculate w(r(x)).\nAnswer: 75*x**4 - 270*x**2 + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4026 + -1?\nAnswer: -4027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/6*3*(-3)\/1. Suppose 0*b = b, -z*b = -4*w + 484. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s - 8*s - 7*s**3 - 15*s + 5*s**3.\nAnswer: -2*s**3 - 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 631*-332\nAnswer: -209492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 28 = -2*q - 4*x, 5*q - 5*x = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*s**4\/3 - 599*s**3\/3 - 7450*s**2 + 1875*s.\nAnswer: -s*(s + 75)**2*(4*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0, 4984, 4, -5 in descending order.\nAnswer: 4984, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 23, 75, 169, 311, 507?\n\"Answer: t**3 + 15*t**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - i + 2163 = 0, 3*r = 5*i - 182 + 1463. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 615 = -135. Let o = -618 - -553. Let p = o - h. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 62505 and 474?\nAnswer: 9875790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (h**3 + h**3 - h**3)*(-4*h + 6*h + 20 + 23) to the form r*h**2 + t*h**4 + d*h + g + f*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.013 + 0.19954.\nAnswer: 0.18654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-10)\/(-15))\/((-4)\/(-72)). Suppose -m = -2*c - 0*c. Solve -11 = g - c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*b**3 - 4 + 4 + (0 + 3 - 2)*(0*b**2 - 2*b**3 + 0*b**2) - 3*b**3 + b**3 + 3*b**3 as k*b**2 + c + a*b**3 + u*b and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 + 25. Let c(d) = d**3 - 2*d - k - 16*d**2 + 19*d + 2*d**3 - 2*d**3. What is the remainder when 45 is divided by c(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2531879560564767173\/131433958524 - -2\/10952829877. Let p = -19280798 - v. Let w = -17297 - p. Calculate the common denominator of w and 59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -26.28536 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - d - 3*d**3)*(51 - 2*d - 2*d**2 + d - 49).\nAnswer: 6*d**5 + 3*d**4 - 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 99690761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**4 - 109*r**3 - 336*r**2 + 219484*r - 219040 = 0. What is r?\nAnswer: -40, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 6976296.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**4 + 0*z**4 + 4*z**4)*(-62*z - 18*z - 242*z).\nAnswer: -966*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3145 + 9504. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the first derivative of 6*y - 6 + 11\/4*y**4 + 0*y**2 + 5\/3*y**3. Let n(l) = -4*l**3 - 2*l**2 - 2. What is 3*g(j) + 8*n(j)?\nAnswer: j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2472942 - 1808*l**3 + 2472942.\nAnswer: -1808*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 50*v**3 - 23*v + 23. Let r(x) = 17*x**3 - 8*x + 8. Give -17*r(o) + 6*t(o).\nAnswer: 11*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 3*g**3 - 52*g**2 + 15*g + 35. Calculate m(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l - 5*t - 3779 = -20*l, 2*l = 3*t + 3781. Calculate the least common multiple of 516 and l.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**2 - 2*f - 40. Calculate k(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 2*l - 406 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 2*m + 6, 4*s - 2 + 10 = 5*m. Let g(j) = -j. Let n(k) = 49*k**3 + 28*k**2 + 2*k. Let h(w) = s*g(w) + n(w). Factor h(q).\nAnswer: q*(7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((v**2 + 4 - 4)*(-2 + 1 - 1) + (-4*v - 3*v + 5*v)*(3*v + 0*v - v) - v**2 - 1 + 1 - 10 + 10 - 4*v**2)*(-4*v + 2*v + v) + (0*v + 0*v - v**2)*(v + 2 - 2).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.23 and 5?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is d in 3\/2*d - 3\/4*d**2 - 9\/4*d**3 + 3\/4*d**5 + 0 + 3\/4*d**4 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 2.5 and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 37006, 73147, 109266, 145351, 181390, 217371, 253282, 289111?\n\"Answer: -2*d**3 + d**2 + 36152*d + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 203 a factor of 50600077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -299, -290, -275, -254, -227, -194?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -278*j - 281*j - 280*j + 6*j**2 - j**3 + 835*j. Let y be 6 + (1*-1)\/1. Give v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0760712007 rounded to four decimal places?\nAnswer: -0.0761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 995337?\nAnswer: 3, 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + -14 + 9 - (5 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 100, 88, 52, -20, -140, -320?\n\"Answer: -2*n**3 + 2*n + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, 4, 5 in descending order.\nAnswer: 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.05 - -0.05. Let w = y - -2. Which is the nearest to 0? (a) 5 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/590240 and 91\/14632?\nAnswer: 34824160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 452 = -4*t - 260. Let x = -171 - t. What is the smallest common multiple of 5 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1770 = 2*s - f, s = 3*s - 3*f - 1762. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9551 + -9556. Let q = -517\/7 - -73. Which is the smallest value? (a) z (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4690?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -10200, -11260, -12322, -13386, -14452, -15520?\n\"Answer: -r**2 - 1057*r - 9142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be -32 + 27 + (7 - 0). Suppose x*h - 1338 = -0*q + 2*q, -q + 2696 = 4*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*h**2 + 19*h**2 + 16 - 2*h + 7*h**2 + 8 + 0*h to the form o + v*h + c*h**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*v + 94*v = 1560. Let w(u) = -2*u**3 - 10*u**2 + 14*u + 13. Let l be w(-6). Calculate the greatest common divisor of l and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.881 + -0.881. Suppose y + c - 24 = -3*y, 5*c = -2*y + 12. Let q be (2\/4)\/((-15)\/y). Are q and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 16*s - 168. Give i(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17 or -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 7 = -5*b, 6*j + 3*b + 15 = 3*j. Suppose y = -2, 5*h + 4*y = -1 - 7. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the first derivative of 99*n**2\/2 - 320. Let y(j) = 259*j - 127*j - 130*j. What is w(y(g))?\nAnswer: 198*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 4*h = 1, 4*f + 0*h = -5*h + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 4533390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1241159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 25) + (58 - 50)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**4\/9 + 20*s**3\/9 + 46*s**2\/9 + 28*s\/9.\nAnswer: 2*s*(s + 1)*(s + 2)*(s + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/527226 and -85\/263613.\nAnswer: 527226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 323 and 18548123.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 5*h - 28 = 0. Let o(d) = 4*d**3 - 7*d - 4 + 2*d**3 + 6 + 13*d**2 - 4*d**3. Let j be o(-7). Solve j - h = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13299118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b**3 + 17*b**2 + 3*b - 18. Let s be j(17). Let r be s\/(-36)*-3*-4. Let g = r - -14. Solve 5*k + 31 = -4*d, 2*d - g*d + 5 = -3*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 13*x**2 - 14*x - 11. Let j(i) = 8*i**2 - 6*i - 6. Give 3*g(b) - 7*j(b).\nAnswer: -17*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 18732344203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 17 (b) 0.151 (c) 2 (d) -10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of -h**5\/5 + h**4\/12 - h**3\/3 - 27*h**2 - h. Calculate i(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 9063522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((5*-1*sqrt(204) + sqrt(204))\/(1*sqrt(1452) + sqrt(1452) + sqrt(1452)))**2 + 2.\nAnswer: 3266\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1700)*-1 + sqrt(1700) - ((sqrt(17) - (-2 + sqrt(17))) + -5) - (((sqrt(68)*-3 + sqrt(68) - sqrt(68)) + sqrt(68))\/sqrt(4) + -4).\nAnswer: 7 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 262*r - 501*r + 655*r + 865*r = 103761 for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 71733.63ml in litres?\nAnswer: 71.73363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 203 a factor of 521304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 11*850\nAnswer: 9350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 371.1901 milligrams?\nAnswer: 0.0003711901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -23 + -1 - (15 + (-25 - ((-14 - -25) + -31)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*n = 17*n + 360. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16048 divided by -68.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.56598 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 7830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 24207673211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -16 (b) 0.5 (c) -1\/3 (d) -2\/9 (e) 2 (f) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 21.0169 to 1 decimal place.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (c + 4*c - 3*c)*(-1 - 4 + 1)*(6*c**3 - 4*c**3 + 0*c**3 + (4 - 2*c**2 - 4)*(-c - 2*c + c)) in the form y*c**4 + u + j*c + b*c**3 + a*c**2 and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1379*h - 12 = 1376*h. Solve -h*w = 2*p - 22, -9*w + 8*w - 17 = -4*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 480 and 3072.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-42)\/4 + 0)\/((-2154)\/1436).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 979630562 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/4986 and 101\/5540.\nAnswer: 49860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*g + 1188 = -23*g. Calculate the highest common divisor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 2*u + 5. Let l(j) = -j + 1. Let z be l(5). Let g be f(z). Let c(o) = -2*o**2 - 4*o - 2. Determine c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -3*c - 28 + 508, -4*p - c + 384 = 0. Calculate the highest common factor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*v - r = 2*v + 38, -2*r + 15 = 3*v. Suppose -5*j + v*j = 20. Calculate the least common multiple of ((-12)\/(-4) - -4) + -1 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 51040945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/4 + (5325\/330 - 16)\/((-2538)\/(-36707)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -172 * 0.148.\nAnswer: -25.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 54 = 3*s, -4*k = -3*s + k + 63. Let m be 1\/(-1)*-3 - 4. Let r be ((-1)\/3)\/(m\/12). Calculate the highest common divisor of r and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1715.809 decades?\nAnswer: 17158.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*3*sqrt(133) + -1*sqrt(133)*6)\/(((sqrt(56) - sqrt(6776)*1) + sqrt(56))\/(sqrt(24)\/sqrt(3)*-6)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let o be 3*((-348)\/(-9))\/2. Let n be 201\/7 - (5 + (-185)\/35). What is the greatest common divisor of o and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -m**2\/3 - 12*m + 76\/3 = 0.\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -16, 2, -5, 3, 645?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -244*y + 154*y - 180 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15 + -7. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, y: 3, o: 1}. Give prob of sequence oy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {r: 7, t: 1, q: 6, y: 2, k: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 8212330 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7569 + -7566. What is the greatest common divisor of f and 409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 3 = -4*y, 2*y - 4*h = -y - 7. Let m = -0.065417 - -0.085417. Which is the nearest to 1? (a) y (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1184349, -2368429, -3552509, -4736589?\nAnswer: -5920669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -4*z**2 - 756*z - 14112 = 0.\nAnswer: -168, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -7\/24 (b) 1645 (c) 14 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, y: 1, x: 2, p: 1, o: 1, z: 1}. Give prob of sequence yz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-10))\/((-388)\/(-2910))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 41 + -3.1.\nAnswer: 37.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 497*c + 7 = -500*c, 9 = -3*k + 3*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*p - 117 = -127 - 47 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1191415 = 101*y + 1187981 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 287302\/5 not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -13, -1, -50, 2, -42, -5 in descending order.\nAnswer: 2, -1, -3, -5, -13, -42, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/19795 or 1?\nAnswer: -2\/19795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*t**4 + 56879*t**3\/3 + 3592451*t**2\/3 - 355216*t\/3 - 18172 = 0.\nAnswer: -354, -77, -1\/12, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 3*w = -31 + 10, 0 = -3*x - 4*w - 11. Suppose 0 = x*j - j. Let m be (-6)\/2 + 35\/15 + 2. Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 - 4*j**2 - 5*j - 3. Let m be h(-3). Suppose -m*x + 236 = -x - o, 2 = o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -3062 and -3063 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ucencuntj. Give prob of sequence eu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/5, -2442, -1, 1\/3, -2\/103 in ascending order.\nAnswer: -2442, -1, -3\/5, -2\/103, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 65561.55 minutes in hours?\nAnswer: 1092.6925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -9*i**3 + 9*i**2 - 15. Let f(w) = -5*w**3 + 5*w**2 - 8. Determine 7*f(o) - 4*h(o).\nAnswer: o**3 - o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -5.8, 451 in descending order.\nAnswer: 451, 0.4, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*r - 109*r = -4*b + 38, 2*r - 5*r + 3*b = b + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of -5*p**4\/2 + p**2\/2 - 22*p. Give r(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 - 2*x**2 + x + 1. Suppose 4*u + 113 = 2*t + 3*t, -5*u = 4*t - 74. Let g = t - -17. Suppose 0 = 37*o - g*o + 2. What is k(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 947 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3.429226km in micrometers?\nAnswer: 3429226000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*t + 99 = 363. Suppose 1 + t = b. Suppose 2*u - u = 5. Solve 3*j - u*z - b = -0*z, -2*j = 2*z + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1\/3, 3577, 2\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 175 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -2*s**2 - 20*s - 3. Let o(r) = 3*r**2 + 30*r + 5. Let z(g) = -5*g**3 - 2*g**2 + 2. Let b be z(-1). Let l(c) = b*o(c) + 8*k(c). Determine l(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z + 6 + 16. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeeeeeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of -g**8\/1344 - 11*g**7\/840 - 7*g**6\/80 - 9*g**5\/40 + 9*g**4\/32 + 27*g**3\/8 + 2*g**2 + 1. Factor l(r).\nAnswer: -(r - 1)*(r + 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*z**3 - 5 + 5 + (-3*z + 3 - 3)*(2*z - z + z)*(6 - 5*z - 4 - 1) in the form c*z**3 + b*z**2 + t + r*z and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 587958 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 141747 by 2.\nAnswer: 141747\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 14.87 to one dp.\nAnswer: 14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from -51692.\nAnswer: -51696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5 + -6. Let n = -233 + 230. Which is the second smallest value? (a) -1\/3 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 739, 1481, 2223, 2965, 3707?\nAnswer: 4449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the first derivative of -25*j**4\/4 - 35*j**3\/3 - 5*j**2 + 15. What is f in a(f) = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4*((-132)\/(-4 - 7) + -13). Let s = 0.3 - 1.3. Which is the closest to 0? (a) i (b) -21 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**2. Let y(j) be the first derivative of j**2\/2 + 4. Determine y(m(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 196 - -116?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -101670000 to the nearest one hundred thousand.\nAnswer: -101700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1978\/27 - -2050\/27. Let a(p) be the first derivative of -p**4 + h*p**3 - 32*p + 14 + 8*p**2. Factor a(d).\nAnswer: -4*(d - 2)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hcpjprpjhh. What is prob of picking 1 j and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 22.00142 - 22. Round l to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -4 + 9 + -18 - (-81 - -112)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**3 - 3*u**3 + 6*u**3)*(-22*u**2 + 7*u**2 + 2*u**2) - u**5 - 3*u**5 + u**5.\nAnswer: -29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) -1\/408 (c) 140 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.3, -741, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 891709 and 478.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + y + 90 = 0. Let n = -1 - y. Let j(b) = b**2 - 8*b + 10. Let l be j(7). Solve -4*g = -x - n, -l*g + 0*x = -5*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**2 - 314*k - 24649.\nAnswer: -(k + 157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -43857.9245 to the nearest integer.\nAnswer: -43858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 1 + 4)*(1 + 2 + 1)*(13*k + 12*k + 8*k) to b*k + u and give b.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -131 in 0.1, -2\/69, -1\/2, -2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l + 6, -5*l = -5*i - l + 12. Solve 0*t**2 - t - 2*t**2 + 2*t + i*t**2 = 0 for t.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 + 3)\/((-2)\/(-6)). Let f = 3 - j. Solve f = 3*b - 2*c - 19, -b - 3*c - 17 = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2268270 greater than 2268270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1\/23542 - 19704647\/164794. Which is smaller: -120 or w?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 12, -55.8 in decreasing order.\nAnswer: 12, 3, -55.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - 6)*(-50)\/875?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 2*i**3 - 29*i**2 + 26*i - 8. What is the units digit of d(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 t, 1 a, and 1 y when four letters picked without replacement from {t: 1, p: 5, z: 1, b: 1, y: 1, a: 11}.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 650441?\nAnswer: 11, 29, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 6:57 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 270 - 159. Let p(w) = 3 - g*w - 93*w + 170*w. Let x be p(-6). Calculate the greatest common factor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u\/u**(-5)*u**(7\/3)\/u*u*(u**0)**19 assuming u is positive.\nAnswer: u**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 8 times 22089\nAnswer: 176712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/11 (b) 2 (c) 1.4 (d) 2\/17 (e) -68\/7 (f) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -242*d**5 - d**4*z - 2*d**3 - 11653*d*z wrt d?\nAnswer: -4840*d**3 - 12*d**2*z - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 40167*v - 20964 wrt v.\nAnswer: 40167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -50554 (base 8) to base 14\nAnswer: -784c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 50.18663 kilograms?\nAnswer: 50186630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 138650551?\nAnswer: 13, 10665427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 210 + -2?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 337447*c**2 - c + 541233 wrt c?\nAnswer: 674894*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/10*2*2*(1015\/14)\/(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5.5244 - 0.0556. Let y = x - -1.58. Put -1, y, 1 in ascending order.\nAnswer: y, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-442)\/(-70) - (0\/(-7) - -1). Let u = g + -33\/7. Which is the nearest to 4? (a) -0.3 (b) 0.08 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - (-2 + -684 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 3*u + 4. Let k be 4\/(-5)*(-30)\/4. Let c be (-3)\/k*(1 + -1). Suppose c = 5*w - 3*d + 9, d - 4 = -2*w + 4*w. What is j(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 12*r**2 - 32987. Let u(i) = 6*i**2. Determine k(u(p)).\nAnswer: 432*p**4 - 32987","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/2)\/(4\/24). Suppose -2*x - 32 = -4*v, -3*x = 3 + j. Suppose v*p = -5*l + p + 660, -2 = -p. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -510877*j**2 + 514248*j.\nAnswer: -1021754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1485482, -2970975, -4456468, -5941961, -7427454, -8912947?\n\"Answer: -1485493*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 i, 1 w, and 1 n when four letters picked without replacement from issnwzix?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -88.7 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c**3 + 3*c**3 - c**3)*(1 + 2 + 2)*(4*c - 7*c + 12*c).\nAnswer: 90*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 4*y. Let j(h) = 1 - 1171*h**2 - 1 - 1266*h**2 + 1745*h**2. What is i(j(x))?\nAnswer: -2768*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 907754987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 197*v**2 - 12*v - 24. Let c(z) = 51*z**2 - 3*z - 6. Let p(t) = 23*c(t) - 6*s(t). Let k(g) = -5*g**2 + 2*g + 3. Give 5*k(i) - 3*p(i).\nAnswer: 2*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0376 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (977 - 1)\/((-2)\/7). Let i(d) = -2*d**2 - 126*d + 171. Let t be i(-72). Let a = t - g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 273*v - 269*v = -5*b + 152569, -2*b + 4*v = -60994. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 + 0 + (8 - 1 - 5)*(1 + 2 - 4))*(-125 - 13105*f - 2*f**2 + 13105*f) as o*f**2 + b*f + a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**3 + 9*s**2 + 30*s - 4. Is 15 a factor of w(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2892 and 4097.\nAnswer: 49164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 1048, -1, -3, 5 in descending order.\nAnswer: 1048, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 452.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 1 = q, 0*q = 2*q + 2*f - 12. Calculate the lowest common multiple of q and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 + 453. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 700331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-13))\/(w*w\/((w*w*w**(3\/2)\/w)\/w)*w*w)*w**(-13)*w*w**13 assuming w is positive.\nAnswer: w**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add -4.54 and -5.\nAnswer: -9.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 993 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/27 - ((-7)\/9 + 1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -5*u**3 - 5*u**2 - 8*u. Let j(n) = -n**3 + n**2. Let p(i) = -3*j(i) + s(i). Find a, given that p(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -143\/6 and -85\/1032692.\nAnswer: 3098076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a37653 + -157?\nAnswer: -a377aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in -1, -6, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119 = -5*q - 4*u + 544, -q = -3*u - 66. Calculate the least common multiple of 540 and q.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 74 - 73.7. What is m rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - 112 = 24*o, -5*o + g = 183 - 160 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + 2. Let z = s - -5. Let g(f) = f - 9. Calculate the remainder when z is divided by g(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420074.094 rounded to the nearest 100?\nAnswer: 420100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9900522?\nAnswer: 2, 3, 183343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -266 - 187 = -3*h. Let v(g) = h - 151 - 3*g. Let d(c) = -2*c**2 - 2*c**2 + 3*c**2. Give d(v(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -i**2\/2 + 4269*i\/2 + 17108 = 0.\nAnswer: -8, 4277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(10\/((-30)\/(-21))). What is the second biggest value in t, 14.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -8, -27889, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + 2)*1*(-5 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d + 30 - 69 + 17 + 37. Determine a(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*b - 650 - 935 - 3*b + 2512 - 927.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - r - 90 = 0, -4*y + 2*r - 82 = -r. Let z = -16 - y. Calculate the smallest common multiple of 7 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 13a - -6?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -18 (base 14) to base 2.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 - 10*p**2 - 7*p - 15. Let t be g(11). Let f = 51 - t. Factor 1 - f + 5*z**2 + 11 + 0*z - 5*z.\nAnswer: 5*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2 and 56774.\nAnswer: 56774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -197*t - 66358 = -201*t + 2*v, -2*t = -4*v - 33176. Is 128 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (9 + 4 - 14)*10\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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 hundred thousands digit of 754497158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 4, b: 5, o: 7}. Give prob of sequence kkok.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (18*i - 77 + 77 + (-2 + 2 + 2)*(2*i - i - 2*i) - i + 2*i - 2*i + 2*i + 2*i - 5*i)*(40 + 83 + 81 + 79) in the form u*i + w and give u.\nAnswer: 3962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 233001333 (base 4) in base 8?\nAnswer: 570177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wffw when four letters picked without replacement from {l: 5, w: 8, f: 7}?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3715 is divided by 286?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zie when three letters picked without replacement from hhizez.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b**4 - 188*b**3 - 12*b**2 + 556*b + 376 = 0. What is b?\nAnswer: -1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 40416 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: Suppose -29*u = -33*u - 144. What is the common denominator of -59*1*(-1)\/(-54) and (-45)\/(-60) - (-753)\/u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 647 is divided by 62?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y - 5*y - 5*y)*(-3 - 10 + 0) + 10*y + 19*y - 4*y.\nAnswer: 103*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-64)*-350*(-748)\/935\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 855 and 2052?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*a - 24*a + 129 = 20*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -104 + 185. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 23266654 and -0.03.\nAnswer: -697999.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of x**6\/30 - x**5\/5 + 5*x**4\/12 - x**3\/3 + 7*x. Factor p(w).\nAnswer: w*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 144780 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 5*n = -10, -11 = 4*y + n - 33. Suppose 3*s + 9 + 3 = 0. Put y, s, 1 in decreasing order.\nAnswer: y, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6730 is divided by 379?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of -5*x**4\/24 - 81*x**2. Let y(b) = 14*b**2. Give s(y(j)).\nAnswer: -70*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1855466 times -202\nAnswer: -374804132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14336?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 1311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 - 50*o + 111. Let q be g(-49). Suppose -q - 2 = -9*n. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 31? (a) -3 (b) 0.714 (c) 1.2 (d) 2 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of 2*d**2 - 244266*d - 112 + 244266*d. Let a(s) = 8*s + 3. Let j(v) = -v - 1. Let q(c) = a(c) + 3*j(c). What is g(q(t))?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.94 - -0.06. Let n = 0.16 - 0.2. Let x = n - 0.36. What is the closest to -1 in q, -2\/19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*p + 38*p = -207*p + 2835 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2 + 5*y - 5. Let w(o) = 1. Let a(n) = b(n) + 2*w(n). Let x be a(-6). Let d(p) = -x*p - 5*p - 2*p. Let q(c) = 2*c**2. Determine q(d(t)).\nAnswer: 200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(2\/7))**(8\/5))**(2\/69)*(z**(-2\/5))**41*(z\/(z\/z**(-2\/5))*z)**(-2\/9) assuming z is positive.\nAnswer: z**(-39896\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, m: 3, q: 1, w: 1}. What is prob of picking 1 x and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jaa when three letters picked without replacement from {t: 3, o: 3, s: 1, j: 1, u: 3, a: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(240)\/(-2*sqrt(8)))\/(sqrt(10) + sqrt(120)\/sqrt(48)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 + 9*a**2 - 10*a - 8. Let r be o(-10). Let q be 2086\/22 + r\/(-44). Calculate the greatest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 840 is divided by -8*6\/(-216) - (-6)\/((-162)\/(-2559))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of -t**7\/280 + t**5\/10 - 25*t**3\/3 - t**2\/2 + 76. Let g(n) be the third derivative of l(n). Factor g(u).\nAnswer: -3*u*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-32) - ((-17)\/((-18768)\/(-17227)) + 19)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20847, -25946, -31045, -36144?\nAnswer: -41243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (6 - (4 + -1) - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -24 (b) -0.2 (c) 1 (d) -1 (e) 46 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that w**3\/7 + 57*w**2\/7 + 260*w\/7 = 0.\nAnswer: -52, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8\/335 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 17 - 8. Suppose 4*m - 4*w - 204 = 0, 46 = 2*m + 2*w - 68. Suppose m = -6*g + f*g. Are g and 17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 5309*w - 31844. Give v(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13398116, -26796221, -40194326, -53592431, -66990536?\nAnswer: -80388641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -8*p**2 + 1. Let h(i) be the first derivative of 0*i**3 + 1\/12*i**4 - 3 + 2*i + 0*i**2. Let u(r) be the first derivative of h(r). Give q(y) + 6*u(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -47 + 46.7. Which is the nearest to 0.2? (a) 0.1 (b) 2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8411*h**2 + 174*h**3 + 8406*h**2 - 25228*h**2 + 8411*h**2.\nAnswer: 174*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 AM and 1:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 10:25 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -600144 (base 7) in base 16?\nAnswer: -18a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 153182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + (-6)\/21 - (-46)\/14. Suppose -20 = -3*i + f*l - 5, -3*i + 19 = -5*l. Solve 6*t - y = 2*t + 4, 0 = i*t - 4*y - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 + -5. Solve t - 16 = -d*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 204131001 - -1?\nAnswer: 204131002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v + 5*j - 3, 3*v + 0*j - 30 = 4*j. Calculate the greatest common divisor of 18 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 + 6*z**2 - 40*z + 686. What is the thousands digit of n(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -629*a + 704 - 3459 - 2556 + 185*a - 11117 - 3*a**2 = 0.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -147, -159, -171?\n\"Answer: -12*o - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -307 divided by -4676?\nAnswer: 307\/4676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -122212011 (base 3) to base 8.\nAnswer: -31332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - -40250b?\nAnswer: 402509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -16295*z + 368*z**3 + 30*z**4 + 16295*z - 29*z**4 - 6*z**2 as k*z**4 + d*z**2 + u*z + i + y*z**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -2003 greater than -558650\/279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 AM and 11:42 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1001 (base 2) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = 4*x - 73. Suppose k - 1744 = -x*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -23050341?\nAnswer: -23050343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*l**2*q*y + 11*l**2*q - 96*l*q*y - 2*l + 3*q wrt y.\nAnswer: -2*l**2*q - 96*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 1748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the third derivative of n**4\/12 + 37*n**3 - 4*n**2 + 2. Let o(k) = k**2. Calculate o(g(y)).\nAnswer: 4*y**2 + 888*y + 49284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d + 145 - 21. Suppose 0 = 2*f + 3*f + 4*n - d, 5*n = -f + 23. Solve 0*p + f = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -2924*l - 4. Let m(z) = 963*z + 1. Calculate 2*a(u) + 7*m(u).\nAnswer: 893*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/13 in -3, -0.3, -0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d - 20 = -2*u + 10*d, u = 3*d + 14. Let h be 38\/4 + 2\/(-4). Solve -5*g + u*g = h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1082, -1083, -1088, -1097, -1110?\n\"Answer: -2*q**2 + 5*q - 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - -6 - -6) + 2 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2968469428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 618 divide 678564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*t - 38392 + 19195 + 19201.\nAnswer: -5*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -19 divided by 67807\nAnswer: -19\/67807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4018 + -2884. What is the greatest common divisor of 27 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f - 3. Let k(s) = 1. Let q(o) = c(o) - k(o). Let t be q(-9). Solve -t*w = -0*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29374*x - 120 = -29314*x. What is the third smallest value in 69, 0.18, x?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 67033214 to the nearest integer?\nAnswer: 8187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (-3 - (-7 - 1)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**4 - 2*r**4 + 4*r**4 + (3*r**4 - 2*r**4 + 0*r**4)*(0 + 0 - 2) + 3*r - r**4 - 3*r)*(-97*r + 459*r + 166*r).\nAnswer: -2640*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 10712595 divided by -6?\nAnswer: -3570865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/(-1))\/(-6*6\/126). Let l(n) = n**3 + 14*n**2 + 4*n + 76. What is the lowest common multiple of l(d) and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 0*p**3 - 47*p - p**3 + 41*p wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 764430 is divided by 2316.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 67 divided by 6.\nAnswer: 67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lftfbttlifltiffbf. Give prob of sequence ttil.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*m**3 + 84 + m**3 - 84.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 28920 + -12551. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1 - 1. Which is the nearest to h? (a) 5 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g + z + 23 = 0, 0*z - 39 = -2*g - 5*z for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2281488 and 475310?\nAnswer: 11407440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -8*i - i - 2 - 3*i. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 17 and 311.\nAnswer: 5287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 PM and 1:00 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.115796 from 11306796695.\nAnswer: 11306796694.884204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**3 - 5*m - 5. Calculate g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -12585 - -161?\nAnswer: -12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1028106 and 29643?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o + 4. Let n(x) = -115*x - 154. Let h(m) = n(m) - 2*u(m). Differentiate h(l) with respect to l.\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 311 and 66957.\nAnswer: 20823627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -202, -164, -82, 50, 238, 488, 806, 1198?\n\"Answer: p**3 + 16*p**2 - 17*p - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 - 9. Solve -22 = -t*r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2.7, 5\/9, -116.\nAnswer: -116, 5\/9, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (3 - (-2961)\/(-938))\/(-3) and 95\/6.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.926 - -0.074. Which is the nearest to 1? (a) -0.4 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 + -512297081\nAnswer: -512297112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {q: 2, f: 1, u: 1, o: 2, d: 2, s: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -183 - -188. Let p(o) = 5*o**2 - o. Let a be p(1). Put -6, f, a in descending order.\nAnswer: f, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/19668 and 155\/84.\nAnswer: 137676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of -r**6\/15 + 2*r**5\/25 + r**4\/30 - r + 45. Factor y(k).\nAnswer: -2*k**2*(k - 1)*(5*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 + 0 + -3 + 2. Suppose f*v - 10*a + 6*a = 78, -5*v - 2*a = -156. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 207430709*s**5 + 109*s - 27170.\nAnswer: 4148614180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*g - 27 = -49 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1*(1*-6)\/2. Let r = -37348 + 37348. Which is the closest to g? (a) 2 (b) 0.07 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44.625 at most 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the third derivative of 3*s**8\/56 - 11*s**6\/120 + s**5\/15 + 233*s**4\/8 - s**3\/3 - 3*s**2 + 490*s + 3. What is the second derivative of t(f) wrt f?\nAnswer: 360*f**3 - 66*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.157 + 436?\nAnswer: 435.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14 + 15. Let v(m) = m - 7. Let t be v(6). Does 8 divide (-1)\/t - f*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*b*i**3*v - 32*b*i**2*v**2 - b*i*q*v + b*i*v**2 - b*q*v**2 - 22*i**3*q*v**2 wrt q?\nAnswer: -b*i*v - b*v**2 - 22*i**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 616272 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**2 + 3*m + 5. Is 13 a factor of i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1164\/18)\/(2\/15). Suppose d = -3*f + 117, -5*d + 0*d + 5*f = -w. Let h = 176 - d. What is the remainder when h is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -4529, -15798, -33809, -58562, -90057, -128294, -173273?\n\"Answer: -3371*u**2 - 1156*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dtmtbtbtbtmttbo. What is prob of sequence btdb?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 175415502?\nAnswer: 2, 3, 307, 95231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 161736 - 91476. What is i rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-903)\/((-5176899)\/(-7098)))\/(1*1\/(-6))\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -634097*j - 5387434 wrt j.\nAnswer: -634097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 12*r - 453. Let l be j(37). Let u(p) = -p**2 - 7*p + 14. Calculate u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4.9 - -0.9. Let u = c + 4.1. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102 is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be -7 + 1 - 56\/(-6). Find v, given that -6*v - 2*v**2 + 0 + a*v**3 - 2\/3*v**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = 3*j - 79, -2*g = -2*j - 3 + 51. Let i(s) = 23*s + 1. Let w be i(1). Are w and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**(4\/3)*g*g))\/g*g\/(g\/(g\/(g\/(g*g\/(((g\/g**(-1))\/g)\/g))))*g))\/(g\/(((g*g\/(g**(-1\/14)\/g))\/g)\/g*g*g)*g*g**(-1\/12)) assuming g is positive.\nAnswer: g**(-61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -100 + 71 + -8 + -64\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/666 and 97\/22422.\nAnswer: 67266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 6b5 (base 12) to base 5.\nAnswer: 13001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4103 divided by -4.\nAnswer: 4103\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3710?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 266392, 266390, 266388?\nAnswer: 266386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 4 + (7 - (14 + 3)) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q + 4. Let p be g(-5). Let a be (-1)\/p + (-5 - 1). Let x = a - -16. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2, -50, -102, -154, -206?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 422116?\nAnswer: 2, 105529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -38 + 18. Let y = 375 - 375. Suppose 7*z - 4*z = 5*n, 3*z - n + 12 = y. Put 3, k, z in decreasing order.\nAnswer: 3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36 - -38. Solve m*k = 1 + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 + 3*f - 3. What is the least common multiple of n(-6) and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1462 + 1464. Solve 3*q = s + x*q + 3, 2*s + 18 = -4*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 10*s**2 + 2*s - 2. Let n be v(2). Suppose -3*z = -5*z + n. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0\/((-6)\/(-1 + 4)). Sort 4, -6, d in ascending order.\nAnswer: -6, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -2*a**3 - 2*a**2 + 2*a. Let c be i(-2). Let r be ((-2)\/c)\/((-5)\/40). Solve 16 = -r*k, -k - 9 = 3*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34107 - 123141 = 32*m. Is -4914 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12885, 25747, 38595, 51423, 64225, 76995, 89727?\nAnswer: 102415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6\/89? (a) 0.2 (b) -2\/3 (c) 0.0479 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 113 (base 12) in base 5?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 68 divided by -4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -104 minus 9?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the second derivative of 2*j**5\/5 - 5*j**4\/12 + 5*j**3\/6 + 5*j**2\/2 + j. Let k(a) = 4 + 16*a - 10*a + 2 + 9*a**3 - 6*a**2. What is -5*k(l) + 6*u(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 321319264?\nAnswer: 2, 7, 204923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of u**6\/6 + 25*u**5\/2 + 1165*u**4\/12 + 910*u**3\/3 + 450*u**2 - 2*u - 673. Determine j so that k(j) = 0.\nAnswer: -45, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4102 and 281280?\nAnswer: 1968960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Is -215\/4 greater than -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 29563, 29570, 29581, 29596?\n\"Answer: 2*u**2 + u + 29560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 9*c**2*x**3 + 4362*c**2 + 2*x**3 + 3*x**2 - 7275 wrt c?\nAnswer: 18*c*x**3 + 8724*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = 5*m - 2*o, 5*m = -5*o + 137 - 172 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - b + 6 = -4, -2 = -v - 3*b. Let h(l) = -2*l**2 - 2*l - 4. Let u be h(v). Do u and -28 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -769775 to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 240, -1\/6, 5, 0.4?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/20 and -10 - 5 - 343\/(-21).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g**4 + 67*g**3 + 1088*g**2 - 1156*g = 0. What is g?\nAnswer: -34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1884 divided by 1.\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, e: 3}. Give prob of sequence eb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.01, -2\/83, 2\/15, -2, 0.1 in decreasing order.\nAnswer: 2\/15, 0.1, 0.01, -2\/83, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -28 - -13. Let i = 2404 - 2404. What is the closest to -1\/3 in f, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*b - 5*b + 25 = 0, s - 102 = 4*b. Let i = s + -82. Find f, given that -6\/5*f**4 + i*f - 3\/5*f**5 + 3\/5*f**3 + 0 + 6\/5*f**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 69*o**2 + 57*o**2 - 9 + 10 as q*o**2 + m + g*o and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 2*n = 9, -2 - 3 = g + 3*n. Is (-16 - -6)*-1*g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the second derivative of -85*k**7\/14 + 293*k**3\/3 + 266*k. What is the second derivative of t(j) wrt j?\nAnswer: -5100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Put -1940, -183925, -3, 2 in descending order.\nAnswer: 2, -3, -1940, -183925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 239554.5437 rounded to the nearest ten?\nAnswer: 239550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1015043 (base 7) to base 13.\nAnswer: 4358c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 11001110111001010110 (base 2) to base 12\nAnswer: 34a506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -17852 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 13 = -10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.7 and -0.18.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2543 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/(r\/r**(2\/17))))\/((r**(-2\/5)\/r)\/r)*((r*r\/((r\/((r**(-2)\/r)\/r))\/r)*r*r*r)\/r)\/r**(-3))**(-2\/9) assuming r is positive.\nAnswer: r**(-356\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 4136, -24 in decreasing order.\nAnswer: 4136, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:51 AM and 8:54 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 48 - 1094?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.14 + 0.76. Let l = -127 - -125. What is the second smallest value in l, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2360?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 55 + -15. Let y be (4\/(-10))\/((-1)\/20). Calculate the highest common divisor of g and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 195 + 95 = -29*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-30)\/75 - 23\/105 and -62\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*p = -22*p. Let r be (-7)\/(-28)*(p - 2). Sort -1\/7, r, -1 in descending order.\nAnswer: -1\/7, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 10*i - 9. What are the prime factors of n(8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 91759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 - -6. Let u = w + 2. Suppose 4*m + 0*m = -4*j + 96, -3*m - 68 = -u*j. Calculate the smallest common multiple of 18 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-1 + sqrt(209)\/(sqrt(44)*2) - -3*(1*sqrt(684) + 2 + sqrt(19) + 1)))**2.\nAnswer: 340*sqrt(19) + 138299\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 31.0309 - 24.03155. Let c = -7 + h. What is c rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 573, 738, 901, 1062, 1221, 1378?\n\"Answer: -h**2 + 168*h + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 5, 4, -67 in descending order.\nAnswer: 5, 4, 1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -220*s - 7 - 17 + 230*s. Calculate the least common multiple of (-12)\/3 + (3 - -5) and y(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 206003048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -567*v**3 + 16*v - 16*v.\nAnswer: -567*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 19*h - 11. Let o be b(6). Solve 98*y = o*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 AM and 5:14 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20997*o + 10496*o + 10501*o - 4708*o**2)*(-4*o**2 - 6*o**2 + 2*o**2).\nAnswer: 37664*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 1. Suppose 9 - 1 = -2*u. Let f be (u\/(-5))\/(6\/15). Put i, 1, f in descending order.\nAnswer: f, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5119980143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, -4, 47.\nAnswer: -4, 0, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -d - 4*y, 2*d - y - 1 - 6 = 0. Suppose 2*v - 3*v = -d, 2*h - 3*v + 8 = 0. Suppose 13*x - 21 = 31. What is the remainder when x is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 10567267, 21134534, 31701801?\n\"Answer: 10567267*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-15)*86034\/(-52). Let l = r + -223. Suppose b - 4*b = 9. Is l bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j - 14 = 6*j. Let c(i) = -i**3 - i**2 - 35*i + 35. Let f be c(-7). What is the highest common factor of f and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the third derivative of t**6\/60 - 8*t**5\/15 + 41*t**4\/12 - 26*t**3\/3 + 237*t**2 - 5. Factor v(n).\nAnswer: 2*(n - 13)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 5*c - 3 + 2*c - c + 0*c - 3*c + 5*c - 3*c + (0 + 3 - 1)*(-4*c + c + 4*c) - 6893*c + 3288*c + 3299*c as r + b*c and give b.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 34 + 267. Suppose 474 + o = 5*u - r, -5*u + 805 = 5*r. Suppose -2*t = 120 - u. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -10*n + 40. Let j be o(-4). Let f = j - 81. Put 6, 3, f in descending order.\nAnswer: 6, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.24 (b) 12 (c) -0.5 (d) -117.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the first derivative of 0*c**4 + 1\/30*c**5 + 41 + 0*c + 0*c**2 - 1\/18*c**3. Factor b(l).\nAnswer: l**2*(l - 1)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 606 and 970206?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k**3 - 23*k**2 + 19*k + 55. Calculate z(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -57406800 + 81533981. Suppose 5015711 = -2*m - x. Let z = -28571446 - m. What is z rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 3*z**4 + z**3 + z**2. Let l(j) = 38*j**5 + 4*j**4 + 5*j**3 + 700*j**2. Let m(o) = 15*h(o) - 3*l(o). Find the third derivative of m(a) wrt a.\nAnswer: -6840*a**2 + 792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - h - 6 = 0. Suppose v + 4*v = h*s - 35, 3*v = 3*s - 27. Let r(f) = -f**2 + 6*f + 2. Is r(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**3 - 49*y**2 + 107*y + 7448. Give a(-48).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is (-2718640)\/(-15) + 29\/87 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 148231\/558 or 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 20 = 5*k, -3*p - p + 32 = 4*k. Let f be ((-2)\/3)\/(6\/(-9)). Let z be -1*(f + (-3)\/(-1)). Put k, z, 4 in increasing order.\nAnswer: z, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13.74 + 0.26. Let k = d - 10. Which is the nearest to -5\/2? (a) k (b) 2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -289217959.42004 less than -0.1?\nAnswer: 289217959.32004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16408 is divided by 7173?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*-123211547.\nAnswer: -12321154.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 8 - 4)*(-115*f + 15 - 15)*(-4*f - 4*f + 3*f) + f**2 + f**2 - 3*f**2.\nAnswer: 1149*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 69868549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 23*q. Let u(m) = 7*m + 121. Calculate u(c(n)).\nAnswer: 161*n + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 14 = 2*h, 5*h + 5*r = -0*h + 50. Let b be 4\/(-16) - (-18)\/h. Determine u so that -2*u**3 - 2*u + 6*u - 2*u**b + 0*u = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = -k. Let f = -0.02 + 0.62. Let n = f - 0.3. Which is the nearest to k? (a) n (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m + 13. Let d be g(8). Solve -16 - 14 = -d*f + 2*o, -5*o - 37 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 313852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwjvha. Give prob of sequence jaw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7288048 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -130 - 112?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1\/5, -17\/5, -4, 2\/17 in descending order.\nAnswer: 2, 2\/17, -1\/5, -17\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2674629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2709 + 6038. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1\/156 - 461\/1092. Let o = 1 - 2. Which is the nearest to o? (a) 3\/2 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1287727, -2575449, -3863169, -5150887?\nAnswer: -6438603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 5 + (18 + -21 - (1 + -5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide (-3)\/((0 + -2)\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000598 rounded to 7 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 160 - 82. Suppose 21 - o = -3*g. What is j in -g*j + j**2 - 2 + 25*j - 6 + j**2 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 188010511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -89173357*l**3 - 104312599*l**2.\nAnswer: -535040142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2768 and 25316880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**3 + 6*i**2 + 3*i - 1. What is the units digit of m(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26399 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 11, f: 2}. What is prob of picking 1 f and 1 v?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 2 = -f, j = -3*f - f - 8. Let h = -14 + 17. Let u = -3.2 + h. What is the closest to j in u, 1, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 230.81 + -232. Let v = q + 3.19. Which is smaller: v or -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 2:32 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26\/(-3)*(-357120)\/(-25792).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**2)**35*(f\/f**(-2))**24)\/(f**(-1\/5)*f*f**(-3\/7)\/f)**(-2\/9) assuming f is positive.\nAnswer: f**(55711\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k = -0*k + 1078. Let b = -91 + k. Suppose -b = -g - 19. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.01 - -4.01. Let r = -0.15 + -4.35. Let o = r + l. Put -5, 4, o in decreasing order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - a = 6416, 0*b + 5134 = 4*b - 2*a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 7*o + 2 = 0. Solve 2 = -z - o, 5 = -3*q + z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -88*p**3 + 86*p**3 + 59*p**2 + 6*p**2 + 22*p**2 in the form f*p + n*p**3 + b*p**2 + a and give b.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 858 by 66.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 78 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -6*l**4 + 2*l**4 - 4*l**4 + (2 - 3 + 2)*(17*l**4 - 9*l**4 + 5*l**4) + 12 - 9 - 6 - 3*l**4 as g*l**4 + c*l**3 + j*l**2 + u*l + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nkkkknknenknknknkk. Give prob of sequence knk.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 17*c**2 + 43*c + 65. What is the tens digit of n(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 + 8*z**2 - 12*z - 10. Let l be i(-9). Let o(w) = -w + 27. Let r be o(7). Let q = r - l. Solve 4 = n - 2*j, q*j = 6*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mtet when four letters picked without replacement from tttttetttmt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1948*p**2*z**5 + 22355*p**2 + 8*z**5 - 2*z wrt z.\nAnswer: 38960*p**2*z**3 + 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 5*r - 30 = 3*a, -16 = 4*r. Solve a*g + 21 = 4*b + 8, 0 = -5*b + 5*g + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w**5 - 1184*w**4 + 229140*w**3 - 13574736*w**2 - 178653222*w = 0. Calculate w.\nAnswer: -11, 0, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z. Let j(f) be the second derivative of 1\/4*f**4 - 10*f + 0*f**3 + 0*f**2 + 0. What is j(a(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 291300\/7 or 41615?\nAnswer: 41615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 3*v - 1556 = 0, 4*k - v = 5079 - 1939. What is the highest common factor of 1008 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 12379*i**3 + 4 + 12356*i**3 - 24749*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -24*r + 22*r - 2*g, -2*r + 5*g = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1147 (base 11) to base 5\nAnswer: -22003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 500\/372851 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -2*z + 6. Let a be t(-10). Let u = 31 - a. What is the second derivative of -20*l + 15*l - l**u - 4*l**5 wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2, 4, -0.0175386, 1\/3?\nAnswer: -0.0175386","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -107442 (base 8) to base 2.\nAnswer: -1000111100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 + o - 1. Let l be n(1). Let z(u) = -3*u + 11. Let y be z(3). Is y at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2636981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 18 + 28 - 6*z - 46 + 16*z**3 wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oxkxkjokxokxkkog. What is prob of picking 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 122 + 94184.\nAnswer: 94306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 3 (b) -8 (c) 15 (d) 1 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4756\/13 + 366. Which is the second biggest value? (a) 4 (b) 3 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83589980.\nAnswer: 2, 5, 41, 101939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 4*v = -1, -u - 11*v = -7*v - 7. Which is the closest to -1\/4? (a) 6\/7 (b) 2\/3 (c) 1.1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**2 + 34*m + 855. Let t be b(-17). What is the smallest value in 0.2, 1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 + 2. Let c(t) = 4*t - 2. Let f be c(m). Suppose -5*j + 29 = 2*n, f + 3 = 5*j. What is the remainder when 46 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -331 + 331.3. What is the second biggest value in d, 2\/9, -1, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-3) + (-35)\/(-21). Suppose -6 = -b + r*k, 0 = 2*k + 4 - 0. Factor -4*t**2 - 28*t + 4*t**3 - 5*t**3 - b + 23*t.\nAnswer: -(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 313 (base 11) in base 16?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3)\/(234\/(-38))*1. Let o = -253\/4 - -3297\/52. Let h = o - u. What is the common denominator of h and 7\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 6*k = 89800. Round k to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -74, -250, -474, -698, -874, -954?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1095*g - 6522 + 20762 + 13852 = -6948 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -32*f + 578. List the prime factors of s(-48).\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 24878189\/9348 + -15\/3116. Let a = z + -2702. Is -40 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**3 + 3*l**2 - 3*l - 3. What is the remainder when r(-3) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -5, -1, -2 in increasing order.\nAnswer: -6, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -41*x - 30. Let a be z(-10). Let w be -4*a*25\/2. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -988239 and 5.379522.\nAnswer: -988233.620478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1*5\/80*-4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -488, -1630, -3982, -8102, -14548, -23878, -36650, -53422?\n\"Answer: -93*a**3 - 47*a**2 - 350*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3531*q - 4863*q**2 + 820*q - 4791*q wrt q.\nAnswer: -9726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -2 + 0 + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (278\/(-18))\/(4\/(-6)) and (-2)\/(-8) - (-513)\/(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5593?\nAnswer: 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 51961603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 2*c - 7*c + 50, -2*c = 3*w - 111. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80)\/(sqrt(20)\/sqrt(2)) + -1 + sqrt(8) + sqrt(8) + 2)*3.\nAnswer: 3 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 792 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -49*n - 19152. Calculate h(-382).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0309 - -168.0309. Let h = t + -168.00000565. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3399*f - 17 + 1639*f + 1758*f - f**2.\nAnswer: -f**2 - 2*f - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-16))\/((-3)\/2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18\/19 + 55\/38. Let a(l) be the second derivative of 3\/2*l**2 + l - 1\/2*l**3 + 0 + 3\/10*l**5 - 1\/14*l**7 - i*l**4 + 1\/10*l**6. What is s in a(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -g + 1 + 5, 0 = 4*y + g - 18. Suppose a + y = 3*a. Find the third derivative of -10*d + 10*d - 3*d**5 - 2*d**5 + 15*d**a wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22639900 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + 5 + (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 594.8, 1\/6, -16 in decreasing order.\nAnswer: 594.8, 1\/6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -611*b = 981*b + 12515 + 16141 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 269*l**2 - 17 - 33 - 50 + 100.\nAnswer: 269*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {z: 7, e: 2, l: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -v - 8. Let q = 20.88 - 21. Let g = -0.02 - q. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the third derivative of -b**4\/6 - 2*b**3\/3 - 2*b**2. Let z be t(-1). Let d(k) = k + 82. Is d(z) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -31, -10 in ascending order.\nAnswer: -31, -10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -41, -72, -2, 0, 1 in descending order.\nAnswer: 5, 1, 0, -2, -3, -41, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**2 + 10*q + 28. Let y(i) = -2*i**2 - 8*i - 15. Let n be y(-3). Let a be v(n). Suppose a*j - 180 = 18*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 105 (base 10) to base 13.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2, 6, 12, 20, 30?\n\"Answer: m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 775938 and 1896?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f = -f + 20, 2*f = 5*q + 2. Let j be 1980\/264*q\/(-5). Solve -4*r = -7*r + j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes before 2:38 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9940.\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 30789?\nAnswer: 2\/30789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-1\/4)\/n**(-2\/13)*(n**0)**(5\/14)*((n**0\/n)\/n)**(-29)\/((n\/((n*n**1\/n)\/n*n))\/(n*n\/n**(-8))) assuming n is positive.\nAnswer: n**(3531\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/13 in 0.2, 1, -1\/7, -3\/28, -1.1, -68?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9058727?\nAnswer: 31, 107, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - -360a?\nAnswer: 3606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes after 10:32 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*i**2 + 49*i**2 + 44*i**2 + 141*i**2 + 25*i**2 - 273*i**2.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 649*n = 644*n + 35 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 3*c**2 - 25*c - 16. Let t be n(9). Suppose -r - m - t*m = -24, 3*r + m - 88 = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(14\/(-24) + 9\/(-54)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -12 - (-3 + (17 - 5 - 6) - 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 - 5*c - 5. Let i be b(6). Let f be (i - 2)*(0 - 2). Solve 0 = 2*d + 4*g + f, 3*g + 2*g + 10 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 11 - 4\/((-12)\/(-9)). Suppose 1 = 3*f - j. Suppose -f*r + 37 + 35 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 5 + 1)*(2 + 2 - 10)*(-29 + 29 - 42*x).\nAnswer: -504*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of -140*b**3\/3 + b**2\/2 - b + 6. Let i be u(1). Is (-12)\/15*i\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(20)*1)\/sqrt(4) + (sqrt(5) - (1 + -1 + sqrt(5))))**2 + 2 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum -2.06175332 and -0.4.\nAnswer: -2.46175332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -6777200 rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 + 9*r**2 - 11*r. List the prime factors of c(-6).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -5\/4 (b) -27 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(1539)*4)**2*-4.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -136 - -58. Let n = q - -81. Which is the second smallest value? (a) -2\/13 (b) -5 (c) n (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 56271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10 - -14. Let d be 2\/1 + j\/2. Let v = 36 + -24. Solve -d*r - v = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1960\/(-50))\/7*(-13 + 3). Which is bigger: 46 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1385871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -100590\/13 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n - 6*n**3 + 4*n)*(-3*n - 3*n + 7*n).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1986 is divided by 1371?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*u + 17*u - 9. Solve -5*n + 3*q = -u*n - 9, 2*q = -6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -m**4 - 8199*m**3 - 2839*m**2 + 85183451*m?\nAnswer: -12*m**2 - 49194*m - 5678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:31 PM and 8:55 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6161 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 5 - 1. Let j be (t - 0)\/((-3)\/(-17757)). Suppose -3*b + j = -5481. Round b to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + -1. Let q(t) = 0*t + y*t - 2*t**2. Let d(l) be the third derivative of l**4\/24 + 2*l**2. Give d(q(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 262 divide 870364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9285790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - 79?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6496*w**3 - 6494*w**3 + 9 - 7 + 184*w**2 + 3*w**4 to j*w**3 + g*w + h + u*w**4 + q*w**2 and give q.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16168 - 4193 = w. Suppose 3*o = 2*v - 5*v + 11973, 3*o + 4*v = w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129894?\nAnswer: 2, 3, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 158 + 70 = 6*o, -4*o + 137 = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + (-5)\/((-35)\/42) - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 27*n**3 + 9*n**2 + 9*n. Calculate k(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 84*n - 83*n - 13, 2*n = k - 1. Let y(g) be the first derivative of -2\/5*g**2 + k + 4\/15*g**3 + 0*g. Factor y(v).\nAnswer: 4*v*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -655.26 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - -9 - 14) + -14 + 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -3*t**5\/4 - 8769*t**4\/2 + 26370*t**3 + 421455*t**2\/2 + 1299243*t\/4 + 144837 = 0. Calculate t.\nAnswer: -5852, -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1872.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 + 3*n)*(2*n**2 - n**4 - 2*n**2) - n**5 + 2*n**2 + 2 + 11*n**2 - 11*n**2.\nAnswer: -4*n**5 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -42 - (25941 + -26063).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k. Let p(n) = 5*n**2 - 2*n + 1. Let z(b) = 5*b**2 - 3*b + 2. Let l(v) = -3*p(v) + 2*z(v). Let g(q) be the first derivative of l(q). Give i(g(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -72 divided by -5099?\nAnswer: 72\/5099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -536 - 2436?\nAnswer: -3305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1712 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 11 - (9 + -23 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12683 - 88779\/7. Which is the third biggest value? (a) 0.3 (b) g (c) 8 (d) -3.7 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the third derivative of m**4\/12 - 2*m**3\/3 + 3*m**2. Let p(b) = -2 + 6 - 3. Let v be (0 - -1) + (-1 - -1). What is v*g(i) + 6*p(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -135 + 139. Let c be 6\/v - (-90)\/(-72). Suppose 1\/8*h**2 + c*h + 1\/8 = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the second derivative of -17*w**8\/56 - 4*w**4\/3 - 12*w. What is the third derivative of j(n) wrt n?\nAnswer: -2040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*m = u - 20*m - 895, 0 = -5*u + 4*m + 4319. What are the prime factors of u?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -93 - -93. Let c(j) = 2*j**3 + j**2 - j - 1. Let h be c(2). Suppose -3 - h = -5*a. Solve s - 5*s + a = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*b - 7. Let t be (-148)\/(-3)*48\/32. Suppose 2*a + t = b*a. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2*i - 44. Calculate the smallest common multiple of 66 and g(34).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 105 + -3725?\nAnswer: -3620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(2\/11)\/w**(-4))\/(w*w*w**2*w*(w**(-5\/6)\/w)\/w))\/((w**(-1))**9*(w**(-1)\/w)**(-10\/3)) assuming w is positive.\nAnswer: w**(287\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 283 + -282 - (-1 - (-1 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -14293, 0.8, 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 11:44 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, 24, -4.\nAnswer: -5, -4, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d*d**(2\/15))\/d**(-8\/5))\/(d\/(d\/d**2*d))**(2\/33))**(-11\/5))**(-20) assuming d is positive.\nAnswer: d**(588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, -4, -3 in descending order.\nAnswer: 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hrjhhjhojhfmm. What is prob of picking 2 h and 1 f?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c + 8*c - 3*x - 35, 5*c - 4*x = 40. Suppose 0 = -5*k - 5, 10*d + 6 = 9*d - 4*k. What is the closest to -7 in d, c, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -2*d + 2, 0 = -2*j - 2*d - d + 3. Solve 0 = -3*t - 4*a + 1, j*a = 4*a - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the third derivative of -6*s**2 + 1\/2*s**3 + 0*s + 0 - 1\/6*s**4 + 1\/90*s**6 + 0*s**5. Let a(x) be the first derivative of y(x). Factor a(d).\nAnswer: 4*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8325 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 3*b + 4. Let t be a(-3). Let z(d) = -5*d**2 + d + 7. Let p(j) = -8*j**2 + 3*j + 13. Let k(q) = 4*p(q) - 7*z(q). What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 4*w + 2 = -3, -5*w = -2*n + 1. Let j be n + (-4)\/4*-21. Let x = j + -22. Solve 0 = -p - 2*b + 9, 3*p + 2*b + x*b - 19 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the second derivative of -h**5\/4 - 5*h**4\/4 - 5*h**3\/2 - 5*h**2\/2 + 9*h. Determine i so that a(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 3*k + 13. Let d be u(9). Suppose 160 = -4*t + d. What is the tens digit of (-1)\/((-28)\/t + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3*l**2 - 1)*(-3 + 5*l - 4*l + 1) - 6745*l + 6828*l - 3279*l - 2*l**3 - 3 + 2*l**3 + 3.\nAnswer: 3*l**3 - 6*l**2 - 3196*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p + 4 = -4*y, -21*y - 10 = -19*y - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 + 2*m**2 + 7*m + 5. Calculate x(-5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 239 - 4*y + 0*y + 14*y - 5*y. What is the tens digit of a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(231\/39 - 1 - 5). Suppose 0 = -2*t - 16*r + p*r + 2308, 4*r + 5793 = 5*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16 + 7*z**4 + 16 + (-2*z - 1 + 1)*(-88 + 88 + 43*z**3) - 4*z + 2*z**4 + 4*z to the form a*z**2 + y*z**3 + i + o*z + j*z**4 and give j.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10022 + 12121210010?\nAnswer: 12121122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -99\/52 and 71\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 318*h**2 + 5*h**2 - 15*h**2.\nAnswer: 308*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(5 + -11) + (-22)\/12\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2842.13836 - -2842. Round c to 3 decimal places.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 205? (a) -2\/5 (b) -3\/4 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 AM and 8:22 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1143 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18947 + -18943. Which is the second smallest value? (a) 1\/6 (b) u (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -33 in 0.3, 1\/2, 4, -0.041, -3, -11\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2\/23 + 40\/69. Let d = -33 - -12. Let j = 19 + d. What is the second biggest value in x, j, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -46200, -46193, -46186, -46179, -46172, -46165?\nAnswer: -46158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 3*v = 6104 + 277, 5*n + 5*v - 15965 = 0. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 3*s - 13 = 0, 5*l = -0*s - 5*s + 45. Put -5, l, -4, -1 in descending order.\nAnswer: l, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, 31, 4, 18 in increasing order.\nAnswer: 4, 10, 18, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-296*q + 296*q + q**2 + 5*q**3 - 2)*(-4*q**2 + 0*q**2 + 0*q**2).\nAnswer: -20*q**5 - 4*q**4 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2547 + -1308. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ykwzwiywwwywyzky. Give prob of picking 2 y and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 191 + -189.9. Is -33 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1270104063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 x, and 2 h when four letters picked without replacement from zimxdhzh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = -9*p - 5*p. Let y be (1 - 9)*(p + 45\/20). Suppose -12 = -9*r + y. What is the greatest common divisor of r and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i + 32. Suppose -14 = -k - 3*s + 29, -2*s = 5*k - 150. Calculate the lowest common multiple of n(k) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 3 - (-1 + -8 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14124 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 621*-16.\nAnswer: -9936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2612409391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 3*r**2 - 3)*(-3 + 25 + 4*r - 17) as g*r + q*r**2 + s*r**3 + k and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(200) + sqrt(200) - sqrt(200)) + 2 + -1 + (sqrt(200) - (sqrt(200) - (sqrt(200) + -2))) - 4*-3*-2*sqrt(200)*4)**2.\nAnswer: 1880*sqrt(2) + 1767201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 94 + -1a?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, b: 6, e: 9, q: 1}. Give prob of sequence qbxb.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 220*k - 35. Determine t(1).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5 + (564\/14 - (-8)\/(-28)). What is the greatest common factor of w and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 340 + -1022460?\nAnswer: -1022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**3\/2 + 715*c**2 - 45535*c\/2 + 22050.\nAnswer: 5*(c - 28)*(c - 1)*(c + 315)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 807 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: b\"What is the rth term of 1338, 2390, 3442?\n\"Answer: 1052*r + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 246829.2 microseconds to minutes.\nAnswer: 0.00411382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 72 = 20*i. Suppose 0 = s - 0*s + 2*k + 12, -3*k - 9 = -3*s. Let l = 6 - 5.9. Which is the nearest to i? (a) -1 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 970 times 0.19232?\nAnswer: 186.5504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*x - 5*v + 15, 604*v - 602*v - 6 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1308922, 1308928, 1308934, 1308940?\n\"Answer: 6*j + 1308916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.5584 - -0.0894. Round r to two decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18 - 17.48. Let c = 0.02 - r. What is the nearest to 1 in c, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**4 - d**3 + d**2. Let f(q) = 4*q**4 + 5*q**3 - 5*q**2 + 16*q. Let s(a) = 5*c(a) + f(a). Find the second derivative of s(h) wrt h.\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132133020 (base 4) in base 9?\nAnswer: -210256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dez. What is prob of sequence zdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1471 - -2628. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 16*d**2 - 41*d**2 - 25*d**2 + (0 - 1 + 0)*(7*d**2 - 3*d**2 - 14*d**2) + 6*d**2 - 3*d**2 - d**2.\nAnswer: -70*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 292*c - 1095. Let g(a) = 2*a - 5. Give 876*g(p) - 4*n(p).\nAnswer: 584*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2948 - -35417\/12. What is the common denominator of t and 113\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 205122677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1210102230331 + 12?\nAnswer: -1210102230313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 470405 * -5\nAnswer: -2352025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 47 = 3*b - 20*u, 0 = -2*b - 3*u + 15 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 16.96415 weeks to microseconds.\nAnswer: 10259917920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 66 = 2*y, 2*y = -y - 5*b - 102. Let f = y - -44. Solve 0 + f = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21.1057 - -236.\nAnswer: 214.8943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be 68\/26 + 2938\/(-1469). Find s, given that 2\/13*s**3 - t*s**2 - 32\/13*s + 128\/13 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 1077198852*z - 4467624. Let u(d) = 15190*d - 63. Calculate 3*f(m) - 212744*u(m).\nAnswer: 15196*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the third derivative of 17*t**5\/60 + t**4\/12 + t**3\/2 - 2*t**2. Let n(s) = -s**2 + 3*s + 2. Let f be n(-1). Is l(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -196*f**5 - 952*f**4 + 6180*f**3 - 9512*f**2 + 5632*f - 1152 = 0. What is f?\nAnswer: -9, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2380\/25 - ((-238)\/35 - -6). Calculate the greatest common factor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2*n**2 - n - 5. Suppose -11 + 67 = -4*k. Let c(y) = -10*y**2 - 4*y - 24. Suppose -z + 6 = 3*u, 9*u = 5*z + 5*u - 11. Give k*f(o) + z*c(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2441874 is divided by 46.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - n = -3, 12 = 5*g - 8*n + 12*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from kkwkzkdwb?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -238 - -242. Let c(u) = -u. Let b(v) = v + 2. What is h*c(j) + b(j)?\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 + 18 = 4*i. Let c(f) = -11*f + 4. Let v be c(i). Which is bigger: 1\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(833) + -1)*-6 + 3)**2 + (-2 + sqrt(833) + -2 - (3 + -2*sqrt(833))**2).\nAnswer: -665*sqrt(17) + 26724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 278\/5*f**3 + 22\/5*f**4 + 482\/5*f**2 + 0 - 2\/5*f**5 + 228\/5*f = 0. Calculate f.\nAnswer: -6, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3849457362?\nAnswer: 2, 3, 709, 904903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l + 6*l = -77. Suppose -13*s = -l*s - 980. Does 49 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 38 = -5*k + 17, -k - 29 = 3*c. Let p = -20 + c. Calculate the remainder when 20 is divided by 1 + 9\/((-27)\/p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 4*t + t - t. Let s(l) = l**2 - 9*l + 8. Let o be s(8). Let h(a) = -a + a + o*a - 2*a. Calculate v(h(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*x + 114 - 274 + 132.\nAnswer: -2*x - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/24301136 and -1\/176.\nAnswer: 267312496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 201350 - -9?\nAnswer: 201359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-138)\/4*(-2)\/(-6) and 37\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -74.16 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -554 or -256?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1195110 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 15*o. Let s(m) = -224*m**2 + 128*m + 128. Let f(n) = -17*n**2 + 10*n + 10. Let l(v) = -64*f(v) + 5*s(v). Calculate b(l(j)).\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -2*p + 3. Suppose -4 = -l - 4*n, 4*n + 20 = 2*l - 0*n. Give d(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s - 3*s = 0. Suppose s = -3*g + 4*g + 8. Let j = g + 18. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*i + 32 - 32 + 0*i + i + 0*i + (-4 + 5 + 0)*(1 - 1 - 2*i))*(i + 2*i**3 - i) as u*i**2 + n*i**4 + p*i + x + h*i**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of -5*f**4\/8 + 165*f**2. Let d(j) = 2*j. Give d(i(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 100712005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bii when three letters picked without replacement from bbiiibibii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -5*q - 7, 0 = -5*q - 19*u + 15*u - 14. Let a(t) = t**3 + 3*t + 20*t**2 - 20*t**2. Let d(g) = -5*g**3 - 16*g. Calculate q*d(l) - 11*a(l).\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 - (-1 - -37 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2 or -20.1?\nAnswer: -20.1","meta":{"dup_signals":{},"source":"comparison__pair_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: What is prob of sequence hhti when four letters picked without replacement from {i: 1, h: 2, c: 1, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -16 - ((24 - 24) + 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d - d + 5*d)*(d + 3 - 3 + (-6*d + 1 - 1)*(1 - 3 - 1)).\nAnswer: 114*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-2 + (sqrt(931) + 4 + sqrt(931) + 5)**2 + sqrt(931) + -1).\nAnswer: -22812 - 1554*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1152)\/(-6624) + (-1 - (-3876)\/(-69)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 630 and 50598?\nAnswer: 1770930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -114973*5\nAnswer: -574865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1113036 and 1812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {v: 1, b: 1, r: 4, m: 6, u: 1, w: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -11 + 1 + 15 + (6 - 1) - -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -85412, -170828, -256242, -341654, -427064, -512472?\nAnswer: -597878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 0 + 2 = -1, -5*r = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.2, -6, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (10 - 9 - 21) + 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -20 + 10. Let r be ((-108)\/(-135))\/((-4)\/w). Find b such that 16*b + 60 - 4*b**3 + 0*b**3 - 92 + 5*b**2 + 3*b**r = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ejejjjx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 17988*g**2*i**3 - 63*g**2*i**2 - g + 2*i**2 wrt i?\nAnswer: 107928*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 12 - 3b223a?\nAnswer: -3b2228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 + -9. Let t = -5 + 4.6. Suppose 26 = 52*p - 65*p. Which is the closest to p? (a) 4 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 3*m**2 - 2*m - 17. Calculate the remainder when 40 is divided by f(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the second derivative of 9*c**5\/20 - 5*c**4\/6 + 18*c. Find the third derivative of o(g) wrt g.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -40482 (base 11) to base 3\nAnswer: -10000010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 90 - 48. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c and 1 y when four letters picked without replacement from {c: 14, y: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 - 106 = -14*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/32 and -9\/1630138.\nAnswer: 26082208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 39494191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 4*w**3 - 1. Let g be b(-1). Let j be (-1)\/g + 29\/5. Suppose 0 = 3*x - 2*x - j. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r**2 + 24*r + 24*r - 7*r - 10*r to v*r + k*r**2 + q and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 735696.2 litres?\nAnswer: 735696200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2f (base 16) in base 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1706415985198515\/233125046 - 186\/10596593. Let x = 7324512 + o. Let w = x - 4768. What is the common denominator of w and -7\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 7 = -3*q + 3*y, -5*y = -20. Let u be (0 + q\/3)*-45. List the prime factors of -58*(2 + u\/(-6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 + -10. Suppose -g + 1045 = 5*t + g, 2*g = i*t - 432. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 415437, 830868, 1246291, 1661706, 2077113?\nAnswer: 2492512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -x**4 - 3*x**3 + 2*x**4 + 2*x**4 + 5*x**2 - 4*x**4 in the form t*x**3 + j*x + a*x**2 + y + q*x**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1642 is divided by 739?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 24599, 49140, 73593, 97958, 122235?\n\"Answer: -44*x**2 + 24673*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the first derivative of -1\/3*z**3 + 0*z - 287 + 0*z**2. Let m(y) be the first derivative of 29*y**2\/2 + 1. Calculate m(t(s)).\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.008751917 minus -1?\nAnswer: 0.991248083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 96\/(-64)*(-3)\/((-72)\/8)*46\/3.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*i**3 + 0*i**3 - 3*i**3 + (-2*i - 4*i + 4*i)*(-i**2 - 3*i + 3*i) + 3*i**3 - 4*i**3 + 2*i**3 to h + o*i**3 + w*i**2 + z*i and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2367028.\nAnswer: 2, 591757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 2445*b**2 - 30*b + 1531. Let v(y) = -7334*y**2 + 85*y - 4593. Let r(g) = 17*t(g) + 6*v(g). What is the first derivative of r(m) wrt m?\nAnswer: -4878*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - (-1836)\/(-135) - (2 + 327\/(-45))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.27 + -22.27. Let t = -22.045 - f. Round t to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - 75?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 - 8*w - 1. Give x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.01 + -0.39. Let w = -0.087 - -37.087. Let t = w + -42. Sort h, t, -3 in increasing order.\nAnswer: t, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 0*z + 3*z + 0*z - 5*z. Let k(d) = -d**2. Calculate w(k(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, n: 7}. Give prob of sequence ll.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6*184.4815.\nAnswer: -1106.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-7 + 824\/120)*3. What is the third biggest value in g, -2.1, 0.01?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4444 + -5052?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -5. Let q = 3595\/11 - 327. What is the closest to 1\/3 in q, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.5335918794 to 3 dps.\nAnswer: 0.534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(1\/15))\/(t**(-6)\/t)*t*t**(-2)*t*(t**15*t*t)\/t assuming t is positive.\nAnswer: t**(359\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -3454988 + 245551.\nAnswer: -3209437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + t**2 - 3 + (3*t + 0*t - t)*(0 - 1 + 2)*(5 + 3*t - 5).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/80 and 31\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5)\/(5115\/(-252)) - (-36)\/(-198). Put -1\/5, 0, h in ascending order.\nAnswer: -1\/5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1212220 (base 4) in base 8?\nAnswer: -14650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 3. Suppose 0 = -2*a + 7*a. Let h = a - z. Is -3 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = 4*l - 5 + 15, 2*l + 19 = 3*b. Calculate the highest common divisor of b and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**3 + 10*t**2 + 20*t - 5. Let o be c(-7). Let z be (-46)\/42 - (-2)\/3. Let a be (-2)\/6 - 0*2\/(-8). What is the smallest value in a, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*x**2 - x**5 - 2*x**5 + 4*x**5 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11811*b**2*n**2 + b**2 + 10*b*n - 19*b + n**2 - 2*n wrt n?\nAnswer: -23622*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*-4*(sqrt(832) + 0 + sqrt(832)) + (sqrt(468) + sqrt(468) + 1 + sqrt(468) + -3 - -2*(1 + sqrt(468) + sqrt(468))))**2.\nAnswer: 711828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {j: 4, d: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(75) + (sqrt(75)*2 - sqrt(75)) + -1 + sqrt(75)))**2.\nAnswer: -120*sqrt(3) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -55492 times -1.134\nAnswer: 62927.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*p + 2*p + 2744. What is the greatest common factor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 84977813\/204414 + 1\/29202. Let b = -51827\/126 + m. Find the common denominator of -39\/934 and b.\nAnswer: 8406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6 - 0.09026?\nAnswer: -1.69026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u - 6. Let w be m(-7). Let l(n) = -n**3 + 8*n**2 + 9*n + 7. Let x be l(9). What is the highest common factor of x and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 46 or -0.1834?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-4))**5*((m\/m**(3\/16))\/m)\/m**0 assuming m is positive.\nAnswer: m**(-323\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-10)\/(n*n**5))**(-18)*n\/((n*n**(-1)*n*n)\/n)*n**(4\/5)*(n*n**(-4\/9))\/(n*n**(-1\/7)) assuming n is positive.\nAnswer: n**(90877\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -6*6\/486 - (132842\/(-27) - -2)?\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 20\/(-5)*72\/6*(-259)\/222\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-1))\/(2*(-4)\/24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*v = -15*v - 120. Let c = v - -53. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 2:27 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Do 572 and 576 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2636358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, q: 3}. Give prob of picking 3 q and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/116, 0.4, 2\/9 in increasing order.\nAnswer: -3\/116, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -67366, -70623, -73880, -77137, -80394, -83651?\n\"Answer: -3257*p - 64109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 838, 1839, 2884, 3967, 5082, 6223, 7384, 8559?\nAnswer: 9742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1, 10, 27, 52, 85, 126, 175?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-18)\/44)\/(11256\/(-20636)))\/(1\/(-84)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a - 3. Let f(h) = -44*h - 76. What is -f(i) + 24*p(i)?\nAnswer: 20*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 241701086 to the power of 1\/3, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -86\/256641 and 56\/183315.\nAnswer: 1283205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) -0.5 (c) -2\/7 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/((18\/(-56))\/9). Calculate the highest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 181\/300 and -47\/15.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**2 - 5*y + 27. Let h be b(-8). Solve -5*u = -o + 16, o + 16 = -h*u - 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 3*c = 10 + 8, i = -4*c - 15. Solve 10*u - i*u + 18 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -709210\/3 or -236403?\nAnswer: -709210\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 3, 67, 2\/5, 12\/5, 1573?\nAnswer: 1573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, x: 1, r: 1, p: 1, q: 1}. What is prob of sequence xqr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*a - 26*a - 14032 = 0. Let y = 882 - a. Calculate the greatest common divisor of 445 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.3286287 + -178.3240187. Let i = 174 + k. Round i to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.104671825 rounded to three decimal places?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 21 in -16, -30, -0.1, 0.06, -0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x**3. Let f = 5 + -4. Let l be r(f). What is the biggest value in 5\/3, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 2*l - 21, -2*z + 5*l + 21 = -0*z. Suppose 3*d + 8 = 4*j, -2*j - z - 3 = -4*d. Solve 4*k + j*s + 9 = 8*k, k - 2*s = 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 27 - 38. What is the tens digit of 3 - a - (0 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 309929066 and 6382?\nAnswer: 6382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 24*b**2 - 36*b**2 + 4*b**4 - 3*b**4 + 15*b**2 - 8 + 10*b**2 as m + q*b**2 + t*b + w*b**3 + z*b**4 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.0959276 decades?\nAnswer: 0.00959276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/1148 and 141\/16292990.\nAnswer: 32585980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0*(3 - (-14)\/(-4)). Let c be j\/(3 + (2 - 4)). Factor 0*g + 1\/2*g**3 + c - 1\/2*g**2.\nAnswer: g**2*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*d**2 + d**3 - 2*d**2 - d**3 - d**3 + 4*d**3 + (0*d - 2*d**2 + 0*d)*(4*d - 4*d - d) - 3*d**3 - 9*d**3 - 13*d**3.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 AM and 6:32 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 57682*n - 1557416. Give k(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -35 - -29. Let q be 172\/g - (-6)\/9 - -2. Let i = q + 181. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10 + 10 + 4*b + (b + 3 - 3)*(-1 + 3 - 1) - 4 + b + 4 + 0*b - 4*b + 3*b - 3 + b + 3 + 7 + 10*b - 7 - 5*b - b - 3*b as p*b + l and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -2*i**2 + 25*i + 72. Determine n(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.11 + 3.89. Let w = 56.4 + -21.6. Let o = w + -35.3. Sort -15, d, o.\nAnswer: -15, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**7\/a)\/a**(-24)*a**7\/(a*a*a**1*a*a) assuming a is positive.\nAnswer: a**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 462 = 2*t. What are the prime factors of 387\/((t\/4)\/(-11))?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o + 5. Let z be k(4). Suppose u + z = 8. Let w = u + -4. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2a - -194?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -2197254 < -2197209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3 = m, 2*m = 3*x - 2*x. Suppose -x*c - c = 0. Suppose 3*j - 66 = -c*j. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, -3, -77, 0, -10.\nAnswer: -77, -10, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29536960 is divided by 29536949?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.59 + 1.41. Let k be (-1)\/(-2) - 21\/34. Which is the nearest to -1? (a) k (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25566963 and 629.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3808, -10564, -21854, -37702, -58132, -83168, -112834, -147154?\n\"Answer: -4*l**3 - 2243*l**2 + l - 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*t = -544, -1061*k + 3*t - 116 = -1065*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4242669001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 + 4*g - 13. Let f be q(0). Suppose 4*h - 30 = 2*h. Let d = h + f. Solve -d*c + 4*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the first derivative of 3*w**2 - 2\/3*w**3 - 6 - 1\/4*w**4 + 5*w. Determine f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 25 and 14425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (h + 3*h - 2*h)*(2 - 1 + 1) + 482*h - 245*h - 243*h + (-2 - 4 + 4)*(-2 + h + 2) - 3*h + h + 5*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 675326119?\nAnswer: 13, 4783, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -21, -1\/33, -2\/15, -12\/11 in descending order.\nAnswer: -1\/33, -2\/15, -12\/11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -2*o + 6*o. Let v = -6 - o. Suppose 0 = -4*d + v*d + 6. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 112\/(-168)*(-3)\/23.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 897 and 21252?\nAnswer: 276276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -4954 - 68\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -112*-2768.8\nAnswer: 310105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-81*f - 7*f + 33*f)*(1287*f**3 + 9 - 1288*f**3 + 2 + 11*f**2 + (0*f + f - 3*f)*(-3*f**2 + f**2 + 3*f**2)).\nAnswer: 165*f**4 - 605*f**3 - 605*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 154704655.\nAnswer: 5, 7, 677, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1020332, -1020519, -1020706?\n\"Answer: -187*o - 1020145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 5*g**3 + 3*g**2 + 16*g + 11. Let h(n) = 3*n**3 + n**2 + 7*n + 5. What is 7*h(k) - 3*t(k)?\nAnswer: 6*k**3 - 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-1\/10))**(3\/11)*(q\/(q\/q**(-10)))**17 assuming q is positive.\nAnswer: q**(-18673\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.04 - 0.16. Let y = 0.02 + h. Let l be (-220)\/300 - 4\/(-12). Which is the third biggest value? (a) y (b) -0.08 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 13) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 - -2. Suppose -18*x + 37 = 19*x. What is the nearest to 1\/2 in r, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 503671 is divided by 100729.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 9*y + 137. Let n be c(-15). Suppose -k - n = -5*g, -105 = -2*k - 3*k + 2*g. What is the remainder when 158 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000006278 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**2 - 5*f + 2. Let n(p) = p**3 - 5*p**2 - p + 1. Let g = 11 + -6. Let y be n(g). What is the units digit of a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, u: 1, k: 1, c: 2, e: 2}. What is prob of picking 1 e and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8856 - -8865. Solve -3*v = -5*x - 8, -5*x = -4*v + b*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -155 = -55*g + 65. Let l be ((-2)\/(-8))\/(((-168)\/64)\/(-21)). Solve -5*s - 4 = 4*h, -2*h + 2 = -g*h + l*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*u = 6*u + 1386. Let f be (-20)\/5 - (2 + -27). Calculate the greatest common divisor of u and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 14*h**3 + 5*h**2 + 5. Let k(j) = -j**3 + j**2 + 1. Calculate -b(d) + 5*k(d).\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1000\/(-1350))\/((-2)\/27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -1 - (-75 - -73).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8 (b) -1 (c) 1 (d) -39 (e) 56 (f) -2\/17 (g) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -2*y**3 - 10*y**2 + 11*y + 17. What is u(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/5)\/(y\/(y**(-4)\/y)*y))\/(y**(5\/3)*y\/(y*y**(-8))) assuming y is positive.\nAnswer: y**(-256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -12*b + 16*b - 34*b + (5 - 4 + 0)*(4 - 4 + b) as d*b + a and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 291 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -4*r - 64. Let k be p(-17). What is the fourth biggest value in 1, -1\/2, k, 29?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -328*j - 324*j + 653*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 7, -20, -43, -62?\n\"Answer: 2*w**2 - 33*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/3, 3, -2, 4, 7.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 28085.4 to the nearest one hundred.\nAnswer: 28100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:29 AM and 1:24 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0.3 (b) -1\/4 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3*-1 - 456\/(-9). Let w = y - 48. Which is the third biggest value? (a) 0 (b) w (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 0 = -10. Let a(b) = b**2 - 6*b + 13. Let v(s) = -s**2 + 7*s - 14. Let y(w) = 7*a(w) + 6*v(w). What is the remainder when y(p) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gngixixxjijtin. What is prob of sequence tij?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2083\/5 - 415. Let l be (1 - 13)\/(-6)*2\/2. Factor 2\/5*b**5 + 8\/5*b**4 + 0*b + 0 + 0*b**l + k*b**3.\nAnswer: 2*b**3*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 1 + 3 + (1 + 2 - 1)*(-1 + 2 + 1))*(3*i + 8*i - i - 6)*(-3 - 3 + 4) to x*i + w and give x.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 327 - 327.1. Let q be (-2)\/30 + (-4)\/(-10). Which is the closest to -0.1? (a) 0 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11016 and 3930984?\nAnswer: 200480184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 2*q - 13. Let v be r(9). Find the second derivative of -6*k**5 + 2*k - 16*k**5 + 21*k**v wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5111500.\nAnswer: 2, 5, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.35 - -0.15. Let v = -0.20029 - l. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 27 + -27. Let a = 1.19 - 0.08. Let d = 0.61 - a. What is the closest to l in -2\/9, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 190\/152*(-42120)\/650\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00013 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -145434 (base 7) to base 16.\nAnswer: -6ebb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*v + 160*v + 47*v - 411*v + 50*v + 42*v + 46*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -154*x = 438*x - 1342 + 9038 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -5 - 5*n + 0 + 4*n + 4. Let s(b) = -12*b - 11. Let m(o) = -22*i(o) + 2*s(o). Let t(y) = 4 - 3*y - 4. Give t(m(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -9*w**3 + w + 2. Calculate p(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 7980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -14. Let s be (c + 3)*(-3 + 67\/4). Is 55 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.06? (a) -5 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2920 and 18160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 81, 164, 247?\n\"Answer: 83*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 756*q**2 - 28*q + 1. Let k(r) = 266*r**2 - 10*r. Give -4*f(j) + 11*k(j).\nAnswer: -98*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164277 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/636248, -1\/9, 4, 0, 0.14?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2142 is divided by 186?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -3*x + 7*x. Let n = 15 + x. Let o = n - 4. Solve 0 = -o*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1196*i*u**2 + 267*u**2 with respect to i.\nAnswer: -1196*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4733185?\nAnswer: 5, 19, 49823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ihpq when four letters picked without replacement from shppssishhpissq.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + -1)*(-9)\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of -i**5\/30 + i**4\/24 + i**3\/18 - i**2\/12 - 7. Suppose s(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (-2 - (-7 - -6 - 4)) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -85*u**5 + 36695*u**4 + 110595*u**3 + 110765*u**2 + 36950*u = 0.\nAnswer: -1, 0, 7390\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -143*s = -2*j - 139*s + 723902, 1809671 = 5*j + 4*s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**5 - 1 + 1 + (4*q**2 - q**2 - q**2)*(-q**3 + 3*q - 3*q) - 430*q**2 - 128*q**5 - 3*q**4 + 430*q**2.\nAnswer: -132*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -16*w**2 + 27*w - 15*w - 4*w**3 - 16*w + 3*w**3. Suppose -2*p - 48 = p. Let z be r(p). Do z and 64 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4282 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -137 - -136.99999965. Round f to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -706\/3, 5, 4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 513785, 1027508, 1541213, 2054894, 2568545, 3082160, 3595733?\nAnswer: 4109258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -134*p + 358 + 1253*p - 719 - p**3 + 361.\nAnswer: -p**3 + 1119*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {v: 12, g: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -5*(-3)\/15*3\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and 9.3817?\nAnswer: -2.81451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 4*t**4)*(4*t - 15*t - 12 + t + 2*t).\nAnswer: -32*t**5 - 48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -4013, 3, 11, 4 in increasing order.\nAnswer: -4013, 1, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from tpffftctgfcggpfgpcp.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 343 = -o, 0 = 2*x + 2*o - 0*o + 340. Let f = x - -178. Solve -3*b + 0*b = 5*i + 14, 12 = -4*b - f*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2\/2311, -4, 44 in descending order.\nAnswer: 44, 3, 2\/2311, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 + 10. Let u = 51581.9999872 + -51576. Let n = u - b. Round n to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -65 or -8?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t + 3*t**3 + 0*t)*(-t**2 - t**2 + 7*t**2 + (t + 2*t - 2*t)*(0*t + 5*t - 3*t)).\nAnswer: 21*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ojjooboj. Give prob of picking 1 o and 2 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4\/97599 + -13272004\/35623635. Let z = w + -2\/73. Let r be ((-8)\/12)\/(-3 + 0). What is the biggest value in -5, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1704 - 7?\nAnswer: 16b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -82*x**3 + 0 + 0*x + 18\/13*x**4 + 236\/13*x**2.\nAnswer: 2*x**2*(x - 59)*(9*x - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 130*w - 36 = -1336 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1*2*(-128 + 1 + -6). Let d = k + 914. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 90 - 14. Let o = 22 + q. Let p = o + -91. Calculate the remainder when 22 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31000 divided by 394.\nAnswer: 15500\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -2*v**2 + 4*v**2 - 79*v + 0*v**2 + 0*v**2 as a + y*v + i*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -499*c**3 - 347*c**3 - 446*c**3 + 2 - c**3 - 2 + (-1 - 3 + 3)*(-2*c**3 + 0*c**3 + 0*c**3).\nAnswer: -1291*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -519*i - 558*i + 1074*i + 2516.\nAnswer: -3*i + 2516","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -s - 2*o, 2*s - 21 = o - 5. Calculate the least common multiple of 20 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 138 + 7*t + 6*t**2 - 17*t + 11*t - 29 + 16.\nAnswer: 6*t**2 + t + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -40 - -65. What is the highest common divisor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7\/(28\/8) - 8. Let d be (s\/3)\/((-2)\/20). What is the greatest common divisor of d and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 5*x**3 - x**2 + 2*x - 2. Let y be o(1). Suppose -258 = 9*n - 12*n. Suppose -14 = -y*g + n. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 2*s - 7*s - 6 + s + 6*s. Let q be w(5). Solve 0 = a + q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -123590804 divided by -2\nAnswer: 61795402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 603067691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-4)\/(-6))\/((-1)\/(-18)). Let p be (-3)\/(-2)*16\/i. Solve 0 = 5*f - p*b - b - 31, -4*f + 12 = 4*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**2 - m + 4. Let y(k) = 3*k - 64. Suppose 0*f = -4*t - 3*f + 99, -f + 97 = 4*t. Calculate the remainder when w(-6) is divided by y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1\/6))**(6\/5)\/(h**(2\/9))**(-16) assuming h is positive.\nAnswer: h**(151\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 25 = -5*x. Suppose -x*l = -2*l + 25500. Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**3 + 8*a**2 + 8. Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77.5523 less than 0.173?\nAnswer: -77.3793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 45, -20, -2\/21, 0 in ascending order.\nAnswer: -20, -2\/21, 0, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (y**2 + 5*y**2 - 4*y**2)*(0*y**2 + 0*y**2 + 2*y**2) + 11*y**4 - 15*y + 15*y.\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1721b (base 15) in base 11?\nAnswer: -51163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4506 (base 12) in base 13?\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 253 (b) 4 (c) 5 (d) 26 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 11665251 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-8) + (-31853)\/146644.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5 + (-1)\/((-3)\/(-6)). Suppose -2*a - a = 5*r - 37, 2*a - i = r. Suppose 3*m = a*g - m - 4, 5*g + m = 11. Solve -g = -b - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1976\/40 - -3) + -4*1\/10. Let y(u) = u**2 + 22*u - 21. Let t be y(-23). Calculate the greatest common divisor of t and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 86812, 347247, 781300, 1388971, 2170260, 3125167, 4253692?\n\"Answer: 86809*h**2 + 8*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of 5 + b**3 + 0*b**5 + 0*b + 1\/3*b**6 + 0*b**4 + 0*b**2. Find the third derivative of z(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1334 + 0?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -157, -1.46, 1\/3, 3, -2?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 + 1)*(70 + -66). Let v(r) = 0*r - 2 + r + r. Determine v(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -12, 0.36, -3, 0.4 in increasing order.\nAnswer: -12, -3, 0.36, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < -3\/99524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -0*q - 20. Let h be (-20)\/6*12\/q. Suppose 4*g - h = 2*g. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 10 = 235. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 953 + -953.00001444. Round b to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m = -29*m - 96. Suppose 0 = -4*i + 1 + 7. Suppose 2 + i = -l. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/(-7) + 2991\/7. Suppose 3*h - 4*t = j, 4*t = 4*h - 0*t - 568. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2683 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/10*360\/135)\/((-2)\/90).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*g - 2*g + 2*g + (-4 + 2 + 3)*(5*g - 4*g - 3*g) + (6*g - 14*g + 3*g)*(11 - 28 - 130) as q*g + n and give q.\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the second derivative of 0 + 2\/9*v**3 + 67*v - 1\/72*v**4 - 5\/4*v**2. Factor t(x).\nAnswer: -(x - 5)*(x - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 4*f - 6, x - 3*f - 3 = -1. Suppose 3*m = -x*i - 0*m, -4*i + m + 14 = 0. Suppose t = 3*u - 6, i*u = 4*t - 14 - 7. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.95 - 2.95. Let l = 0.2 - -0.3. Which is the nearest to f? (a) l (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 + 9*y**2 + 3*y + 3. Is z(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 1:33 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4728 - -7906. Is (k - -3)\/(-9 + 10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -102 - -105. Suppose -2*z + u = -220, -z + 2*u = l*u - 107. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1497103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1310839, 2621953, 3933067?\nAnswer: 5244181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the third derivative of b**5\/60 + b**4\/3 - 148*b**2. Determine s, given that l(s) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 991904 and 611912.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -624.4 or 3486?\nAnswer: -624.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 - j**2 + 11. Let d(g) = -g**3 + 12*g**2 - 5*g - 23. Calculate the remainder when d(11) is divided by u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 - y**2 + 4*y + 66. Let d be u(4). Find f such that -1\/10*f**d + 7\/10*f - 1 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 1) + -4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 66582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64 and 1072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*h**2 - 9*h**2 + h**3 - 4*h**2 - 6*h**4 + 2*h + 11*h**2 to b + t*h**4 + r*h**3 + u*h + j*h**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from fofoffooofoofooffgfo.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 + 1. Let o be h(1). Let f(l) be the first derivative of 1\/2*l**2 - 2\/3*l**3 + 5 - l. Calculate f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 387833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from kkkikkhkyyihihykhik.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 35, 58, 81, 104, 127, 150?\n\"Answer: 23*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 - 1. Let z = 12 + -17. Which is the closest to 2? (a) 0.2 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -a + 997, 2*a + a - 3013 = -y. Let b = a - 974. Solve 3*o + b = 37 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 3, 1.055, -1, 0.2, -0.2, 2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 219665072 divided by -583.\nAnswer: -376784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 48\/(-9) + 6 + 617\/(-3). Let a = 653 - 346. Let p = a + t. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1217506.\nAnswer: 2, 17, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-10)*3 - (-207)\/45\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-10) + (-8)\/(-80)*-4. Suppose 0 = -n*v - 4*v + 12. Suppose 0 = -q - v*q. Solve q = j + 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d**2 + 89755768*d - 503506118079364 = 0. Calculate d.\nAnswer: 11219471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:03 PM and 6:46 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2739354.\nAnswer: 2, 3, 456559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*w - 65*w + 22*w = 34*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -1122*r**2. Let s(d) = -5*d. Determine x(s(b)).\nAnswer: -28050*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 364136, 364111, 364088, 364067, 364048, 364031, 364016?\nAnswer: 364003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -41812 + 376874\/9. Let f = 61 - z. Calculate the common denominator of f and -33\/17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**3 + 0*u**3 - 3*u**3)*(0*u + 0*u - 2*u + (3 - 4 + 3)*(-u + 0*u - 3*u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -79016, -158044, -237070, -316094, -395116, -474136, -553154?\nAnswer: -632170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6340608*x**2 + 14615321 wrt x?\nAnswer: -12681216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 23*n + 14. Let h be ((-272)\/(-24))\/((-10)\/15). Let a(d) = -8*d - 5. What is h*a(u) - 6*i(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/((-360)\/(-375))*(-3)\/15?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/54 and -1 + -2 - (-396)\/64.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 141 and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 13 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5 - (0 - (0 + -3)). Suppose i*y + 2*y = 5*d - 26, -2*y - 10 = -2*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 = 12 + 18. Let s = c - 19. Calculate the highest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -776 - 1660606?\nAnswer: -1661604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (156\/208)\/(18\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -343*f - 390 = -265*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -4 (b) 34 (c) 5 (d) -5 (e) -0.03 (f) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 144 - 65. Let g = r + -79.05. Round g to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w + 4*o - 489 = -9*w, 0 = 3*w - 5*o - 1467. Let s = -253 + w. List the prime factors of s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -516 - -517. Which is smaller: -12\/73 or i?\nAnswer: -12\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 4*u = 27, 3*o - 18 = -0*o - u. Suppose -5*n - 1815 = -4*l + 3629, o*n = -2*l + 2752. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - 0. Let q be -2 + 2 + (t - -16). Suppose w - q = 28. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 2*v + 1. Let p(g) = g**2 + 7*g + 3. Let j(k) = -7*m(k) + 2*p(k). Let i be j(-2). Suppose 0 = -2*y + i*y. Let x(s) = s + 8. What is x(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 16655852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 u when three letters picked without replacement from upupuuuuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + p = -14, -5*f + 2*p + 6 = 3*p. Suppose 2*z - f*h = z + 18, 2*h = -2*z + 30. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -98, -184, -268, -350, -430, -508, -584?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -14\/27, 4052\/19, -2?\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) 7 (c) -21.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.182 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/164 and 37\/804?\nAnswer: 32964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 b, and 2 c when four letters picked without replacement from {b: 5, c: 4, a: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be -21 - (-756)\/35 - (-4983)\/20. Which is smaller: n or 251?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 + 7*d - 1. Let l be (3*(-8)\/2)\/(-2). Let w be h(l). Sort w, 3\/2, 2 in increasing order.\nAnswer: 3\/2, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -7, 7, -4, 1, -5, 41.\nAnswer: -7, -5, -4, 1, 3, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: -129042 times 83\nAnswer: -10710486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 8 = 3*h + 4*g, -3*h + g = -6. Suppose 1 = -q - 3*t - 2, h*q - 34 = 2*t. What are the prime factors of -4*((-74)\/2 - q\/16)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 40\/219 and -54\/1825.\nAnswer: 5475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 24\/(-16)*16\/(-4). Suppose -w - f = -7*w. Sort w, -5, 5, 9 in increasing order.\nAnswer: -5, w, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -2\/5 (b) 34 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 220, 451, 708, 1003, 1348, 1755, 2236?\n\"Answer: 2*b**3 + b**2 + 214*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by -51.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 3:23 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 480 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7)\/((-14)\/1))\/((-1)\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor t**4\/4 - 2*t**3 + 5*t**2 - 4*t.\nAnswer: t*(t - 4)*(t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {b: 1, a: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 763, 1245, 1705, 2137, 2535, 2893, 3205, 3465?\n\"Answer: -g**3 - 5*g**2 + 504*g + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8417?\nAnswer: 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*j = -18*j + 100. Let d(i) = -i**2 - 48*i + 25. Is d(j) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 16 = -3*h + 5*d, 3*h - 3*d - 12 = 0. Let x = 8 - 4. Let v(m) = -6*m + x*m - 3*m - 5 + m**2. Determine v(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-7))\/(900\/63000)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, p: 1, m: 2, a: 1}. Give prob of picking 1 m and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -3959, 1, -2 in descending order.\nAnswer: 1, -2, -3959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-27*t - 87*t + 31*t)*((0*t - 5*t + 6*t)*(-2*t - t + 6*t) + 35*t**2 + 45*t - 45*t) to the form k*t + x*t**2 + q*t**3 + y and give q.\nAnswer: -3154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the first derivative of -z - 2\/5*z**5 + z**3 - 1\/2*z**2 - 1 + 1\/4*z**4. Factor a(d).\nAnswer: -(d - 1)**2*(d + 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -800 divided by -160.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*x - 18 = f + 4*x, 0 = -5*f + 3*x - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -899860*g**4 - 2108739*g.\nAnswer: -10798320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 10*q**2 - 4*q - 3. Give f(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - 2*m**2 + m - 2. Let t(d) = -5*d**3 - d**2 - 15*d - 5. Calculate -4*b(h) + t(h).\nAnswer: -h**3 + 7*h**2 - 19*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*i - i**4 - 2*i**2 + 14*i**2 - 9*i**2 - i + i**3 to the form s*i**4 + b*i**2 + a + y*i + k*i**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor b**2 - 6*b**2 + 145200 - 2*b**2 + 10*b**2 - 1320*b.\nAnswer: 3*(b - 220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 359352 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1833071312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:32 PM and 5:46 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 + 4*h**2 + 2*h + 4. Let o be u(5). Let w = 7 + o. Let v be (6 + -2)*(-3)\/w. Which is the third biggest value? (a) v (b) -4\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.02 in -3, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -53.93 - -50. Let k = y - 0.07. What is the smallest value in 0.1, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -3) + 2 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4055 - 4054.87. Which is the nearest to -0.1? (a) -0.22 (b) 11 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*k*y + 1004352*k - 92*y + 22591 with respect to k.\nAnswer: 4*y + 1004352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2991 divide 526496757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2160, -2079, -1992, -1893, -1776, -1635?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 15 = -5. Let t(x) = x**3 - 5*x**2 + 7*x - 4. What is the units digit of t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 96*l + 234*l - 111*l + 1 to the form n*l + t and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.597 - 2.9. What is o rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4.2, -1, -0.1468, -3?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -3*n**2 + 3*n. Let d be s(-4). Let w be (3 - d\/(-18)) + (-1048)\/(-3). Suppose 99 = -10*v + w. What is the greatest common divisor of v and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the third derivative of -m**7\/210 + 13*m**5\/20 - m**4\/6 - 9*m**2. What is the second derivative of v(g) wrt g?\nAnswer: -12*g**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/21)\/((-12)\/84).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-15)\/(-9) + (-336)\/(-9). Differentiate 30 + 19*r - 18*r**2 - 20*r**2 + o*r**2 wrt r.\nAnswer: 2*r + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23288 is divided by 3881.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 1. Let f(r) = -r**2 + 7*r - 10. Let j(n) = 4*c(n) + f(n). Let v be j(4). Calculate the highest common factor of 48 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -4*k, 50*k - 46*k - 31 = 5*s. Suppose -o = 3*o - 20. Let w(i) = 3 + o*i - 4*i - 2. Let h(t) = -1. Determine s*h(b) - 3*w(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oqooooqoqoooooo. What is prob of sequence oooo?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -675, -286 in decreasing order.\nAnswer: -0.3, -286, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 319\/785 + -1\/157. Let i = -64.4 + 63.9. Is i > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 264322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -31 + 27 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17.368 + 17.36816733. Round c to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 31.49 - -0.51. Let f = -49 + s. Let z = f + 16.9999973. What is z rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10598 = 91*a - 77*a. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 393 = 11*l - 630. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30061541 - -0.2825.\nAnswer: -30061540.7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 2*g - 5176, g + 2598 = h - 3*g. Calculate the remainder when h is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = -3*p - 5, -t + 2*p = -2 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -6*h**4 + 28*h**2 + 6*h + 19. Let q = -10 - -11. Let v(f) = f**4 + f**2 - f. Let o(l) = q*k(l) + 4*v(l). Find the second derivative of o(m) wrt m.\nAnswer: -24*m**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17 + 16.8. Let h be 6\/9*3\/35. Let n = -19\/35 - h. Which is the biggest value? (a) r (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 2*v)*(-2*v**3 - 2*v**3 + 2*v**3) + 0*v**2 - 391*v**4 - v**2 + 409*v**4.\nAnswer: 22*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-b + b + 2*b)*(4 - 4 - 2*b)*(0*b + b + 0*b + (1 - 1 - 3*b)*(-2 + 4 + 0) + b + b + b) to d*b + z*b**3 + c*b**2 + f and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 33*w**2. Let x(b) = -1078296*b**2. Give j(x(a)).\nAnswer: 38369834699328*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*(n*n*n\/((n*n\/n**(-2\/13))\/n))\/n*n*n*n\/(n\/(n*n\/(n\/((n\/n**(-14))\/n*n)*n))*n)*n*n)**(-1\/2) assuming n is positive.\nAnswer: n**(-129\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32 - 32 - 4*p**2 + p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 102 (base 5) to base 8\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-6)*(432\/(-27))\/(-256).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-6)*f*f)\/(f*f**(-1\/6)))\/((f\/(f*f*f\/f**9))\/f*f**(-3)))**(-30) assuming f is positive.\nAnswer: f**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 4, -0.2, 0, 0.1, -0.7, -0.4, -1191.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -6775 (b) -15\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 3*p**3 + 2260*p**2 + 3059*p + 38348. Give h(-752).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 5, 3*n - 5*q + 0*q = 7. Let s be n\/(-6)*(-1677)\/(-26). Let y = s + 61. 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 a be (-4 - -1)\/(6\/(-16)). Suppose -2*s + 18 = -a. Let k = -745 + 750. What is the remainder when s is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of w**4\/2 + w**3\/3 - 22*w**2 + 84*w + 107. Let t(z) be the first derivative of y(z). Differentiate t(j) with respect to j.\nAnswer: 12*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*(q\/(q*q**1*q))\/q)**(-16))**12 assuming q is positive.\nAnswer: q**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tyt when three letters picked without replacement from hhthyyyyht?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 0.5. Let o = -27 + 18. Let i be (-3)\/o*6\/5. Which is the nearest to -0.2? (a) -2 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the third derivative of v**7\/35 - v**6\/20 - 17*v**4\/12 + v**3\/3 - v**2 + 101*v. Find the second derivative of x(d) wrt d.\nAnswer: 72*d**2 - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 7*l**3 + 5*l**2 + 5. Let x(p) = 20*p**2 - 4*p**2 + 16 + 18*p**3 + 4*p**3 + 0*p**3. Let c(v) = -v - 1. Let j be c(-6). Determine j*x(g) - 16*t(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m**2\/3 + 3236*m\/3 + 6464\/3 = 0. Calculate m.\nAnswer: -1616, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -2*v**2 + 559*v. Let b(j) = -2*j - 2. Let r(x) = -15*x - 16. Let i(c) = -8*b(c) + r(c). Calculate i(k(f)).\nAnswer: -2*f**2 + 559*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (0 + sqrt(14)\/sqrt(7) + sqrt(2) + sqrt(2) - (sqrt(42)\/sqrt(3))\/sqrt(7))**2 + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -5*p - 3. Let c(u) = -u - 1. Let a(o) = 9*c(o) - 2*f(o). What is the remainder when a(5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22200 is divided by 1169?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be 8\/(-20) - 2410\/(-25). Factor -3*f**2 - 3849 + q*f + 1923 + 1926.\nAnswer: -3*f*(f - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 668*p**4 - 2454.\nAnswer: 2672*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -791 - -1162. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 7050012 = -6*n - 5*x, 3*x + 28200048 = 4*n. Suppose -5*t + n = 3*c, 2*t + 3*c + 52422 = 2872434. Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 469279674 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be -10 + (-160)\/(-6 - 2). Solve -2*l + 3*n - 7 = 0, 2*l + 3*l - 5*n = -w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 - (74 + -63 - -13)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -252 times -11?\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 2*j**3 - 11*j**2 + 5*j - 3. Let w be ((-6)\/12)\/(6\/(-180)*3). Let t be i(w). Which is the closest to -52? (a) -4 (b) -0.5 (c) 2\/19 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000017920501 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of -w**4\/72 - w**3\/12 - w**2\/6 + 22*w. Solve x(u) = 0 for u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 116989416, 116989415, 116989414?\nAnswer: 116989413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (89576*x + 6385*x**2 + 6387*x**2 - 19134*x**2 + 6360*x**2)*(-1 + 4 - 5) in the form f + c*x + g*x**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21 + -11022?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 177 = -0*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 304, 416, 530, 646, 764, 884?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4269945 and 310.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 111 a factor of 96896829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 38*k - 78. Let y be g(10). Is y >= 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-9))\/((-7)\/(-21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -2*c + 3. Suppose 14*r - 13*r + 2*p - 6 = 0, 5*p = -5*r + 40. Calculate u(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -124018 or -124011?\nAnswer: -124011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 + 7*k**2 + 2*k - 12. Let x be h(-6). Suppose 0*d - 15 = -4*d - 5*l, 0 = d - 4*l + x. Suppose d = 5*n + 336 - 1121. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -179, 4, -4364?\nAnswer: -4364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (2 + -5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11132*i = 11101*i + 92380. What is the least common multiple of i and 3725?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + 2. Let j(u) = -17*u**3 - 4*u**2 + 28*u - 28. Let y(q) = 4*q**3 + q**2 - 7*q + 7. Let g(b) = 2*j(b) + 9*y(b). Is g(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14639*j**3 + 7316*j**3 + 111*j**4 + 7314*j**3)*(3 - 3 - 2*j).\nAnswer: -222*j**5 + 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 + 3*y + 4. Let v be z(4). Suppose v*k = -k + 379. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**2 + 3. Let f = 52 + -31. Calculate the remainder when f is divided by s(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 160586*s**3 - 2*s**2 + 2*s - 1. Let v be c(1). Suppose 28*g - v = 4531. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -9*b - 5*b + b + (-155 - 240 - 8)*(-2 - 2*b + 2).\nAnswer: 793*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x, 1 g, and 1 p when four letters picked without replacement from {w: 4, p: 3, g: 3, a: 7, x: 2}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-3 + (-2*(sqrt(2057) + 0) + ((0 + sqrt(2057))*-1 - sqrt(2057)))**2 + -5).\nAnswer: -131616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 252079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2 and 1178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = -0*m + 16455. Let a = m + -39553\/12. Find the common denominator of a and -95\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 161 in -3, -1.3, 2204?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -33*u + 15 + 124 + 16 + 23*u. Let k be o(15). Solve -1 - 3 = -4*w - 5*q, k*w - 5 = 4*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(1\/(-8))\/((-54)\/360*10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 150 = -3*n, 3*n - 16 = -24*i - 82. Let y = -3 + 7. Let b = 2 + y. What is the greatest common factor of n and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of -v - 10. Let n(r) be the second derivative of r**5\/10 + r**3\/6 - r**2\/2 - 456*r. What is -2*a(f) + n(f)?\nAnswer: 2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 243.23915 days?\nAnswer: 34.74845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 10\/(-25) - 17\/(-5). Let g(q) = 3*q - 1. Let c be g(5). Suppose 4*w + 2*t = -c, 0 = 2*w + 3*w - t. Sort 0, w, d in descending order.\nAnswer: d, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 2*o + o = 15, -15 = -3*l - 3*o. Let m be (l\/2)\/(-5 - -6). Let t(k) = k - 1. Let w be t(m). Put 5, w, -5 in increasing order.\nAnswer: -5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**5\/((l**(-1\/7)*l)\/l))**(1\/4) assuming l is positive.\nAnswer: l**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (2*i + 0 + 0)*(-11043*i**2 - 168711 + 168711) in the form k*i + m + a*i**3 + p*i**2 and give a.\nAnswer: -22086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -9*b**2 - 174*b - 1449. Let x = -77 - -102. Let f(y) = 55*y**2 + 1045*y + 8695. Let w(g) = x*q(g) + 4*f(g). Solve w(i) = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (64 + -86)\/((-1)\/(-2)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 2*b = -18. Does 7 divide (-12)\/10*150\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 2*c**3 - 791*c**2 - 48*c - 5. Let o(h) = h**3 - 790*h**2 - 36*h - 4. Give 3*k(p) - 4*o(p).\nAnswer: 2*p**3 + 787*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*h - 44 - 61 = -4*v + 82, -5*h - v + 110 = 0 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from {r: 1, v: 3, n: 2, k: 6}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p - 298 = -284 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171581 is divided by 171581.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -3*y + 1. Let f be v(-2). Let l = 14 - -1. Let j = l - f. What is the remainder when 15 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1 + 3*(-2 - -3). Let b(g) be the first derivative of -1\/7*g**2 + 1\/14*g**4 - 2\/21*g**3 + 2\/35*g**5 + p + 0*g. Find q such that b(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - ((-37 - (9 + -22)) + -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (60\/(-20)*(-22)\/(-165))\/(1\/(-215))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 69431361 > 69431361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + c - 2 + 3, -4*c - 4 = -2*h. Let d = h + 14. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1.47 >= -774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.635 + -0.635. What is the biggest value in -1\/6, b, 0.05, -25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -37 - -116. Is 80 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {d: 1, r: 2, m: 6, s: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2\/11871 + -35605\/47484. What is the second smallest value in -53, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/19, -0.1, 164, 4, 0.5 in descending order.\nAnswer: 164, 4, 0.5, -0.1, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/216*6*2640\/4510.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 1 + 56 = 0. Let i = 17 - n. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the first derivative of z**4\/24 - 7*z**2\/2 - 2. Let w(f) be the second derivative of t(f). Let o(r) = 4*r**2. Determine w(o(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 86 in 2236, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -f - 0*f. Suppose -6*c + 9 = -15. Put 1, f, c in decreasing order.\nAnswer: f, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 466812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.607754 to three dps.\nAnswer: 0.608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -230 + 868 + 390 + 2419*o + 1232 + 320 with respect to o.\nAnswer: 2419","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1171*f + 4195*f - 2152*f to d + x*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -293*d - 993*d - 1607*d to the form y*d + f and give y.\nAnswer: -2893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 3 (c) 0.3 (d) 0.03 (e) 476864 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -35 + 35. Let q = 59 - 62. Let h be 5*((-4)\/q)\/(20\/12). What is the closest to k in h, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -224, -452, -684, -920, -1160?\n\"Answer: -2*v**2 - 222*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2382211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 886253 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -2040021 (base 5) to base 14.\nAnswer: -c437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + sqrt(275) + 2 + sqrt(275))*3.\nAnswer: 6 + 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k - 13 + 181. Let l = -1907 - -1913. What is the lowest common multiple of l and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*s**2 + 5*s**2 + 0*s**2)*(-7 + 36 + 9)*(2 + 1 - 5).\nAnswer: -760*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 5649*h - 101654. What is y(18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 435430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (-5 + 6 + -4) - (-4 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/(-22)*(-44)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttjktzjktk. Give prob of picking 2 t, 1 z, and 1 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 - 62*p + 283. Let i be k(57). What is the closest to 0 in i, -1\/8, 3, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 - 6*s**2 + 2. Let o be z(-6). Let k = 4 - o. Suppose m = -0 + k. Solve 5*f + 25 = 0, -2*v = -0*v - m*f - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 3*o + 9 + 11, 16 = -o + 4*c. Suppose 4*q + 5 = i - o*i, 0 = 2*q. Suppose -29 = -i*k - 9. Solve -2*h + k = -3*t, 2*t = 4*h - 9 + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3494161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -372*d**2 + 2*d + 70779. What is the hundreds digit of b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q = 5*w + q - 20, 0 = -2*w - 5*q + 31. Find the first derivative of -18 + 17 + 2*b**w - b**3 wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -5*m**2 + 8. Let r = 51 - 53. Let a(n) = -11*n**2 + 8*n - 2. Let b(i) = -4*i**2 + 3*i - 1. Let z(p) = -3*a(p) + 8*b(p). What is r*o(h) - 9*z(h)?\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the third derivative of -h**4\/24 - 7*h**3\/3 + 11*h**2. Give z(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*w**5 - 15*w**2 + 18*w**5 - 20*w**2 - 3*w**5 - 6*w**5 + 774*w wrt w.\nAnswer: 280*w**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (207\/(-138))\/(-1 + (-143)\/(-125)) and -95\/148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, x: 1, d: 13, j: 2}. Give prob of sequence dd.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*r - 4264 = 12*r. Let v = r + -488. What is the greatest common divisor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -2*d + 16. Let p be r(7). Solve -3*c + 13 = p*f, -3*f + 18 = 3*c - 0*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 125*z - 6934 + 10434 = 0 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17 - -18.5. Which is the second smallest value? (a) 0.3 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1367446, 2734929, 4102412?\n\"Answer: 1367483*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2*5.85\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 15147.82 centimeters to millimeters.\nAnswer: 151478.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 38\/5, 13157104, 1 in ascending order.\nAnswer: 1, 38\/5, 13157104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2a - -416264?\nAnswer: 416235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 121 + -21?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 1369000 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-18) - 248\/18. Let q = 28 + n. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/7, 1, -0.3, -30, -3\/37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 1013*d**2 + 3*d + 2. Let k be w(-1). Suppose k = 5*f + 3*u, 0*f + 4*f + u = 804. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1817 - -7269\/4. Let l(r) be the third derivative of 3\/2*r**3 - u*r**4 + 0 + 10*r**2 - 1\/20*r**5 + 0*r. Solve l(z) = 0 for z.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u**3 + 17*u**2 - 67. Let w be a(-8). Is w at least as big as -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 3*(-1*sqrt(2662))\/(sqrt(162)*-3)*4.\nAnswer: 5 + 44*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of 4*l**3\/9 + 232*l**2\/3 + 13456*l\/3 - 31. Find p such that f(p) = 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.666 + -0.334. Let i = 1 - -9. Sort -4, i, u in decreasing order.\nAnswer: i, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2824 from -441.\nAnswer: -3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (x + 2*x - 2*x)*(-4 + 2*x**2 + 4) + (-x - 1 + 1)*(14 - 14 + x**2).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 45*q**2*u**3 - 2*q**2 + q*u - 145*u**3 with respect to q.\nAnswer: 90*q*u**3 - 4*q + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 + 13. Let s = 4 - p. Let k = s - -2.008. What is k rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 313\/1565*(-1 + (-39)\/6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from myt. What is prob of sequence tm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2, -77, -236, -481, -818, -1253, -1792, -2441?\nAnswer: -3206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 - (11 + -20 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3372 + 5832 = -12*q. Let y = q + 13807\/18. Which is the second biggest value? (a) -0.3 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 206891568 and 1443?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-23)\/(115\/(-10))*5\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (1443\/(-74))\/(-13)*((-2)\/10)\/((-444)\/120)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -187, -186, -185, -184?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 607 is divided by 138.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10569*y + 35*y**2 + 10569*y - 3*y**3 to the form u + k*y + m*y**2 + c*y**3 and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10564\/4199 - (-4460)\/3791.\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1900) - -3*sqrt(1900)) + 0 + sqrt(1900) + 6*sqrt(1900)*1 + sqrt(1900))**2*-1.\nAnswer: -273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 680 = -6*u. Let v = -728 + 775. What is the remainder when u is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6667736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*p = -14*p - 47388. Let g = p - 4735. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the first derivative of -y**3 + 84. Determine p(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 65\/(-10) + (-3)\/(-2). Let f(x) = -x**2 - 10*x + 10. Let v = 27 + -38. Let n be f(v). Sort n, 6, d.\nAnswer: d, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-1)\/((-15)\/84))\/(1081\/705). What is the third smallest value in 1, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283.81344 months in centuries?\nAnswer: 0.2365112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 15562176 (base 8) to base 4.\nAnswer: 31232101332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 7*f**3 + 14*f**2 - 3*f - 2. What is o(-3)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -2*m**5 + 12*m**4 - 20*m**3 + 22*m - 12 = 0. What is m?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04437633 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29 - -181\/6. Let f be (-2 + 10)*9*-1. Find the common denominator of 371\/f - 10\/45 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -99772 divided by 1\nAnswer: -99772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -1200?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 531273, 531357, 531491, 531675?\n\"Answer: 25*n**2 + 9*n + 531239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 - 9. Suppose 25 = -3*r - n*s, -3*s = 11 + 4. Solve -4*y = y - 3*v - 5, 3*y + 2*v - 3 = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*n - 66 = 8*n - 3*r, 3*r + 110 = 5*n. Is 17 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 - -1 - (-10)\/(-5). Let x(s) = 6*s**3 + 2*s + s**2 - 3*s - 2*s**2. Calculate x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 62441794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11\/(990\/12))\/((-20)\/(-75)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 + -3 + (5 - 2). Let a be (17\/3 - 3)\/(x\/147). Let s = -175 + a. List the prime factors of s.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -17 by -186.\nAnswer: 17\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1789260 divided by -59642?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ionofoeeeiifioeioei. Give prob of picking 2 f.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 23 + 24 + -28 + 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**3 - 8*c**2 + 6*c + 12. Let v be y(7). Suppose -23 = -4*o - 3*l, 4*o - 6*o + 2*l = 6. Solve -4 = -v*z - 2*n + 5, n - 4 = -o*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8869 and 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 103832 or -150?\nAnswer: 103832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -196839.922 rounded to the nearest one thousand?\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 50 less than -2510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 8001174 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -1\/2134?\nAnswer: -1\/2134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 66106 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -10011101110111000000 (base 2) to base 10.\nAnswer: -646592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4221, 8447, 12673, 16899, 21125?\nAnswer: 25351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9238345?\nAnswer: 5, 37, 49937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*g + 30*g. Let y(w) be the third derivative of g*w + 1\/3*w**3 - 14*w**2 + 1\/60*w**5 + 0 + 1\/24*w**4. Give y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -42571 + 68?\nAnswer: -42505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 + 0 - (2 + 2). Let j(m) = 30*m. Let c be j(h). Let a = 49 + c. Calculate the remainder when 37 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3 - -6) + (-13 - -12). Suppose m*i - 45 = 5*v + 30, 164 = 4*i + 4*v. What is the smallest common multiple of i and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 91\/1210?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 14*g**2 + 385*g + 58. Calculate t(-25).\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (2*sqrt(605) + -3 + sqrt(605) + 3*(sqrt(605) + (sqrt(605) - (1 + sqrt(605)))) + -2)*-3.\nAnswer: -198*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2.4861 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -46*x**3 + 38 - 20 - 3*x + x**4 - 20 + 58*x**3 - 2 to c + z*x + q*x**4 + a*x**2 + m*x**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*c**3*r - 4513*c**2*r - c*r + 3*c + 72*r - 5 wrt c?\nAnswer: -12*c*r - 9026*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 o when four letters picked without replacement from uluohulollovo?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of f**5\/60 + 3*f**4\/8 + 2*f**3\/3 + 2*f**2. Let s(o) = 8*o**2 - 165*o - 71. Let q be s(21). Give w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o**5\/9 - 74*o**4\/9 + 1420*o**3\/9 + 42280*o**2\/9 + 149872*o\/9 + 143104\/9 = 0. Calculate o.\nAnswer: -43, -16, -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 1271*r + 63382 = -203*r for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 85.346355 to 2 dps.\nAnswer: 85.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pppgppppgppgppp. Give prob of sequence pggp.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**3 - 5*q**2 - 2*q - 6. Let t be x(-5). Let o = 76187\/9 - 8547. Let s = 82 + o. Which is the third biggest value? (a) s (b) -3\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1130370 + 6796835\/6. Is 2435 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -374*g**4 + 8*g**3 + 2*g**2 - 12222*g?\nAnswer: -4488*g**2 + 48*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/5, -3, 3\/2, 3\/7 in descending order.\nAnswer: 3\/2, 3\/7, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1646 + -1650. Let q be ((-2)\/(-4))\/(1\/(-10)). What is the third biggest value in q, y, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -2084936*v + 0 + 2084925*v + 0 - v**2 + 0. Give z(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1\/6))**28 assuming u is positive.\nAnswer: u**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y. Let m(s) be the third derivative of s**4\/24 + 10*s**3\/3 + 205*s**2. Give q(m(i)).\nAnswer: -2*i - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -12*f + 575. Let z(h) = 5*h - 287. Let g(x) = 3*p(x) + 5*z(x). Let c be g(26). Put c, 2, 60, 3 in decreasing order.\nAnswer: 60, c, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(3\/5)\/r*r**(3\/16) assuming r is positive.\nAnswer: r**(-17\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 2 + 9 + 7*v**2 - 7.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 + 4 + 4)*(76*z - 114*z - 120*z) to k + h*z and give h.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -16 - 5*f**3 + f**3 + 0*f**3 + 12*f**2.\nAnswer: -4*(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 185513 is divided by 847.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 4 + 27 - 20 = -3*v - 13, -2*v = 4*l + 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {t: 9, x: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be (42\/(-49))\/((-3)\/21*2). Solve 6*b = -s - 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 3*v - 2 = 0, 2*v = -31*a + 32*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = 3011 - 221. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 485882 is divided by 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27703128?\nAnswer: 2, 3, 1154297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 12:17 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the first derivative of -y**5 - 20*y**4 - 70*y**3\/3 + 40*y**2 + 75*y - 1247. Determine o so that j(o) = 0.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8512 or -417138\/49?\nAnswer: -417138\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -1682*d**3\/3 - 3213142*d**2\/3 - 504475328*d + 6740418048 = 0.\nAnswer: -27888\/29, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + f - 3 - 2, f + 10 = -2*h. Let r(w) = w**2 - w. Let l(u) = 4*u**2 - 3*u. Let j(g) = h*r(g) + l(g). What is the second derivative of j(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -52, -25, -1, 5, -75 in increasing order.\nAnswer: -75, -52, -25, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 84 = 417*u - 405*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -70, -132, -192, -250, -306, -360, -412?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + 2*t**3)*(-4*t + 0*t + 2*t) + 1 - 2*t**4 - 1 - 282 + 282 - 71*t**4 as s*t**3 + o + c*t**2 + n*t + m*t**4 and give m.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -18*b - 1468. Let n(i) = -28*i - 2201. What is -8*k(v) + 5*n(v)?\nAnswer: 4*v + 739","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xaaqqaxaqqqaaxaaqj. Give prob of picking 1 j and 1 a.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express ((3 - 2 - 3)*(-40 - 21 - 55) + (3 - 1 + 0)*(-1 + 2 + 1) - 4 + 2 + 1)*(-3*g + 0*g + 5*g + (-g + 2*g - 4*g)*(1 + 4 - 3)) in the form p*g + i and give p.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-2)*w\/(w\/w**6)*(w**1)**(24\/7))**(-41) assuming w is positive.\nAnswer: w**(-3567\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 131?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 - 4*m**2 + 8*m + 14. Let i be s(-5). Is i\/(-2 + 5115\/2559) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -698272 by 4.\nAnswer: -174568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -3*q + 7*q - 3*q + 6. Calculate the lowest common multiple of 4 and m(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 1 = -13. Let i(x) be the first derivative of 3\/2*x**2 - x**b + 3 - x + 1\/4*x**4. Suppose i(a) = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 4*o - w, -5*w + 5 = -5*o + 20. Suppose -5*m + 0 - o = 0. Which is the closest to -0.06? (a) -2 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -8, 0, -59, 18, -159, -1 in increasing order.\nAnswer: -159, -59, -8, -3, -1, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*s - 23 + 71. Calculate the remainder when 78\/4 + s*(-3)\/(-12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 7*p**2 - 8*p + 5. Let d = -8685 - -8690. Let k(c) = -c**2 + 4*c - 1. Let m(i) = -2*i**2 + 7*i - 2. Let z(s) = 5*k(s) - 3*m(s). Give d*z(v) - f(v).\nAnswer: -2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be (14\/(-5) - -3)\/(2\/10) - -7. Solve -4*x + 5*d + 32 = 0, 3*x - 5*d = l*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85*h = -62*h - 294. Put 2\/11, h, 0.04, 1\/3 in descending order.\nAnswer: 1\/3, 2\/11, 0.04, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000006143 rounded to 7 dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((7380\/82)\/10)\/13?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -515072 divided by -5.\nAnswer: 515072\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**2 + 3*w + 3. Let h be k(8). Let r = h - -140. Let d = r - 46. What is the remainder when d is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 15 + 18*z**2 + 15*z - z**2 - 80*z**3 + 81*z**3. Let w = 1 - 17. What is the tens digit of t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -2*d + 923. Let f(t) = -3*t + 1384. Calculate 8*a(p) - 5*f(p).\nAnswer: -p + 464","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z**3 + 225*z**2 - 5616*z + 46656 = 0 for z.\nAnswer: 24, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*m - b - 78 = -5*m + 15*m, 12*m + 432 = 3*b for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-1)*(-102)\/306.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 248 divide 245175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 2657.2 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 2:55 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 78237, 166329, 254421, 342513?\nAnswer: 430605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8784 + -4208. Suppose r = 47*y - 39*y. What are the prime factors of y?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = 5*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is (-5)\/50*-6321886 + ((-24)\/(-10) - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30.256 - -2.022.\nAnswer: -28.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1479939007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.597, -47, -2\/21, -0.4, -2.\nAnswer: -47, -2, -1.597, -0.4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -15216*u - 55 = -15205*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 35 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the first derivative of -415*k**3 + 761*k**2 + 82. What is the second derivative of b(j) wrt j?\nAnswer: -2490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-66))\/((250\/(-75))\/10)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.258323km to centimeters.\nAnswer: 825832.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(152) + (sqrt(152) + -3*sqrt(152)*1 - sqrt(152)) - (sqrt(152) - (sqrt(152) + (sqrt(152) - sqrt(152)*1)))*1)\/(6*(sqrt(56)*3)\/sqrt(7)).\nAnswer: -5 - sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) - (sqrt(252)*1 + sqrt(252)))**2 + (sqrt(175)*-1 + sqrt(175) + sqrt(175))**2.\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 1\/29, -0.5, 0.4, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 - x + 1. Let w(z) = 6*z**2 - 4*z - 29. What is 4*p(a) - w(a)?\nAnswer: -2*a**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 44 and 1012?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 16*m - m - 75 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 712*a - 51269. Give j(72).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*u + 51937 = -55071 + 2590. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 166151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/8 and 101\/300.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11778 + 11784. Suppose -3 = -3*c + 9. Let y(w) = -2*w - 3*w + 2*w + c*w - 2. Determine y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -89 + 99. Let q be (-1 + 401)\/(n\/(-23825)). Round q to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -1669*o**2 + 13351*o - 6. Give z(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -3*k + k**3 - 17*k**2 + 7*k**2 + 7*k**2 - 6. Let f be b(4). Calculate the common denominator of f\/4 + 174\/108 and -33\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = -t + 2*l, -4*t + 4*l - 9*l = 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 9 = -3*h. Let x = -6 + h. Suppose 0 = -5*v + x*v - 4. Put v, 3, 0 in descending order.\nAnswer: 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lfyfrfylyffyffqy. Give prob of picking 2 f, 1 r, and 1 q.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -2*w**4 + 3040720*w**3 - 1155710775342*w**2 - 27738740151808*w - 26583026335744 = 0.\nAnswer: -23, -1, 760192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-26)\/169 - (-134)\/26. Suppose 3*x + g = -x + 8, 5*x = i*g + 35. Suppose 0*b - 150 = -b + q, -x*q + 15 = 0. What are the prime factors of b?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-13923\nAnswer: 6961.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 49 (base 10) to base 6\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5*q + 4*q - 5*q)*(-2*q - 9*q + 2*q) + (q**2 - 3*q + 3*q)*(-3 - 2 + 3))*(q**2 + 4*q**2 - 3*q**2).\nAnswer: -76*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -54145 = 3899*q - 5004*q for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 14 = -3*n - 144, -175 = 4*n - 5*o. Let j = 29 - n. Factor 0*a + 8*a - a**2 - j + 58.\nAnswer: -(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 87 + -86.9999828. What is m rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -3*c - 5*c + 2*c. Let q(x) be the second derivative of 0*x**2 + 0 + 10*x - 1\/4*x**4 + 0*x**3. Give s(q(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v - 29. Let m(t) = -2*t + 28. Let n(q) = -2*m(q) - 3*w(q). What is the remainder when 164 is divided by n(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - o**2 + 0)*(-5*o + 4*o - o) + (-1 - o**2 + 1)*(-4*o - 2 + 2) to u*o**2 + a*o**3 + m + y*o and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 - 5*n**2 - 5*n - 3. Let m be q(6). Solve -3*l + m*j + 3 = 0, 3 = 8*l - 4*l - 3*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-24)*(-30)\/(-40)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -568, -1137, -1706?\n\"Answer: -569*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -146 + 145.946. Let p = k - -0.0539829. What is p rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 14074357 by 121.\nAnswer: 116317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46079.\nAnswer: 11, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.1, 0.04, -255\/7, 3, 2\/3.\nAnswer: -255\/7, 0.04, 2\/3, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 100619, 100318, 100031, 99764, 99523, 99314, 99143?\nAnswer: 99016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3835472\/3 or -1278491?\nAnswer: -3835472\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*x + x + 187 = 0. Solve x*f - 12*f = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 2*u = 2598, -1814 = -3*r + 4*u + 142. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of y**5\/100 - y**4\/20 + y**3\/10 - y**2. Let u(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - -4 - -6 - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10817 + -10819. Which is the fourth smallest value? (a) 53 (b) 3 (c) -1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 928144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 4*x - 37520 = 0, 160*x = 5*j + 164*x - 62544. List the prime factors of j.\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 6:48 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/d**(-1\/6)*d)\/d**12)**(-25\/3))**(2\/13) assuming d is positive.\nAnswer: d**(1475\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 - -59. Suppose 0*j - m = -4*j. Suppose -8*p - 6 = -j*p. What is the highest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - 0. Let l = r + -2. Let h = 0 - l. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 3*t**2 + 12*t - 7. Let q be l(8). Is q + 9\/(-3) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 191\/66 + -30\/11. Let a = 1.5 + -0.6. Let m = -0.8 + a. Put m, n, -3 in decreasing order.\nAnswer: n, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 207 (base 12) to base 14\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 4*x - w, 4*x + 4*w - 13 = 39. Calculate the smallest common multiple of 7 and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/37? (a) 71 (b) 4 (c) 1\/2 (d) -232 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3467133, -6934271, -10401409, -13868547, -17335685, -20802823?\n\"Answer: -3467138*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/19 in 92, -1\/10, -3\/5, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 2*j + 8 = -0*v, -j - 2 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -143460000 to the nearest 1000000.\nAnswer: -143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ciiw. What is prob of sequence ii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(23\/((-552)\/(-72))) - 36\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -122, -0.1, -4, 2\/9 in descending order.\nAnswer: 2\/9, -0.1, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.7 - -193.\nAnswer: 192.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2300040241 (base 5) to base 6\nAnswer: 300521424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:16 AM and 11:32 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -307, 2, 29 in decreasing order.\nAnswer: 29, 2, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**2 + 2*y + 3. Let h be v(-2). Suppose -2*u - 1 = -h. Is 2 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (16\/20*(-252)\/(-42))\/(-3*2\/(-45))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-22)\/(-53361)*77 - 80\/18396\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 292, 638, 1120, 1738?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 613 - -606. Suppose 7*a + 860 = -b. Let q = -137 - a. What is the greatest common divisor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*f + 4593 - 771. Suppose 7*n = -196 - f. Round n to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 323, 360, 355, 308, 219?\n\"Answer: -21*h**2 + 100*h + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d + 7. Let m be q(-1). Solve -m*o + 0 = 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -63749.49553 rounded to the nearest one hundred?\nAnswer: -63700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yqk when three letters picked without replacement from {y: 1, q: 1, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1059596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 423 + 3?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -20828*-5\nAnswer: 104140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 771 = f - 1461, f - 742 = -a. Suppose -5*y = r - 1852, a = -0*y + 2*y - r. Is (0 + 13)\/(7\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -2791*n + 625184. Let j be y(224). Find p, given that 0 - 5\/6*p**4 + j*p + 35\/6*p**3 + 0*p**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dddsdsd. Give prob of picking 1 s and 2 d.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -17*b**2 + 195*b - 85. Calculate w(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 133864*m**2 - 888381 with respect to m.\nAnswer: 267728*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of 3*k**7\/7 + 3*k**4\/4 + 103*k**3\/3 - k**2\/2 + 105. What is the third derivative of r(g) wrt g?\nAnswer: 360*g**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 641 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 450916655?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4042275 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4690002 and -1.\nAnswer: 4690002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -76\/96363 and 22\/1411.\nAnswer: 1638171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the first derivative of 5*h**3\/3 + 27*h**2 + 328*h + 107. Let j(n) = n**2 + 14*n + 82. Let q(s) = 18*j(s) - 4*k(s). Differentiate q(r) wrt r.\nAnswer: -4*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/((-3)\/(-6)*2). Suppose 4 = p + h. Sort p, -5, 3 in descending order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31857 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 1319*s - 7276. Let l be z(-95). What is l rounded to the nearest one thousand?\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*o + 23 = -3*o + 5*b, -2*b = o - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 - 7*d**2 + 9*d + 11. What is the remainder when 5 is divided by p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the second derivative of -11*n**5\/20 - 71*n**4\/3 + 4205*n**2\/2 - 13*n - 109. Differentiate w(l) wrt l.\nAnswer: -33*l**2 - 568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of -o**4\/12 + o**3\/3 + o**2 + 4*o. Let a = 64 + -60. Determine m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 10 = 3*c. Let o be (-378)\/10 - c\/5. Let p = -38 - o. Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 20 - (7 + -39 - -45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -6*y + 24*y + 31*y in the form r + s*y and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 0.2 (b) -5 (c) -6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000073631775 rounded to 7 decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 4*j + 24 = 0, 8*i - j - 819 + 813 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 17 = -5*c - 12, -5*i + 0 - 5 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 + 7 = 3*s. Let i = 34 + -31. Suppose -i*c = -13 - 8. What is the remainder when s is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 63.1 - 63. Which is the second biggest value? (a) -3\/5 (b) -0.2 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*f + 5399 = -1384. What are the prime factors of f?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2982456 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1268, -5098, -11480, -20414?\nAnswer: -31900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.06 times 439\nAnswer: -26.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**3*f*f*f**(1\/3))**(17\/3) assuming f is positive.\nAnswer: f**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*p + 4 = 8*p + 5*j, 0 = 3*p - 5*j + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.5, -3\/218, 2, 1, -61, 4, -1\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 64 and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -1128306?\nAnswer: -1\/564153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/776 and 18\/57121.\nAnswer: 44325896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 91821250031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2\/7 - 10352*w\/7 - 5920.\nAnswer: 2*(w - 5180)*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -0.5, 58243, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -22*u + 87. What is x(7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 9) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2995803867.00000026 - -2995803895. Let m = 28 - g. What is m rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 531 + -526. Suppose -2*j + 4485 = 5*f, 2*f + w*j - 2081 + 287 = 0. What is the highest common factor of 39 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 332349064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = -52 + 12. Calculate the common denominator of (-17)\/g - 1\/(-4) and -7*(0 + -1) + (-1477)\/140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9 - 11.8. Let y = -6.6 - l. Let x = -4 - y. Which is the third biggest value? (a) -1 (b) -3\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2 - 7\/2*x**2 + 11\/2*x.\nAnswer: -(x - 1)*(7*x - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/909 and 22\/909?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - 1 - (6 + 186\/(-26)). Let r be (-136)\/100*(-255)\/12. Let v = -57\/2 + r. What is the nearest to -3 in -2, b, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114932 is divided by 8825.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -p**3*q**2*w - 654*p**3*w + 2*p**2*q**2*w + 42560*p*q*w + 1121093*q**2 wrt q.\nAnswer: -2*p**3*w + 4*p**2*w + 2242186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -971*v = -963*v - 64784. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f + 34. Let c be i(-19). Find the second derivative of -c*s**2 + 26*s**2 - 2 - 4 + 20*s**2 + s wrt s.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 755 + 2017 = 44*d. Let v = -81 - -101. Calculate the remainder when d is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 4770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-24)\/(-10) - -1) + 33\/55. What is the first derivative of 32*v**2 - 79*v**2 + n*v - 3*v - 3*v + 69 wrt v?\nAnswer: -94*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1066.59169966 - 1069.9917. Let i = -3.4 - s. What is i rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -97\/423 - -1\/141. Let u = 100\/3 - 34. Let c = -1.3 - -0.3. What is the nearest to u in -1\/2, i, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27, 47, 67?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 + 1. Suppose 5*y + 629 = 3*d, -6*d + d + t*y + 1023 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/(-4))\/(9\/(-24)). Let r(a) = a + 8. Let t be r(-4). Let i be 0*(2\/t + 0). Solve 4*k - 8 - u = i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -28 - -7. Let d = p + 29. Solve d*a - 4*a = 3*c - 5, 7 = -4*a + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - ((-8 - -23) + (5 - 2) + 6) - -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**5\/7 + 54*x**4\/7 + 180*x**3\/7 + 186*x**2\/7 + 9*x.\nAnswer: -3*x*(x - 21)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (2\/5)\/(7*(-8)\/40)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 30736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 8) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 322.8891km to meters.\nAnswer: 322889.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 - n)*(184 - 182 - 4*n**3 - 2*n**2 + 6*n**2) in the form y*n**4 + l*n + d*n**3 + x + a*n**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 1. Let r = -3 + -1. Let t(y) = -2*y**2 + 4. Give r*i(j) + t(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + -511111?\nAnswer: -511113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.04098 + 0.5.\nAnswer: 0.54098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2856*p - 780 + 2355 - 795 - 780 to the form w*p + k and give w.\nAnswer: -2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 0.9455, 3, -1, 1\/3?\nAnswer: 0.9455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*c*h**3 - 41153*c*n**3 + 14*h**3*n**2 - h**2*n**3 - 5*h*n**2 + 71*h wrt c.\nAnswer: 2*h**3 - 41153*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5354*s**2 + s + 101.\nAnswer: 10708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*t**2 + 0 - 41*t**2 + 0.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 + -201200?\nAnswer: -201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 4*u + 10, -2*u - n - 7 = -4*n. Let y be 326 + (0 - u) + -4. Suppose y = 124*r - 121*r. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((1 - -689)\/10)\/((-6)\/(-26)). Which is bigger: 301 or j?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 + 8*t**2 - 4*t. Let s(g) = -4*g**3 - 51*g**2 + 25*g. Determine 2*s(l) + 13*u(l).\nAnswer: 5*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 5*a + 3*a - 2*a + (-5*a + 2*a + 8*a)*(-89 - 63 + 122)*(3 - 2 - 4) as q + g*a and give g.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 336 - 877. Let l = f + 3803\/7. Factor 16\/7*o**3 + 1\/7*o**5 + o**4 - l - 16\/7*o + 8\/7*o**2.\nAnswer: (o - 1)*(o + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = 5*f - 48. Solve 0 = f*p + j + 10 - 3, 3*p = -5*j - 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 8 = -27. Suppose -200 = 3*z - w*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21 - -19. Let v be 9\/z - (0 - 4). Sort 2\/7, -0.04, v in increasing order.\nAnswer: v, -0.04, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -602, -2399, -5394, -9587?\nAnswer: -14978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17984 and 1684876?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/7, 0.14, 0.01, -88, 4\/7, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2704\/7229 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*d + 2*d**3 - 2*d + (8*d - 11*d - 7*d)*(1 - 6*d**2 - 1))*(-2*d - 2*d - 3*d) to w + j*d**4 + v*d + c*d**3 + i*d**2 and give j.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from snquqqqysyuqnuqyy. Give prob of sequence snqs.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 4*w + 73 = -36, -4*w = 5*j - 171. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:33 PM and 9:58 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**0*a*a)**(-2\/5)\/(a*a**(-1\/5)*a*a\/a**(1\/3)*a))**13 assuming a is positive.\nAnswer: a**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -288 + 234. Let y = 15 - g. Calculate the greatest common divisor of y and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b**3 - 299270*b**2 - 1197020*b - 1197000 = 0 for b.\nAnswer: -59850, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-3) - (-16 + 4797\/297).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the third derivative of 0 + 3*k + 1\/3*k**4 - 11\/60*k**5 + 0*k**3 - 2*k**2. What is the second derivative of p(f) wrt f?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 343 greater than or equal to 15711\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (6\/(-9))\/((-2)\/6). Suppose -2 = -3*a + u - 5, -12 = -2*a - 4*u. Solve a = -s + 2*n + 12, 3*s + 13 = j*s - 3*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 9 = -i + 5*h, 5*i + 2*h = 22. Suppose -2*s = -0*s + i. Let v = 5969 + -5966. Which is the smallest value? (a) 1 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes after 1:17 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + 818\/(-10) - (-2)\/(-10). List the prime factors of ((-2 + -2)\/(-1))\/((-4)\/c).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9177 and 141442479.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 1 + 1)*((37 - 24 + 32)*(-r**2 - 14*r**2 + 5*r**2) + 5*r**2 - 2*r**2 - 5*r**2) to k*r**2 + y*r + m and give k.\nAnswer: -1356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -70191136512 + 224260669583131\/3195. Let q = 54328\/15 + o. Let v = q + 3\/71. What is the second biggest value in v, -3, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**1)**(-5))**9 assuming w is positive.\nAnswer: w**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3\/3 + 34873*k**2\/3 + 7901765*k + 1356210525.\nAnswer: (k + 345)**2*(k + 34183)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 - 14*s**2 + s + 21. Let b = -99 - -85. Let v be n(b). Solve -3*d = -v*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1565 (base 8) in base 14?\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w - 1 + 1)*(-944*w + 1954*w - 1011*w - 5074).\nAnswer: 2*w**2 + 10148*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110)*-2*3 + sqrt(110))\/((1*sqrt(30))\/sqrt(3)) - ((4*sqrt(44) + (sqrt(11) - (1 + sqrt(11))) + -3)**2 + -1).\nAnswer: -719 + 59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -24604178*m**3 - 10364841 wrt m?\nAnswer: -73812534*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) 0.5 (c) -230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11413, 11444, 11475, 11506, 11537, 11568?\nAnswer: 11599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 3*n = 2*n + 4, 5*n = 0. Which is the nearest to 0.1? (a) 0.4 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 + 6*o - 1. Let s(i) = -i**2 + i. Suppose 49 = 4*q + 5. Let z = q + -6. Let x(f) = z*s(f) - u(f). What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141079 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + (-18)\/(-12))*6\/4. Let u = -388 + 773\/2. Sort o, -24, u in decreasing order.\nAnswer: o, u, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in 20*x**4\/3 + 3458*x**3\/3 + 16450*x**2\/3 - 2372*x\/3 - 1120 = 0?\nAnswer: -168, -5, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2686 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 628678 is divided by 169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 53 - 109*s - 18 - 35. Let g(n) = -2*n**2. Determine g(d(b)).\nAnswer: -23762*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - ((13 - 2) + -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -4 - (-24 - -23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 + 2132040?\nAnswer: 2132045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -148 + 64. Let s be (-4)\/14 + 48948\/r. What is s rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 + 8*c + 12. Suppose 0 = -3*b - 0*b + 6, 2*j - 5*b - 6 = 0. Let a be x(j). Solve 4*i = -4 + a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1552?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is s in 130*s**2\/3 - 254*s\/3 - 4 = 0?\nAnswer: -3\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -q + 3*p, 2*q - 4*p - 4 - 6 = 0. Let z = -64 + 68. Solve 5*v - c - q - 1 = 0, 4*c = -z*v - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4730450 and 115065.\nAnswer: 42574050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.06 (b) 4 (c) -66 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-3\/4)*(v**(-3\/5)\/v)\/v)**26 assuming v is positive.\nAnswer: v**(-871\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8.4 - -8.6. Is a greater than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zff when three letters picked without replacement from fffffffzfzfzzf.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 368, 759, 1162, 1583, 2028, 2503, 3014?\n\"Answer: d**3 + 384*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1088) + sqrt(1088)*1 - sqrt(1088))**2 - (sqrt(1700)*2 - sqrt(1700)).\nAnswer: -10*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 17548 (b) -1\/3 (c) -1\/2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1.508 (b) -1903 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 90*s**2 - 3*s - 9. Let x(r) = -r**2 - r - 3. Determine u(p) - 3*x(p).\nAnswer: 93*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-9)*((p*p*p**(-3\/8))\/p)\/p*(p*p\/(p**(-1)*p)*p)**(-31) assuming p is positive.\nAnswer: p**(-819\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 56821 divided by -1?\nAnswer: -56821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let 60*a**4\/19 + 43106*a**3\/19 + 5860838*a**2\/19 - 3332116*a\/19 + 392352\/19 = 0. What is a?\nAnswer: -536, -183, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 922.8733 to the nearest ten.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 15*u + 20*u = 0, -4*u = -2*c. Let r(v) = v**2 - 2*v + 110. Give r(c).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-620)\/(-8)*2*(-8 - -24)\/(-80).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 884143161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + (57 - 0) - (16 + 3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = j - 171. Let v(k) = 44*k**2 + 2*k - 1. Let z be v(1). What is the remainder when j is divided by (z\/12)\/((-2)\/(-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 95*x**2 + 41*x**2 - 50*x**2 + 173*x**2.\nAnswer: 259*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-19)*d*d*d*d**(4\/13) assuming d is positive.\nAnswer: d**(-204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -166 divided by 75575.\nAnswer: -166\/75575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 186*g**2 - 34*g + 117. Let y(j) = 62*j**2 - 12*j + 41. What is -3*k(o) + 8*y(o)?\nAnswer: -62*o**2 + 6*o - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - -4.4. Let y = 20147\/25 - 806. Let r = 19\/50 - y. Put r, z, 1 in ascending order.\nAnswer: z, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15863*z + 15825*z + 1140 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(1\/12)\/d*d)\/d)\/(d**(-2)\/d)*((d\/d**(-3\/19)*d)\/d)\/((d*d*(d\/(d*d*d\/(d\/((d**(-5)\/d)\/d))))\/d)\/d) assuming d is positive.\nAnswer: d**(-401\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -148*a - 24*a - 2296 = -90*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -62, -291, -708, -1343, -2226, -3387, -4856?\nAnswer: -6663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 = 6*w + 53. Solve 0 = -3*f, 4*g + w*f + 0*f - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -9344 by 4.\nAnswer: -2336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u = u + 3*f + 72, 4*f = u - 11. Solve -2*i = i - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*h - 31*h = 38*h + 8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 376*w + 32*w = -6*w - 6624 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {n: 3, x: 3, l: 12}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -24.28 and 5.\nAnswer: -121.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 4 (b) -1\/8 (c) -2.8 (d) 0.053 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**2 + 25*z - 55. Let m be p(18). Differentiate m - 115*b - 18 + 50 + 6 with respect to b.\nAnswer: -115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4624343 (base 9) to base 13.\nAnswer: -695361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -29*k**2 + k*y + 35*k - 533*y + 10 wrt k?\nAnswer: -58*k + y + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6.1 - -6.14. Let g = -0.03 + c. Is -2 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*i**2\/17 + 892*i\/17 + 890\/17 = 0. What is i?\nAnswer: -445, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -76, 634, -2, 2 in decreasing order.\nAnswer: 634, 2, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the second derivative of 5*c**3\/6 - 12*c. Let h(i) = -7*i. Calculate m(h(t)).\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -1, -2*r = -4*k + 2*r - 164. Let z = k - -51. Find the third derivative of -1864*j + 1864*j - 11*j**2 + z*j**3 wrt j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 3*h + 5*s, 4*s - 12 = 2*h + 8. Let r = h + 8. Put -4, -6, r in decreasing order.\nAnswer: r, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*i + 8872 = 45*i. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -346 - -128. Let s = 41 - l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1487898 is divided by 25650.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -6*p + 6*p + 3*p. Let w(d) = d**2 - 4*d. What is 3*w(a) + 4*z(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(513)\/sqrt(36))\/(sqrt(3) + sqrt(12)\/(sqrt(44)\/sqrt(11))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3*(10\/(-6) - -3). Solve -s + v*s + 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-24)\/66)\/(-2) - (-50)\/88. Suppose 4 = -3*z + 13. Which is the fourth smallest value? (a) -2 (b) z (c) 0.03 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 2*j**3 + j. Let w be p(1). Round w to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*h + 987*h + 74*h + 29416 = 6556 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 59988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the third derivative of l**5\/12 + l**4\/12 - 3*l**2. Find the second derivative of x(o) wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -180 + 20. Suppose x = -q + 38. What is the biggest value in 0, q, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 13014*a**2 + 5 - 6506*a**2 - 5 - 6507*a**2 - 423*a. Let u(c) = c. Calculate u(f(s)).\nAnswer: s**2 - 423*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the second derivative of 5*q**8\/336 + q**4\/6 + 3*q**2 + 2*q. Let t(a) be the first derivative of o(a). Find the second derivative of t(h) wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w**3\/2 + 16*w**2 - 221*w\/2 - 289 = 0. Calculate w.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3732392701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Total of 8 and 9503814789.\nAnswer: 9503814797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72 - 98 - 6*y**2 + 168.\nAnswer: -6*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cj when two letters picked without replacement from ccccccccccjcccc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 131934.\nAnswer: 2, 3, 11, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 693754 divided by -1377\nAnswer: -693754\/1377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 90445 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 13, x: 3}. What is prob of picking 2 q?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**4 + 6*s**2 - 6*s**4 + 2*s**4 - 9*s + 5*s = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 75\/4 - ((-650)\/(-40))\/(-13). Let s be -1760*(0 + 0 + 650\/x). Round s to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4349 is divided by 1157?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3360 and 4821264.\nAnswer: 48212640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -111.92 + 1.92. Let j = a + 221. Let w = 110.999896 - j. What is w rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -4*t**3 + 6. Let w be o(0). Find the second derivative of -7*k**2 + 67*k**3 - 79*k + w*k**2 + 0*k**2 + 23*k**3 wrt k.\nAnswer: 540*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 26\/11, -1, -0.07, -4, -10.4, 2\/5, -5?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 3*d - 120 = 0. Let x = d - -3. Is (x\/9)\/((-1)\/(-9)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 y, and 1 w when three letters picked without replacement from kiwkwhhwzwwwywy.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 129234 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -922 - -922. Which is the third biggest value? (a) 0.3 (b) 4 (c) -1.6 (d) q (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1000 - 1022120?\nAnswer: -1100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 2093 = 2060 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1534 by -26.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2 + 3*y + 4. Let g be m(4). Suppose -4*a = -5*i - 40, -2*a - 3*i + 41 + 1 = g. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from occcoccc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 7*b = 0. Suppose b = t - 0*d - 2*d - 1406, 1394 = t - 5*d. Let i = 12710\/9 - t. What is the common denominator of i and 47\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -27*h**4 + 27*h**4 + 52*h**4 + (0*h + 0*h + h**2)*(2*h**2 + 2*h - 6*h**2 - h).\nAnswer: 48*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(2736) + 5*((sqrt(2736)*-2)**2 - sqrt(2736)).\nAnswer: -48*sqrt(19) + 54717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -1 - 4*j - 2*j + 2 + 3*j. Calculate the remainder when 65 is divided by w(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79535383?\nAnswer: 79, 139, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of 0 + 1\/6*m**3 - 3\/4*m**4 - 41*m + 1\/2*m**2. Calculate l(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -975797066*w**4 - 51057600*w wrt w.\nAnswer: -11709564792*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 6*t**2 + 24 - 44 + 20 - 171*t - 4*t**2. Let y(b) = -2*b. Give h(y(i)).\nAnswer: 8*i**2 + 342*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, o: 7, e: 1, x: 5}. What is prob of sequence xev?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32978 is divided by 10988?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -439 - -432.7. Let k = 6.06 + h. Which is the second biggest value? (a) k (b) 4 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -270 divided by -18\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of y**6\/720 + y**5\/24 + y**4\/6 - 4*y**2. Let m(b) be the second derivative of c(b). What is the derivative of m(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 366410 + -366410.2400124. Let l = 0.24 + t. What is l rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 200 and 16475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 3*f**5 - 33*f**4 + 75*f**3 + 105*f**2 - 318*f + 168 = 0.\nAnswer: -2, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - 15)\/(-2)*(-402)\/(-536). Let l(i) be the third derivative of 0*i**4 + 0*i**3 + 0*i + 0 + 5*i**2 - 1\/60*i**r - 1\/30*i**5. Factor l(d).\nAnswer: -2*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/3, -0.17, 2\/63, 5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 239*t + 37*t = -2067 - 2246 - 8383 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 116, 14, 8, 2 in increasing order.\nAnswer: 2, 8, 14, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -156535*t**4 + 20640.\nAnswer: -626140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19*l + 39*l - 5 + 36*l)*(-l - l + 0*l)*(1 + 1 - 3).\nAnswer: 112*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51408111?\nAnswer: 3, 167, 102611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 924 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 = -y + 113. Let j be ((-12)\/74)\/(1\/(-3)*y). Are j and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20084 is divided by 2497?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 minus 1760684457?\nAnswer: -1760684456.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 PM and 10:33 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -30455344 (base 6) to base 2.\nAnswer: -11010110100000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -395236.6 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 105\/108 + ((-33)\/(-44))\/(7 + -8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-48 + 74 + 157)*((-4 + 5 + 2)*(-3 + 0 - 3) - 3 + 4 - 2)*(0*p - p + 3*p) to the form a*p + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3149 + 665. Suppose 0 = -3*g + 301 - 292. What is the first derivative of -3814*b + p*b + 16 - g*b**2 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**3 + 31*s**2 - 42*s + 365. Let w be t(30). Solve -27*u = -w*u - 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.4, 3, -267, -2, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g. Let p be d(3). Let f = p + -3. Let r = 9.5 + -9. Which is the nearest to f? (a) -1\/7 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 125 + -127. Let r(o) = 9*o**2 - 2*o + 2. Let c(p) = 37*p**2 - 9*p + 9. Calculate u*c(f) + 9*r(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be (36\/30)\/2*(0 + 10). Solve -27*d + 30*d = m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of i**4 + 8*i**3\/3 - 2. Find the third derivative of l(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24642024?\nAnswer: 2, 3, 11, 31, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 61942240 to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be (4\/18)\/(21\/(-63))*6\/12. What is the closest to 0 in -2, -5\/1524, -0.2, q?\nAnswer: -5\/1524","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -25, 2\/3, 0.3, -0.1, -3, 0, 0.1066?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 17472 and 32635512.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2\/11)*v*v\/(v*v**(-1\/14)))\/((v*v**(-2\/3))\/((v*v**(-3\/4))\/v)) assuming v is positive.\nAnswer: v**(-179\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 596224 and 97818?\nAnswer: 12520704","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/8 and 140\/(-400)*45\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 3*i - 40. Let s(v) = -7. Determine -a(u) + 6*s(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5376 and 560.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_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: Sort -1\/4, 3, -1\/3.\nAnswer: -1\/3, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 1. Let t(m) = m**3 + 4*m**2 - m + 1. Let n be t(-4). Let b be n - -2 - (-3 + 2). Solve d = 3*r - b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**3 + 11*w**2 + 10*w - 16. Let m be c(-7). Suppose 0 = -8*o + 6*o + m. Let j be 24 + 1\/((-2)\/4). What is the greatest common factor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/5 or -1185\/203?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1609 + -1605. Put -3, -5\/29, u in ascending order.\nAnswer: -3, -5\/29, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 2) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/21 + -1 + (-1)\/1*-2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeexxxxexxx. What is prob of picking 1 x and 1 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43 + 76 + -159 + 166.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 79 - 204. Let c(g) = -5*g - 3. Let o(p) = -40*p - 25. Calculate l*c(r) + 3*o(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the second derivative of y**4\/12 + 143*y**3 - 859*y**2\/2 - 7962*y. Find b such that l(b) = 0.\nAnswer: -859, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 7 = -12*t. Let l = -3 - -3.2. What is the closest to -3 in l, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -43 + (16 - 23) + -4 + 23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - -2) + 2 + 1 - (13 - 20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 74\/3 and -1\/49?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 4*h - 18 = 4*q, 3*q = 4*h + 25. Let d be (-2)\/q - (-90)\/21. Suppose -d*u - t + 79 = 0, 5*u + t = -4*t + 110. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8523 = -356*r + 377 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 35*i**2 - 41 - 6*i + 81 + 0*i - 40 in the form g*i**2 + t*i + z and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 1)*(2 + 4 - 3)*(2*w - 5*w - 2*w).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -495 divided by 6.\nAnswer: -165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((5*(-3)\/(-90))\/(-7))\/((-11)\/44).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (5 + (sqrt(245)*1)**2)*1 - ((sqrt(245)*-4*2)**2 + 3*sqrt(245)*5).\nAnswer: -15434 - 105*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/(2\/(-39)))\/(30\/20). Suppose -3*a = -2*v + 6*v + i, -3*a + v - 1 = 0. Let q be 18\/20 + ((-1)\/a)\/(-1). Sort -0.06, q, 3 in ascending order.\nAnswer: -0.06, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -191 bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*o**2 + 4*o**2 - 11*o**2 + (4*o - o + 2*o)*(-3*o + 5*o + 0*o) + (0*o**2 - 2*o**2 + 4*o**2)*(-6 + 2 + 2).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -778*q - 63623. What is v(-82)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -480, -481, -482, -483, -484, -485?\n\"Answer: -a - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-4)\/(-2) - (-15)\/((-105)\/(-1064)) is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2123, 1152, 181, -790?\n\"Answer: -971*f + 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**2. Let y(i) be the first derivative of -2786*i**2 + 13282. Calculate c(y(a)).\nAnswer: 31047184*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 847 and 242?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 24\/17 - 65\/34. Which is the closest to -0.1? (a) l (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27031.\nAnswer: 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.2, -4, 3, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13452561.\nAnswer: 3, 166081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -186675 - -167.776464\nAnswer: -186507.223536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -443*i - 840*i - 48997 - 35681 = 0 for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2188368 divided by -13104.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2849247781 to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -416, -85, -1 in ascending order.\nAnswer: -416, -85, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 5980*g**3\/7 + 11962*g**2\/7 + 5984*g\/7 + 2\/7 = 0. Calculate g.\nAnswer: -1, -1\/2990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 76150?\nAnswer: 152300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14612 - -14582.654. Let w = 173.7 - 144. Let m = w + o. What is m rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {r: 1, g: 1, o: 1, z: 2, p: 1, s: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 945\/(-525) - (-68)\/10. Find the third derivative of 10*b**2 - 7*b**5 - 3*b**4 + 0 - 5*b**d + 3 - 2 - 8*b**5 wrt b.\nAnswer: -1200*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 2*s - 10, -5*z = s - 10 + 1. Let x(j) = 2*j**3 - j**2 - 2*j - 1. Let l be x(z). Suppose 4*c - l*c = -102. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3322, -6730, -10138, -13546, -16954?\nAnswer: -20362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 748 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -123, -128, -135, -144, -155, -168?\n\"Answer: -f**2 - 2*f - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes after 10:01 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**3 - 1. Let w be c(-1). Suppose 3*i = 4*r + 30, -5*r = -5*i - w*r + 45. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18587859.\nAnswer: 3, 61, 101573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -453.343711 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 87331 and -157.\nAnswer: -13710967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -869*t + 832*t + 148 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110 = 7*o - 18*o. Which is greater: 13 or o?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (-1 + sqrt(128))*-1)**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 16*g + 1 - 3 to b + z*g and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 909731898 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**3 + 18*u**2 + 28*u.\nAnswer: 2*u*(u + 2)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3306\/13 (b) -0.05 (c) -0.04 (d) 5 (e) -1\/2 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 take away -20072068?\nAnswer: 20072067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.739 * -18.\nAnswer: 13.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 - (-1)\/1)*-1. Suppose -4*o = -j*o. Suppose 3*q = f, -2*f - 11 = 5*q - o. Which is the closest to -0.1? (a) -4 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4109\/176 - 295\/16. Calculate the common denominator of x and 79\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*i + 256*i**2 - 13*i + 2*i**4 + 27*i - 1)*(0 + 2 + 0).\nAnswer: 4*i**4 + 512*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*p**6 - 674*p**5 + 2*p**3 - 5029*p**2?\nAnswer: 360*p**3 - 40440*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -5*p - 8*p - 2*p + 16*p - 11. Let r be h(11). Suppose 5*m + r*m = 455. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes after 11:37 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2212, -8852, -19918, -35410, -55328, -79672?\nAnswer: -108442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4969651?\nAnswer: 41, 53, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h - h + 4 - 8*h. Let t(l) = -6*l + 3. Let y(b) = -5*t(b) + 4*w(b). What is y(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 + 8*t**2 + 7*t - 7. Let i(r) = -r**3 - 7*r**2 - 5*r + 6. Let h(v) = 3*i(v) + 2*p(v). What is the remainder when h(-6) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*a - 3 = 44*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 2\/19 (b) 1\/475630 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17115747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2572 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4631469*i**5 + 5*i**4 - 9*i**2 - i - 70271493 wrt i?\nAnswer: -92629380*i**3 + 60*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-5)\/(-4))\/((13377\/(-312))\/(-49)) + -1. What is a in 1083\/7 + d*a**2 + 114\/7*a = 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 12 (b) 4 (c) -2\/24495\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4922803 is divided by 611.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be -8*3\/(-18)*-3. Calculate the remainder when (-20)\/(2\/(w\/1)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -106265\/24 or -4427?\nAnswer: -106265\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 142747572 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j - 4*v = -2*j + 48, 4*v + 36 = -4*j. Suppose -3 = -c + 3*n, c - 3*c - 2*n + 30 = 0. Calculate the least common multiple of c and (-25)\/10*j\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 36 = 3*p + 2*f, -4*p + 4*f = 152. Let b be ((-12)\/(-10))\/((-12)\/p). Suppose -b = -0*c - 4*c, 2*o = -2*c + 10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, 154, 112.\nAnswer: -2, 5, 112, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1418*y + 1490*y - 144. Solve -4*z = d - 8, 2*z - 12 = -y*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4246 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 - 568*x + 2824. Let k(d) = d**3 + 2*d**2 + 2. Calculate the smallest common multiple of k(2) and a(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 140 - 132. Solve i + 1 = -p, i + l = -5*p - i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2 + 19*m + 5. Let z be a(-19). Let b = -33 - -39. Let v = b + 9. Solve -4*j - 3*l + 4*l = -5, v = z*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 + -19. Let y be 7492*(o\/8)\/(-5). Let m = y + -2346. Round m to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -44*n + 9. Let h(f) = -11*f + 2. Let a(p) = -9*h(p) + 2*s(p). Let y(x) = x. Determine y(a(q)).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-9)\/12)\/(1\/4). Let r = v + 7. Is (r + 2)*(-14)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -16877, -16873, -16869, -16865?\n\"Answer: 4*g - 16881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*y**4 + 1 + 2 - 3 + 8*y**2 wrt y?\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43.907635 rounded to 2 dps?\nAnswer: 43.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(171) + sqrt(171) + sqrt(171) + 4 - 1*sqrt(171)*6) + 2*(sqrt(171) + 1 + -5))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 594997736?\nAnswer: 2, 311, 239147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 114 = -10*q - j, 5*q + 4*j = 111. Let x = -3 + q. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3625*x**3 + 1 + 4*x - 2*x**4 + x**4 - 3624*x**3 to u*x + f*x**2 + c*x**3 + z*x**4 + w and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 253*i + 251 - 251.\nAnswer: 253*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5521, 11035, 16551, 22069, 27589, 33111?\nAnswer: 38635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5330 - 4374. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57*f + 408 + 24*f - 414.\nAnswer: 81*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.1 and -0.262720106726?\nAnswer: 0.362720106726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-10))\/(54\/(-45)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.00279 and -375?\nAnswer: 1.04625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -11*y + 5. Let i be k(-3). Let s be (i\/3)\/((-6)\/(-9)). Suppose -1 - s = -4*a. Calculate the remainder when 19 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, g: 2, z: 7, i: 4}. Give prob of sequence giz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 131130233 (base 4) in base 6?\nAnswer: 2330235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7612158019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 2*o**2 - 5*o + 2. Let m be h(3). Suppose -16 = y - m*y. Suppose y*j = -x + 2, -2*x - 1 + 0 = 3*j. What is the highest common factor of j and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -287\/470 - -1\/94. Let a = 0.1 + 2.9. Let v = -20389 - -20389.4. What is the third biggest value in v, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 AM and 11:03 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.03 + -0.13. Let r = -4694 + 4689. Let d be ((-1)\/(-3))\/(8\/(-12)). What is the closest to r in b, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -1 (b) 0.04 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -49 + 52. Calculate the lowest common multiple of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -31a1290 - -3?\nAnswer: -31a1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p = -i - 54, 5*p = 11*i + 108 - 60 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*1\/(-35)*(-92495)\/234. Let c = a + 81\/7. What is the common denominator of c and -55\/428?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -101*b - 301 = -58*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 6 = -0*z. Let g = 5 + z. What is the lowest common multiple of g and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - -10. Suppose n + 2*o - v + 57 = 0, 4*o = n + 74. Let f = -38 - n. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -9, -207, -0.08, 8, -5 in increasing order.\nAnswer: -207, -9, -5, -4, -0.08, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 PM and 10:40 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18185740?\nAnswer: 2, 5, 909287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be -4*(-9)\/(-198) - 168\/(-77). Let f(m) be the first derivative of -13 - 1\/2*m**s + 10*m. Calculate f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4799.5 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 93240559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 12583*m + 62027. Calculate t(-5).\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 151053055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6.0862 - -11.618.\nAnswer: 5.5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -15272 and -9?\nAnswer: 137448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((6060\/(-24))\/(-101))\/((-25)\/20))\/(-292)?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 222023\/5 = 44406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74 = -4*b + f, 0 = -4*b + f - 3*f + 80. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = 28*w + 40. Let x(h) = -5*h**2 + 7*h + 5. Let g(l) = 3*l**2 - 4*l - 3. Give w*x(c) - 7*g(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(-7)\/(378\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.03 (b) -8 (c) 3 (d) -0.6 (e) -4082\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -5, -38 in ascending order.\nAnswer: -38, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 + y**2 - 14*y - 27. Give m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 23636 - 43574 = -12*y. Is y equal to 6723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 196*s**2 - 439*s**2 + 212*s**2.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 490 divided by -2\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -27377.\nAnswer: 3\/27377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2127 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**3 - 7*d**2 - 19*d - 10. Let g be r(11). Solve 272*u - 14 = g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 244 = -l - 237, 0 = 3*l + 12*w - 36 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 0*k = -4*k. Suppose k = -5*a + 19 + 21. Solve 5*q - a = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/5)*p**(6\/5)\/p*(p*p**(1\/3))**(-32))\/((p\/(p\/p**3)*p)\/(p\/(p*p*p\/(p\/(p\/(p*p**(-3\/7)*p))))*p))**(17\/5) assuming p is positive.\nAnswer: p**(-5641\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10502? (a) -52 (b) 3\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52252 - 52252 - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 752, 1503, 2252, 2999, 3744, 4487?\n\"Answer: -m**2 + 754*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -14999, 0.5, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 5*c + 3. Let o be g(-2). Let h = o + 7. Put h, 4, 1 in ascending order.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (68\/(-11) - -6) + (-1454)\/(-11) is divided by 93?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49120579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (5 - 8 - 2) + 0 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0 and -417?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 119, -4, 0.2, 3, 6, -0.46 in descending order.\nAnswer: 119, 6, 3, 0.2, -0.46, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2558 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 55412 - 35681. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 3 - 3)*(28 - 28 - 10*z)*(-1 - 4 + 3) in the form d*z + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*m*m**29)\/(m*m\/(m*m\/((m\/m**10)\/m))*m))\/(m**(1\/3)*m)**(2\/87) assuming m is positive.\nAnswer: m**(10693\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 164 greater than or equal to 3440\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 0.819\nAnswer: -0.2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 5*w**3 - 5*w**2 + 13*w + 9. Calculate m(3).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59 = -2*v - 3*a, 4*v - 5*v + 32 = -a. Let l = -23 + v. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1*17\/(-17))\/(-5). Let f(k) = 2*k + 2. Let l be f(-2). Which is the second biggest value? (a) -0.1 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -476, -3725, -12544, -29717, -58028, -100261, -159200?\nAnswer: -237629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2460 - -56566\/23. Let z = -172\/207 - o. Sort -12, z, 1\/6 in decreasing order.\nAnswer: 1\/6, z, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*x**4 - 92008*x**3 + 706861152*x**2 - 1824514720640*x + 82440896732672.\nAnswer: 4*(x - 7652)**3*(x - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6983 less than -88?\nAnswer: -7071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -25, 1, -75 in descending order.\nAnswer: 1, -25, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -112428 by -27.\nAnswer: 4164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -3*o**2 - 21*o + 140. Calculate k(-13).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:00 AM and 3:17 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -2*w - 2. Let i(m) = -m**2 + 8*m - 1. Let r be i(7). Let k be 2 + -1 + 1\/1. Suppose k = t + r. Determine c(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from chhchhheeec. Give prob of picking 1 c and 3 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1222 - -1228. What is the smallest value in 1, k, 0.11, -0.7, -0.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -n**3\/4 - 8063*n**2 - 64834220*n + 2868336944 = 0. What is n?\nAnswer: -16148, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 5001 (base 6) to base 16\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*a - 18371 = 16765. What is the greatest common factor of 1600 and a?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 143 - 112. Let m(o) = 213*o + 116. Is m(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2052, -0.13, -0.1?\nAnswer: -2052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 7 - 1 - 3 - 2 + f. Let s be 1 - (2 + 6\/3). Calculate q(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (47\/1034*-781 - -38)*(-114)\/5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 454055 equal to 454053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -25188414.2 and -0.93.\nAnswer: -25188415.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wlloouluowo. What is prob of sequence lull?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes before 1:34 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 44732.38 kilograms?\nAnswer: 44.73238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 25*q**3 - q**2 - 49*q - 40. Is c(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 2*v**2 - 4*v - 3. Calculate j(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/4 + (-398)\/(-8). What are the prime factors of 8\/12 - (-3)\/(18\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1433 * 0.3\nAnswer: -429.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0.59139 times -3.66\nAnswer: -2.1644874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -803, -802, -801?\n\"Answer: y - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001706568 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((((r*r**(10\/9)*r)\/r)\/r*r)\/r*r)\/r**(-14\/9))\/((r\/(r*r**(-14\/5)*r))\/(r**(-5\/3)*r)))**(-4\/31) assuming r is positive.\nAnswer: r**(-24\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes before 11:58 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1901 + 1900. What is the closest to 36 in -1\/3, r, 1, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 174*j = 175*j + 23, j + 17 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -509*h - 44 = -498*h. Which is the fifth smallest value? (a) 6 (b) 5\/4 (c) 1 (d) -4\/3 (e) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1741*f - 1830*f - 1068 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/4 - (-36)\/8. Suppose 3*s = s. Solve n - 4*u - 15 = s, 0 = -n - 0*n + l*u + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 7*r = -10. What is the lowest common multiple of 6 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r*r**6)\/r*r*r)\/r**6)**(-25)\/(r**(-5)*r*r*r\/(r\/(r**(2\/19)*r*r)))**(-17) assuming r is positive.\nAnswer: r**(-1714\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 1943049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 2*m**2. Let a(r) = 4*r**2 + 1095391*r - 2. What is a(u(i))?\nAnswer: 16*i**4 + 2190782*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(225)\/sqrt(5) - 2*(sqrt(5)*-2 + sqrt(5)))*1)**2 - (sqrt(40) + sqrt(360)\/(sqrt(9) + sqrt(81)))\/((sqrt(392) - 1*sqrt(392)) + sqrt(392)).\nAnswer: -5*sqrt(5)\/28 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(2\/7))**(-23))**(4\/13) assuming a is positive.\nAnswer: a**(-184\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 + 35. Suppose 2*r + 0*r - 8 = 0. What is the smallest common multiple of r and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 187, 377, 567, 757, 947?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (r - r + 2*r**3)*(3 - 4 + 2)*(2 - 9 - 4) + 3*r**3 - 2*r**3 + 0*r**3 + (3*r - r**2 - 3*r)*(3 - 3*r - 3).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1762 + -875. List the prime factors of g.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2162026 and 408?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -3*r - 3. Let x(j) = j**2 + 11*j + 21. Let h be x(r). Solve -d - 5*w = 3*d - 15, w = 4*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kaaakkkkaeaaaeak. Give prob of picking 2 a.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w + w + 3*w)*((-2*w - 7*w + 3*w - 3)*(w - 4*w + 0*w) - 2 + w**2 + 2).\nAnswer: 38*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -m - 6, 0 = -6*d + d - 2*m + 16. Solve -d*y - 28 = 3*p, -3 = 2*p - y + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-10) + (-1)\/(-5). Suppose f = -3*t - t + 28. Suppose -20 = -8*k + t*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-246447)\/5 + -6*2\/(-30). What is the units digit of (-4)\/(-10) + j\/(-115)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (3 + 23\/(-2))*(-2)\/10 and 7\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 19 - 4. Suppose -3*l + u*l + 10880 = 0. Is l\/(-28) + 2\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 191162981 - 0.38.\nAnswer: 191162980.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 55019 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*3\/12*78\/65*-6*5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 270131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 11*c**3 + c. Let x(b) = -53*b - 4. Let f be x(-2). Let r be (-21)\/(-49) - f\/(-7). Let o be (1 + -4)*5\/r. Calculate i(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/12 + (-32)\/(-6). Suppose 3*j + 39 + 14 = o*w, 3*w - 27 = -3*j. Calculate the remainder when ((-14)\/3)\/((-4)\/24) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -1138*d + 1017. List the prime factors of q(-31).\nAnswer: 5, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -21*u - 5. Let v be f(-8). Suppose 0 = y + 45 - v. Let l = y - 53. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*s + 0*s**2 + s**2 - 59*s + 4.\nAnswer: s**2 - 83*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1753 - -1753. Solve m - 4*v + v = 3, -2*m + 3*v = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77*b = 75*b - 145*b - 10241. What is the highest common divisor of 88 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000729 to seven decimal places.\nAnswer: -0.0000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3127091803 to the power of 1\/3, to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the third derivative of m**7\/2310 - m**5\/330 + m**3\/66 - 459*m**2. Find p, given that z(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*q + 132*q - 1234*q.\nAnswer: -1060*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is v in -78*v**4 + 6532*v**3\/3 + 64208*v**2\/3 + 140224*v\/3 + 3840 = 0?\nAnswer: -4, -10\/117, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.03 times -2352\nAnswer: -70.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -248*x = -259*x + 88 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 568 - 562. Let s be -12*4\/(-8) + h + -9. Solve -s*q - 3 + 23 = -y, -5*y = -4*q + 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3624.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 31220 (base 6) in base 8?\nAnswer: 10134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1260\/378*22\/55.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**2 - 16 - c**2 + 13*c - 5*c + c**2. Let y be d(5). Factor 11*b**3 + 2*b - 32*b**2 + 11*b**3 - y*b**4 + 2*b + 55*b**3.\nAnswer: -b*(b - 1)*(7*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -175.2 + 176.3. What is the third biggest value in 0.3, -0.2, -4\/7, -1, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 4*i - 8. Let h be x(2). Suppose -5*j - 138 + 58 = h. Sort -4, j, 2, -3 in descending order.\nAnswer: 2, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4332558984 to the power of 1\/4, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/21 + (-8)\/56. Suppose 4*c = -6*p + 2*p + 4, c - 3*p + 11 = y. What is the hundreds digit of (7\/14)\/(c\/(-580))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5680 and 72706840?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -79 + 78. Sort q, -4, 1, -17 in decreasing order.\nAnswer: 1, q, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4598\/15 + -805\/3. Let n = k + -568\/15. Suppose -n*o - 2\/9 + 5\/9*o**2 = 0. Calculate o.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597760 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: Let j = 17540 + -17542. Put 2315, j, 0 in ascending order.\nAnswer: j, 0, 2315","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3937?\nAnswer: 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 7*i - 5 = 0. Let a(x) = 3*x**2 - 7*x + 5. Let r(u) be the first derivative of u**3\/3 - u**2\/2 + u - 1. Let n(j) = i*a(j) + r(j). Factor n(p).\nAnswer: -2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 divided by -189.\nAnswer: -8\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 31204000 to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and (-10)\/(-75) + (-2 - (-58)\/15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 37 - (-16 - (-7 - (-13 - -23)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 276.8 times -70?\nAnswer: -19376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 52\/3, 0.4, 0.1, 3\/4, -55, 1, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 134550430 (base 6) in base 3?\nAnswer: 12011210110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o - 4 = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 2*r**3 - 11*r**2 - 10*r - 9. Calculate x(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 216 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 47019.93 millennia?\nAnswer: 564239160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 21? (a) 5 (b) 0.7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 974 + 8018 = 1238*w + 3147 - 7773 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23 - -37. What is the remainder when f is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 5 (c) 3\/50 (d) 6 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 893932142?\nAnswer: 2, 107, 241, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -l + 4*l - 2*l + (0 + 1 - 2)*(0 + 0 + 2*l) - 3*l + 4*l + 0*l + (2*l - l + 0*l)*(-4 + 2 + 0) - 5*l + 2*l + 2*l + 4*l - 3*l - 2*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*f**2 - 208*f**3 - 3690*f - 1 + f**3 + 7381*f - 3688*f to the form p*f + q*f**3 + v*f**2 + h and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 109 - -31506?\nAnswer: 31612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.03277 - -2.9004. Round p to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 25*s**3 - 7*s**2 + 3*s - 11. Let f(x) = x**2 - 1. Let h(z) = -2*f(z) + p(z). Is h(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 26 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x. Let q(l) be the third derivative of -l**7\/560 - l**5\/60 + 3*l**2. Let v(m) be the third derivative of q(m). What is g(v(c))?\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + -1. Let r = 3.4 + -3.5. What is the nearest to r in -3\/5, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1440\/13 - -5799\/52. Let r = 335\/1616 - 2\/101. Let f = r + 7\/48. Which is the closest to k? (a) -7\/3 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of -y**4\/8 - 23*y**3\/2 - 387*y**2\/4 - 2*y - 525. Solve s(m) = 0.\nAnswer: -43, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5\/41 in 3, 0.2, -406\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1153285308 to the power of 1\/2, to the nearest integer?\nAnswer: 33960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -7*z**3 + 12 - 3*z**3 - 5277*z + 5263*z - 36*z**2 = 0. What is z?\nAnswer: -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (3061968\/637)\/((-6)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 249 - 249.113. Round c to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(832)*1 + sqrt(832)*3*-1 + 5 + sqrt(832)*-2 + -3 + -4 + 5)**2.\nAnswer: -96*sqrt(13) + 3337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 7*o. Let q(p) = 0*p + 2*p - 3*p. Calculate q(h(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -51, 6.\nAnswer: -51, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 517972?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 5*y + 792, k + 4*k = 4*y - 990. Let p be ((-4)\/18)\/(44\/k). Is p smaller than 5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.0392, -54, 32, -1, -4, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 r when three letters picked without replacement from dioixirvooioo.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 62267 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7992955, 15985888, 23978821?\nAnswer: 31971754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/60*-9)\/((-12)\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -31859105 - 4.4565\nAnswer: -31859109.4565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22996 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1051992.27 minus -8?\nAnswer: 1052000.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -2*z - 15. Suppose -2*g = -o - 11 - 3, -5*g + 20 = -o. Let d be m(o). Put d, -2, 3 in decreasing order.\nAnswer: d, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 2*s + 14 = 0, -4*s = -4*j - 18 + 46 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 149 + -81 + (-7854)\/153?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 630452060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.74 - 2.7. Let d = 0.05 - g. Let f = 1.01 - d. Which is the third smallest value? (a) f (b) 22 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 577\/260 + -29\/20. Suppose 2*d = -h, -h - 2*h - 12 = 0. Suppose 0 = -0*y - 4*y + 12, -6 = -d*f - 2*y. Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 177365 is divided by 8732.\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/4)\/((-1438)\/(-7190))\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**2 - r - 1. Suppose 0 = -14114*i + 14130*i + 80. Let o(p) = -p**2 - 7*p + 3*p**2 - 5 + 2*p. Determine i*y(v) + o(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 AM and 12:29 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes after 1:59 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -103604 or -102362?\nAnswer: -103604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(((-5 + sqrt(76)\/sqrt(4) - sqrt(19)) + -1*sqrt(304))**2 - (sqrt(171) - (sqrt(171) + (-2 + 2*sqrt(171))**2))).\nAnswer: 48*sqrt(19) + 3051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**5\/13 + 212*l**4\/13 + 65480*l**3\/13 + 450868*l**2\/13 + 960954*l\/13 + 575352\/13 = 0. Calculate l.\nAnswer: -131, -3, -1, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -55311, -110821, -166311, -221775, -277207, -332601?\n\"Answer: z**3 + 4*z**2 - 55529*z + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (q + q + 4*q)*(4*q - q + 2*q)*(33 - 33 + q**2) to z*q**3 + f*q**4 + x*q**2 + s + c*q and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 19\/22 (b) 2 (c) 3 (d) -0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 123*y + 29*y - 40*y + 87*y as f*y + w and give f.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000032291537 to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*d, -3*d = -5*o + 17 + 1. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/7 + (-2104)\/(-14). Let l = 94 + -102. Let d be -20*2\/12*(-1 + l). What is the greatest common factor of m and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12720\/840 - 1\/7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 105)*(474\/(-1185) + (-11)\/(-15)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11141, 11140, 11139, 11138?\nAnswer: 11137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*s + 0*s - 2*s**4 + (1 - 1 + s**2)*(2*s**2 + 3*s**2 - 6*s**2) + 2*s**4 + 1 - 1 - 59*s**4 - 199*s**4 - s**3 - 455 + 456.\nAnswer: -259*s**4 - s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f and 1 l when four letters picked without replacement from lflff.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -22 - (-46 + -11 - -20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 5*a - 25 = -5, -3*a = w + 24. Let s be 10\/w + 1013\/(-3). Let i = s + 4396\/13. What is the fourth smallest value in 5, 1\/5, i, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12.04 + 8.17. Let b = n - -60.87. Is 0.1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 9:08 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 410064, 410062, 410060, 410058?\nAnswer: 410056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 218784, 437566, 656348, 875130, 1093912?\nAnswer: 1312694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(-7)*(-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the third derivative of o**7\/140 + o**6\/180 + o**3\/2 - 10*o**2. Let l(d) be the first derivative of w(d). Find the third derivative of l(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) -55 (b) -1\/56 (c) 0.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - 1. Let f(l) = 36*l**2 - l + 6. Determine f(j) + 6*v(j).\nAnswer: 42*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*q - 887*q - 19362 = 0 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 46 and 2898?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 10470, 10315, 10160?\n\"Answer: -155*x + 10625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 152678 - 58271. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 613\/2799 + 1\/311. Let t = 4.95 + 0.05. Which is the second smallest value? (a) t (b) s (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 98 + -90. Let n be (-1 - -1)\/(-5 + 3). Suppose n = 2*m - m - x. What is the remainder when 38 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16 and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in h + 454 - 454 + 10*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0196692 to 4 decimal places.\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 296.6 * -4\nAnswer: -1186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/9 of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -509856224 by 32.\nAnswer: -15933007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*f + 1281546 - 1281546.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 416, 2\/5, 1\/2, 38?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8567 - 8565. Suppose -8\/11*w - 2\/11*w**j - 6\/11 = 0. What is w?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 - 2*o**2 + 2*o. Let i be q(-3). Suppose -3*u - 2 = i*v - 5, 4*u + v - 7 = 0. Let a = u - 2. Let t(h) = h**3 + h**2 - h + 3. What is t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*a + 2414 = -81*a - a for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - 3 - 3 - (-24 - (1 + 13 + -78))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 2*p - n - 13, -p - 3*n = -13. Suppose 3 = p*c - 17. Suppose 3*x + 3*y = x - 15, c*x = 2*y + 10. Solve x = 3*u - 15, 3*s + 5*u = -8 + 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2506560 divided by 8952\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3174908)\/5320)\/11 - 4. Let p = v + 1087\/19. Find the common denominator of p and 93\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -6, 32, 4.2, 2\/137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 113 - 20 = 4*z, 0 = 2*z - h + 49. Sort 0, -1, z in increasing order.\nAnswer: z, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*r**2 + r + 4 - 5*r**3 - 5 + 2 + 2*r**3 - 5*r**2 to t*r + x*r**2 + y*r**3 + m and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 5*g**2. Let b(n) = 15 - 8 + 26*n - 13*n + 8. Determine b(h(m)).\nAnswer: 65*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 228789.86845 + 0.13155. Let k = 228787.70062 - d. Let n = -2.3 - k. Round n to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of u**3 + 2*u**2 + 0 + 5*u + 1\/12*u**4. Let o be v(-6). Solve -5*q + 3*z + 24 = -0*q, o*q = -5*z - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 666842277 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 10 times -15.5?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 4*f + 5. Let d be m(-1). Sort 0, d, -5, -3.\nAnswer: -5, -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -21*q + 110. Let y be (10\/3)\/((-80)\/(-120)). Let o be n(y). Which is the biggest value? (a) 3\/4 (b) o (c) -15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 29 or 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15 + -13. Let i(r) = -j*r + 2*r - 3*r. Let g(k) be the third derivative of k**5\/30 + k**2. Determine g(i(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**2\/4 + 23965*y\/4 - 179175\/2.\nAnswer: -5*(y - 4778)*(y - 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1850 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be 18\/2*(-4)\/(-12). Suppose -u*j - 13 = -d, 4*d + 4*j = -9 + 29. Let f = d + -3. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -5ab26 (base 12) to base 10\nAnswer: -122574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -3*u + 15603, 5*b + u - 9626 = 5975. What are the prime factors of b?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72491681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the first derivative of 3233*y**6\/3 - 4843*y**2 - 6092. Find the second derivative of t(o) wrt o.\nAnswer: 129320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/9 greater than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2292*y**4\/5 + 35114*y**3\/5 + 66928*y**2\/5 - 25106*y\/5 - 68 = 0. What is y?\nAnswer: -2, -5\/382, 1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/15, 0.2, 2.5, -0.1?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2 + 2 + 0 - 1. Let y be (1 - i)*6\/(-4). List the prime factors of y\/((0 - -1) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*y + 579 + 589 = 17*y - 332 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -1495 bigger than -1494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*b + 335*b**2 + 2*b + 304*b**2 - 1301*b**2 + 329*b**2 - b + 323*b**2.\nAnswer: -10*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 31 = -3*n + 6*t - 11*t, 0 = -2*n - 4*t - 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.029979446 to four decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2000 + 111202?\nAnswer: 102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1271106 or -1271103?\nAnswer: -1271103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1814524 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q + 35 - 3. Suppose -4*o - 28 = -5*p, o + 2*p = -2*o + 2. Let g be o\/(-6)*q*-3. Solve -8 = -4*v, -v + 0 = 2*d - g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(11) - sqrt(121)\/(sqrt(11)*-1)).\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3b6 - -43a?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z = 4*d + 40, 143*d + 25 = -4*z + 142*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9078.662ug in tonnes?\nAnswer: 0.000000009078662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**3 - 26*b**2 - 2*b - 46. Give u(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (90\/(-35))\/(-3)*98. Let a be 6\/2 + (d - 0). Let p = -83 + a. What is the least common multiple of 6 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**3 - 2*l + 2*l - l**3 + 1 - 1 + (2*l + l - 2*l)*(4*l**2 - 5*l**2 + 3*l**2) + (l**2 - 4*l**2 + 2*l**2)*(3 + 7*l - 3) + 2*l**3 + 4*l**3 - 4*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -5*q**3 + 2*q**2 - 2*q. Let w(f) = -3*f - 25 + 25 + 2*f**2 - 6*f**3. Let m(s) = -3*b(s) + 2*w(s). What is the third derivative of m(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 4*r**2 + 3 + (0 - 4 + 2)*(-3*r**2 - 3*r**2 + 3*r**2))*(-1048*r + 1048*r - 60*r**2) + (0 + 3 - 2)*(-2*r**4 + 0*r**4 + r**4).\nAnswer: -601*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 473038481.\nAnswer: 17, 27825793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 332596 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1619 - 1619. Suppose 17 = 4*s - 5*i, 0 = 3*s - 8*s + 4*i + 19. Suppose b = s*c - 1609 + 544. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2*v**2)*(-3*v - v + 0*v) + 11*v**3 + 27*v**3 + 3*v**3 - v**3 + 4*v**3 - 2*v**3 + 3*v.\nAnswer: 34*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1614 is divided by 257?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 0 - ((-8 - -5) + (0 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*g + 86*g = 5*h + 77, -4*h = -g - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -2906*i. Let z(k) = -130*k**2 - 3. Calculate d(z(g)).\nAnswer: 377780*g**2 + 8718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = 5 - 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -15.83389 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 28*n - 950. Give r(34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 - i + 9. Determine s(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13 - -14 - 11) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pjd when three letters picked without replacement from {r: 4, p: 3, j: 1, v: 4, z: 6, d: 2}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 2*m**2\/7 - 11798*m\/7 - 1765140\/7 = 0. What is m?\nAnswer: -146, 6045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*q**2 - 13770*q - 7049283.\nAnswer: -3*(q + 587)*(q + 4003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 55, 85, 75, 13, -113, -315?\n\"Answer: -2*x**3 - 8*x**2 + 68*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**2 + 0*x**2 - x**5 + (-x + 0 + 0)*(-4*x - 2*x**4 + 4*x) + 3*x - 6*x**5 - 3*x + 17*x**5 - 36*x**5 + 57*x**5.\nAnswer: 33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2183685 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: Let m be (-6)\/(-1) - (-12)\/84*0. Solve -64 = 10*p + m*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6*8\/108*6*(855\/20)\/19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 293.58444 from 714476.\nAnswer: 714182.41556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-3)\/6)\/((-2)\/20). Differentiate 4*q**4 + 1 - q**4 - i*q**4 + 0 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 79441366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 + 50 = -9*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4903 + 4235*d - 4904 + 9807 to p + b*d and give b.\nAnswer: 4235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -3\/7 (b) -14812 (c) -6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -74168 (c) -1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 410123820, 410123819, 410123818, 410123817, 410123816?\n\"Answer: -s + 410123821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-26)\/(-6))\/(33\/18). Let a = y + -584\/275. Let l be (42\/(-28))\/(27\/18). Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.7? (a) 3\/4 (b) -100 (c) -146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 98694566.\nAnswer: 2, 49347283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 81\/10 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11.05 + -11. Let i = 4.05 - j. Let r = -9 - -8.97. Which is the second smallest value? (a) 0.2 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 0 - 4 = 0, -4*n - 19625 + 19605 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55583 is divided by 339?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1518 and 0.212.\nAnswer: -0.0321816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1345.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 161192 and 72?\nAnswer: 1450728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 3, 0, -3, 40948 in ascending order.\nAnswer: -3, -0.5, 0, 3, 40948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -728\/137 - -172627\/30140. Find the common denominator of f and (-27*(-11)\/(-132))\/(13 + -1).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 332 divide 75943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -271 + 528 + 616 + 172 - q.\nAnswer: -q + 1045","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/2833 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*c + 0*c - 4*c + (-3*c + 2*c + 2*c)*(1 + 0 + 1) + 0 + 0 + 2*c)*(-631721 + 3489*c + 631721).\nAnswer: 17445*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 12 and 0.165.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f**2 + f. Let c be n(-1). Solve -7 = -3*l + c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -4*n - 27. Let c be u(-8). Suppose -c*x + 438 = 123. What is the remainder when x is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -570893263*z**3 + 43555387*z**2 - 14*z?\nAnswer: -3425359578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, l: 2, j: 4, t: 1, w: 3}. What is prob of sequence wjwh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*m - m + 2*m + m - 3*m - m - m + 3*m - 3*m + (0*m + 2*m + 0*m)*(2 + 0 + 0) + 0*m + 0*m - m - 2*m - 4*m + 0*m + 4*m - 2*m + m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*k + 10 - 6*k + 8*k - 9*k**4 wrt k?\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = 21*a + 23*a - 377 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 257 divide 2865807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 4*y**3 - 4*y + 2. Let c(u) = -u**3 - u**2 + u. Let o(h) = 3*c(h) + f(h). Let l be o(2). Let m(v) = v**2 + 5*v + 4. Determine m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.05 - 22.05. Let b = 42 + u. Let v = -20.00007 + b. What is v rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 9 + 0 = 0, -27 = -5*y + 4*l. Suppose 2*h + 30 = -3*d, -5*d - 69 = -0*d - y*h. Let r = d + 17. Solve 5*g = -20 - r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + 29. Let s = q + -25. Suppose 0 = 6*i - s*i. Solve -2*k = -5*c, i = 4*k + 3*c + 17 + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*w = -19*w. Let d(c) be the third derivative of w*c**4 + 0*c - 1\/30*c**5 + 5*c**2 + 2\/3*c**3 + 0. Differentiate d(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 52*f**2 - 6*f - 974 wrt f?\nAnswer: 104*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*h**4 - 52295*h**3 + 134857575*h**2 + 153168837875*h - 703607644415000.\nAnswer: 5*(h - 4145)**3*(h + 1976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 3 = 5*s. Solve -s*w + 11 + 1 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -2257*s - 11402. Determine c(-5).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/((-15)\/(-25) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-493)\/((-70992)\/(-480)))\/((21\/36)\/7).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 617.34, -3\/25.\nAnswer: -5, -3\/25, 0, 617.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 300*l - 21. Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*p**3 - 2958637*p**2 + 12574139*p - 2958620.\nAnswer: (p - 739655)*(p - 4)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37450 is divided by 11192.\nAnswer: 3874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -3*x**3 - 141*x**2 + 27*x + 149. What are the prime factors of k(-48)?\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(1*6*(sqrt(75) + 0) - (0 + 1*sqrt(75) + -2)).\nAnswer: 2 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(98)*-2*-5*5 + 0 + (sqrt(2) + sqrt(6)\/sqrt(3))*2*5 + -2.\nAnswer: -1380*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 335131799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -5*a + 14, 0 = a + 13*g - 12*g - 4. Suppose 3*z + a*z - 1185 = 3*c, 4*z + 3*c - 948 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-552)\/253 - -2*1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 77440 and 242.\nAnswer: 77440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*x**3 + 8*x**2 - 8*x**2.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.5 (c) 10\/13 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 h, and 2 l when four letters picked without replacement from gjghhljgglgghgjgjjg.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000035264 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*w + 34*w + 24 = 0. Let n(s) = -s - 5. Let j(b) = b + 4. Give w*n(z) + 4*j(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 3*w**2 - 502470*w - 14071512 = 0.\nAnswer: -28, 167518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 154922058.\nAnswer: 2, 3, 47, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -4484640 by -6.\nAnswer: 747440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 7*h**3 + 4*h**2 - 9*h - 4. Is 13 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -25992, 11 in increasing order.\nAnswer: -25992, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 10*n - 6*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6759045.5 minus -0.053849?\nAnswer: 6759045.553849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of -7*k**6\/120 - k**5\/12 - 3*k**4\/8 - 25*k**3\/6 + 10*k**2. Let y be w(-4). Suppose -3*a - y = -1924. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(11\/2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17.03 - -17. Let l = j - -0.23. Which is smaller: -2\/5 or l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12\/((-3)\/6*3). Let b = s + 16. Let l = 1 - -2. Solve l*n + o + 5 = 0, 0*n = -3*n + 2*o - b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**3 + 69*q**2 + 14547*q - 1184. Determine x(-91).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fccq when four letters picked without replacement from {j: 3, c: 4, f: 4, q: 1, l: 3, t: 2}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -135*f + 80 = -119*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22 - 15. Suppose d*l = 9*l + 6. What is the nearest to 2 in l, -2\/9, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 + 8. Suppose 3*i + o = -0. Let c be 8 + -2 - 3 - 2. Sort i, c, 2 in descending order.\nAnswer: 2, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 450*k**2 - 3*k - 2. Suppose -4*c = -5*c + 4. Suppose -6 = 5*m - 4*q + 11, -3*m = -c*q + 15. Is i(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1234, 1220, 1206?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1389*b = -1723*b + 9352 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 m when three letters picked without replacement from mbbuooofmfbombobuuob?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 1437 divide 1559802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -7, 15971, -1, -10 in decreasing order.\nAnswer: 15971, 5, -1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -22471159 less than or equal to -22471158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 19783300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11026515.\nAnswer: 3, 5, 367, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2220282 divided by 4278?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 306.\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.013 in 2, -1, 3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 59 = x, 169 + 8 = -3*x + 4*a. Which is smaller: x or -44?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 5*r - 62 = 2*r, -5*d = 5*r - 300. Let s(l) = l**3 - 5*l**2 + 4*l + 16. Calculate the remainder when d is divided by s(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 195 and 62907?\nAnswer: 314535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-5)*36\/(-72))\/(((-7047)\/(-580))\/27)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - ((4 - -4) + -6 + -12).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.9 - -2.2. Which is the biggest value? (a) x (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-6) + (82660\/(-24))\/5. Let j = 1051 + p. Suppose -j - 322 = -9*k. What is the remainder when k is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p when three letters picked without replacement from xxyyxypxypybxpx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-7 - -12) + -12 + 4 + 11 + -29 + 0\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 247923 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: Is 16490599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(200) + -1 + (sqrt(2) - 6*sqrt(6)\/sqrt(3)))**2 + -5.\nAnswer: -10*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -acca88 + 6?\nAnswer: -acca82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Are 2\/73967 and -0.033 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 225*j - 34*j - 506*j - 490*j to o*j + s and give o.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (-8)\/(-12))*-5 + 2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x - 16. Let p be y(8). Let r = p - -6. Suppose 4*o = o - c + 5, -2*o + 4 = c. Sort o, -3, r.\nAnswer: -3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -1\/7 (c) -1345 (d) 361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 6698\/3, -4, 5, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -16, -22, -28, -34, -40?\n\"Answer: -6*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 70, 123, 176, 229?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 11*b. Let t(g) = -22*g. Let i(u) = u**3 - 12*u**2 + 37*u - 17. Let v be i(7). Determine v*t(d) - 7*f(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-9)*(-2106)\/(-195).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0 - -5) + -1 + 0. Let z be (-1 - 0)*2*-1. Let i(h) = 0 - z*h**2 - 4 + 2 - l*h. Give i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -276 + 274. Let x(d) = -1541*d**3 + 3*d**2 + 9*d + 1. Is x(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 - -2 - (-5 + 2). Which is the biggest value? (a) g (b) 1\/12 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 34*m**2 - 475*m - 23. Determine r(15).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d - 4. Let c be r(4). Suppose c = 2*g - g. Suppose 3*x = -x + 4*s - 12, -x - 2*s + 9 = g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1028, 6412, 20572, 47894, 92764?\n\"Answer: 731*q**3 + 2*q**2 + 261*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7 + (-3)\/1 + 4. Let g be 4\/6 + o\/6. Solve 0 = t + g + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -c7 - -9aa?\nAnswer: 8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:56 AM and 1:20 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 19213 smaller than 19214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 423 divide 2447478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**2 + 9*a - 2. Let d be o(6). Let z be (d\/(-4) + 1)*-24. What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9830, -9838, -9846, -9854?\nAnswer: -9862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = g - 12. Let k(h) = -h**3 + 7*h**2 + 6. Let u be k(7). What is the units digit of ((-30)\/(-25))\/(u\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 12, -129010, 4, -0.2 in ascending order.\nAnswer: -129010, -0.2, -0.1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-392)\/(-224) + (-26)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(((-40)\/135)\/((208\/12)\/(-13)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i, c - 125 = -4*i - i. Calculate the greatest common divisor of 25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6861 = -4*c + 6857, 5*c = -4*z - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.8? (a) -4 (b) -0.15 (c) -2432 (d) 1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 5*t**3 - 4*t**2 - 2*t + 4. Does 11 divide r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0\/19 + (2 - -1) - 111. Let v = -104 - u. What is the greatest common divisor of 44 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 7*z - 9*z + 13*z)*(-5*z + 2*z + 2*z) to the form p*z + y*z**2 + x and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -64, -196, -414, -724, -1132, -1644, -2266, -3004?\nAnswer: -3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 7:41 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15455964 is divided by 7727957?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 3501.53 nanometers to kilometers.\nAnswer: 0.00000000350153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 2 f when four letters picked without replacement from {i: 1, k: 5, u: 3, w: 8, f: 2}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n - 13. Let a be m(6). Let k be 51\/15 + (-2)\/a. What is f in -4*f**3 + f**2 + f**2 + 3*f**k = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48873 is divided by 6770?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bvqtqqbqft. Give prob of sequence vqq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 11) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 285*z = 625 + 515. Solve -z*k + 4 = -2*l, 2*l + 2 = -116*k + 118*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of t**3*u - 7*t**3 + 312*t**2*u**2 - 6*t**2*u + 726*t*u**2 - 2*u**2 - 136*u wrt t?\nAnswer: 6*t*u - 42*t + 624*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14 - -29. Calculate the smallest common multiple of 10 and (2 - 2) + (g - 4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/36*(-153)\/34.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 11 = -b. Suppose 1 = 4*j - 19. Calculate the least common multiple of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 729875019?\nAnswer: 3, 67, 3631219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 + 40 + 3)*(3*p**2 + 0*p + 0*p)*(3*p**2 - p**2 - 12*p**2).\nAnswer: -1020*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 - 20*n**2 + 43*n + 8. Let j be y(7). Is j > -328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/(t\/t**(15\/2))*(t**17*t)\/t*t*t*t**(-1\/13)*t**30 assuming t is positive.\nAnswer: t**(1467\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1215069 is divided by 1215061.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 4, y: 1, c: 1, u: 5}. Give prob of sequence ucu.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5301 is divided by 221.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 85 + (11 - ((-17 - -37) + 17)) + (1 - -10).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7017070 to the power of 1\/2, to the nearest integer?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 482*h**2 + 3406*h - 1. Let t be m(-6). Which is bigger: -3089 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1263465, 1263467, 1263469, 1263471, 1263473, 1263475?\nAnswer: 1263477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 9d7e6 (base 15) to base 10\nAnswer: 501291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**3 + 17*k**2 - 7*k + 122. Calculate m(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-34)\/(-8) - (-42 + 46))*0. Factor -1\/6*p**2 + x - 1\/3*p.\nAnswer: -p*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-1*sqrt(176)*-1 + -2*sqrt(176)*5 + (sqrt(176) - 4*(sqrt(176) + 0 + sqrt(176))) + -2 + 1))**2.\nAnswer: 1152*sqrt(11) + 405513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2 - 10*p + 10. Let i(q) = -q**2 + 8*q - 2. Let j be i(6). What is the tens digit of l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -9*b + 4. Calculate f(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 143758 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of -n**2\/2 - 2*n + 3. Let j be h(-8). Suppose 0 = -3*t + j. Solve -3 = t*w + 3*m + 3, -m + 8 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 75 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.904 + -16.096. What is the nearest to 2 in -0.06, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 315, -5, 5, -2, 8, 15 in decreasing order.\nAnswer: 315, 15, 8, 5, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*z**2 + 438*z + 15987.\nAnswer: 3*(z + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 189, 190, 191, 192, 193?\n\"Answer: o + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2516639 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4593 - 3216. Calculate the highest common factor of v and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3211 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5 (b) -0.3 (c) 537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*a = 63 - 19. Find the third derivative of -2*m**2 + 8 - 15 - 6 + 119*m**4 - a - 34 wrt m.\nAnswer: 2856*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i - 2*i + 3*i)*(2*i**2 - i**2 - 4*i**2)*(0 + 2*i + 0).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 5229, 10443, 15655, 20865?\n\"Answer: -d**2 + 5217*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 16\/(-36) + (-735)\/(-135). Suppose -30 = k*m - 0. Let o(a) = -5*a**3 + 6*a**2 + 4*a - 4. Let w(d) = 6*d**3 - 7*d**2 - 5*d + 5. What is m*w(p) - 7*o(p)?\nAnswer: -p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(720) + sqrt(720) + -5*(sqrt(720) + 1) + (sqrt(720) - (sqrt(720) - (1 + sqrt(720) + -5 - sqrt(720) - sqrt(720) - sqrt(720)) - sqrt(720))**2).\nAnswer: -2901 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1*sqrt(343) - sqrt(343))**2 + (sqrt(28))**2 + 1.\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2165091347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-2\/51)\/u)\/((u\/u**(-1\/36))\/u))\/(u**(-2\/19))**(-1\/30) assuming u is positive.\nAnswer: u**(-4099\/58140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 236*f**2 - 3*f + 1. Suppose 4*m + 43 = 3*a + 14, 16 = 4*m. Suppose l - a*l + 14 = 0. List the prime factors of w(l).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -3, -5, -14038981 in ascending order.\nAnswer: -14038981, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -52352665 - 60967335. What is z rounded to the nearest one million?\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yklpykwttwlyll. Give prob of sequence tky.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7594 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 - (6 + -5 + -8)) + (-57)\/9. Which is the closest to -0.2? (a) n (b) 0.3 (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + y = 771, 0 = -3*g + y - 1680 + 2854. Suppose 3*k + 0*k - 43 = j, -2 = -j. What is the remainder when g is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 60548.4 - 52301. Round k to the nearest 100.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/((-12)\/8*52\/13)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1408 > 1409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36, -32, -28, -24, -20, -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 8)*(18\/(-9) + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 4*i + 36. Let a(f) = 5*f + 36. Calculate 3*a(t) - 4*n(t).\nAnswer: -t - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 363, -2, -1 in descending order.\nAnswer: 363, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(450) - sqrt(450)*-1) + sqrt(450) + -1 + 4*(sqrt(450) + 0 + sqrt(450) + sqrt(450)) + 4)**2 + -4.\nAnswer: 1350*sqrt(2) + 101259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125288262?\nAnswer: 2, 3, 11, 210923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (u + u + u)*(-u + 4*u - 6*u) + 7*u**2 + 8*u**2 - 11*u**2 + (3*u + 3 - 3)*(-u + u - 5*u) to the form q*u**2 + i + l*u and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5456483 to the power of 1\/2, to the nearest integer?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-28*g + 268 - 268)*(1 + 2 - 1)*(g - g - 2*g**2 - 4) + 5*g - 35*g**3 - 5*g.\nAnswer: 77*g**3 + 224*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c - 5 = -w + 3*w, 0 = 4*c + 4*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -0.03, 3\/5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 1001 divide 2304775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0 times 30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*w - 72*w + 233 = 2 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35757907 to the nearest integer?\nAnswer: 5980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z\/(z\/(z*z\/((z*(z\/(z\/(z\/(z\/z**7))))\/z)\/z))*z)))\/z**7 assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 9:35 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*b**2 + 6*b**2 + 15*b**2)*(-2 + 2 - 1 + (-2 - 2 + 2)*(1 - 1 - 2) + 4 + 0 - 2).\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -25, -34, -49, -70, -97?\n\"Answer: -3*b**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*l = -45*l - 60 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, 6, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -411 (base 7) to base 2.\nAnswer: -11001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25 and 20848675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 417887 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2372 divided by 1?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6 - 11 - -2 - -15. Suppose -3*b - 6 + p = 0. Solve 0 = -4*q + 4*y + b - 6, 5*q = 4*y - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6362428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -677 - -17. Let k be (55\/o)\/(22\/12 - 2). Which is greater: 29.4 or k?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ufu when three letters picked without replacement from {f: 3, u: 5, w: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19068, -39247, -59414, -79563, -99688?\nAnswer: -119783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, 22 in ascending order.\nAnswer: -3, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 25418 and 1053057.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 3*t**3 + 11*t**2 + 1588*t + 7931. Calculate m(-5).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 15.559 plus 527?\nAnswer: 542.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the first derivative of g**2 - 6*g - 3. Let i be a(4). Factor 9*j - 7*j**2 + 0*j - 9*j**3 - 5 + i*j**2 + 3 + 7*j**4.\nAnswer: (j - 1)**2*(j + 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 2*y**2 - 5*y - 53. Let m(h) = h. Calculate -j(x) - 3*m(x).\nAnswer: -2*x**2 + 2*x + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3532 - 320125?\nAnswer: -312153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 81363 divided by 79\nAnswer: 81363\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20 - 2. Suppose -4*h - g + 6*g = -z, 5*h = -4*g + 2. Let k be 55\/(-132) + h\/(-8). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 518.1555ml?\nAnswer: 0.5181555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) 7 (b) -2\/21 (c) -163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f**4 + 3360*f**3 + 1348846*f**2 - 52883688*f + 51531480 = 0. What is f?\nAnswer: -858, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 7*u + 10. What is the closest to -2 in u, 0.2, 3, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*k + 194 = 267*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**3 - i + 4. Let m be w(0). Suppose -2*y + 31 = m*f - 5*f, -3*f - 9 = 0. What is the highest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-7)\/(-42)*21 - 2. Sort -0.6, b, -5 in descending order.\nAnswer: b, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 5*l - 5*k + 9 = 0, 5*l - 2*k = 4. Suppose 4*n + 188 = l*h, -2*h + 3*n = 2*h - 371. 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 remainder when 249 is divided by 95?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14992 + -15006. What is the nearest to u in 4\/7, 0.061, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 5*c**3\/6 - c**2\/2 + 9*c - 24. Let t(g) = -2*g**2 - 10*g - 2. Calculate -6*t(q) + 10*z(q).\nAnswer: 2*q**2 + 10*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 + 15. Suppose u = -4*w + 9. Let c(s) = 5*s**2 + 5 + 4*s**3 + 6*s - s**3 - 2*s**3. What is c(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*k + 0*k - 2*k + k**2 + (-3*k + 2*k + 6*k)*(-1 + 2*k + 1).\nAnswer: 11*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -934*j - 153. Is r(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -857173\/154460 + -4\/7723. Find the common denominator of a and 13\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gpzv when four letters picked without replacement from {v: 1, z: 5, g: 2, p: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 4*i - 5. Suppose -2*t + 3*y = -0*t - 68, i = 4*t - y - 146. Calculate the least common multiple of t and 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 = -0*l + 4*l - 26, -22 = 8*z - 2*z + 4*l - 64 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0.1, -3\/4, -357 in descending order.\nAnswer: 3, 0.1, -3\/4, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144 + 73 = 7*r. Suppose 111 = 2*o + r. Is (o\/(-20))\/(2\/(-257)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.08717 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 2a5a9 (base 12) to base 15.\nAnswer: 129d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -46*c + 9. Let t(m) = -2*m. Give t(x(w)).\nAnswer: 92*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 2101 (base 3) to base 2\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1263114 to 3 decimal places.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**3 + 4*h**2 - 3*h - 2. Let f = -81 + 84. Determine b(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 100010111111101 (base 2) in base 15?\nAnswer: 5497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-5)*t\/(t*t*(t\/t**0*t)\/t))\/(t\/t**(-2\/3))**31)**(-1\/50) assuming t is positive.\nAnswer: t**(88\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.8201716 + 4.82. Round p to 6 decimal places.\nAnswer: -0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -6136 divided by 52\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 1\/912881107 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 5*j + 67. Let z(f) = -1. Let m(l) = q(l) - 6*z(l). Is m(-8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 - 4 - 7*s - 2*s + 11 + 0. Give m(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, v: 2}. What is prob of sequence vvo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/22 and (8 - 5) + 63\/(-16)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 0 - 2 + 3 + 0 - 374*o**2 + 378*o**2. Let h(m) = -67*m. What is u(h(q))?\nAnswer: 17956*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1995 - 905. Let a = b - 2131\/2. What is the common denominator of a and -69\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the third derivative of q**5\/60 - 5*q**4\/8 + 7*q**3\/3 - 3*q**2 - 5*q. Factor k(j).\nAnswer: (j - 14)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2640\/(-435) - (-2)\/29. Let l(j) = 2*j + 42. Calculate the smallest common multiple of 6 and l(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = 63 - 73 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -780 by 390.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 - -2.1. Let g = 0.04 + -7.04. Let d = -8 - g. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-29 - 9) + 15 + (7 - 20).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -144, 2\/11, -3, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of 5*u**4\/4 + u**3\/3 + u**2\/2 + u - 18. Give j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (27\/(-63))\/(399\/(-266)). Suppose -a - 8 = -5*a. Determine p, given that -s + 5\/7*p**3 - 13\/7*p**a - 2\/7*p**5 + 9\/7*p + 3\/7*p**4 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 18834*h**6 - 8*h**2 + 199*h + 2 wrt h?\nAnswer: 2260080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1078 (base 10) in base 11?\nAnswer: 8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the second derivative of 1817*c**6\/6 - 49*c**4\/2 + c**2\/2 - 5798*c. What is the third derivative of r(d) wrt d?\nAnswer: 218040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 177.3 - 7.3. Let h = a - 169.85. What is the smallest value in -2\/11, -2\/9, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34146360 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 18732807 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 140856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -887, 5, -3, 1, 0, -2 in ascending order.\nAnswer: -887, -4, -3, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -18, -3\/4, 4\/5, -3\/2, 2\/21, -3 in increasing order.\nAnswer: -18, -3, -3\/2, -3\/4, 2\/21, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 5*o**5 + 110*o**4 - 28780*o**3 - 962110*o**2 + 28775*o + 962000 = 0.\nAnswer: -65, -37, -1, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*u**2 - 2*u**4 + 4*u**2 + (0*u**3 - 3*u**3 + 5*u**3)*(-5*u + 3*u + 3*u) - u**2 + u**2 + u**4 + (0*u**2 + 2*u**2 - 3*u**2)*(-u**2 + 3*u**2 + 0*u**2).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 49367861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 51976 divided by -104\nAnswer: -6497\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16*o**3 - 306444*o**2 - 119532071*o.\nAnswer: 96*o - 612888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -44127\/10 + 4417. Suppose -3*p + 2*p - 2047 = 0. Let h = p - -24599\/12. Find the common denominator of n and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -23 - -45. Suppose -17 = -2*r + p, -2*r - 2*r + s = 2*p. Find the first derivative of 13*g**2 - 2 - 13 + r wrt g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 876, 868, 848, 810, 748, 656, 528, 358?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/10 - 21\/15. Let q = s + -3. Let c be 8\/6*(-75)\/50. Is q at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 67519 or -1?\nAnswer: 67519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/846 in 3, 5\/3, 2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ctcct. What is prob of sequence ct?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h = -21*h + 20787. Let s = 2942 - h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vbbkbbkqvackvab. Give prob of sequence kcv.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 4*q = 8, -14 = s - 2*q - 0*q. Let y = 6 + s. Suppose -5*o - 21 = -66. Calculate the remainder when o is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -623 - -628. Solve 0 = s*w - 2*d - 33, 17*d - 13 = -5*w + 14*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1964319.\nAnswer: 3, 7, 89, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**3 - 26*f**2 + 28*f + 24. Let u be c(-27). Suppose -5*g = -25, -4*t = -g + 173 + 56. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 3, -1\/3, -17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-30)\/9)\/(5\/(-180)). Suppose -2*z - 1637 = -5*f - 227, 3*z = -15. What is the highest common factor of d and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the third derivative of 0*a + 5\/84*a**4 + 2\/105*a**5 + 2\/21*a**3 + 1\/420*a**6 + 0 + 2*a**2. Suppose p(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1533, -0.4, 2, 5 in ascending order.\nAnswer: -1533, -0.4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 20*p**3 - 477*p**2 + 481*p - 1. Calculate y(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 43919035 to the nearest integer?\nAnswer: 6627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 93*v - 2.\nAnswer: -93*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.408033 + 174083\nAnswer: 174082.591967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u + 7. Suppose -3*v + p + 12 = 2, 4*v + 4*p - 24 = 0. Suppose v*r - 18 = -5*r. Let j be 3 + -1 - -2*(r + -3). Calculate l(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13332 + -6947. What are the prime factors of k?\nAnswer: 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24254747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-3) - -1*182\/42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2212133515 + 0?\nAnswer: -2212133515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 9*d + 17. Let o = -208 - -215. Let b(l) = -10*l - 15. Let v(m) = o*b(m) + 6*h(m). Let r(n) = n. Give r(v(y)).\nAnswer: -16*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 138, 2.27, 3.\nAnswer: 2.27, 3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001139853 to 6 decimal places.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17753483.\nAnswer: 11, 31, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**4 - 38*g**3 + 39*g**2.\nAnswer: -g**2*(g - 1)*(g + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 636*x**3 - 4*x**2 - 4*x - 8. Let w(s) = 635*s**3 - 5*s**2 - 5*s - 10. Determine 5*t(r) - 4*w(r).\nAnswer: 640*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.086 - 0.014. Which is the second smallest value? (a) u (b) 1\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 520*j**4 - 14*j**2 - 34074*j?\nAnswer: 6240*j**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 222 and 4859691.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 84 = -r + 102, -2*q = -4*r + 772. Let u = r - 441. Let l = u + 1040. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1375?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 b, and 1 h when three letters picked without replacement from {b: 2, h: 1, g: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000007 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2*z + 3 + 0*z)*(26 + 132 + 38) + (1 + 0 - 3)*(-28*z - 190 + 190).\nAnswer: 448*z - 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 6 + (-9 + 9 + -1 + 9 - (-6 - -13))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -793, -1648, -3081, -5092, -7681, -10848, -14593?\nAnswer: -18916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2*u = -6*u + 223, 2*u = -5*v + 353. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24767050, 24767048, 24767044, 24767038?\nAnswer: 24767030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -29) + (-17 - 2) + (-2 - -19).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -23.736322 take away -3?\nAnswer: -20.736322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -52 + 45. Let b(s) = 2*s**2 + 13*s - 10. Let i be b(y). Let w be (i\/5)\/((-1896)\/(-380) + -5). Calculate the greatest common factor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -30.5 - -14. Let d = w - 150.5. Let a = d + 165.73. Round a to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 19 = 2*c, c - 5*c - 33 = 5*k. Let i be 459 - (-3 - (c + 0)). Suppose 43 = -5*l - 3*y + i, -396 = -5*l + y. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-4*((sqrt(42) - (sqrt(42) + 1*sqrt(42) + sqrt(42) + sqrt(42) + sqrt(42)))\/sqrt(6) - (sqrt(7) + 0)*-1 - (-1 + sqrt(28) + 1 + sqrt(28))))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes before 4:55 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of -2*b**2 - 6*b**6 - 73\/4*b**4 - 28\/3*b**3 + 0*b - 84\/5*b**5 + 6. Factor s(m).\nAnswer: -m*(2*m + 1)**2*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 64*b + 25 = -69*b, -2*q - 2*b + 22 = 0. Let h(s) = 201051*s**2 + s. Let k be h(-3). Let r be k\/(-77) + q\/(-14). Round r to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 15*s. Let v(a) = 19*a**2 - 666*a + 32. Let h be v(35). Let r(g) = g. Give h*r(z) + k(z).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of 83*p**5\/60 - p**4\/24 + 3*p**3\/2 + 220*p**2. What are the prime factors of m(3)?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from {f: 1, v: 2, k: 2, t: 2, x: 10, d: 3}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 396075803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/3*(19 + -4). Suppose q*j + 3 = 68. Let z(t) = 17*t - 3. Let u be z(4). Calculate the greatest common divisor of u and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 142656950 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 151*b**3 + 10*b**2 - 7*b - 9. What is w(2)?\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*q + 4*j, -3*q - 2*j - 8 = -5*q. Let n(c) = c**2 - 11*c + 27. Calculate n(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**2 + h - 45. Let n(d) = -d**2 - d + 45. Determine -3*n(a) - 4*s(a).\nAnswer: -a**2 - a + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 100370842.\nAnswer: 2, 11, 13, 350947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hlhllhlhhfhlh. Give prob of sequence lhll.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*h + 7*h - 7241 + 7241.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.6, 4493, -3\/43 in increasing order.\nAnswer: -1.6, -3\/43, 4493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -3*j - 93, -4*v - 4*j = -36 - 64. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 170 + 128 = 5*v, -2*v = -5*n + 61. Solve 5*m = 3*h - 5, 3*h + 4 - n = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5*6*-100 + (-7 - -5). Let v = -1993 - q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**2 + 0*o + 0*o)*(o - 2*o + 3*o) - 27960*o**2 - 31*o**3 + 27960*o**2.\nAnswer: -33*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -88*u + 80*u + 7680. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 17583 - 17583 - 339*j**3 + 469*j**2 - 44*j**2 wrt j.\nAnswer: -2034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31024 = -4*d - n, 2349*d - 2354*d + n + 38771 = 0. What are the prime factors of d?\nAnswer: 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(160\/48)*((-24)\/99)\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 15 = -5*g - l, -2*g = 4*l + 22. Let r(f) = 3*f - 2. Let d(c) = c - 1. Let y(u) = g*r(u) + 2*d(u). Let t(m) = 2*m. What is y(t(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/((-16)\/(-10)))\/(1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 504, 37 in decreasing order.\nAnswer: 504, 37, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -88 in 2, 13, 0.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.01 + 3.01. Let z = -4 + i. Let f = 2\/9 - 4\/99. Is z > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*a*b + 12187*a*j**2*o + 5*a*j + b*j**2 + 299*b*j + o wrt j.\nAnswer: 24374*a*o + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.146 - 0.12. Let v = f + -0.0260135. What is v rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of s**7\/105 - s**4\/3 + 7*s**2. Find the second derivative of n(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 t, and 1 v when three letters picked without replacement from vhvhhhtvvvhttlh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 11*k = 13*k - 6, -4 = 4*f + k. Let m(h) = -231*h - 21. Let l(d) = -23*d - 2. What is f*m(p) + 21*l(p)?\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of -221*j**4\/8 - 181*j**3 - 196*j**2. What is the derivative of a(g) wrt g?\nAnswer: -663","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-78)\/(-65))\/(3\/(15\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5533602102 and 2051?\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/(-1) + 6\/2. Let p = 3 - x. Let z(r) = -7*r**2 + 2. Let m(k) = -4*k**2 + 1. Let t(s) = 5*m(s) - 3*z(s). Calculate t(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -15*r**3 - r**2 + 23*r + 1. Let i(o) = 1 - 2*o**3 + 3*o**3 - 5*o**2 + 4*o**2. Let w(n) = -i(n) + v(n). Find the second derivative of w(q) wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 214 + -82. Suppose 3*x = 5*f - 473, 0*f + 2*f - 3*x - 191 = 0. Let g = f - 82. Calculate the highest common divisor of r and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4929 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 19*b**3 + 11*b**2 - 100*b - 48. List the prime factors of n(12).\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(170) - (sqrt(170) - -3*sqrt(170)*1) - sqrt(170)))\/((1*2*sqrt(110) - sqrt(110))\/sqrt(11)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-4) + 1\/2. Suppose r = -3*d + d + 3*u, -3*d - u = 0. Is -5\/4 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11081963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 26 = 5*y, -2*y = y - 6. Suppose 2*f - 3 = -5*h + g, 20 = -5*f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2036198 + 3486198. What is m rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -22c0 + -2?\nAnswer: -22c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 + 363*q - 28820. Determine j(67).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, j: 6, i: 1, u: 4, l: 1, c: 1}. Give prob of sequence cjcl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**2 - 5*b - 12. Let u be g(-7). Let w = u + 27. Is w\/2 - (-2058)\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19.7449357 - -2.7449087. Let d = l - -17. What is d rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 + 6 = -4*a. Let o(b) = 1 - 8 - 2*b - b - 2*b. Let y be o(-5). What is the greatest common factor of y and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -24*w**2. Let r(g) = -106*g. What is r(q(f))?\nAnswer: 2544*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 5*r + 3. Let m be w(3). Solve -x + 4 = 0, -2*d - 5*x + x = -m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1\/3 - 1\/3*u**2 - 1\/3*u**3 + 1\/3*u = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3417586701.\nAnswer: 3, 1481, 769207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = 3*x - 0*x - 5, -2*x = -2*m + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10875 and 13424?\nAnswer: 145986000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -770, -2, -4, 0, -3, 2 in descending order.\nAnswer: 2, 0, -2, -3, -4, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uqd when three letters picked without replacement from {q: 6, n: 4, d: 4, u: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -9284.137494 to one decimal place.\nAnswer: -9284.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -50894937*j**3 + 53685203*j?\nAnswer: -305369622*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**3 - 7292*t**2 - 5366144*t - 1120403136.\nAnswer: -2*(t + 452)**2*(t + 2742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*g - 2*f, -25*f + 16 = -29*f. Suppose 198 = g*m - 21. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 22*r. Let s(f) be the second derivative of -f**4\/12 - 4*f. What is j(s(h))?\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 24243499 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:06 PM and 5:24 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17.07 - 17. Let x = -0.37 + l. Let r = x - -0.8. Which is the third biggest value? (a) 3 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(225) + (sqrt(225) + sqrt(225)*5)*-5 - sqrt(225))\/((sqrt(363) + sqrt(363)*-4)*-2).\nAnswer: -25*sqrt(3)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -6. Let u(m) = -7 + 7 - h + 7*m. What is the remainder when u(6) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -7*w**2 - 10*w + 6. Suppose o - 19 = -4*u, -u + o + o + 16 = 0. Let c(i) = -i**2 - i + 1. Let v(a) = u*c(a) - r(a). Determine v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9 - 7 + 18 - h**4 - 2*h**3 + 5*h to the form y + w*h**3 + x*h**2 + a*h + b*h**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -111*o - 7. Let h(n) = -68*n - 9. Calculate -5*a(s) + 6*h(s).\nAnswer: 147*s - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15539.\nAnswer: 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2793363737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -136164981*b**4 - 99837495 wrt b?\nAnswer: -544659924*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(228) + sqrt(228) + sqrt(228)*1)\/sqrt(4) - sqrt(627)\/(sqrt(33)\/sqrt(3)))*-5)\/(sqrt(75)*2 - sqrt(27)\/(sqrt(9)*-2)) + -2.\nAnswer: -20*sqrt(19)\/21 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - -1219b3?\nAnswer: 1219b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(448) + -2)*6*-6 - (-2 + 1 + sqrt(448)*-2 + -2 + sqrt(448) + -1).\nAnswer: -280*sqrt(7) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6452.1 - 6452. Which is the second smallest value? (a) 4 (b) x (c) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*q + 29*q + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 3*u + 244 + 181, -k + u + 205 = 0. Calculate the remainder when k is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c + 3. Let w be b(-6). Let g = 2 - w. Solve -12 = g*l + 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6020 is divided by 1878?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*v - 716046 = -716046 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 41645509163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l + 7*l + 424*l**3 - 37*l.\nAnswer: 424*l**3 - 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 32 = 10*s. Suppose 5*w - 123 = -3*i - 20, i + 96 = s*w. Let c(j) = -j**2 + j + 68. What is the remainder when c(0) is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (20*r**2 + 52*r**2 + 123*r**2)*(r**3 - 6*r + 6*r + (2*r**3 + 2 - 2)*(-1 + 0 + 3)) - r**2 + r**2 + r**5.\nAnswer: 976*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1811, -1816, -1823, -1832?\n\"Answer: -o**2 - 2*o - 1808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 20 - 22. Let x be l - 0 - 14\/(-4). What is the closest to -1\/2 in -3, 2\/3, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 598545 and 470?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the third derivative of 130*v**2 - 1\/180*v**6 + 7\/15*v**5 + 2744\/9*v**3 + 0*v - 49\/3*v**4 + 0. Find z, given that g(z) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*f**3 + f**3 + f**2 + f**2 - 10*f**2 - 7*f**2 + 2*f to the form c*f + m*f**3 + y*f**2 + k and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.01 (b) 65\/19 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, 4\/5, 60\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -432237 rounded to the nearest one thousand?\nAnswer: -432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/12 - (-4)\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -67 <= -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 27*g. Let h(p) be the third derivative of -13*p**4\/12 - 454*p**2 + p. Give -6*h(d) - 5*l(d).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u - 138 = 166. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**3 + 218*b**2 + 848*b - 1593. Calculate h(-214).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.9, 1\/2, 10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*b - 4*b + 12. Let y(t) be the first derivative of -5 - 1 + 8*t**2 - 2*t**2 + 3*t - b. Find the first derivative of y(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11517 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k = -2*k + 80. Let l be 8 + ((-60)\/50)\/((-3)\/k). What is the greatest common divisor of l and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 693, 1406, 2117, 2826?\n\"Answer: -z**2 + 716*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 54 (base 11) in base 5?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-18) + 1218679\/(-8379))\/(10\/4).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2411 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 634*j**3 + 2*j**2 - 2*j + 1. Let t be s(1). Let r = -264 - -5809\/22. Find the common denominator of r and 2\/(-3) + t\/(-330).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(1\/1)*24\/72*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 - 5*w - 1. Let z be c(-2). Suppose -2*o + 3*t + 87 = 0, 6*t - 56 = -o + 5*t. Suppose z*a - o = -5*x + 9, -a = 0. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21bb9 (base 16) in base 12?\nAnswer: -67b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 312057284 and 58058.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 + 1 + 4\/(-2)*-1. Let l be (-17)\/6*(-6 - r). What is the highest common divisor of 153 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -700 = -4*s - 0*s. Let h = 195 - s. Solve 4*v + 7 = 3*q - 7, -5*q = 2*v + h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*v + p - 3, 2336 = 4*p + 2340 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 68*c**2 - 57*c**2 + 14*c**3 - 2 - 3*c**3 in the form o*c**3 + u + f*c + k*c**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1040 - 1018. Suppose 4*a - 11 = 5. Solve 5*k = -5*h + 2*k - q, 4*h + a*k = -16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.4 and -33569336.\nAnswer: -33569336.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1258 - 2515\/2. Let p = -20.9 - -21. Let d be 1*(-4 - -1) + 0. Which is the closest to s? (a) d (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*i - 9*i**2 + 3*i**4 - 2 + 7*i**2 + 0*i**4 - 12*i to g*i**3 + s*i**2 + l + f*i + o*i**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(612) - (sqrt(612) - (-2 + ((sqrt(612) - -1*sqrt(612)) + sqrt(612) - sqrt(612))))) + sqrt(612)*-2 + sqrt(612) + 3)**2*-6.\nAnswer: -3678 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -2*k, 3*k + w - 23 + 3 = 0. Let m be (-7)\/2*(-2 - 0). Is m equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 42 + -46. Let q(t) = 165*t - 5. Let v(p) = -55*p + 2. Let w(a) = s*q(a) - 11*v(a). Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ozlolllolzz. What is prob of picking 1 o and 1 z?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-78)\/(-13)*(-2)\/(-264)*4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:03 AM and 5:52 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-308)\/(-35)*(-5)\/(-2). Suppose 0 = -i*q + 24*q - 54. What is the least common multiple of 114 and q?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**3 - 1 + 1)*(1 - 5 - 3).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (-6)\/(-8)*(-24)\/(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 154, 243, 346, 463, 594, 739?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37679, -75334, -112967, -150566, -188119?\nAnswer: -225614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -2*y - 2*d + 17, 4*d + 22 = 2*y. Let l(u) = -2*u**2 + 15*u - 1. Let h be l(y). Determine s, given that -9 - s**2 - 2*s**2 + 7*s**2 - s**2 - h*s = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 24 - 15. Suppose 21 + 2 = 23*c. Suppose 5*b = c + u. Solve -5*k + 12 - b = 0, 4*k - 10 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002998 to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 369 divide 202581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 12 divided by -18480\nAnswer: -1\/1540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -100 (base 2) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/2, -22, 0.0413 in increasing order.\nAnswer: -22, -3\/2, 0.0413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.014172 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2\/((64\/(-30496))\/(-1*13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 2*c - 74 = 0, 0 = 5*c - 5 - 5. Let v = -45048 + 45111. Calculate the greatest common factor of v and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.04 - 0.66. Let z = 4.32 + c. Round z to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 16\/232 + (820\/(-116) - -7). Let t(j) = j. Let y be t(-2). Sort -5, y, u in decreasing order.\nAnswer: u, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 AM and 3:35 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5340?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15126029.\nAnswer: 1543, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 29489 and 1147.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 33787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(-18)\/(-372)*((-308)\/33 + 8)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(2*-2*((-1*(-2 + sqrt(176)) - sqrt(176))*-6 + -4)*-1)**2.\nAnswer: -819200 + 49152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (16*a + 53*a**2 - 38*a**2 - 19*a**2 - 2)*(3*a - 2*a**2 - 3*a) to p + u*a + s*a**4 + z*a**3 + c*a**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -483, -1853, -4107, -7245, -11267, -16173?\n\"Answer: -442*t**2 - 44*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.9 - -3.2. Which is the second biggest value? (a) -1 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -3014, -6019, -9016, -11999, -14962, -17899?\n\"Answer: n**3 - 2*n**2 - 3006*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4880508 rounded to 3 dps?\nAnswer: -0.488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.0722 - -42.3722. What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, i: 8, r: 4, d: 2}. Give prob of sequence idr.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*d**5 - 12*d**4 - 6*d**3 + 12*d**2 - 3*d = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-70 - -74) + 5 + 1 + 20 - 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8 - 454*c + 357*c - 975*c to the form r*c + k and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 + 10*a - 11. Let h be z(-11). Factor -6\/5*n**3 + h + 2\/5*n**2 - 2\/5*n**5 + 6\/5*n**4 + 0*n.\nAnswer: -2*n**2*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1062)\/(-6195))\/(13\/130).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 403 = -2*a - 3*a, -4*a = 3*v - 341. Suppose o = -3*f + v, -3*o - 107 = -5*f + 48. What is the highest common factor of 272 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 367 + -252. Calculate the remainder when g is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 983 = 14*j - 1005. Let c = j + -33. Calculate the remainder when c is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from daldyljwj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -27 - -42. Let h(q) be the second derivative of q**5\/5 + q**4\/6 - q**3\/6 - q. Let n be h(1). Calculate the greatest common factor of n and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the first derivative of -13*a**2\/2 + 8*a + 4. What is the tens digit of k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 48\/18*-6*5\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -287 (base 10) to base 6\nAnswer: -1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4673552.75 rounded to the nearest 1000?\nAnswer: -4674000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, c: 6, o: 4}. Give prob of picking 2 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17)\/((-544)\/48)*14*(-6)\/9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53465 is divided by 2445.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 10:09 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10 - -13. Let s(m) = -3*m**3 - m**2 - 7*m - 8. Let r be s(-2). Sort -0.3, g, -0.1, r.\nAnswer: -0.3, -0.1, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 403393*x. Let h(t) = 389*t. Calculate -3112*h(l) + 3*z(l).\nAnswer: -389*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 61875 and 4500?\nAnswer: 247500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together 846 and -22.04279.\nAnswer: 823.95721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o - 4*z - 1732 = -7*o, 5*z = -5*o + 8510. What is the greatest common divisor of o and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, k: 7, p: 2}. What is prob of sequence wkw?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*x**2 + 5 - 14 - 4*x**2 - x**3 to the form d*x + g + f*x**2 + b*x**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p + 1. Let m be y(11). Suppose -s - 2*g - m = -16, 4*s + 4*g = 12. Solve 3*o - 5 = v, 3*o = s*o - v + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -3*b - 1. Let f be h(1). Suppose u + 5 = 5*i - 5, 5*u = -5*i + 10. Put -3, f, 0, i in ascending order.\nAnswer: f, -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + u + 200 = q, q - 41 = -2*u. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 11*i - 1. Let g(y) = 564*y + 1 - 1 - 553*y - 1. Calculate -3*g(f) + 4*q(f).\nAnswer: 11*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 2*s - 2 = 0. What is the units digit of 3 - (1 + 1 + s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14 - -17. Suppose 13 = -4*d + 2*m + 3, v*d + 35 = -4*m. Let w(o) be the third derivative of -o**4\/12 - o**3\/2 + 61*o**2. Calculate w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**2 + 3120*x + 12400.\nAnswer: 5*(x + 4)*(x + 620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 148714*y - 148717*y - 4*r - 41 = 0, -3*r - 71 = 8*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1212\/220153 or 3\/2?\nAnswer: -1212\/220153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -237 - 723 = -76*n - 124 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/6745 and 63\/3116.\nAnswer: 1106180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1330483\/20548)\/((-7)\/4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the first derivative of -m**5\/120 + m**4\/24 - 2*m**3\/3 + 1. Let z(b) be the third derivative of x(b). What is the units digit of z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 220*a + 3*u + 42 = 224*a, 5*a + u = 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 80 + -56. Let h(d) = d**3 - 24*d**2 + d - 20. Let q be h(k). Suppose 8 = 3*v - q, v - 749 = -z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 125093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 20 + -20.21. What is y rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q and 1 d when four letters picked without replacement from qdddddqqdqdqqddqqdq.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*i - 2*i - 6*n, -5*i - 5*n = 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -5 (b) 68 (c) -0.5 (d) 2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide (-272)\/14*(-101185)\/590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2474515\/13 + 190455. Factor -540\/13*o**2 + 2000\/13 + 58\/13*o**3 + p*o - 2\/13*o**4.\nAnswer: -2*(o - 10)**3*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-49)\/(-5) - (224\/(-20))\/(-14). Solve 2*h = -h + t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -126, -121, -112, -99, -82, -61, -36?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 3*i - 24 = 2*i, -2*i = -2*o + 16. Find the third derivative of 816*p**3 + o*p**2 + 2*p**2 - 2 - 892*p**3 wrt p.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-8))\/(-1)*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -4*sqrt(1452) + -3 + ((sqrt(1452) + 4)*-2 - sqrt(1452)) + -3 + -2)**2.\nAnswer: 6160*sqrt(3) + 71548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21, -11, -1, 9, 19?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be -7 + (-56)\/(-4) - 3. Suppose -4*k = -o + 367, 738 = -0*o + 2*o - i*k. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/4)\/((-9)\/2178). Let v = 123 + k. Let b(q) = 5*q**3 + 4*q**2 - 4*q + 1. Calculate the remainder when b(v) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 114\/16 + (-4 - (16 - 13)). What is the nearest to 2\/3 in m, 0.08, -0.5, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**2 - z - 1. Let b = -63 + 35. Let d(g) = 6*g**3 + 60*g**2 + 8*g - 32. Let m(a) = b*k(a) - 2*d(a). Solve m(q) = 0 for q.\nAnswer: -23\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4, u: 3, b: 1, o: 1, i: 5, r: 6}. What is prob of picking 3 r?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-10)\/4)\/((-1)\/2). Suppose 2*k - j*k = -6. What is the second derivative of 3*z + z**3 - k*z + z**3 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15.2*806570.\nAnswer: -12259864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -101000010101000111 (base 2) in base 12?\nAnswer: -7b71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5.1 times 0.08?\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21, -37, -75, -147, -265, -441?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 - -6. Suppose 2*h + m = 5*h. Solve 7 - h = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 674511 + -4729248\/7. Let t = -1100 - x. What is the common denominator of t and -16\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*o - 55*o + 414. Solve -o*m + 3*y = -3*m + 15, 3*y - 15 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 27 - 22. What is the units digit of (-5)\/(g\/(-89)) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15651 (base 7) in base 8?\nAnswer: -10536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -126a - 2?\nAnswer: -126c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/((-2)\/(36\/27)*4\/(-30))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 3*q - 36, -5 = -3*q + 4*q. Suppose 60 = -d*b + 12*b. Find the second derivative of -448*j**4 + b*j - 45*j + 406*j**4 wrt j.\nAnswer: -504*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 212 divided by -53\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 18\/24013 (c) -105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13395 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(133) - sqrt(133)*3)*6*4)\/((sqrt(700) + sqrt(700) + (-1*sqrt(700) + sqrt(700))*-5 - sqrt(700) - sqrt(700) - sqrt(700))*-3).\nAnswer: -16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -48.2 and -6?\nAnswer: 42.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 33803 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 111 + 191 + -323 + (75 - 1)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 583 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -133 (base 5) in base 4?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 12417, 24994, 37729, 50622?\n\"Answer: 79*u**2 + 12340*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is 14977374 times 1?\nAnswer: 14977374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*l - 72 = 6*l. Let r(t) = t - 2. Let c be r(0). Let k be 1*(c\/l - (-4)\/12). Solve k*f = -2*f - 3*p - 5, 0 = -3*f + 4*p + 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 5*v - 173 = 0, l - 226 = -3*l - 2*v. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - 8*x**2 + 7*x + 11. Let p be (-6)\/8 + 69\/12. Let h be -6 - (p + -1 + -1). What is the tens digit of d(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.44 + 1.85. Round j to one dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 7:44 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5.78 - -5.8374. Let p = -0.06 + l. Let w = -0.009 + p. Round w to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4.2, 0.6, -1, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -618048 divided by -928?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -11*z**2 - 4727*z - 81. Let p(i) = 5*i**2 + 2358*i + 36. Give 4*b(k) + 9*p(k).\nAnswer: k**2 + 2314*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8\/(-6)*(-1770)\/472. Let l(y) = -3. Let w(r) = r**2 - r - 5. Determine f*l(k) - 2*w(k).\nAnswer: -2*k**2 + 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -23289, -46334, -69393, -92472, -115577, -138714?\n\"Answer: -z**3 - z**2 - 23035*z - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 200 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the second derivative of n**8\/168 - n**5\/60 + 2*n**2 + 4*n. Let m(l) be the first derivative of u(l). Find the third derivative of m(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/10)\/((-2494)\/58)*2.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -603545882 to the nearest 1000000.\nAnswer: -604000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of o**4 - 1020*o**3 + 2*o**2 - 89 wrt o.\nAnswer: 24*o - 6120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 1, 0.051, 2\/111?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x**3 - 4*x**2 + 9. What is the tens digit of h(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -693, -306, 735, 2754, 6075, 11022, 17919?\n\"Answer: 54*o**3 + 3*o**2 - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*x + 1906 + 2977 = -41*x - 6078 for x.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b*b*b**(3\/4)*b)\/b)\/(b\/(b*b*b**(-2)*b*b))*b**(1\/6)\/b**5)**(-33) assuming b is positive.\nAnswer: b**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 3 b when four letters picked without replacement from bbabhaababkababab?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*p + 4004 - 1192 = 59*p. Solve -28*v = -p - 37 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -392.48 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-560)\/(-6) - 0) + (-2)\/6. Factor -15*d**4 - 88*d**5 + 5*d**3 + 2*d - 12*d + 15*d**2 + q*d**5.\nAnswer: 5*d*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 77 + 23 = -3*l, 33 = 2*i + 5*l. Let c be 1\/2*(1 + i). Solve 6*n - 4*n = -c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from agdoddddo?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + -10463531?\nAnswer: -10463536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 122766?\nAnswer: 2, 3, 7, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 304673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 9539.339 centuries?\nAnswer: 95393.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1000, -998, -996, -994, -992, -990?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 52 (base 10) to base 13.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.987346 to 2 decimal places.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sum 37781.81892 and -0.1.\nAnswer: 37781.71892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1141 and -332.\nAnswer: 37.8812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -6.66188979 to 2 decimal places.\nAnswer: -6.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -1) + -40*999\/6615?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001214278 to 5 dps.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 42\/459125 and 64\/31312325.\nAnswer: 156561625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -194 - -4460\/23. Suppose 0 = 3*c - 2 + 2. Is j at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 140\/(-735)*(-7)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 18\/2*(-80)\/(-60). What is the least common multiple of k\/8*8 - -4 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-2\/5)\/(m*m**(2\/39)))\/(m\/(m**(7\/4)*m)*(m*m*m\/m**(3\/4))\/m) assuming m is positive.\nAnswer: m**(-371\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 5, 3\/5, 0.26?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {v: 3, w: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/1550849 or -1?\nAnswer: -3\/1550849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001480901719 rounded to 7 decimal places?\nAnswer: 0.0014809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 30 = -c + 27, -3*i = -c - 48. Calculate the greatest common factor of i and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:53 PM and 12:22 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 + 8*g**2 - 12*g - 6. Let p be l(3). Let w(j) = p - 162*j - 11 + 164*j. Let z(h) = 2*h**2. Give z(w(c)).\nAnswer: 8*c**2 - 64*c + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/436711 and 115\/259086.\nAnswer: 3901576074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of 4063761.8 and -0.4.\nAnswer: -1625504.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4061113 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -39 - -75 - (14 + -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(360)\/sqrt(8))\/sqrt(3))\/(sqrt(500) + (sqrt(500) + (sqrt(500) - sqrt(500)*-4) - sqrt(500)) - sqrt(5)).\nAnswer: sqrt(3)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**3 - 60*f**2 - 20*f + 240.\nAnswer: 5*(f - 12)*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4822223, -9644443, -14466663, -19288883?\nAnswer: -24111103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-21)\/6 + 91\/14 + -5. Suppose -5*y - 5*d + 33 = -4*d, 27 = 5*y - d. Let g = y + -5. Sort w, -1, g, 5 in ascending order.\nAnswer: w, -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1677415*g = -1677389*g + 1066 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor t**4\/3 + 2053*t**3\/3 + 468540*t**2 + 107139024*t + 106671168.\nAnswer: (t + 1)*(t + 684)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -868 divided by -217.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 5) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7\/12 - -17\/24. Calculate the common denominator of (-1040)\/(-110)*(-1)\/(-2) and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2250 + 1055?\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -383*m + 386*m = -15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l**2 + 3 - 12*l**4 + 9*l + 2*l**3 - 13*l**4 + 24*l**4 to p*l**3 + n + j*l + s*l**4 + v*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**2 + 10*b + 6. Let o be l(8). Let u = o - 15. Suppose 0 = 5*a + 3 + u, -2*m + 5*a = -12. Solve m - 10 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1472\/12 + 1\/3. Let d = t + 42. Let g = -1487\/9 + d. Which is the nearest to -2? (a) -1 (b) g (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 531.0348nm to centimeters.\nAnswer: 0.00005310348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5 and 1635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 356605.5ug to tonnes.\nAnswer: 0.0000003566055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:22 PM and 5:46 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 241771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 435 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12*v**3*z**2 - 1979*v**3*z + 29*v**3 + 307*v*z**2 - v + 7*z**2 wrt z.\nAnswer: 24*v**3 + 614*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -71858*l + 2515024. Give x(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/24 and 1 - 7 - 116740*(-25)\/485700?\nAnswer: 38856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 19 = 3*p, 5*s = 2*p + 2 + 14. Is ((-169)\/(-39))\/(1*s\/354) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 63\/2 + -31. Let r(f) be the second derivative of 0 + p*f**2 + f + 0*f**3 - 1\/12*f**4. Find the first derivative of r(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s = -4*v + 36, 14 + 14 = 3*s + 4*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t. Let r = -9 + 16. Let z = 8 - r. Suppose -4*m = -3*m - z. Let i(l) = -7*l. Give m*i(h) - 5*b(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -6 + 1. Let c be 4\/16 + d\/(-4). Let v be ((-3)\/(-2) + c)*2. Solve 4*k - p = 4, v*p - 5*p = 4*k - 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -61, -413, -1367, -3223, -6281?\nAnswer: -10841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m**3 - 2*m**2 - 4*m - 1. Determine b(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 5*r + 4*w, 3*r - 10 = -2*r + 4*w. What is the remainder when ((-82)\/r)\/(8 - 9) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 7*c**2 + 5*c - 1. Suppose -4*t - 20 = 0, -16*h + 2*t = -20*h - 26. Let o(m) = -8*m**2 - 6*m + 1. Calculate h*g(a) - 3*o(a).\nAnswer: -4*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 27*g**3*q**4 + 7*g**3*q - 2*g**3 + g**2*q - 2*q**4 + 2*q**3 wrt q.\nAnswer: 324*g**3*q**2 - 24*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2 + 9*f - 6. Let a be (4 + (-5 - -2))*21. Suppose -k + a = 3*h, -5*h = -2*h - 3*k - 21. List the prime factors of o(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6398 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 51568 and 16346.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 168 = 9*i. Suppose -51*b = -i*b - 1512. What is the remainder when b is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1478777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 32 + -10. What is the nearest to -0.1 in -5, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/(-7))\/((-12)\/168). Let i be 2 - 1 - (-5 + k + -50). Suppose 0 = 140*j - 139*j - i. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1120120001222 - 2?\nAnswer: -1120120002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 16 = 4*j, -3*k + 43 = -4*j + 45. Solve q - 5*c = 18, -q - 90 = -k*c - 96 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 3 (b) -2\/9 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000101 - -11011?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -135*p + 1. Let g = 195 + -198. What are the prime factors of k(g)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -822 or -819?\nAnswer: -819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -383 + 1?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1723\/101941 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 1+-275132217.7\nAnswer: -275132216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -m + m - 2*m**4 - m**4 + 4*m**2 - 4*m**2 + (-1 + m + 1)*(-2 + 2 - 2*m**3) - 2*m**4 + 0*m**2 + 0*m**2 + 7755*m**4 - 3378*m**4 + 4789*m**4.\nAnswer: 9159*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 5.3 and 1.31.\nAnswer: 6.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -249, -2, 11, -4 in increasing order.\nAnswer: -249, -4, -2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 5 * -255\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(500) + (-2 + sqrt(500))**2 + 3 + -2 + 2*sqrt(125)).\nAnswer: -2525 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -12735471\/29 greater than -439155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 26897551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48765605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -10.638904 to one decimal place.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x*x*(x**2*x)\/x)\/x)**0*(x**2\/x*x)**(-2\/15) assuming x is positive.\nAnswer: x**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 580\/30*642\/428\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-174)\/(-232))\/(((-81)\/8)\/3). Which is the third biggest value? (a) 0.48 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggxx when four letters picked without replacement from {x: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4\/1814010313 or -1?\nAnswer: -4\/1814010313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -f**2*m**3 + 21*f**2*m**2 + f**2*x**2 + 2*f*m**3*x**2 + 550*f*m**3 + 2*f*m**2*x**2 + 848*m*x wrt m.\nAnswer: -6*f**2 + 12*f*x**2 + 3300*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3079608*k**5 - k - 1773067 wrt k.\nAnswer: 61592160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2141542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 9\/2 (b) 1\/4 (c) 4.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 9868, 19733, 29590, 39439, 49280?\n\"Answer: -4*a**2 + 9877*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*l = -149*l + 77*l - 48 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.23 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 50 = -4*f, 2*b = -5*f + b + 67. Suppose -h + 9 = -f. Suppose -4*r = 4*k - 48, -k + h = -0*k - 4*r. Calculate the least common multiple of k and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -10*j + 1. Suppose j*d = 3*b - 27 + 9, -2*d + 12 = 2*b. Let q(w) = w**3 - 8*w**2 + 9*w + 8. Calculate the remainder when q(7) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -180*k + 12*k + 32*k + 28*k + 31*k + 31*k + 36*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 402*c - 145 = 423*c + 128 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 194 = -0*o + 3*d, 5*o = -2*d - 239. Let q = 80 + o. Suppose 5*r - q = 4*r + i, -4*r + 2*i = -140. Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 65*t - 4 - 9.\nAnswer: 65*t - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 2304*n**2 + 176*n. Let z(u) = -329*u**2 - 24*u. Determine 3*k(i) + 22*z(i).\nAnswer: -326*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of w**3\/3 + w**2 - 3*w - 6. Let z be i(2). Solve 24 = -b - 3*b + 2*m, -5*m = z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3231 + -3218. Suppose -12 = -7*n + 3*n. Suppose -n*l = -4 - 113. What is the highest common factor of l and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -9*b**3 - b - 1. Let l be z(-1). Let o = 41 - 14. Calculate the highest common divisor of o and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**2 - 2*z + 6*z + 9*z + 2 + 1. Let h be n(13). Suppose h*a = 8*a - 95. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -113 by 1.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48042, 47805, 47568?\nAnswer: 47331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 5*i + 0*i = 15, -2*y = 5*i - 6. Let j be (5*(28\/10 - y))\/(-1). Solve j = 2*d - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 AM and 3:41 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/10*275\/(-53570). Let z = 60367\/6818 + r. Is z at least 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + 0. Let b = 63559 - 63555. Solve 0 = 2*v + 6, -3*v + 7 = b*y - o*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 881.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*i + i + 2*i + 528*i**2 + 6*i.\nAnswer: 528*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 1011308272 by -97976.\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6855339?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1056 a factor of 8344789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 286791 smaller than 286787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 6 = -u - g, -5*u = -4*g - 40. Let h(v) = -6*v**2 + 2*v - 1. Let x be h(-7). Let w be x\/(-15) + u\/10. Solve p - 5*i = -19, i + w = -3*p + 4*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - 4. Let y be ((-1)\/c)\/(11\/(-66)). What is the nearest to 1 in y, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9156823.\nAnswer: 13, 67, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4969732*h**2*i**3 - 26241173*h**2*i - 5*h*i**2 + 3*i**3 wrt i.\nAnswer: -29818392*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 6730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0.5, -0.1, -80 in decreasing order.\nAnswer: 0.5, -0.1, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1156501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -394*u + 346 = -352 - 90 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o - 3*o + 5*o)*(6*o - 5 + o + 3).\nAnswer: 14*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 15016500 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.4 (b) -1\/7 (c) -1618\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 t when three letters picked without replacement from {h: 1, r: 2, t: 5, d: 2, b: 8}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 2*z + 2 = 0. Let j be 8 + -3 + 3\/z. Suppose 5*f - 2 = f - 3*t, -3*f - 7 = -j*t. Is f at most as big as 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -4, 60, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 157956.3 months in years?\nAnswer: 13163.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (0*o**2 + 4*o**2 - 6*o**2)*(3*o - o - 4*o) + (-4 + 3*o**2 + 4)*(-27*o - 51*o + 25*o) as h*o + d + f*o**3 + n*o**2 and give f.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.6 - 0.8. Let q be 23\/5 + (-4)\/(-10). Let f = 146.4 + -142.4. What is the nearest to l in f, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 305385024?\nAnswer: 2, 3, 7, 19, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (194 + 10*g + 10*g - 9*g - 14*g)*(-2 + 2 + 3*g**2).\nAnswer: -9*g**3 + 582*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be 36\/20 - 1\/(-5). Let q(m) = -6*m**2 - 6*m**r - 3*m**2. Let i(w) = -w**2. What is i(q(b))?\nAnswer: -225*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104 = 26*f + 8 - 164. Let l be -1 + 0 + 0\/2. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -2 + (sqrt(567) + sqrt(567)*1)**2 + -2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 36601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2290 and 910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * -0.1471023.\nAnswer: -0.5884092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (-4)\/(-1) + 377\/(-117)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/10 - (-4 + 54\/15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -28962*b**4 + 4046*b**2 - 274692846*b?\nAnswer: -347544*b**2 + 8092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 117 = 6*g + 27. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 62, 63, 64?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -122, -120, -118, -116?\n\"Answer: 2*a - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00354878379 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 + 32*r**2 - r + 8. Determine h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -335533, -335329, -335125, -334921?\n\"Answer: 204*g - 335737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 794, 923, 1052, 1181?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8 (base 12) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 2*j**2 + 6*j + 7. Let q = 1 - -6. Let o be 14\/(-3) + q\/(-21). What is the tens digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 221427, 442850, 664273, 885696, 1107119?\nAnswer: 1328542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2282*h - 34330. Calculate v(-15).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**1\/n*n)\/(n\/(n*n**4)))\/(n*n**(-3)\/n*n\/n**3) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 209 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 976870678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -9 - 4?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-5)*g)\/(g\/(g**11*g)))**(4\/21) assuming g is positive.\nAnswer: g**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 5*t - 55. What is l(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2\/6)\/(2\/54). Let a(v) = 4*v**2 + 8*v - 17. Let l(s) = s**2 - s - 1. Let m(j) = a(j) - 5*l(j). Does 12 divide m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 21 = 2*n - g, 5*g + 17 = 3*n. Suppose 8 = 4*y - n*m - 0*m, 0 = -3*y + 4*m + 4. Suppose 2 - y = -2*z. Sort z, 4, -3.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000000111111001111 + 11011?\nAnswer: 1000000111111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (d + 0 + 0)*(-2*d - 3*d + 2*d) - 349766 + 349766 + 1810*d**2.\nAnswer: 1807*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -2*k**4 - 7660*k**3 + 4130914*k**2 + 12461628*k = 0.\nAnswer: -4309, -3, 0, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 5, a: 2}. What is prob of picking 1 v and 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 3*p**2 + 5*p - 6. Let a(z) be the second derivative of z**4\/3 + z**3 - 3*z**2 + 1631*z. Give 6*a(n) - 7*l(n).\nAnswer: 3*n**2 + n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6611598 nanoseconds to weeks.\nAnswer: 0.0000000000000010931875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 99 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*n + 18. Suppose 4*u + 6*c - 5 = 3*c, 0 = n*u - 2*c - 12. What is the second derivative of -15*v**2 - 5*v**2 + 7*v + u*v**2 wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12988 = -8*d - 5*z, -582*z = 2*d - 585*z - 3264. Calculate the remainder when 1655 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 266 + -263. What is the second biggest value in 0.1, 3\/7, w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -342, -334, -322, -306, -286, -262?\n\"Answer: 2*r**2 + 2*r - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 2*n = 16, -3*o - 2*n - 5 = -8*o. What is the units digit of (-5 - -10) + 465 - (o - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15348, 13637, 11930, 10227, 8528, 6833?\nAnswer: 5142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes before 4:30 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.04322 - 4.79469.\nAnswer: -4.83791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 7543 - -7868?\nAnswer: 16522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 326.3 - 327.4. Which is the second smallest value? (a) n (b) -0.4 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2 - 8*p + 3. Let y be q(-8). Let i be 24\/3*y\/6. Suppose 4*t + 56 = -i*a + 380, a = 3*t - 259. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**2 + x - 2. Let o be z(-3). Let r be (-1 - 1)*(-6)\/o. What is the smallest value in -3, 2, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/(sqrt(90)\/(sqrt(36)\/sqrt(4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -120 divided by 896917\nAnswer: -120\/896917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -58, -484, -1640, -3892, -7606?\nAnswer: -13148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21 + 289. What are the prime factors of f?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 18\/(-48)*(2 - 2 - 4). Determine x so that -3*x + 9\/2*x**2 - v*x**3 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -342424423 (base 5) in base 10?\nAnswer: -1529988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 119 a factor of 495238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 18256989533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.96877 and -39.6394385?\nAnswer: 37.6706685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -12\/65?\nAnswer: -12\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 112 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - -1)*(1 + (-4 - -4)). Suppose 3*p - 5*g = -g + 28, y = -5*p + 4*g + 36. Solve n + 3*n + 4 = 2*h, -2*h - p*n + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -917, 3, 4 in decreasing order.\nAnswer: 4, 3, -917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -2*m + 4. Suppose 3*y = n - 78, -4*n + 32 = -y - 5. Let p = y + 18. Let t be (-17)\/p + 12\/21. Give a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35497335?\nAnswer: 3, 5, 2366489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 13, m: 5}. What is prob of sequence ml?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 8:53 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yuuhujh. What is prob of sequence yjh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.95*0.07\nAnswer: 0.0665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 381980?\nAnswer: 2, 5, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -7722*i + 15521*i - 7761*i - 2. Let h(t) = -30*t. Determine g(h(y)).\nAnswer: -1140*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 78\/228 - (-867)\/2601*(1 + 10\/(-4))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -9*p**3 - 2*p - 4*p**3 - 9*p + 11*p**3 in the form d + u*p + v*p**3 + b*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*r**2*w**2 + 2*r**2*w + 9*r**2 + 901*r - 2*w**2 - w + 1 wrt r.\nAnswer: -12*w**2 + 4*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110101010 - -111011111?\nAnswer: -111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -16*q - 3*q + 38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -566? (a) 6\/11 (b) 5 (c) 5\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -711807 divided by 237269.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 - 948508049563.\nAnswer: -948508049562.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-7)\/(-3) - 1\/3. Suppose n*j - 1 = 5. Let z = j - -3. Solve z*i = 3*i - 3*m - 24, 2*i + 22 = -4*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 181 (c) -0.2 (d) 7782 (e) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 - 5*j - 5. Let v(s) = 5*s**3 + s - 1. Let x be v(1). Let g be a(x). Let k = 366148 + -732297\/2. What is the closest to k in -4, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 879942 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -11*i - 26. Let c(p) = -19*p - 27. Let o(a) = 60*a + 82. Let f(r) = -10*c(r) - 3*o(r). Let k(x) = 2*f(x) + 3*y(x). Differentiate k(n) wrt n.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 8991, 176, 0.\nAnswer: -2, 0, 176, 8991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 97*y + 28. Let u be b(-15). Let l = -726 - u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, -3, 3\/110, -1, 0.2, -0.98, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pcvua. What is prob of picking 2 p and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 4*u = 4, 8*f = 3*f + 5*u - 5. Suppose -4*v - 8 = f, -3*y - 25 = 4*v - 8. Let o be 1 + 1*y - 3. Let q(a) = -a**2 - 6*a. Give q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.97 - 1.87. Which is greater: 152 or a?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes before 10:45 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 38938 by 22.\nAnswer: 19469\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of 11*p**5\/10 + 13*p**4\/12 + p**3\/2 - 397*p**2. What is the second derivative of j(m) wrt m?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 AM and 4:01 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 10*i - i - 6*i + 23*i in the form p + x*i and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 1 + 2 + 3*s - 3*s + s. Determine p(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - -1 - (10 + -126). Let g be 154\/(-21) + 7 - m\/(-3). Let r(o) = -272*o + 1. Let u be r(-1). What is the greatest common divisor of g and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 12 + 4 = 0. Suppose -i = b - 93, -3*b = b - k*i - 412. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1650 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 + -1 - (-10)\/(-2). Let t be (-1*4)\/((-28)\/(-42)). What is the units digit of -3*n\/((-21)\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * -49970.\nAnswer: 24985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 12 + 2. Let a be (-9)\/(-6)*16\/(-6). Let f be (-10)\/a*8\/5. Solve s*j - f = 6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -34, -52, -70, -88, -106, -124?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r - 2*r = 20. Let v(t) = t**2 - 3*t - 13. Let m(x) = -x**2 + 4*x + 12. Let s(w) = r*v(w) + 5*m(w). List the prime factors of s(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2802478 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, c: 2, l: 4}. Give prob of picking 1 g and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000109301998 to 7 dps.\nAnswer: -0.0001093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 2*s = 7*v + 33, -v - 9 = -s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 0.0716352 months?\nAnswer: 0.00059696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 2*b + 3 + (-3*b + 0*b + 5*b)*(1 - 4 + 2) - b + 2 - 2 + 1 + 1 + b + 0*b + (-1 + 6 - 12)*(328*b - 138*b + 163*b) to the form o*b + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b. Let i(k) = -7*k + 2. Let q(v) = -35*v + 11. Let y(x) = -11*i(x) + 2*q(x). Determine h(y(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**3 + 6*t**2 - 3*t - 7. Let c = 20 - 12. Suppose -5*b = z - 7, -b - z + 0*z = 1. Suppose -b*x = f + 1 - c, 2*x = 5*f + 25. Determine h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-101)\/((-12625)\/150))\/(4\/150*3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 4) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pptptptpppp. What is prob of sequence tp?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -32, 7, 0.01, -1.7, -1\/18 in descending order.\nAnswer: 7, 0.01, -1\/18, -1, -1.7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 0 - 5 + 4 + a. Suppose 4*r - 25 = -5*q, -2*r - 5*q + 3 + 2 = 0. Calculate the lowest common multiple of j(3) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**2 + 7*n + 1. Let v be b(7). Let j(q) be the first derivative of -5*q**4\/4 + q**2\/2 + 1. Let g be j(v). Is -16\/3 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 198 a factor of 3547328004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iefwiffeoeoowfwie. What is prob of picking 1 i and 1 e?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1163, 9 in descending order.\nAnswer: 9, -2, -1163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.02 and -3598.59126.\nAnswer: -3598.57126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-1) - (-100 + (-5 - -3)). Suppose -3*g + b = 101. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002221035 to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the third derivative of s**7\/1890 - s**6\/108 + s**5\/45 + s**4\/3 + 40*s**2. Suppose y(m) = 0. What is m?\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*a = -47*a + 185 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 872 and 238?\nAnswer: 103768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -61, -55, -57, -67?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19 - 19.9. Let n = -0.609 - -0.009. Let f = n - i. Put f, -4, -2 in ascending order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 98, 2\/7, -0.2?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(324)*-3*3*-1)\/((sqrt(720)*2)\/((sqrt(10) + (sqrt(10) - 2*sqrt(10)))*-1 - sqrt(10))).\nAnswer: -27*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the first derivative of g**3 + 17*g**2\/2 + 2*g - 24. Is 22 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, t: 2, f: 2}. What is prob of sequence fft?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19758, -32444, -45130, -57816?\nAnswer: -70502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1290514957.6 rounded to the nearest ten thousand?\nAnswer: -1290510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 534615 by -87.\nAnswer: -6145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 2*r = r - 17, 37 = 5*v + 3*r. Suppose v*k + 366266 = -83734. Round k to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3717\/177)\/(28\/44).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3270901929 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/16 and (-275)\/(-340) - 4 - (-1 + -2).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (40 - -12 - 25) + -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*u**2 - 218944*u + 1313520.\nAnswer: 4*(u - 54730)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be 258\/33 - 8\/(-44). Suppose 0 = 2*q - 8, -3*q - a = -2*f + 10. Suppose -f = -0*r - r. Solve -r = 4*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 23\/(-65) + 8\/52. Let p(m) = -m**2 - 12*m - 14. Let q be p(-10). Let o = -7 + q. Which is bigger: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 64 + -194\/3. Let y = 0.3 - -0.1. Let h = 0 + 0.1. Which is the nearest to -1? (a) h (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1257 + 2302. List the prime factors of s.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22, -73, -156, -271, -418, -597, -808?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**3 + 31*b**2 - 96*b + 34. Calculate the remainder when q(25) is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1420?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/7 in -0.2, 2\/5, -12\/13, 3, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -535 - -539. Suppose 24*z - q*z = 0. Solve z = -5*r, s + 5*r = -2*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.463073*4\nAnswer: -5.852292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -496.405797+-0.4\nAnswer: -496.805797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add -449 and 16.\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*l**2 - 3189*l + 1598*l + 1593*l.\nAnswer: -35*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in 2\/17, -4, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the second derivative of -5*y**3\/3 - 34*y**2 + 18*y. Let p be l(-8). Solve 0 = -0*v + 4*v - p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/532 and 103\/1995.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -54*u**3 + 5*u**2 + 11*u - 1. Suppose -89*p = -90*p - 2, g + 3*p - 42 = 0. Calculate the remainder when d(-2) is divided by g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -3*w + 20. Suppose -w*x + 3 = 3*z, -3*z + 0*x + 3 = -2*x. Put 19, -4, 5, z in descending order.\nAnswer: 19, 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 169 is divided by ((-510)\/12)\/(1\/(-2)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 807 is divided by 79.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10161047 - -294717758\/29. Let q = 1634 - b. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 15*r - 2. Let a(g) = g - 16. Let d(l) = l - 20. Let k(q) = 5*a(q) - 4*d(q). Give p(k(w)).\nAnswer: 15*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 4*q**2. Let l(i) be the second derivative of 0*i**3 + 0*i**2 - 1\/12*i**4 - 23*i + 0. What is -6*l(k) - u(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 173*o - 193*o + 12869 - 45929 = 360*o for o.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**3 + 11*d**2 + 2*d - 27. Determine o(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 70 + 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/42 + 4\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24\/24 + 1\/(-1 + -4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3864 * 15.148.\nAnswer: -58531.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**3 + 34*p**2 - 447*p + 2440. Calculate o(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 186 + -5. Suppose 0 = -5*h + n + 24. Suppose -40 = -h*w + 37*w. What is the greatest common factor of w and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*d + 3*d - 6 - 14 + 15.\nAnswer: 5*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 581664497 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 3 = 3*a, -47*y = -51*y + a + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 544000*z**2 - 2*z + 10. Let g be n(5). Round g to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2, 5, 0.4, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 23 + 2. Let w = 16 - i. Calculate the greatest common factor of w and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -24 - -30. Solve -l = -3*l + o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, -5, -0.3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 11226029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -24 * 55243\nAnswer: -1325832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes before 11:24 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.06 - -2.66. Let i = m - 5.6. Which is bigger: 3\/10 or i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, v: 1, x: 1, w: 5}. What is prob of picking 1 v and 2 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find a such that 2\/9*a**3 + 0 + 0*a + 2\/9*a**4 - 2\/9*a**2 - 2\/9*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 16) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 143188 - 0?\nAnswer: 143188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 161.95 + -162. What is the third smallest value in 23, -2, o?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -191*a**3 - 212*a**4 + 191*a**3 + 157*a - 227*a**4 wrt a.\nAnswer: -5268*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*2*sqrt(209) + 3*(sqrt(209) + sqrt(209)*2 + sqrt(209)))\/(sqrt(77)\/(sqrt(14)\/(sqrt(2)*1) + sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, g: 1, o: 1, m: 1, e: 1}. Give prob of sequence mo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10060 and 3380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.05 (b) 0 (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = 2*d + 44. Suppose -3*g - c = -0*g - 35, -4*g + c + 42 = 0. Let w = g - d. Which is bigger: w or -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -4*c**3 + c**2 + 8*c + 8. Let f(w) = 12*w**3 - 3*w**2 - 23*w - 23. Let h(q) = -6*f(q) - 17*y(q). Let t be h(-1). Solve 2*b - 1 - t = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -43 - -46. Is (-1)\/c*(-855)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -346*j*m**3 - 53471*j*m**2 + 2*m**3 - 6*m**2 + 2562*m + 283 wrt j.\nAnswer: -346*m**3 - 53471*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 215, 426, 637, 848, 1059?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z + 7*z = 0. Suppose z = -0*i + 3*i - 6. Factor -4\/3*a**i + 2\/9*a**3 + 8\/3*a - 16\/9.\nAnswer: 2*(a - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 99884690 divided by -240686.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes after 8:39 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + i**2 + (7 - 2*i**2 - 7)*(-3 + 2 + 2) + 4*i**2 - 2*i**2 - 3*i**2 + (-4*i + i**2 + 4*i)*(2 - 4 + 6).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -2. Let r be k\/(-3*3\/(-270)). Suppose 3*n + m - 7 = -3*m, -5*m = -4*n + r. What is the remainder when 9 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (8 - (-2 + 3 + 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes after 12:02 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 116 divided by 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/9? (a) -0.1 (b) 5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is h in -2*h**2\/5 + 92*h\/5 + 94\/5 = 0?\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 72 = -13*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1080*y = 494*y - 434*y + 14820 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/6 and -35\/59826.\nAnswer: 59826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v - 1. Let i(k) = 19*k + 15. Let n be 180\/99 - 4\/(-22). Let b(t) = n*q(t) + i(t). Differentiate b(g) with respect to g.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13173 = 668*v - 24268 - 5979 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20270511.\nAnswer: 3, 17, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 10767544 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -64 - -68. Solve 0*j - v*n = -4*j + 28, 3*n + 29 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 22\/4*((-11)\/(-22) - (-5)\/22). Solve -3*n = f*r - 1, -7*r = -3*r + 4*n + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 + -26 - (-3 + 1) - (3 + 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*l**3 - 750*l**2 - 60288*l.\nAnswer: 3*l*(l - 314)*(l + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 3*q - 4. Let r be z(7). Let a = -22 + 27. Let b = a + r. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0*2*(-5)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**3 + 2*u**2 - u - 1. Let i be g(-2). Suppose 2 + 2 = -4*m. Let r be 2\/(-9) + m\/36. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 6*d + 7. Let s be t(5). Suppose x - 3 = 12. Solve a = -s*a - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 328451383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 3 = 12. Let t be ((-18)\/12)\/((-6)\/8). Solve -r*q - 4*l - 1 = -18, -3*q = l - t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-3100)\/15500)\/(2\/10)*(-1)\/(5\/(-21))\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 79*s - 78*s + 3 - 1 + (36*s - 67*s - 99*s)*(-3 + 0 + 1).\nAnswer: 261*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1599238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11032003201 + 3?\nAnswer: -11032003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 215300\/9 or 23921?\nAnswer: 23921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 1883576 by 941788.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 28\/99 and 73\/241527.\nAnswer: 724581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 702*i**3 + 29488*i**2 + 309750*i + 1764 = 0.\nAnswer: -21, -2\/351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -27365*j**3*l**3*o + 767*j**3*l**3 + j**3*l**2 - 34*j**3*o + 3*j**2*l**2*o - j*l**2*o + 27*j*l*o - j*o wrt l?\nAnswer: -164190*j**3*o + 4602*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of -5\/3*b**6 + 0*b + 0*b**2 + 0*b**4 + 8\/3*b**3 + 0*b**5 + 35. Find the third derivative of f(l) wrt l.\nAnswer: -600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 - o. Let q be a(0). Suppose p - 5*p - 2*c + 72 = q, 4*p - 5*c - 44 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -1 - 5. Calculate the remainder when (154\/(-4))\/(y\/(-4)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -456, -104, -5, -55, -4 in increasing order.\nAnswer: -456, -104, -55, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 57239 - 24?\nAnswer: 57215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -10*k**2 + 24*k + 4. Let r(a) = -7*a**2 + 17*a + 3. Let f(b) = 7*r(b) - 5*y(b). Give f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-10 - 86 - 23 - 22 + 7 - 16 + (-3 + 0 + 1)*(-2 + 1 + 0))*(46 - 50 - 2*p + 0*p) to r + b*p and give r.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m + 19. Let j be o(-11). Solve -12*v = -j*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 5 (b) -29\/104 (c) -2 (d) -4\/7 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -783, -451, -117, 219?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/4, -4, 6\/203, -0.24 in increasing order.\nAnswer: -4, -5\/4, -0.24, 6\/203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(98))**2 + 4.\nAnswer: 28*sqrt(2) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pn when two letters picked without replacement from {u: 1, s: 3, p: 2, n: 3, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 184860 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of 2*b**2 + b + 46. Let j(z) = 1. Determine -2*j(m) + l(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (60\/(-80))\/((-2)\/16). Suppose 8*b - g*b = -3*c + 31, -5*c + 3*b + 77 = 0. What is the remainder when 88 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.37 + 0.3708. What is f rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qvninv. What is prob of sequence in?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x**2 - 2 - x**3 + 0 + x**2 + 8*x. Let v be (-1)\/2 - (-13)\/2. Let p be a(v). Round p to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 168 + 1. Suppose -5*z + 2*o = -3*o - 185, 3*o = -5*z + h. Solve -5*x - 3*v = z, 3*v = -x - v - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 14 = -5*x - 7, x - 19 = 5*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 45 = 5*i, 0 = 102*i - 99*i - 2*c + 7*c + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*((-42)\/(-9) - 40\/64*8). Sort 4, -2\/5, 5, d.\nAnswer: -2\/5, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 + -20. Let c = 2 - h. Calculate the least common multiple of 24 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 86311509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 763 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1598591910 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -12, -161 = -5*c + n - 2*n. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -12*w. Suppose -3*s + 4*c + 929 = 0, w*c + 8 = -4*c. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = 2*j + 18, -3*b - 1622 = 5*b + 343*j - 290 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 106 - 65. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 10:05 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 103561804 to the power of 1\/2, to the nearest integer?\nAnswer: 10177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 47 (b) -1\/3 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -41 + -5 + -3 - (4 - 5 - -4 - -1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -27, 27, 20, 2 in ascending order.\nAnswer: -27, 2, 20, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/492*8016\/3340?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/12 + (-22)\/(-2) + 45577\/(-2298)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -s + 5*u, 4*s - u = 2*s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9)\/(-15) + 413\/245 - 2. Let k = 3521\/23 + -153. What is the biggest value in p, k, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -126 + 89 - (4 + -32) - (-3 + 56)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2\/3 - 2*q - 20\/3.\nAnswer: 2*(q - 5)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 15*o**3 + 2*o**2 - 4*o + 3. Let z be w(1). Suppose 316 + 2004 = z*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 18\/(-1)*(-5)\/((-20)\/(-44)). What is the greatest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -13*x**2 + 11*x + 11. Let m(w) = -w**2 + w + 1. Let n = 108 - 130. Give n*m(t) + 2*c(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - ((-5)\/30*-6 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 78616 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - ((-8 - -1) + 12 + -5 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10301 + -1534868\/149. Are -1 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + (0 + -8 - (-6 + 0 - -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 92223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 11030 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1825956 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o = 12*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 658 - 432. Let m = u - 147. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 4 = -n, 3*b - 9 = -n - 4. Let r = -1 - -0.5. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9 + -1 + (-2 - 3). Calculate the greatest common divisor of g and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1923278775 a multiple of 3525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -223, -442, -661, -880, -1099, -1318?\n\"Answer: -219*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 90 = -5*z, -3*z - z + 180 = -4*j. Is 5 a factor of (-8)\/(-12)*j\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*g**2 - g**2 + 0*g**2 + g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = 3*x + 2*x, r = -2*x + 2*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 13056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 359*n**3 + 194*n**3 + 360*n**3.\nAnswer: 913*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q + 7. Let g be a(-7). Let t be g*((-7)\/2 + 4). Suppose -2*s - s = t. Solve 4*k + 12 = -s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, v: 4, q: 1, y: 3}. What is prob of picking 1 q and 3 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 571557462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13 or -4720\/389?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -13 (b) -1323 (c) -372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 115 and 1104.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -109.93 - -109.03. Is -56 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/5? (a) -7493 (b) 4 (c) 0.7 (d) 3\/4 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h - 1. Let y(d) = 15*d - 8. Let x(n) = m(n) + y(n). What is the remainder when x(7) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 58188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 708 minutes after 1:00 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 7279455, 14558910, 21838365, 29117820?\n\"Answer: 7279455*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Calculate 22\/(-8)*(-1664)\/1196*-23.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -143 divided by -713\nAnswer: 143\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -145\/798 - -2\/133. Let g = -4.4 + 1.4. What is the third smallest value in g, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - (12 - 6)) + -1 + (66 - 9)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 3*g = -1, -3*m - 14 = -5*m - 3*g. Suppose -3*t + 50 + m = 0. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/3)\/(16\/(-176)*11)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (-20 + (8 - -4) - (1 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62620 is divided by 362.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 319.98 + -320. Which is the nearest to -2? (a) -1 (b) w (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-9)\/6*210\/(-9). Suppose 5*o = 5*v - 55, r = v + o + 4*o. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 731832.\nAnswer: 2, 3, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/(-6) - ((-220)\/(-30) - 18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.13 times 1814?\nAnswer: 235.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6016 + 6053. Let l = -13 + 23. Let b be w\/7 - l\/35. Solve b = 3*q - 1, 4*d = 4*q - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 185636947 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20168622?\nAnswer: 2, 3, 139, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*x - 32*x - x - 10*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -537309, -1074319, -1611329, -2148339, -2685349, -3222359?\n\"Answer: -537010*c - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of -1\/132*h**4 + 0*h + 0 - 1\/110*h**5 - 7*h**2 + 0*h**3. Find i, given that a(i) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84)*3 - sqrt(84)))))*-3 + sqrt(84)*-1*6)\/(2*4*(sqrt(12) + sqrt(120)\/sqrt(40))).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w**2. Let x(q) = -7*q + q - 11 - 4301*q**2 + 4305*q**2. Let h(r) = -3*r**2 + 5*r + 12. Let y(a) = -6*h(a) - 5*x(a). What is y(g(f))?\nAnswer: -8*f**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 13*x**2 + 1. Let j(h) = h. Calculate j(p(t)).\nAnswer: 13*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**3 - f**2 + 2*f - 3. Let w be r(0). Let n be (-5 - w)*(-4 + 3). Let l(c) = -2*c + 3. Let s(k) = k**2 + k - 1. Give n*s(t) + l(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of g**3\/3 - 3*g**2\/2 + 3*g + 46. Let a be s(3). Sort 2, -4, -5, a in descending order.\nAnswer: a, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 + -2. What is the second derivative of -4*z - 4*z**p + 5*z**3 + 4*z**2 wrt z?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 8*b**3 + 2. Suppose 5*q = -a - 0*a - 8, -3*a + q = -8. Let w be g(a). Suppose z - 3*r = w, 4*z - r - 341 + 77 = 0. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x + 5*o + 136 - 26, 490 = 4*x + 5*o. Let y = x - 35. Let l = y + 27. 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: What is 72956 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 1107, 3, 21104 in ascending order.\nAnswer: 3, 1107, 21104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (0 - 15) - (12 + -37 + 32)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-176)\/286*1\/2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/(-4)*(-14)\/21. Let m be (-1 + 2)\/(x\/150). Calculate the greatest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.5072+0.7\nAnswer: -2.8072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0863266 - 90.9171234. Let j = k - -91. What is j rounded to four dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiiiiiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 606.0036ml in litres?\nAnswer: 0.6060036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*k**5*k*k**(1\/5)*k**2\/k**(-2\/3)*(k**1*k*k)**(-30)*((k*k**(1\/2)\/k*k*k*k)\/k)\/(k*k**(-3)) assuming k is positive.\nAnswer: k**(-2269\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 4*g**3 - 29*g**2 - 191*g + 505. Give z(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/v**(-7))\/(v*v**2\/v))**16)**29 assuming v is positive.\nAnswer: v**2784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000651893 to 6 dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**2\/5 + 603*y\/5 + 606\/5.\nAnswer: -3*(y - 202)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-4 - -43) + -29 + -56\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 2 + 8. Solve -u + 4 = y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1950 = -847*o + 10979 + 9766 + 1533 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/2477 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7480 + -7455. Solve -34*j - 36 = -d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 - 35*x**2 + 687*x - 126. What is l(15)?\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -39*f - 37. List the prime factors of d(-27).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -23 - 2. Let t = u - 2. Find n, given that -15*n**t - 14*n**3 - 22*n**2 + 5*n**3 - 4*n = 0.\nAnswer: -2\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 831883, 831956, 832067, 832210, 832379?\n\"Answer: -g**3 + 25*g**2 + 5*g + 831854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/12*0\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*c + 36 = 2*c. Suppose 2*u - 4*u + 10 = -2*x, -c*u = 5*x + 1. Calculate the lowest common multiple of 6 and (x - (1 - 4)) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -303*d - 35 = -299*d + 89 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -29227 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10806 + 1197. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2322, 37, 2, -5 in ascending order.\nAnswer: -5, 2, 37, 2322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v**2 + 4. Let a be f(-4). Suppose 3*h - 3 = 5*l + 23, 3*l = -12. Is (-9)\/(3*h\/a) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 3*d + 42 - 6, d = 4*k - 36. Let c(a) = 1 - 27*a - 25*a + 53*a. Let o be c(1). What is the greatest common divisor of k and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + 5. Suppose -t = 3*g - 17, -3*g - 5*t = -g - 7. Suppose -g + r = u. Solve 0 = -z - u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d + 256. Determine c(0).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - a - 4*n = -34, a = 4*n - 10. Let f = a - -3. Which is smaller: f or -5\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -55? (a) -1\/4 (b) -176\/17 (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-1 - sqrt(2736)*1)*1.\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1\/728 + 2923\/8008. Put c, -5, 2\/7, 0 in increasing order.\nAnswer: -5, 0, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-42*x**2 - 159*x + 159*x)*(-3*x - 144 + x + 31).\nAnswer: 84*x**3 + 4746*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(-1*sqrt(90) - (sqrt(10) + -3*sqrt(30)\/sqrt(3) + sqrt(10))))\/(2*sqrt(125) + sqrt(5) + sqrt(45)\/(sqrt(27)\/sqrt(3))))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.2 + -0.7. Let l be ((-732)\/(-40) - 5) + 3\/2. Let d = l + -15. Sort 1\/3, d, w.\nAnswer: w, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-9)\/27 - (-364)\/3. What is the highest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -473, -457, -441?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -p, 0 = -x + 3*p - 0*p + 17. Let v(g) = -3196*g**x + 4 + 8 + 3197*g**2 + g**3. Suppose 0 = b + 4*b. Determine v(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3.7 * 123376\nAnswer: 456491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7076.075 - 7075. Is -3\/2 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 773*t**2 + t - 2015?\nAnswer: 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of -3*r**2 + 0*r + 0 + 0*r**7 - 1\/56*r**8 + 0*r**6 + 0*r**3 - 1\/12*r**5 + 0*r**4. What is the third derivative of m(y) wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 + 6*v**2 - 3*v - 6. Let d be f(5). Suppose -d = 2*w - 28. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3114 - 15387 = 3*y. Let i = 61743\/10 + y. Calculate the common denominator of i and -67\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 times 4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -15 minus 89985550?\nAnswer: -89985565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.5 - 0.5. Let b = q + 4.8. Let n = 0.3 - 0.4. Which is smaller: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3744.13 days in milliseconds?\nAnswer: 323492832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -38*t + 94. Let k be g(-6). Suppose -k - 488 = -6*h. Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, -4, -47, 6, -21 in descending order.\nAnswer: 6, 2, -3, -4, -21, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4236 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be 34 + (0 + 1)*(-6 + 5). Let u = f - 4. Solve -h = -5*k + u, -4*h = -3*h + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**34*r**(1\/2)\/r)\/(r**(-2\/107)*r)**(1\/3) assuming r is positive.\nAnswer: r**(7313\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78218 is divided by 78087.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(2\/5)\/t*t*t)\/t)**6*t**(-2)\/(t\/(t\/t**(-3\/4))) assuming t is positive.\nAnswer: t**(143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 803655.\nAnswer: 3, 5, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.41800786 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -14449 rounded to the nearest 100?\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2\/1918521 and 70\/99?\nAnswer: 1918521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 + -125?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 35\/120039 and -50\/9883211.\nAnswer: 29649633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5594.6 + -5202.71. Let m = l + -400. Let t = m + 8. Round t to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 324*l - 3848. Calculate j(8).\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -182 - -440. What is the remainder when k is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d**4 - 2 + 2)*(0 + 1 - 3) + 2*d**4 - 3*d + 4*d + d.\nAnswer: -4*d**4 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -36360318, -145441273, -327242868, -581765103, -909007978?\nAnswer: -1308971493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of k**3\/3 - k - 3. Let a(t) = 2*t**2 + 1. Let m(p) = a(p) + i(p). Let o(y) = 15*y**2. Calculate m(o(n)).\nAnswer: 675*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2784 + 4159. Suppose -c - 4*c = -b. Calculate the greatest common factor of c and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 3*b**4 - 1 + (-2 + 0 + 3)*(50*b**4 + 133*b**4 + 186*b**4) to u*b**4 + a*b + r + v*b**3 + m*b**2 and give u.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11 - -24. Suppose b = 3*m + 2*p + 3*p, -3*m + 3*p + 45 = 0. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1511 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from okoooookookooookoko. Give prob of picking 1 k and 1 o.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Do 194\/17 and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 + 76\/228*(1 + 5). Let l(c) be the second derivative of -21\/160*c**y - 3\/2*c**2 + 11\/8*c**3 + 23\/32*c**4 - 12*c + 0. Let l(q) = 0. What is q?\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132 + 394\/3*f + 2\/3*f**2 = 0. Calculate f.\nAnswer: -198, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*n - 13*n - 252. Does n = -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75866345.\nAnswer: 5, 73, 347, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 + -4. Suppose 0 = -d - m*d + 80. Let y(a) = -a**3 - 5*a**2 + 7*a - 44. Let i be y(-7). Solve -i = -5*v - d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zshhhsss. What is prob of sequence sss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -61 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 50850, 50836, 50804, 50748, 50662, 50540?\nAnswer: 50376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 + 3.6. Let o = -26 - -79\/3. What is the second biggest value in -5, j, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -199*j + 198*j = 0. Suppose -3*v - 15 = 5*s, -s + 3*v = -j*s - 15. Solve s = -0*o + 2*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2 + 10*w + 15. Let j be b(-8). Is j less than -16\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1215 and 6690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -121317 times -95.7\nAnswer: 11610036.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*i + 14 + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9020 + -9019. What is the third biggest value in -8, 3, -2, j, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38 + 47. Let o(y) = -y**2 + 8*y + 2. Suppose -8 - 6 = -2*t. Let x be o(t). Is x < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes before 9:50 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 134029 or 132663?\nAnswer: 134029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3365 - -3279. List the prime factors of o.\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - 1. Let l be -1 - 1 - (0 - 2). Suppose l = 2*w + 2 - 6. Solve -4*c - 3 - 5 = -v, -w*v + c + 2 = h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(-3 + 1 - (-6)\/(-86)). Let j = y - 3\/178. Suppose -2*z = -3 - 3. Sort z, 0.6, j in descending order.\nAnswer: z, 0.6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 73 by 5.\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 0.8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 43677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 174 - y**2 + 3*y**2 + 144 to a*y + c*y**2 + p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.9 - -3.8999999. Round y to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7.02 - 0.02. Let g = h + -7.1. Put 0, -1\/3, g in decreasing order.\nAnswer: 0, g, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1108\/2770*1\/((-6)\/75)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(176)*-3)**2 + -5 + sqrt(176) + 4*sqrt(176)*-1 + sqrt(176).\nAnswer: -8*sqrt(11) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1 minus -68502038936025?\nAnswer: 68502038936026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(3) - sqrt(75)) - (1 + sqrt(3) + 5)**2.\nAnswer: -40 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, v: 1, n: 8, b: 4, a: 1}. What is prob of picking 1 a, 1 n, and 1 v?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.276558 and 35.\nAnswer: 9.67953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 167 a factor of 6134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 - -2. Find the third derivative of -i*h**2 - 13*h**2 - 10*h**6 + 4*h**2 wrt h.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than 2\/24270563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 44122057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1106, -4431, -9966, -17705, -27642, -39771, -54086, -70581?\n\"Answer: r**3 - 1111*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05114431 rounded to four decimal places?\nAnswer: -0.0511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -322*m - 333*m + 708*m.\nAnswer: 53*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5)\/(-1) - (-3 - -9). Let i(n) = 48*n - 9. Let q(w) = 2. Let y(s) = r*i(s) - q(s). What are the prime factors of y(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l**(-4\/5)*l))\/l*l**(-1\/12)*l)\/(l\/((l\/(l**6*l))\/l*l))**(-13\/6))**32 assuming l is positive.\nAnswer: l**(7624\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 21 + -9 - 9 - (1 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 219 a factor of 26499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -774 or -742?\nAnswer: -774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-429)\/216 - (-41)\/82 and -85\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b. Let f(z) = z. Let i(v) = 6*f(v) + 7*j(v). Determine i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7a6 + 1?\nAnswer: 7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 205615513 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 - 52 = 4*c + 4*g, -c + 5*g = 27. Let t = 20 - c. Let f = -7 + t. What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {n: 7, p: 2, s: 3}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3456)*4)\/(sqrt(800)*-2 - sqrt(800)).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-1\/6)*k**(1\/2)*k*k*(k*k\/(k*k*k**2)*k)**(1\/7))**46)**(-11) assuming k is positive.\nAnswer: k**(-23276\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 429.3 - 431.3. Which is the fifth biggest value? (a) -0.3 (b) 3\/2 (c) -2\/3 (d) s (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 36499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1, -1\/12, -2, 6, -10, -2\/3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((3*(1*sqrt(130) + sqrt(130)))\/sqrt(10) - (sqrt(13) + (sqrt(78) - sqrt(78)*-2)\/sqrt(6))*-2).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 72971573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 3, 68 in descending order.\nAnswer: 68, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 205*n**3*r**3 + 42233*n**3*r + 9*n**3 + 190*n**2 - 1924*n wrt r.\nAnswer: 615*n**3*r**2 + 42233*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*z + 2*z. Suppose 0 = -h + z - 1. Solve -h*l - 25 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2137 + 2?\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be 52 + 2*(-1 - -2). Suppose 4*l - 5*s - 18 = 3*l, -3*l + 4*s + i = 0. Suppose 3*j + 9 = 0, -l = -3*r - 3*j - 6. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 - 4*o**2 + 4*o - 3. Let p be f(-5). Suppose -11 = -p*r + 1. What is the remainder when 17 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1210 (base 3) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of 5*c**4\/6 + c**3 + 3*c**2 - 2285*c. Let g(j) = 3*j**2 + 2*j + 2. Give 7*g(q) - 2*i(q).\nAnswer: q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-30)\/(-6) - (-870)\/5)\/1 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -36 (b) -0.1 (c) 36345 (d) 2\/9 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -111, -435, -973, -1725, -2691?\nAnswer: -3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 3428.1 tonnes?\nAnswer: 3428100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 42256*w**2 + 3. Is u(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -121934*d**5 + 5*d**3*g**2 - 33*d**2*g - 708698*d*g**2 wrt d.\nAnswer: -7316040*d**2 + 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1727, -2, 5712.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d**15\/d)\/d)\/d*d\/d**(-15))\/(d*d**(2\/39)*d*d**(-3)))**(-3\/7) assuming d is positive.\nAnswer: d**(-1129\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2695\/3 or -2?\nAnswer: 2695\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 3*h = -b - 5, -b - 4*h - 8 = 0. Let o be b\/(-10) - (-35)\/25. Which is bigger: -2\/33 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in sixty-eight thirds of a hour?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 4:41 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 + -1307020?\nAnswer: -1307021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -34232021 (base 5) in base 7?\nAnswer: -2410655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 10 - 240. Calculate the remainder when h is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 52*j + 1079. Give n(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42)\/(-7)*1*(-2)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 6*n**3 - 9*n - 9. Let h(p) = -p**3 + 6*p**2 - 13*p + 18. Let b be h(4). Let l(m) = -m**3 + m + 1. Determine b*o(s) - 18*l(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.363768488 to four dps.\nAnswer: -0.3638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = 3*t - 4*y, -9*t + 4*t = y. Let l(d) = d**2 + d - 1. Let o be l(t). Let a(s) = -s + 5. Let u be a(5). Solve u = -5*v - 24 - o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23617*s = 23647*s - 8160. Suppose 3*v + 532 = -3*r + 7*r, -2*v - 332 = 3*r. Let w = v + s. Calculate the greatest common factor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = 2*t + 20, -186*p + 5*t = -181*p - 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 526 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, -2, -1, -0.2.\nAnswer: -2, -1, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -466 * 0.37.\nAnswer: -172.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -170*l + 166*l + 5*i + 372, -2*l + 208 = 3*i. Calculate the remainder when 159 is divided by l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 577 and 8547101?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -20303 - 1000222?\nAnswer: -1021030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**2\/5 - 116220*b - 5627953500.\nAnswer: -3*(b + 96850)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-2\/19))\/g)\/((g**(2\/19)\/g)\/g)*(g**(1\/7)*g)**(1\/21) assuming g is positive.\nAnswer: g**(302\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2812.1 + 2932. Let l = x - 120. Which is the nearest to l? (a) 5 (b) -1 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, f: 4, o: 1, u: 7, e: 2, w: 1}. Give prob of picking 1 d and 1 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 86172, 172346, 258520, 344694, 430868, 517042?\nAnswer: 603216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -y**4\/8 + 116*y**3 - 143685*y**2\/4 + 3723759*y - 29503629\/8 = 0.\nAnswer: 1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*d - 21*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1174986.2 rounded to the nearest 10000?\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i + 5. Suppose 1 = -5*h + 21, h = 5*o + 19. Let p be g(o). Solve 2 = p*n - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -95*r + 46*r + 13*r**2 + 50*r to the form j*r + c*r**2 + b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0, -3, -41 in descending order.\nAnswer: 0, -3, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 15, 1\/162, 4?\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u - 4*v + 19, -2*v - 43 = -0*u - 5*u. Suppose -u*s + 72 = -3*s. What is the highest common divisor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*x**2 - 5*x**2 - 17*x**2 - 3*x**2 + 2 - 2 + (-x - x + 0*x)*(-x + 0*x + 0*x).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 670547325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1206 + 309 - 351 = -104*v. What is the smallest common multiple of v and 4053?\nAnswer: 16212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2342*z = -2344*z + 24 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13321587?\nAnswer: 3, 4440529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -s**3 + 5*s**3 - 5*s**3 + 2*s**3 + s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/x**(-9))\/x*x**(-5)\/x)\/(x**(1\/5)*x)**(-32))\/(((x*x*x\/(x*x\/x**(-8)))\/x**(-3))\/((x*x**(-1\/4)*x*x)\/x)**(-1\/12)) assuming x is positive.\nAnswer: x**(10861\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.08 + 4. Let p = 0.022 - -0.058. Let g = p + k. What is the nearest to g in 1\/4, 3\/5, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**3 + 11*t**2 - 14*t + 13. Let w be i(9). Let a = w + -35. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11540 divided by 2308?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 21 - 2?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 PM and 1:02 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (15*t - 15*t + 4*t**2)*(15 - 5 - 28)*(3 + 1 + 4)*(7 - 3 - 3) as s*t**2 + c + b*t and give s.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 23461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 980*j = 3*i + 979*j - 51, 0 = 5*i + 2*j - 85. Solve 5*z + 21 = n, -8*n = -11*n - 5*z - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 81\/7 - 1\/7*v**3 + 9\/7*v - 9\/7*v**2.\nAnswer: -(v - 3)*(v + 3)*(v + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 1 = -3*i + 3*l, 4*i = -l + 9. Solve 5 - 1 = -i*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-8) + (-27)\/(-12). What are the prime factors of (h\/(-2))\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 794 = -14*s + 16*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -408564408 divided by 70637.\nAnswer: -5784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -2*q**2 - 5*q - 2. Suppose -3*k - 6*z - 5 = -11*z, 3*k + 4 = 4*z. Give l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 172110 rounded to the nearest 1000?\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 31 + -22. Solve 15 = 2*j + k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 3*s + 3. Let k(g) = -3 - 11*g + 3 + 13*g. Give c(k(m)).\nAnswer: 6*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 197006.4 centimeters in nanometers?\nAnswer: 1970064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11839245*h**3 + 11826576*h**3 - 23665820*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.2241 or -76.29?\nAnswer: 0.2241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t**4 + 7 - 2 - 6*t + 5*t**4 + 19*t**3 + 4 - 4 as l + v*t + c*t**4 + w*t**3 + k*t**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -338 - -342. Suppose t*y - 6*k = -2*k + 32, -14 = -y + 3*k. Solve x + 3 = -5*p, -2*x + 1 = -y*p - 4*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a**2 - 53*a**5 - 1326 + 1326 + (-a**4 + 2 - 1 - 3)*(0 - 3*a + 0).\nAnswer: -50*a**5 + 2*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 3*f**3 + 36*f**2 + 7*f - 180. Calculate the remainder when 18653 is divided by y(-11).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o - 8. Let l = -54 - -14. Let f be 3*l\/(-18) + (-3)\/(-9). What is p(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z - 8. Let d be a(14). Suppose -d*p - 88 = -7*p. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 83560 = 4*y, 68*o - 3*y - 208991 = 63*o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*l - 114*l + 25*l + 54*l + 12*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*p - 5*v = 3*p + 135, 16*v - 43*v + 112 = 5*p - 151 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4038, -8210, -12382, -16554, -20726, -24898?\nAnswer: -29070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*c**3*w**2 + 2*c**3 + c**2 + 10*w**2 - 42*w wrt w.\nAnswer: 4*c**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 15) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1020097.\nAnswer: 13, 131, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -62.\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 138 + -131. Solve 0 = 4*q + h + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3269 + -2129. Let d = 7 + -7. Suppose 3*y - y - t = d. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22571 = 15*x - 32852 - 15437. Does 161 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -120024, -120356, -120688, -121020, -121352, -121684?\nAnswer: -122016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3612 - 36173\/10. Suppose 4*y - 104 = -4*l, 6*l - 9*l - 42 = -y. What is the common denominator of y and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-54)\/(-36) + 9\/6. Let n = 21 - -12. What is the highest common factor of r and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -103, 4, 2\/9.\nAnswer: -103, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17, 4, -15, -40, -71, -108, -151?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2, -186 in decreasing order.\nAnswer: 2, 1, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 7.399361ug?\nAnswer: 0.000000007399361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 8*t - 13 = -4*i, -i + 7 = -5*t. Suppose -5*r = -2*n + 42, i*n - 3 = -3*r + 7. Let -d**2 - n*d**2 - 3*d + 15*d**2 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n**2 - 864*n - 2. Let u(c) = 2*c. Calculate j(u(b)).\nAnswer: -8*b**2 - 1728*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 486606774.\nAnswer: 2, 3, 81101129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**1\/f)**(-23\/4)\/(((((f**(-2\/3)*f)\/f)\/f)\/f)\/f*f\/f**(-1\/3)*f) assuming f is positive.\nAnswer: f**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 314 + -124. Let q be 22\/(-24)*-10 + 31\/(-186). Let k be (76\/q)\/(8\/36*1). What is the greatest common divisor of c and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 6*r - 55 = 11*r, g + 13 = -r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 95139353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3280 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-a + a - 2*a)*(-497 + 497 - 4*a) - 4*a**2 - 3*a**2 + 5*a**2)*((-a - a + 0*a)*(3 + 0 - 5) + 2*a + 3*a - 3*a) to s*a**2 + m + w*a**3 + r*a and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 - (-11 + (-24 - 17))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 109539\/136905 + 7\/(245\/(-28)). Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -329 and 3.\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 260 + 20*t**3 - 260.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8511837 (base 9) in base 12?\nAnswer: 1637a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the third derivative of l**7\/280 - l**6\/32 - 3*l**5\/20 + 5*l**4\/2 - 8*l**3 + l**2 - 67*l. Factor m(b).\nAnswer: 3*(b - 4)**2*(b - 1)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 469430516 to the power of 1\/3, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.5 - 3. Let c = -58 + 63. What is the second smallest value in u, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -101*g**3 - 93*g**3 - 17*g**2 + 243*g**3 + 16*g**2 + g**2 - 77*g**3.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -154, -181, -226, -289, -370, -469, -586?\n\"Answer: -9*b**2 - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 6 = -f, -3*o - 3*f = 0. Let d = o + 5. Suppose -4*u = -d*u - 76. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -220f (base 16) in base 7?\nAnswer: -34264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3*-1 + (-2373)\/(-784). Let c = s - 591\/112. Calculate the common denominator of -53\/49 and c.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:16 AM and 5:15 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 210 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2066058\/53 or 38982?\nAnswer: 2066058\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 951.3117 minutes in microseconds?\nAnswer: 57078702000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*l - 3*l + 0*l + (1 - 4 + 1)*(2*l + 0*l + 0*l) - 29*l + 11*l + 14*l + 2*l + 1 - 1.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/(-4) + 90\/24. What is the second derivative of -71 - 2*l**3 + 8*l**2 - 61 - l - 2*l**q + 130 wrt l?\nAnswer: -24*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2443*f**3 + 13*f - 7*f - 5*f.\nAnswer: 2443*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**3 - 118*b**2 + 237*b - 290. Let g be a(-120). Let x = -27 + 12. Let f = x + 29. What is the greatest common factor of g and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 5*n - 75 = 0, l = -174*n + 170*n + 10. Let x(c) = 1 + 2*c - 3*c + 0*c + 3*c. Let i(v) = -6*v - 4. What is l*x(f) - 3*i(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 6, p: 2, j: 7}. What is prob of sequence jhj?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 0.33 (b) -1\/2 (c) -2\/13 (d) -6 (e) -4\/5 (f) -0.4 (g) 34\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 257, 728, 1413, 2312, 3425?\nAnswer: 4752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 173 a factor of 5901690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*y**2 + 3*y - 3*y + 180*y**2 + 819*y**2.\nAnswer: 1005*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -105387*w + 2422*w**2 + 52689*w + 52698*w in the form b*w**2 + j*w + i and give b.\nAnswer: 2422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1049 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 8, v: 1, e: 4}. What is prob of picking 1 v and 2 e?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 3*z + 4. Let m = 6748 - 6736. What is the lowest common multiple of z and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 14 (c) -16 (d) -44 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 465 + -470. Let v(g) = -3*g**3 - 5*g**2 + 5. Let i be (18\/(-8))\/((-2)\/(-8)). Let f(c) = 6*c**3 + 9*c**2 - 9. Determine i*v(l) + u*f(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 45*u - 138. Let c be j(-12). Let s = -5515 - -3834. Let z = c - s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001192 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 108144932327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(847) + 0 + sqrt(847))**2 + (sqrt(847) + 3)**2 + -1.\nAnswer: 66*sqrt(7) + 4243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 18 + 46)*(y**3 + 2*y**3 - 4*y**3) + (-3*y + 7*y - 3*y)*(y**2 + y - y) to the form k*y**3 + c + b*y**2 + l*y and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5 plus 150496727589?\nAnswer: 150496727594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148745 is divided by 181?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3*2\/(-18) - (-804)\/(-9). Let k = -59 - t. Let i = -23 - -38. What is the highest common factor of k and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12211 (base 4) to base 9.\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 41341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 - 4*v**2 - 3. Let n be a(-4). Let w be ((-2)\/n)\/((-2)\/6). Let d = -137404\/7 - -19627. Which is bigger: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6237, 2, 4, -1111, -3 in increasing order.\nAnswer: -6237, -1111, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**3 + 13*r**2 + 29*r + 635. Determine s(17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 4795.604 grams to tonnes.\nAnswer: 0.004795604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -10341, -10336, -10329, -10320, -10309, -10296, -10281?\n\"Answer: l**2 + 2*l - 10344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:01 AM and 12:10 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -655 - -669. Solve 8 - m = 6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -4, -3, 1\/35, 2\/5, 2.58, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(77) + sqrt(77)*1 - sqrt(77)) + -2*sqrt(77)*1)*6)\/((sqrt(5103)*-1)\/(sqrt(36)\/(sqrt(12)\/sqrt(3)))).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 4*n = -230, 3*d - 4*n = -0*d + 315. List the prime factors of d.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*(-6)\/(-180)*-4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/166034236 and 43\/32.\nAnswer: 1328273888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c - 11*c - 648516 = -26*c. Does 51 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62180*k**3 + 20725*k**3 + 20733*k**3 + 20724*k**3 - 96*k**2.\nAnswer: 2*k**3 - 96*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*5*(4 + sqrt(72)*3) + 2 + -3)**2.\nAnswer: 14760*sqrt(2) + 66481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffpfkfpfkcpv. Give prob of sequence pcv.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 44 - -14437?\nAnswer: 1447b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 15845296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 16 + 24?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 15 = -2*w. Suppose -40 = w*r + 2*r. Is 185\/4 - (-2)\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/14*4\/((-84)\/49)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1301310 and 684.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 139, -3\/4, 1 in decreasing order.\nAnswer: 139, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the first derivative of -a**6\/45 - 2*a**5\/15 - 7*a**4\/30 + 2*a**3\/45 + 8*a**2\/15 + 8*a\/15 - 79. Suppose q(d) = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 40258211 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 4*o - 14 = -6, -f = 3*o + 11. Let q(t) be the third derivative of 0*t**3 + 1\/10*t**f + 0 + 0*t - 19\/150*t**5 - 7\/300*t**6 + 11*t**2. Factor q(j).\nAnswer: -2*j*(j + 3)*(7*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*b + 3*b - b)*(-2 + 5 - 1)*(2*b**2 - b**2 + 2*b**2) + (3*b - 2*b + 0*b)*(0*b**2 - 2*b**2 + 0*b**2) + 0*b**3 - b**3 - b**3.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2997691770 a multiple of 1565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-16)*(-8)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - 2. Let b(i) = -2*i**2 + 5*i - 3. Determine b(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7947090 to the nearest integer?\nAnswer: 2819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15330 or 30657\/2?\nAnswer: 30657\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z - 18. Let r be k(20). Suppose r*u - 252 = -5*u. Calculate the greatest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 816134234 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*i + 3*i - 5*i)*(-1 - 1 + 0) + 78*i - 31*i - 12*i)*(0*i**2 - i**2 + 0*i**2).\nAnswer: -39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -91864 divided by 13.\nAnswer: -91864\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 9482622 to the nearest 10000.\nAnswer: 9480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 284 = 164*w - 44. Solve w*l + 266 = 274 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32\/(-12))\/(((-28)\/(-6))\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(1\/(22\/(-4))). Calculate the greatest common divisor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/4433 and -181\/390.\nAnswer: 132990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -362 - -1449\/4. Let s(v) be the second derivative of 5\/6*v**3 + v**2 + 0 + t*v**4 + 5*v. Factor s(q).\nAnswer: (q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - 2. Suppose r*n - 7*n = -10. Suppose -n*p + 20 = 3*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**3 - 2190559*x**2 - 1460375*x + 730187.\nAnswer: (x - 730187)*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12190, 24254, 36316, 48376, 60434, 72490, 84544?\nAnswer: 96596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1942508 or -1942519?\nAnswer: -1942508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p. Let v(a) = 17*a + 4. Let t(o) = -o**3 + 5*o**2 + 6*o - 3. Let i be t(6). Let x(m) = -16*m - 3. Let s(u) = i*v(u) - 4*x(u). Determine n(s(z)).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l**(2\/5)\/l*l)\/l)**(-1\/7))**(-7\/6)\/((l\/(l\/l**(-5)))\/l**(-5\/6)*l**(-4)*l**(2\/13)) assuming l is positive.\nAnswer: l**(3151\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -1936351 * -0.1.\nAnswer: 193635.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 95908.69 meters to millimeters.\nAnswer: 95908690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000 - 100010011?\nAnswer: -100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-14)\/(-24) + 3\/(-12). Let h = -80 - -80. What is the third biggest value in h, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 108.95 - 108.45. Let c be 1\/2 + (-399)\/1372. Let j = -2\/49 - c. What is the third biggest value in 1, j, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4*(-4)\/8*1548\/(-24). Calculate the highest common factor of r and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/1)\/((-78)\/52).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-10)*5*(-2)\/(-8). What is the second biggest value in l, 0.3, 3, -7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 - (5 + -10 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 15 = -81*m + 82*m, -5*n + 87 = -3*m. Solve 1 = z, 0 = n*x - 22*x + 5*z - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from odrdoooddboorrd. Give prob of picking 3 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 5595219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5725 and 225?\nAnswer: 51525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 584497026 a multiple of 1737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3875180.\nAnswer: 2, 5, 71, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h - 98 = -4*w, -2*h + 3*w = -100 + 175 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -87.6 + 91.6. Which is bigger: t or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -2*z**3 + 4*z**2 + 12*z + 4. Let v(m) = 3*m**2 + 11*m + 3. Let j(w) = 3*o(w) - 4*v(w). Let x(b) = 2*b**3 + 3*b. Calculate 3*j(g) + 8*x(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 153674899.\nAnswer: 7, 193, 113749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -130*s**2 - 15*s**3 + 130*s**2 + 2*s**3 - 4 + 4 + (-2 - 2*s**2 + 2)*(2*s + 1 - 1) - 47*s**3 - 5*s**3 - 9*s**3.\nAnswer: -78*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**2 - 3*w + 9. Suppose 3*s - 5*s - 8 = 0. Let f be u(s). Solve -2*n - 2*o = -0 + 8, 0 = -f*n + 4*o + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/3348 and -53\/226300?\nAnswer: 6110100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/9061 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + 2*l + 0*l)*(12 + 3 - 5 + (-2 + 3 - 3)*(3 + 2 - 4) + 1 - 1 + 2).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 5 + 11, 0 = 4*w + v - 260. Suppose 4*a = 4*n + w, a - 6*a - 2*n = -80. Suppose -2*c - 2*c = -a. Sort c, -2, 5.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -186 + 36 = -5*f. Calculate the remainder when 52 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*r + 9*r - 7 + 6*r to the form n*r + c and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 + 19*k**2 + 1766*k - 11039. Calculate v(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -44531 and 1053.\nAnswer: -46891143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**3 - 32*z**2 - 213*z - 193. Let k be o(38). Solve 207 = 73*p - k for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + -334?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/7, 4\/11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4747597 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: Find the common denominator of -89\/10964932 and -103\/44.\nAnswer: 10964932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/1 - (-73 + 13). Let s = -61 + w. Put -5, -8, s in ascending order.\nAnswer: -8, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 8:53 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, 25, -32, -5, -3229, -2 in descending order.\nAnswer: 25, 2, -2, -4, -5, -32, -3229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 6688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide (-416 + -1)\/((-10)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 5 = -5*a - m, 2*m + 4 = -4*a. Let t be (6 - 0) + (-1 - a). Let y = 6 + t. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -44*g**3 - 3*g**2 - g + 1. Let c be y(-1). Let v = -1679\/39 + c. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 4072118510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l - 9. Let s be c(8). Let u be 2761\/33 - s\/3. Suppose -41 = -5*p + u. 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 highest common factor of 303 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 0*b - 28 = 0. Let a(q) = 1 + 0 + 1 - 9*q - 4. Let o(v) be the third derivative of v**4\/3 + v**3\/3 - v**2. Calculate b*o(p) + 6*a(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2 + 14583*w - 43776.\nAnswer: 3*(w - 3)*(w + 4864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -139.1*-0.1.\nAnswer: 13.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of h*t**4 - 8*h*t**2 - 3429*h*t - 262994*t**3 wrt t.\nAnswer: 24*h*t - 1577964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 172 divided by 43\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b + 20. What is s(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from hpzxhfhhfp.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j**4 - j**5 + 2*j**4 + (-2*j + 0 + 0)*(-16*j**3 - 7*j**4 + 16*j**3).\nAnswer: 13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18447 and 22231?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) -1\/6 (b) 3046 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -74, 4.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3ba - -48a?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 280.8 - 281. What is the closest to 6\/13 in x, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 2 = 3*i + 1, 3*s - 3*i = 3. Let r(x) = -3*x**3 - 2*x**2 + 2*x - 2. Let a(p) = -p**3 - p**2. Let z(k) = -2*a(k) + r(k). Give z(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12663*b**5 + 8*b**4 + 407295*b**2 wrt b.\nAnswer: 759780*b**2 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 11:14 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37761434 is divided by 305?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbbi when four letters picked without replacement from {b: 11, i: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 5*a. Let w(g) = -g**3 + 9*g**2 + 10*g + 8. Let d be w(10). Let p be t(d). Solve 0 = 2*z + 5 - 13, -p = -4*o - 5*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 26*i + 1. Let f be w(8). Suppose 5*o - f = -119. Let x = -69 + 136. What is the remainder when x is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -3303*d**2 - 6. Let v(o) = 149*o**2. Give h(v(n)).\nAnswer: -73329903*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5, 20, 45, 80, 125, 180, 245?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4420, -8592, -12512, -16180?\n\"Answer: 126*z**2 - 4550*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1289 - 264 = -83*b - 225 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 2*t - 4, -9*x + 4*x - 30 = -4*t. Suppose -t*l = l + 150. Let f = -21 - l. Solve -24 + f = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 98, 88, 74, 56, 34?\n\"Answer: -2*h**2 - 4*h + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 351 + -328. Suppose z*x = 10*x + 4381. List the prime factors of x.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 77*u + 46. Let o be a(41). Suppose o + 874 = 9*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p + 68. Determine t(-12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 + 2486?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v - 20 + 18 + 0*v + 5*v - 4*v. Determine c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of 5\/24*s**4 - 43*s + 1\/120*s**6 + 1\/420*s**7 + 0*s**3 + s**2 + 0 - 13\/120*s**5. Suppose x(g) = 0. Calculate g.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -117\/1018390 and 49\/6.\nAnswer: 3055170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*(-5)\/(-3))\/(36\/54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 37.129 - 31.1526. What is m rounded to 1 decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 100*b - 310. Let h(m) = 7*m - 22. Let c(o) = -85*h(o) + 6*j(o). Let z be (3 - 1)*7\/(-2). Determine c(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 8912*a + 387. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*a = 3*f + 129*a + 14, 3*f + 16 = 4*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5246, -5289, -5332, -5375?\nAnswer: -5418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nfhgnnfgfhnf. What is prob of sequence gn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -19 - -6 - 3 - -12 - -11 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 106532738?\nAnswer: 2, 13, 47, 87179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -5*d + 130. Calculate the remainder when 72 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 2*u - 5 = l, 3 = 3*u. Let h be (-2)\/(-1 + 3 + -2 + l). Solve -4*o + 4*s = 8, -3*o - 3*s + h*s + 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -365, -382, -317, -128, 227?\n\"Answer: 7*k**3 - k**2 - 63*k - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1097, 2193, 3289, 4385?\n\"Answer: 1096*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.6 and 0.08332335.\nAnswer: 0.68332335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -2*p**5\/17 + 6094*p**4\/17 + 528582*p**3\/17 + 12072842*p**2\/17 + 32609924*p\/17 + 21059568\/17 = 0.\nAnswer: -41, -2, -1, 3132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2*207\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - 1*(-3 - -4). Let a be ((-50)\/4)\/5*-2. Let k = 3020 - 3007. Solve -a*j + 7 + k = i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 - 288*q + 2248. Let k be b(8). Solve 35*o - k = 33*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 42\/12095 and -37\/21279.\nAnswer: 6277305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 824306 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.01409 - 0.02591. What is the nearest to i in -0.3, 1\/2, -0.4, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*k**2 - 2*k + 38*k + k - 12*k - 11*k.\nAnswer: -11*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 9 (b) -2\/27 (c) -11\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (11 + -11)*(1 + 1 + -1). Suppose -3*s - 4*q + 341 = i, 4*q = s - 66 - 21. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-294)\/(-252)*(-2 + (-36)\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -13*(-12)\/312 + 175090\/4. Let d = 73673 - z. Round d to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = o + 89, -4*b - 140 = -5*o - 500. Find the first derivative of -49 + 0 - b - 79*q**2 + 22 wrt q.\nAnswer: -158*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 268 + -235. Let b = -368.4 - -335. Let v = b + g. What is the third biggest value in v, -1\/8, 6\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/27, 0, 0.2, -0.3, -3\/4, -1\/3 in ascending order.\nAnswer: -3\/4, -1\/3, -0.3, 0, 1\/27, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36653*o + 8917*o - 1212*o.\nAnswer: 44358*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -22, 6, 21586 in ascending order.\nAnswer: -22, 6, 21586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/7, 0, 1\/10, -2, -51, -63 in increasing order.\nAnswer: -63, -51, -2, -1\/7, 0, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.7 + 0.3. Let j = -3.1 - -1.1. Put 0.2, q, j in decreasing order.\nAnswer: q, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 44 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -7084579 + 1422\nAnswer: -7083157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 193*0.24\nAnswer: 46.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be 5\/(-10)*(-1 + 1). Suppose z = -3*g + 16 - 7. Solve -o = -0*o + 4, -l + g*o + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 482225, 482230, 482239, 482252, 482269, 482290?\nAnswer: 482315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 - 10*t**2 - 26*t - 23. Let o be p(13). Let x = o - 111. Calculate the greatest common divisor of 560 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16*s - 28*s**2 + 71492861 + 8*s**4 - 71492643 + s**2 wrt s.\nAnswer: 96*s**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.95433 less than 0.91?\nAnswer: -0.04433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 146.5894 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*q + 32*q = 15760. Calculate the highest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -8*c - 2. Let m be (-8)\/20 - (-12)\/5. Let g be n(m). Does 9 divide (-5 - -11)*g\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 739406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -16*1580769\nAnswer: -25292304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 587157134?\nAnswer: 2, 293578567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(-3) - -1)\/(150\/675)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + 802239.\nAnswer: 802220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.0313 + 5.0313. What is the third biggest value in o, 8, 27?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*g - 1844 = 1148. Let b be 34\/g*(-1 - (-2)\/(-6)). Find k, given that 0*k + 0 + 0*k**2 + b*k**4 + 1\/3*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 105 and 26803749?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -4*s**2 - 10*s + 11. Let p be b(-8). Let q be (-582)\/(-16) + p\/440. Let z = 3 - -6. What is the highest common factor of q and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 3285464*z - 29103212*z + 2 + 3817749*z. Let r be p(-2). Suppose r = -2*v - 2*v. Round v to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 5, l: 14}. Give prob of picking 2 l.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 288703*l**3 - 577829*l**3 + 289142*l**3.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30*b**4*s**3 - 1928*b**4*s - 4438*b**2 + 14*b*s**3 wrt b.\nAnswer: -720*b*s**3 - 46272*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -29734061, -29734069, -29734083, -29734103?\n\"Answer: -3*z**2 + z - 29734059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-1 + (((6*(sqrt(325) + 2) - sqrt(325)) + 2 + 1)*-1*2)**2).\nAnswer: 3000*sqrt(13) + 33399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14179\/3 + -4881. Let w = k - -156. Let q = 4.91 + 0.09. Which is the second biggest value? (a) w (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.6 - -5. What is the second smallest value in -5, y, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.5, 0, -1\/5, 0.247?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) -2.1 (c) 0.3 (d) -0.2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wiij when four letters picked without replacement from wjippiwpwvvivwpiwwvj.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 + 2 = -2*s, 0 = q - 2*s + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 54254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (14 + -3 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v - 3*u + 622, 4*v + 0*u + u - 626 = 0. Let d be -2 + v + 16\/(-4). Let c = d - 88. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 6, 4230, 14 in increasing order.\nAnswer: 4, 6, 14, 4230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**4 + 5 - 5 + (11*v**2 + 10*v**2 - 6*v**2)*(-v**2 + 4*v**2 + v**2) - v**4 + 4*v**4 + 0*v**4.\nAnswer: 65*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nee when three letters picked without replacement from {d: 2, n: 2, e: 8}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes before 8:17 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 r, 1 l, and 1 b when four letters picked without replacement from {b: 1, c: 1, l: 1, u: 2, r: 2, f: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 84 = -138. What is the remainder when m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 278310 divided by -55662?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/15*(-2)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -17.8 + 19.09. Let q = -696.87 - -701. Let z = m - q. Round z to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(2\/3)\/(a**(-1)*a))\/(a**(-2\/9)*(a**(-2)*a)\/a) assuming a is positive.\nAnswer: a**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 3\/5 = -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -o - 2. Suppose o*s - 4*x - 70 = 0, -5*s + x + 100 = 6*x. Solve -6*z + b + 20 = -z, 2*z = -3*b + s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6891270 and 34710?\nAnswer: 89586510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.4 - -0.45. Let h = v + 0.58. Round h to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 308 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 5*r = 32. Let c(x) = -x**3 + 4*x**2 - 2*x + 3. Calculate the lowest common multiple of r and c(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.7? (a) -25 (b) 4 (c) -0.4 (d) 5 (e) 1.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 65 - 69. Let g(z) = 10*z. Let l(s) = 3*s. Calculate t*g(o) + 14*l(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**6 - 14*p**3 - 82*p**2. Let o(s) = s**3 + s**2. Let l(j) = 2*b(j) + 18*o(j). What is the third derivative of l(i) wrt i?\nAnswer: -240*i**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -4*v - 41. Let x(l) = -2*l - 21. Let w(k) = -5*x(k) + 3*y(k). Let r(g) = -g**2 + 8663 - 8663. Determine w(r(t)).\nAnswer: 2*t**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2887279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -4 at least as big as -8\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 308081465?\nAnswer: 5, 2897, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -4880312, -9760630, -14640948?\n\"Answer: -4880318*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1698386, 3396722, 5095058, 6793394?\nAnswer: 8491730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7216 + -7168. Solve -36*m + 84*m - v = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**3 - a**2 + a - 2. Let w(v) = -6*v**3 - 14*v**2 + 5*v - 15. Calculate 5*l(c) - w(c).\nAnswer: c**3 + 9*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 251579.\nAnswer: 19, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -1614112 to the nearest ten thousand.\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -77, 0.2, -4\/7, -0.12 in descending order.\nAnswer: 0.2, -0.12, -4\/7, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 161 - 159. Which is the closest to 1\/4? (a) -1\/5 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 281, 263, 227, 167, 77, -49?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 0*g - 13 = g, -32 = -4*n + 5*g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 3*m**2 - 101. Let u(z) = -27*z - 22*z + 87*z - 24*z - 18*z. What is l(u(q))?\nAnswer: 48*q**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -0.4, 7\/9, 2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-190)\/(-40) + (-2 - -4) + 416\/(-52).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*l - 1 - 8*l + 11*l)*(0 + 2 + 1) - 3*l + 2*l + 3*l to n + b*l and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllmlllmmlmm. Give prob of picking 3 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 31200 and 28080?\nAnswer: 280800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 37, -8, -693 in descending order.\nAnswer: 37, -8, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 - -4.2. Let t = b - -0.80062. Round t to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 27\/6*(-1 + 17). Let j = u - 48. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 + -1c?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1318955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(2\/9))\/n)**(-21\/5)\/(n\/n**(-8\/9)*n\/n**(20\/3)) assuming n is positive.\nAnswer: n**(128\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f + 14. Let q(x) = -x. Determine -d(c) - 3*q(c).\nAnswer: c - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 0*n + 85 = 2*n, f - 5*n = -40. Let a be ((-408)\/36)\/((-2)\/f). Let x = 140 + a. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -b**3 + 56*b**2 - 2*b**3 - 60*b**2 - 52*b**2 in the form h*b**2 + o + f*b + n*b**3 and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 18 = 5*p - 7, v - p = 1. Let x(q) be the second derivative of -5\/22*q**4 - 1\/110*q**5 - 25\/11*q**v - 125\/11*q**2 + 0 + 6*q. Factor x(o).\nAnswer: -2*(o + 5)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 4*m = 0, 2 = -o - 2*m - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 2*b - 7*b - b + 3*b in the form s + o*b and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 2*b**3\/11 - 278*b**2\/11 + 9520*b\/11 + 9800\/11 = 0.\nAnswer: -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*x - 3*x + 15*x)*(-10*x - 3*x - 8*x)*(1 - 3 + 4) in the form k*x + w*x**2 + t and give w.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/(-36)*3 + (-3)\/1. Let u(a) be the second derivative of a**4\/12 - 5*a**3\/6 - 9*a**2 + 6*a. Let p be u(7). Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 60 and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8 - -19. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - 5*v**2 + 6*v + 2. Let n be u(-6). What is the least common multiple of 0 - (-1)\/(n\/28) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 30, 1, -1621, 52, -4 in descending order.\nAnswer: 52, 30, 1, -4, -1621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -481*t**3 - 2*t**2 + t + 2. Let m be w(-1). What is the smallest common multiple of 5 and (-2)\/13 - m\/(-78)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -34*f**2 + 8*f + 2. Let i(y) = -1971*y**2 + 468*y + 117. Let g(x) = 6*i(x) - 351*m(x). Let k(q) = -9*q**2. What is g(k(b))?\nAnswer: 8748*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 647646723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 490 is divided by 164?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -8*c**3 - 18*c**2 + 18*c. Let z(u) = -u**3 - u**2 + u. Calculate -2*m(r) + 36*z(r).\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 3*w + 213125. Let m(c) = c. Calculate u(m(z)).\nAnswer: 3*z + 213125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138*j + 182*j - 224*j - 4320 = 0. Solve 4*m + j = 19*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4072032, -4072029, -4072026, -4072023, -4072020?\nAnswer: -4072017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -164 + 169. Sort 67, n, -1.\nAnswer: -1, n, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6507084 to the power of 1\/2, to the nearest integer?\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4147*g = -430*g + 1385*g + 774*g - 352560 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-17)\/q*q)\/q*q**(-11))\/(q**(-4\/3)\/(q**(7\/4)*q)) assuming q is positive.\nAnswer: q**(-299\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 22774725 divided by 4554945\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 123007 - 45870. List the prime factors of i.\nAnswer: 77137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -428 = 24*f - 28*f. Suppose -f = -12*h - 131. Which is the biggest value? (a) -28 (b) 0.1 (c) h (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.90195 from -3.\nAnswer: -2.09805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 167634 is divided by 2361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6 + 15\/5 + -1. Solve 5*l = z - 20, -2*l - c = -3*z + 2*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by 2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 17.9 in 45, -287, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/10 and 89\/4562.\nAnswer: 22810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-14 + -1 - 726\/(-48)) + 201\/(-8)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*((-2)\/6)\/(24\/(-36)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 210.1 + -211. What is the second biggest value in o, -1, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 546 (base 12) to base 2\nAnswer: 1100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 5, -1220, -11\/2, -10\/13, 4\/9, 1?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4448 and 0.5?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 - g + 1. Suppose -4*m = -t - 11, 6 = -2*t - 3*m + 7*m. Suppose -3*h - t = 19. Let a(n) = -10*n**3 + 8*n - 8. Calculate h*l(o) - a(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the third derivative of n**4\/24 - n**3 - 5*n**2. What is the units digit of f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 125 + -124. Which is smaller: p or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 3*s = -l + 25, -28 = 2*l - 4*s. Let w(o) = -o**2 - 8*o + 8. What are the prime factors of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeexoeeeeweee. What is prob of picking 1 x, 1 e, and 1 o?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h - 5*h + h)*(-8 + 56 - 6) + 4*h + 0*h + 2*h.\nAnswer: -78*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1\/23560 + 94247\/164920. Determine n so that o + 0*n**2 - 6\/7*n + 2\/7*n**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -55720 divided by 55720?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/126624 and -145\/72?\nAnswer: 379872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the second derivative of 0*s**3 - 23\/10*s**6 + 0*s**5 - 1\/6*s**4 + 0 - 37*s + 14*s**2. Find the third derivative of w(x) wrt x.\nAnswer: -1656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 215 = -0*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**4 - h**2 + h**2 + (h**2 + 3 - 3)*(h**2 - 3*h**2 + 3*h**2))*(-2*h + 0*h - h).\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2\/13, 0.8, 5, -1\/12 in decreasing order.\nAnswer: 5, 4, 0.8, 2\/13, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 170 - 172. Let g(q) = -q - 3. Determine g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0.6 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -8) + -1 + 0 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*t + 39*t - 8 = 0. What is the smallest common multiple of 6 and (2 + -11)\/(1\/t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 117 = -w. What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the units digit of 7944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3451 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*l - 9853 + 3821. Is 58 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + 28 + 1 - -2. Suppose -11*p + 94 = 3*j - 7*p, -29 = -j + p. Is h smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -160322 from -18.7.\nAnswer: 160303.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 3*(sqrt(77)*-2*3)\/(sqrt(49)\/(sqrt(7)*-1))*4 + 3)**2.\nAnswer: 1152*sqrt(11) + 57088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {q: 8, p: 1, b: 1, y: 2, d: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -4*u**4 - 1015*u**3 + 507*u**3 - 2*u**2 + 536*u**3 as a*u**3 + t*u**4 + w*u + v + c*u**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 9*f - 12*f - 78 = 0, -x - 5*f - 4 = 0. What is the greatest common divisor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1530156 by -6.\nAnswer: 255026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2887*m = -18*m - 291*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -4129 at most as big as -4129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 97 or -68569?\nAnswer: -68569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4.2 - 0.2. Let m = -9 + 17\/2. Which is the closest to -1\/2? (a) -4 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.02 + 35.6\nAnswer: 35.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.24 (b) -0.3 (c) 0.3 (d) -0.06 (e) -5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (0\/4)\/(2\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 653.7774mg?\nAnswer: 653777400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 98 - 23. Suppose -94*p - d = -97*p. What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -150*p - 3. Calculate the remainder when i(-2) is divided by (-4848)\/(-168) - 9 - (-1)\/7.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -190447 or -190446?\nAnswer: -190447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 0*m = 4*m - 8, -3*z - 16 = -5*m. Suppose z*l = -l + 5*j + 669, -j = -l + 166. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + -1011101011111001000001111?\nAnswer: -1011101011111001000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(12)\/((sqrt(12)\/sqrt(3) + sqrt(4))*-5) + sqrt(33)\/((sqrt(88) + sqrt(88) + sqrt(88)*2 + sqrt(88))\/sqrt(8)).\nAnswer: sqrt(3)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**2 + 5*o + 4. Let f be l(-4). Let i be (-1)\/2*(2 + f). Is (-12 + i)*(-7)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1880*v**2 + 63*v wrt v.\nAnswer: 3760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -5, -1, 0.25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-2\/11)\/s)**3)**(32\/3) assuming s is positive.\nAnswer: s**(-416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 224146*x + 2*x**2 - 224146*x + 305 + (2 - 2 + 2*x**2)*(2 - 2 + 5).\nAnswer: 12*x**2 + 305","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 75 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put together -1678154 and 26672385.\nAnswer: 24994231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 0*d = -55. Let w(l) = 2 + 0 + 3 - 3*l + 1. Let c(x) be the third derivative of -x**4\/24 + x**3\/3 - 3*x**2. Calculate d*c(q) - 4*w(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 850000*c**2 + c - 2. Suppose i = 2*i + 9. Let k = i - -11. Let t be m(k). What is t rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 93223992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -648314491, -648314492, -648314493?\n\"Answer: -p - 648314490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w. Let c(v) be the first derivative of -3*v**2 + 2*v + 10. Let p(t) = -31*t + 11. Let z(b) = -11*c(b) + 2*p(b). Determine z(o(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-74 + 139 - 61*w**3 + 115*w**2 - 65)*(w - 3*w + 4*w).\nAnswer: -122*w**4 + 230*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2553734 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(32))**2 + 5 + (-2*(sqrt(2) + -1))**2.\nAnswer: -8*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4 + -1 + 2 - 2. What is the nearest to 0 in h, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 27 - 13. Let l(v) = v**2 + 18*v + 7. Let j be l(-6). Let z = 68 + j. What is the remainder when x is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4009507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10235 + 10572*y - 10235.\nAnswer: 10572*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -609833500 rounded to the nearest 100000?\nAnswer: -609800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 13 = 3. Suppose -50 + k = -4*p. Let t be (-525)\/6*(-8)\/p. What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l**2 + l + l**2 - 2*l**2 + 3*l**3 to the form u*l + o*l**3 + m*l**2 + p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -597253 + 1089254. Suppose 2*d - 3*u - 196797 = 0, -5*d = 3*u - 2*u - i. Round d to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of -2*x**2 + x + 1. Let r(w) = 231*w + 240*w - 3 + 236*w - 696*w. Calculate 6*r(j) + 17*v(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n. Let h(z) = 2082*z**2. Calculate o(h(v)).\nAnswer: 2082*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1653972 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (23 - (15 - -16) - (-6 + 14)) + -23\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m - 4*m + 3*m)*(3 - 3 - 2)*(0*m - 4*m + 2*m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 108*h**5 + 1682*h - 775*h - 801*h wrt h?\nAnswer: 2160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 30 + -28.7. Let s = 3.3 - a. Let m = -0.12 + -3.88. Put -5, m, s in decreasing order.\nAnswer: s, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/(sqrt(270)\/sqrt(5)) + ((sqrt(180)\/sqrt(3))\/sqrt(12))**2 + -6*(-1 + sqrt(5)).\nAnswer: -17*sqrt(5)\/3 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20786 is divided by 378.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 494774926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:38 AM and 4:33 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {x: 9, y: 11}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/3*(-5)\/(40\/(-8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 903 divided by -1\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(((q**(3\/8)\/q)\/q*q*q)\/q))\/q*q**18*q\/(q**(-16)*q*q)*q**(2\/23)*q assuming q is positive.\nAnswer: q**(6387\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 53.75 - -3.15. Let h = c + -57. What is the closest to h in 3, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:55 AM and 6:33 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12289?\nAnswer: 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 434 is divided by 78.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2922 and -2.\nAnswer: -5844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 159 divide 104944257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -3770 divided by 58?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1216) - sqrt(1216)*3)**2 + sqrt(1216) + 5.\nAnswer: 8*sqrt(19) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3*2\/12*8. Let c be ((-6)\/i - -1)\/((-11)\/66). Solve c + 7 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61072 at least as big as 61070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 9:06 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1.6 - -0.13386851\nAnswer: 1.73386851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 489 - 473. What is the remainder when 102 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 162560\/381*(-66)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -124 + 255. Let n = 4168 + -4300. Let u = n + s. What is the nearest to u in -0.3, 0.1, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15\/967 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.05 and -35.392.\nAnswer: -1.7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 108389496409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 605571 is divided by 201838?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the first derivative of 118*r**3 - 9*r**2\/2 + 15*r - 153. Let h be c(5). 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: What is the cube root of 4366895 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + -3a1604?\nAnswer: -3a1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 - -22.2. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -6, 1\/2, -4, 2\/5, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 65872661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 339572402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -236\/7*t - 144 + 130\/7*t**2 - 2\/7*t**3 = 0. What is t?\nAnswer: -2, 4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*k**5 + 850080*k**4 + 40*k**3 - 6800640*k**2 - 80*k + 13601280 = 0. What is k?\nAnswer: -2, 2, 170016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/((-896)\/120))\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3665867 (b) 1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -u = -24*i + 5, 15 = -13*u + 10*u - 4*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 26, 28, -7, -60, -21 in increasing order.\nAnswer: -60, -21, -7, -5, 26, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of c*q**3*z + 190461*c*q**3 - 52*c*q*z + 3*c*q + q**3*z + 108*q**2*z + q*z wrt q?\nAnswer: 6*c*z + 1142766*c + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (54*x - 5243 - 2*x**2 + 5243)*(3*x - 3*x + 2*x).\nAnswer: -4*x**3 + 108*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 97, 99, 101, 103, 105, 107?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*n + 446 - 1845 = -79 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of 8 - 1\/2*v**2 + 7*v. Let m(z) = z - 18. Let f be m(22). Give p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*-109.\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 39809 + -39813. Let b = -755\/7 - -108. What is the nearest to -2 in b, -3\/4, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) 0.5 (c) -11.44 (d) -4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -79*t + 32. Let u(g) = 2*g + 6. Give -q(z) + 2*u(z).\nAnswer: 83*z - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:41 PM and 9:01 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 444 = 3*t. Let v = -82 - t. Let y(r) = r**2 + 7*r - 6. Give y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (3 + -20 + 27 + 4 + -53).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**2 + 4*v**2 - 3*v**2 + (-1 + 1 - v**2)*(-5 + 6 - 4) + (-3 + 3 + 2)*(-8*v - v + 5*v)*(6*v - v + v).\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 156 (base 11) in base 13?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20 - -17. Let w be (f - (-3 - -1))*-94. Suppose -w = -j + 157. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 228529843445 minus 167?\nAnswer: 228529843278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 5*s = 34, -s - 10 = -o - 2*s. Differentiate -87*p + 17*p - 117*p + o*p - 215 + 87 wrt p.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 535 and 2830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6139*h**4*l - 11*h**4 - 1451*h**3*l + 2*h**2*l + 2032*h**2 + 9018 wrt h?\nAnswer: 147336*h*l - 264*h - 8706*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 83*z**2 - 107723*z + 117441652 wrt z?\nAnswer: 166*z - 107723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15788290 and 580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -3 - c + 3. Let g(b) = 36*b. Let w(o) = 8*o - 13. Let s(u) = -4*u + 6. Let a(h) = 13*s(h) + 6*w(h). Let x(p) = 56*a(p) + 6*g(p). What is r(x(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000011312 rounded to 7 decimal places?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0 (b) 4\/9 (c) -3\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 230951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + 3 + -3 - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-8.3\nAnswer: 4.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 2 - 1 - 21*i - 4 + 22*i. Calculate the lowest common multiple of 5 and d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*n = -8*n + 140 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 39*p + 35*p + 118*p - 42*p as z + l*p and give l.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1137 + 777. Let c = -95 - r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-12)\/15*35\/(-14). Solve -l*n + 5*m - 14 - 16 = 0, -3*n + 5*m = 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -754.1 + 754. Which is the nearest to f? (a) 2\/15 (b) 1 (c) 8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 - 2\/8*0. Suppose s + s = -2*z - 2, -t*z - 11 = -s. Let o(q) = q**2 - 2*q - 1. Is 16 a factor of o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*d = 11 + 34 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*v - 1548 = -364. Suppose 2*s = 4*s - 4. Suppose -p - b = -129, -2 - s = -4*b. What is the highest common divisor of v and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1006871 and -0.02.\nAnswer: -0.002013742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -2*f. Let h = 24 - 24. Let q = 4 + h. Let k(z) = -2*z + 0*z - q*z + 3*z. Calculate k(p(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 - 44*n**2 - 979*n + 16. Let f be d(-16). Solve -21*i = 19*i - f for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -24*u**3 + 2*u**2 + 28*u - 11. Is b(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of 17*q**6\/24 - 2*q**5\/15 + q**4\/8 - 5*q**3\/6 - 39*q**2. Is b(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of r**5 - 451*r**3 - r**2 + 2180*r wrt r.\nAnswer: 20*r**3 - 2706*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide ((-13896)\/(-126))\/(4\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w + 9. Let h be t(0). Let v be h*-1*8\/(-12). Suppose -25 + v = -q. Solve -5*g + 1 = -q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 30\/7 + (-4)\/14. Suppose 16 = 2*o + 5*w, 6 = 3*o - w + j*w. Let g = o - 0. Is -2 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*r - 45 = -16*r. What is the greatest common divisor of 60 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6502001 is divided by 17067.\nAnswer: 16541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mbc when three letters picked without replacement from {c: 1, y: 1, b: 7, g: 5, m: 5, a: 1}?\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 - 3)*(4*q + 2*q - 4*q)*(-1 - 7*q - 3 + 2).\nAnswer: -14*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 2*p - 53 = 0, 5*p - 31 - 15 = -3*s. Let n(v) = -9*v + 56. Let f be n(6). Suppose -f*j = -15 - s. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.3, 2523, 0.4, -3 in ascending order.\nAnswer: -3, -2, -0.3, 0.4, 2523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 263377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**2 + 16*b - 32. Suppose -4*n = -n - 5*w - 42, n = w + 14. Let i be u(n). Let g be i + -2 + 4 + 10\/4. Sort g, -30, 0.4, 0.2 in decreasing order.\nAnswer: g, 0.4, 0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -108533\/5 or -21706?\nAnswer: -21706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/(-285))\/(((-105)\/(-27265))\/3)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/7, -2\/57417, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 v, and 1 y when three letters picked without replacement from tyryqyyqytryvt.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (15\/12)\/((-6)\/(-144)). Calculate the greatest common factor of 48 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -18*x**2. Let i(t) = 7*t + 11. Let v be 1*(-132)\/(-8)*6\/9. Let f(n) = 4*n + 6. Let w be ((-8)\/(-4) - 3)*6. Let a(y) = v*f(y) + w*i(y). Give a(m(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6 - -536353?\nAnswer: 536362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, x: 13}. What is prob of sequence wxxx?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 60\/(-45)*(-6)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 2*r**2. Let h(s) = -46 + 690*s - 49 - 45 + 140. Calculate a(h(t)).\nAnswer: 952200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-1))\/((-174600)\/(-1940)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 32, 78, 138, 206, 276?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 870087678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g + 5*u - 306, -u + 224 = 4*g - 74. What is the remainder when 146 is divided by g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2.5 in -1638, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*v = 6783 - 6867 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1725*y - 239*y + 741*y.\nAnswer: 2227*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 25280 and 114550?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -154403*l**2 + 5 + 3 - 7 + 2.\nAnswer: -154403*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 218 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (52*o - 825*o - 1573*o)*(2 - 4 - 2*o + 4*o) as v*o + n + r*o**2 and give r.\nAnswer: -4692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9 + 20. Suppose 32 = o*s - 7*s. Let a = s + -5. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -272 plus 4584559?\nAnswer: 4584287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 80477029 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 239? (a) -0.03 (b) -2\/3 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 157 - 151. Let u(l) = 13*l**2 + 2*l**3 + 3*l**3 + t*l + 10*l**3 - 1 - 13*l**3. Give u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 5*k + 4*h, 40*h + 15 = 3*k + 43*h. What is the remainder when 383 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {k: 1, a: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1100101 (base 2) in base 12?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 69 - 66. Let o(d) = d - 6. Let t be o(-6). Suppose 6*x + 14 = -10. Put x, t, c in descending order.\nAnswer: c, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*k + 734 = 27*k + 563. Solve k*v + 9 = 0, -120*v + 118*v = -2*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 4*i = -98 + 47, 2*i = -4*b - 20 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 + s. Let u(a) = -3*a**3 + 6*a**2 + 5*a. Determine -10*c(x) + 2*u(x).\nAnswer: -6*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 1 = 1. Suppose 4*j + s*z = 6, 3*j = 2*j - 4*z + 5. Solve 4*a = j + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0, 4\/5, -98, -2\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = v - 5*v - 2*u, 7*v - u = 19. Sort 18, -2, v, -4 in ascending order.\nAnswer: -4, -2, v, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 - (-33 - -74) - -45 - 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.8 in -0.5, 296, 0.1, -236?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w + 1. Let b(v) = 2*v**2 - 3*v + 7 - 7*v - v + 3*v. Calculate b(a) - 6*f(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 207495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50 - 58 + 108 - 34*l**3 + 37*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-60))\/((-1248)\/780).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3895432226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3120 + 5938. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120 = -14*s - 8. Let h(r) = -2*r + 6. Let b be h(3). Solve n - 1 = -2*f + 4, b = 4*n + 2*f - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -2*n - 24. Let u be (n\/(-12))\/(6\/(-24)). Let x be (60\/(-14) + 4)*1. What is the closest to u in 2, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -218*p + 201*p - 204 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of -g**5\/20 + g**4\/3 - g**3\/6 - g**2 + 4*g. Let a be n(3). Suppose -a = -3*j + 8. Let d(x) = -x**2 + 4*x - 6. Give d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 50 + -25. What is the units digit of 10\/(j\/5) - -58?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 50174*h*k**4 + 38*h*k - 52*k wrt k?\nAnswer: 602088*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 179170 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(-2 + 3 + -2) + (-6 - -9). What is the nearest to 1 in -0.2, -1066, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*h**2 + 11*h**3 + 7*h**3 + 4*h**2.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 111360\/7968 - (-7 + (3 - -18))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -157*f**2 + 1099*f + 7. Determine n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -71*a - 352. Let f be i(-5). Let u(c) be the first derivative of -2\/3*c**f + 0*c**2 + 0*c + 6. Let j(k) = -2*k. Give u(j(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 202012020 (base 5) to base 10\nAnswer: 813385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -687*s + 683*s - 12 = 0, -4*s = u + 73 - 76 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 12:22 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -11 (b) -0.5 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 7700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + 4c0c6?\nAnswer: 4c0c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1163032025 - -3?\nAnswer: 1163032031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 11111 (base 2) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i = -3*i. Suppose 2*r = -2*r + 20, -5*r + 15 = -5*z. Let c be (20\/135)\/((-40)\/(-540)). Solve i = -t + z + c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -98 + 99. Solve 5*n + 4*x = -5 - f, -2*x = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 1075315705 to the power of 1\/2, to the nearest integer?\nAnswer: 32792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -6*x + 58. Let s be g(9). What is the tens digit of -1*s\/(-16) - 10614\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 6*f - 3*q - 18 = 0, -q - 4 = 0. Let d = 533\/5 + -107. Which is the nearest to 0.1? (a) -1\/6 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15.35 + -0.35. Let v = 14.91 - k. Let r = 5.09 + v. Put -0.1, r, 3 in ascending order.\nAnswer: -0.1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -61 (b) 1 (c) 2 (d) -1\/6 (e) -0.05 (f) -174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h**3 - 9*h**2 + 11*h + 9. What is the units digit of f(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93 is divided by 70.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 29 + -34. Let f = -13553 - -67767\/5. Let r(g) = g**3 + g + 1. Let n be r(0). Which is the second biggest value? (a) w (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 182 divide 893704630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -16*t**2. Let a(z) = -57*z - 54. Let h(x) = -29*x - 30. Let j(y) = -5*a(y) + 9*h(y). What is q(j(u))?\nAnswer: -9216*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/249546 and -115\/66.\nAnswer: 249546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*k - 10 + 10)*(-6 - 2 - 41)*(1 - 1 + 2*k**3) to b + m*k**4 + w*k**3 + n*k + s*k**2 and give m.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**3 - 17*d**2 - 3*d - 11. Let l be o(-17). Let r be (-3)\/((-15)\/l*(-2)\/(-22)). Let q = -86 + r. Solve q = -b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y, 1 q, and 1 f when four letters picked without replacement from ffqqqqqqyfqfffyqq?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 14, e: 4}. What is prob of picking 2 s and 2 e?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u - 1. Let j(r) = 10*r + 7. Let n(x) = 28*a(x) + 4*j(x). Let d(l) be the third derivative of l**5\/30 + 8*l**2. Give d(n(y)).\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:33 AM and 4:39 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 12 = -k - 4*i, 5*k - 5*i + 20 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1480*a + 1442*a = 836 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -661*l + 1383. Is t(-3) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (3 - -24) + 31 + -51 + 7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -7, -2\/1733, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.32 - 0.63. Let g = -0.19 + k. Which is the third biggest value? (a) 3\/7 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gszwwqzsqnwggsgqw. Give prob of sequence gwz.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1544429 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 - 4)*(8*u + 3 - 6 + 4) + (-3 + 4 + 1)*(-1 + 1 - u).\nAnswer: -18*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*l + 37*l - 2*m - 429 = 0, 3*l - 75 = 4*m for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 8 - 6 = -d, -2*d + 49 = -5*j. Let o(z) = -2*z**3 + 29*z**2 - 36*z + 46. Let g be o(14). Let m = 266 + g. Put m, d, 2 in increasing order.\nAnswer: 2, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 933\/13448 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1246369.\nAnswer: 1246369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are 4833 and 4833 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the first derivative of -g**4\/4 - 2*g**3\/3 + 7*g**2\/2 - 2*g - 1357. Let l(x) = -x**3 - 3*x**2 + 7*x - 3. Determine -2*l(s) + 3*o(s).\nAnswer: -s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.68 and 128406.\nAnswer: 87316.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 AM and 7:54 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-21))\/(-6)*(-378)\/(-540).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 97 + -33. Suppose 2*p + 4*d - 4 = 0, -5*p + 2 = -4*d - y. Let m = 19 - p. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3733665647923.3000015 - -3733664436263. Let y = -1211660 - t. Let x = y + -0.3. Round x to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of 0 - 125\/12*l**4 - 5\/2*l**2 - 2\/3*l**3 - 77*l. Find the second derivative of w(i) wrt i.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -339 - -2709\/8. What is the smallest value in 4, s, 0.03?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*x = -18*x + 14. Suppose -x*i = -0*i - 259. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 7:00 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -64*k + 4728. Give r(80).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 63 + -60. Let h(w) = -w**2 + w + 1. Let t(d) = 5*d**2 - 2*d - 4. Suppose -25*q - 2 = -27*q. Calculate q*t(v) + x*h(v).\nAnswer: 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4\/5825, -1162 in ascending order.\nAnswer: -1162, -5, -4\/5825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -871\/9 + 97. What is the biggest value in 0.4, x, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*t**3*w**3 + t**3*w**2 - t**2*w**2 - 113*t**2 + 49*w**3 wrt w?\nAnswer: -18*t**3 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -24274333 and -6.\nAnswer: -24274339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 - h + 67 - 67. Let b(n) be the first derivative of -n**2\/2 - 4. Let z(j) = -b(j) + i(j). Calculate z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4567923?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32.9 - -33. Let x = -2590.7 - -2584.7. What is the biggest value in h, -2\/5, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 101*h - 145*h. Solve -18*w + 8*w - 20 = h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = o - 1, 3*o - 76 = -4*w. Suppose 3384 = 4*i + 5*n, 5*i - 4*i = 3*n + 863. Suppose -i = -12*q - 25*q. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -293*c. Let p(q) = 3*q**2. Give p(k(o)).\nAnswer: 257547*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 825\/(-63) - 9\/(1134\/(-12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3395405491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1591 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 357271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 301825357?\nAnswer: 301825357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*i**2 + 29*i**2 + 28*i**2 + 20*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -4 + -1 + sqrt(147) + -3*(sqrt(147) + 0) + sqrt(147) + -3 + 2)**2 + 4.\nAnswer: 98*sqrt(3) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -10. Let i(a) = -742*a**3 + 2*a**2 + 2*a + 1. Is i(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 74*c**2 - 13*c**2 + 39*c**2.\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p*((p*p\/(p\/((p\/p**6)\/p*p))*p*p)\/p)\/p*p*p**(3\/11))\/(p**0)**(2\/145) assuming p is positive.\nAnswer: p**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 14 > -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 - 4963*t**2 + 37 - 15.\nAnswer: -4963*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sum 4.65828 and -3.\nAnswer: 1.65828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 40100.3t in kilograms?\nAnswer: 40100300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6.9 - 2.7. Let s = 8 + -12. Let f = p + s. Put 5, f, -3 in descending order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {m: 1, l: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*f - 5*r - 9, f - 5 = 2*r. What is the units digit of 2\/f*66 + 36\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of 0*i**5 + 0 + 0*i**3 - 1\/90*i**6 - 1\/6*i**2 + 1\/18*i**4 + 2*i. Determine v so that a(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -701.687 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1911 divided by -55.\nAnswer: 1911\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 13 - (-1 - (2 - 1)). Let v be (((-5040)\/75)\/(-56))\/((-1)\/(-5)). Solve 2*y + v = -4*z, -4*z + 2*y = -z + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2001 is divided by 64?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 15) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.5645*-47\nAnswer: 26.5315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*v**5 - 169*v**3 - 169*v**3 - 181*v + 345*v**3 + 66*v wrt v?\nAnswer: -120*v**3 + 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 41*g**3 + 62*g**2 + 28*g - 25. Suppose -4*b = b - 4*i + 141, -3*b - 3*i - 63 = 0. Let w be u(b). What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -2959.\nAnswer: 8877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7532177345 to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the first derivative of -x**5\/60 - x**4\/12 + x**3\/3 - 3*x**2\/2 - 4. Let s(u) be the second derivative of y(u). Give s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 21*t + 51. Determine l(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 12 + -3876?\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17951 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/((-12)\/(-4)) + 0. Let b(i) be the third derivative of 23*i**4\/24 - 5*i**3\/6 - i**2. Is b(g) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*r + 3*r - u - 10, 8 = -2*u. Solve -r*y - k - 6 = 0, -3*y - 3*k = 2*k - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in -o**3\/2 - 13*o**2 + 26283*o\/2 - 39294 = 0?\nAnswer: -177, 3, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -3*c + 8094, -6*p - c = -4*p - 8090. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3177296623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of 0*i**5 + 5\/3*i**3 - 1\/6*i**7 - 8*i + 0*i**6 + 0*i**2 + 0 + 0*i**4. Find the second derivative of h(k) wrt k.\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 476.52 + -476.57. Let s = 22\/9 + -28\/9. What is the nearest to 1 in s, -1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -10*1 + 6 + -3. What is the least common multiple of 4 and ((-2)\/(-2))\/(a\/(-196))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -156*p + 147*p - 304*p - 241*p - 29362 = 0 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2013*r**3 + 6*r**2 - 9068*r.\nAnswer: -12078*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s. Let p be (1 + 3)\/(-2) + 6. Let d(j) = -3*j**2 - 3*j - 3. Let c(g) = 3*g**2 + 4*g + 4. Let z(m) = p*d(m) + 3*c(m). Give z(o(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = -2*b - 30, -4 = -2*c + 4*b + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (16\/10 - 2) + 1. Let q = -11.9 - -12. What is the closest to 1 in 2\/7, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 2*b**3 - 3*b**2 - 5*b - 6. Let i be h(4). Find the first derivative of -36*w**4 - i - w**4 + 0*w**4 wrt w.\nAnswer: -148*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-4*(2*sqrt(144) + sqrt(144) - sqrt(144) - sqrt(144)))\/((sqrt(84)*1)\/sqrt(7)))\/(sqrt(1944)*5*3))**2.\nAnswer: 8\/18225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00066598499 rounded to five decimal places?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -70 + 126. Let z be (8 + -5)*(-16)\/(-6). What is the greatest common factor of z and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 114840742\/5 + -23304254. Let j = b + 337317. Let m = 2401\/2 - j. What is the common denominator of -37\/10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*f = -9*x + 53, -f - 6 - 2 = -x - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 4085718*n + 2. Let c(z) = -2*z. What is c(p(d))?\nAnswer: -8171436*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 + 4*u**2 + 4*u + 4. Let j(h) = h**3 + 8*h**2 + 2*h + 3. Let n be j(-8). Let b = n + 11. Let i be p(b). Solve 2*d + 0 = -i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -97434821*c**4 - 3*c**2 + 15*c + 476008 wrt c.\nAnswer: -2338435704*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 11*w + 21. Let s be d(-2). Let n = 504 + -11590\/23. Which is the nearest to s? (a) -12 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2239324110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -332004 (base 8) to base 3\nAnswer: -12200010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -9*k + 5*k + t, -4*k - 3*t - 7 = 0. Suppose -14\/3*a**k + 2\/3*a**5 + 16\/3 - 22\/3*a**3 - 2\/3*a**4 + 20\/3*a = 0. Calculate a.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u**3 + 4. Suppose 12*t - 20 = 8*t. Suppose 8*r - t*r = 0. Let f be h(r). Solve -5*k + 2*a = -f*k - 7, -4*a = 2*k + 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = 2*k - 0*k. Let r = k + 35. Calculate the greatest common factor of r and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2912074 by -1456037.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 47 = -2*b - 5*w + 4, -13*b - 27*w = -29*w + 245 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = -3*a + 5*n, -32*a = -28*a + n + 4*n - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -8, -340, 2, 2\/19, -1, 51\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 14 (base 11) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (2 + -3 + -5 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -34*q**2 + 3*q + 2. Let k(d) = 101*d**2 - 10*d - 7. Determine 7*b(j) + 2*k(j).\nAnswer: -36*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11145?\nAnswer: 3, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 - 2)*(q - q - q**3) - 4101*q**2 - 49*q**3 - 77*q**3 + 125*q**3 - 2*q.\nAnswer: 2*q**3 - 4101*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 10\/3, -3, -2, -1\/2 in decreasing order.\nAnswer: 10\/3, -1\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -i**2*w**2*x**3 + i**2*w*x**2 + i*w**2 + 13468*w**2*x**3 + 2441*w**2 + 2*w*x**2 wrt x?\nAnswer: -6*i**2*w**2 + 80808*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -55 <= -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 + 33. Let c(h) = h**3 + 11*h**2 + 10*h + 2. Let t be c(-10). Factor k*v**2 + 27 + 18*v**2 - 47*v**t - 9*v - 3*v**3 + 0*v**3.\nAnswer: -3*(v - 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23951196 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 7:28 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cpgxxpcuxpucub. What is prob of sequence cpp?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p\/(p\/(p\/((p**(-1\/3)\/p)\/p)*p))))**(-2\/71)*(p*p*p**(-2\/7)*p)\/p**2)**(10\/3) assuming p is positive.\nAnswer: p**(12050\/4473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(24) + -2*sqrt(24))*3)\/(3*sqrt(72)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30 - -200) + -72 - 99.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(7\/3)\/d**(-1\/10))\/((d\/(d\/(d\/(d*d*(d\/((d**(-4\/13)*d)\/d))\/d))))\/((d*d**(-2\/7))\/d)))**4 assuming d is positive.\nAnswer: d**(18866\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 1101100101000101001 (base 2) to base 6.\nAnswer: 13312013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -136, -260, -460, -730, -1064, -1456, -1900, -2390?\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 561, 611, 695, 813, 965, 1151?\n\"Answer: 17*g**2 - g + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.093 or -810789?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -23117 (base 9) to base 8.\nAnswer: -36056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 214631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*i + 0*i + i)*(4*i - 4*i + 2*i**2) + (-466*i**2 - 8313*i + 8313*i)*(-4*i + 3*i + 2*i) as r + o*i**2 + w*i + z*i**3 and give z.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -11*g - 31. Calculate the remainder when 227 is divided by d(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/(-9))\/(120\/(-1190)*567\/(-729))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 31.1 - 31. Let i = -0.2 + 0.27. Which is greater: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 5*q + 100, q - 58 = -5*g + 42. Let d = -3 + g. Suppose 2*p = 3*s + 137, -4*p + 4*s + 271 = -s. What is the remainder when p is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -42*a**2 + 5*a**2 - 47*a**3 + 21*a**3 + 25*a**3 - 2*a as d*a + i + b*a**3 + h*a**2 and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.05557 + 109.\nAnswer: 108.94443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5343 and 2055?\nAnswer: 26715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 37\/3 (b) -0.3 (c) -1 (d) 123\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1578 - -3481. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 4*v - 12. Give d(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 23 - 9 = 0. Let r(k) = k**3 - 7*k**2 + 5*k + 9. Is r(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-24))\/(-1*(-16)\/(-2160)*-9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/1252 and (-40230)\/(-10016) - 15\/(165\/44).\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-28)*w)**46 assuming w is positive.\nAnswer: w**(-1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 57, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, -235, -0.031, 0.3 in descending order.\nAnswer: 0.3, -0.031, -1\/3, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 - 15*v**2 + 78*v + 31. Let i be p(-19). Let f(g) = -5*g - 20. What is f(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 0*m = 64. Let r be ((-3)\/m)\/((-9)\/6). Sort r, 0.4, -5.\nAnswer: -5, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -12301? (a) 0 (b) 0.4 (c) 2\/7 (d) -2\/1031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes after 5:01 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -13*k**5 + 8*k**5 + k**5 + (0*k**3 + 2*k**3 + 0*k**3)*(5*k**2 - 4*k**2 - 2*k**2) + k**5 - 2*k**5 + 2*k**5 + k**5 + 3*k**5 - 2*k**5.\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 2 (b) 58 (c) 16\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 632840953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Simplify w*w\/(w**24\/w*w)*w*w\/(w*w**(-41))*(w*w**(-17)\/w*w*w)**(-3) assuming w is positive.\nAnswer: w**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 9*u + 1. Let b(t) = -18*t - 2. Determine -4*b(h) - 7*n(h).\nAnswer: 9*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 164 + -23764. What is m rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 454, 456, 458?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7785502375.\nAnswer: 5, 7, 433, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**2 + 4*i + 17. Let f be w(5). Find l such that 0*l - 57*l**2 - 99*l**3 + 3*l - 27*l**4 - f*l = 0.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*j**3 - 25*j**3 + 61*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -3*c - c + 3*c - 2*c + 4*c - 3*c + (3*c - 4*c - c)*(2 + 0 + 1) in the form h + i*c and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 17531534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 61 and 1902163.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 236 divide 11198227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 1, g: 2, s: 2, c: 9}. Give prob of sequence sccg.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 9, c: 5, g: 2}. What is prob of sequence cghg?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (12 - (17 + -20 + -3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-40)\/12*(11 + (-427)\/35). Let a(d) be the first derivative of 4*d**2 + d + 1. Let f(s) = -9*s - 1. Give z*f(t) + 5*a(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -4*w + 6. Let n(q) = q - 2. Let y(i) = 7*n(i) + 2*u(i). Determine y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 3*i - 12. Let j be y(5). Suppose -3*q - 6 = -4*d + j*d, -52 = -2*d - 2*q. Let h = -11 + d. Calculate the greatest common divisor of h and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -19*n**3 + 2*n + 2. Let i be g(-2). What is i rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 42, 49, 56, 63?\n\"Answer: 7*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2*1*-1*2\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 2*v + 10, 9 = 3*l - 2*v - 1. Suppose l*s - 395 = -5*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*m - 4 = -72. Let o(r) = -r**2. Let a(q) = -6*q**2 - 2. Determine m*o(w) + a(w).\nAnswer: -4*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -540 = -2*i + 2*v + 12836, v - 33452 = -5*i. List the prime factors of i.\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 22\/10 - 1\/5. Let k be u\/(-6) - 10\/(-3). What is the greatest common divisor of k and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-5)*35\/(-14). Let x be (-3)\/12 + 1\/(-12). What is the nearest to -0.3 in 2, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 320*g + 45748. Calculate f(-146).\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + 1. Suppose -8 = -g*x + 2, 4*h = -x + 13. Suppose 3*u - 59 = -h*i, 0 = -i + 4*u + 3 - 1. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 19, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + 1*(264\/(-7) - (-340)\/476).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-45)\/9)\/(231310\/(-46261) - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 466612.\nAnswer: 3\/466612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-6*(-3 + sqrt(1377)) - sqrt(1377) - (sqrt(1377) + ((-3 + sqrt(1377))*-3)**2)).\nAnswer: -12451 + 414*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2240, 2242, 2246, 2252, 2260?\n\"Answer: i**2 - i + 2240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (132\/20)\/(13 + (-2970)\/225).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5\/8, 9, 0.01, -2\/7, -0.1, -8\/79?\nAnswer: -8\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 + 48\/20 + 1\/3. Sort 2\/7, 1\/5, j.\nAnswer: j, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-410962331)\/(-26) + (-1)\/2. Let r = t + -8706243. What is r rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -411400 + -303?\nAnswer: -412103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -11*g - 4 - 3 + 2 - 4 - 3*g**2. Let k(w) = -2*w**2 - 6*w - 5. Let j = -1334 - -1341. Let b(p) = 2*p + 4. Let z be b(-4). Calculate j*k(u) + z*q(u).\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h**4 + h**4 - 14*h**4 + h**4 - h**4 - 2*h**4 + (4*h + h**3 - 4*h)*(1 - 1 - 2*h).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*i**2 + 2*i**2 + 2*i - 4*i + (-2*i + 1 - 1)*(i + 2*i - 2*i).\nAnswer: -3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14 - (10 - 4)) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.71? (a) 3\/4 (b) -1\/7 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -16 * -1.4223\nAnswer: 22.7568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.49 - 0.01. Let k = 0.42 + d. Let r = k + 1.08. Put -3, -0.5, r in descending order.\nAnswer: r, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.003 - -5.097. Let b = 5 - z. Let q = -0.2 - b. Which is smaller: q or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 791580 by -131930.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 13290503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -305 + -207482?\nAnswer: -207787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 6 = -z - 4, 8 = -5*z - 3*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y + 11. Let z be h(-7). Suppose -2*b = -b + 5*f - 2, -z*b - 10 = 2*f. What is the smallest value in b, 0, -1.2, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -548 and -271.\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-127 - -145) + (-6 - 25))\/((5\/55)\/1).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*w + 924 = -4*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2*n**3 + 7*n**2 - 5*n - 4. Let l(k) = -294 + 149 - 4*k + 142 - 2*k**3 + 6*k**2. Calculate 4*f(r) - 5*l(r).\nAnswer: 2*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30\/(-20) + 137\/2?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*m**5 + 72*m**4 + 486*m**3 + 528*m**2 - 1089*m = 0. Calculate m.\nAnswer: -11, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-1689)\/6)\/((-3)\/(-2)*5\/(-135))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -1*(-2*sqrt(176) + -3 + sqrt(176)).\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/(((-10)\/(-90))\/(1*-1)). What are the prime factors of (-3)\/(-8)*(-12)\/j*18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mqmmqm. What is prob of picking 3 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3, -5\/3, 90, 5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the third derivative of -z**5\/60 + z**4\/4 - 3*z**3\/2 - 2*z**2 + 8*z. Suppose 4 = 4*i - 20. Calculate t(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*d**4 + 72*d**2 + 2*d + 51292 wrt d.\nAnswer: 40*d**3 + 144*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2731 - 619 + 408 + 2*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(-7)*(s\/(s*s*s**(1\/6)\/s))\/s)\/(s\/(s\/((s\/s**(-2))\/s)))**27 assuming s is positive.\nAnswer: s**(-283\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 - 6*z - 4. Let n be m(8). What is the common denominator of n\/(-30) + 14\/(-20) and 2\/(36\/45) - (-3 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -2 (b) -4\/5 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -7161 by 7.\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6.88 + 0.12. Let d = -8.5 + h. Round d to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 50*n**2 + 4*n + 33. Let z(o) = 32*o**2 + 2*o + 22. Determine -5*t(s) + 8*z(s).\nAnswer: 6*s**2 - 4*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 2*a + 20 + 1, -5*f - 3*a + 31 = 0. Suppose -p = -f*p + 5*x + 39, 0 = 3*p - x - 21. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - -6 - ((-30)\/(-84))\/(8\/140)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*o - 60 + 2070 = 235*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -819, -3291, -7415, -13191?\nAnswer: -20619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of -8*x + 15\/4*x**4 + 316 - 77\/3*x**3 + 35*x**2. Factor d(v).\nAnswer: (v - 4)*(v - 1)*(15*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 - 2)*(-2 + 1). Suppose 3 + x = r. Let y = -2 + r. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 + 18*s**2 + s + 26. Calculate the least common multiple of ((-12)\/(-10))\/((-1)\/(-5)) and w(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 500 a factor of 130000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 38.60000336 + -38.6. What is z rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75599360 divided by 256?\nAnswer: 295310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22 + 24. Suppose -i = 4*o - 2*i - 57, 0 = 5*o + t*i - 81. Solve -4*j + 7*j = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -6*d. Let q(s) = -552*s. Calculate q(j(o)).\nAnswer: 3312*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 plus 197510372?\nAnswer: 197510371.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be (40\/(-120))\/(3\/36). Which is the third smallest value? (a) 0.3 (b) 0.1 (c) 14 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10303 is divided by 1020?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20.2 - -20. Let f(l) = 9*l. Let q be f(-5). Let a = q + 318\/7. Sort a, 5, k.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11696937 to the nearest integer?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 52\/11 and 57\/36367820.\nAnswer: 400046020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r - r + 3*r)*(35*r + r + 12*r) + 2*r**2 + 6*r**2 - 13*r**2.\nAnswer: -101*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-15 - -4) - -8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 35458856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -26 (base 12) in base 7?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -38 + 72. Let m be c\/4 - (-2)\/(-4). Suppose 0*u = -m*u + 176. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 + 1)\/(4 - 6). Suppose i = -4*g - 15 + 67. What is the remainder when 24 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = -w - 88. Let n be w\/(-6) + 8\/24. Suppose -4*u - 2*c + 72 = u, -n*u + 2*c = -72. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3803090 to the nearest integer?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (3\/(-6))\/((-1)\/(-8)) - (-3238 - 13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 - 17*u**2 - 8*u - 20. Let y be c(18). What is the highest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j**(-11)*j)**(-44\/5))**(-7\/8))**22 assuming j is positive.\nAnswer: j**(-7623\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -1557, 43, -3, 4 in increasing order.\nAnswer: -1557, -3, -2, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17035*a**4*k**2 + 13*a**3*k**3 + 2*a*k**3 - 14747*a*k**2 + a wrt a.\nAnswer: -204420*a**2*k**2 + 78*a*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-162)\/(-18) - 99\/12.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 1 - 1)*((d**2 + d**2 + 0*d**2)*(4 + 2*d - 4) + 10 - 13*d**3 - 10) in the form x + j*d + k*d**3 + s*d**2 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ebbe when four letters picked without replacement from ebbebeebbeebeeebbeb.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 232405 (base 7) to base 15.\nAnswer: c554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 9*d**2 - 5*d - 5. Let s be k(-9). Suppose -155*w + 157*w = -s. Is -144\/7 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u + 410 + 6 = 0. Let m be (-4)\/(-6) - u\/(-36) - 2. Which is the biggest value? (a) 4 (b) -0.3 (c) -0.2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 129\/(-602)*(-14 + 0). Factor -11*u**2 + 2 + 3*u**t + 11\/3*u + 7\/3*u**4.\nAnswer: (u - 1)**2*(u + 3)*(7*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 12) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 0.7, 190, -2\/5, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - 2421241?\nAnswer: -2421301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26668983?\nAnswer: 3, 11, 23, 41, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1 (b) -3\/4 (c) -1.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 262482*b - 653 = 262203*b + 4927 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*2*sqrt(77)*4*-4)\/((-2*sqrt(224))\/(-1*sqrt(8)*-5 - sqrt(8))).\nAnswer: -160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 AM and 9:24 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 PM and 6:01 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 116 and 3034328.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-104)\/624)\/(4\/20).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.19692042 + -0.1969. Round n to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4695.000005646 - -4695. What is i rounded to 7 decimal places?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/d**(-6)*d**4\/d*d**(5\/3)\/d*d\/d**(-2) assuming d is positive.\nAnswer: d**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be 100\/(-8)*(-21 + 629). Let i be 300\/(30\/5)*y. What is i rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 73081 = -888*n - 34367 for n.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -48296077 and 44.7?\nAnswer: 48296121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 5*m**3 + 187865*m**2 + 1764568975*m - 1764756845 = 0. What is m?\nAnswer: -18787, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -c**3 + 42*c**2 - 39*c - 82 = 0.\nAnswer: -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2065638110?\nAnswer: 2, 5, 1777, 116243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*t**4 - t**4 + 3*t**4 + (2*t**2 - t + t)*(-4*t**2 + 2*t**2 + t**2) + t**4 - 7*t**4 - 3*t**4.\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve i + 3*b = -10, -10*i = -5*i + 17*b - 13*b + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-280)\/(-49) - 11)*7\/(-10) and 19\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (117\/130*15)\/((-474)\/(-2528))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 12) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -29\/2 - -15. Let d = -458 - -3208\/7. Put 1\/7, a, d in descending order.\nAnswer: a, d, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 5*c = 13, -5*g - 31*c + 9 = -32*c. Suppose 3*z - 5 - 4 = 0. Solve -b - 22 = -g*m - 6*b, -2*b + 11 = z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0797005 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the first derivative of 1\/3*g**3 + 0*g - 59 + 0*g**2. Let b(d) = 26*d**2 + 2. Determine t(b(r)).\nAnswer: 676*r**4 + 104*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13 and 20511855?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 503341 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n**2 + 384*n + 36864 = 0. What is n?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 20 = 4*d, -2*d = d + 4*f + 6. Suppose -4*n = 3*p + 410, -6*p + n = -d*p + 572. Are p and -143 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/2)\/((-6)\/2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (30\/(-280))\/((-3)\/16)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 37656 and 360?\nAnswer: 188280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 11880 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - c + 4 = 0. Let u(f) = 6*f - 4*f**c - 7*f + f. Let j(s) = -3*s**2. Calculate u(j(x)).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 AM and 12:49 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 150.72 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 14, 28, -6, -1, -56 in descending order.\nAnswer: 28, 14, 0, -1, -6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v, 1 r, and 1 g when four letters picked without replacement from {h: 1, g: 4, r: 3, y: 1, u: 1, v: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 - (-156)\/(-75) - -3*1. Which is the fourth biggest value? (a) 5 (b) t (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1274, 2781, 4288, 5795, 7302?\nAnswer: 8809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 20, 8*p + 4*b = 6*p + 8. Let c(j) = 6*j - 14. Let n(m) = 2*m - 5. Let w(k) = -4*c(k) + 11*n(k). Let z(r) = -2*r + 1. Determine p*z(q) + 5*w(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of 0*d**5 - 3\/2*d**2 + 0 + 6*d + 0*d**4 - 1\/10*d**6 + 0*d**3. Differentiate k(w) wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 4*w - 19 = 0, 0 = u - 2*w + 7*w - 15. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 34\/211 - 7845\/18568. Find the common denominator of 79\/24 and y.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (15 + -27)*2\/(-6). Solve -4*n + d + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor t**4\/5 + 11*t**3 + 1026*t**2\/5 + 6804*t\/5 + 5832\/5.\nAnswer: (t + 1)*(t + 18)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1.013*2196\nAnswer: 2224.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -554 * 2.5\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*d**2 + 7*d**2 - d - d**4)*(-5 + 2 + 2)*(5 - 25 + 49).\nAnswer: 29*d**4 + 29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 199438*r - 4985949. What is l(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 5*h + 0*h - 25 = 0, -10 = 3*m - 5*h. Put -3, m, 7 in decreasing order.\nAnswer: 7, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -282, -280, -278, -276?\n\"Answer: 2*v - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -1 + 0 - (-8 + 4 + (8 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**3 + 158740*b**2 + 476248*b + 317504.\nAnswer: -4*(b - 39688)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 4*sqrt(468)*-2.\nAnswer: -48*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*x**3 - 12*x**3 + 102 + 2*x**3 + 201 - 303.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 take away -80361237?\nAnswer: 80361234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 7*v**2 - v + 2. Let o(j) = -j - 4. Let p be o(-8). Suppose -4*h + 8 + p = 0. Let l be r(h). What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/8)\/(34\/68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*a**4 - 259*a**2 - 48*a - 1.\nAnswer: 72*a**2 - 518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**2. Let b(y) = y - 1. Let u(r) = 14*r**2 - 572*r - 4 - 4*r**2 + 576*r. Let x be (0 - -1) + (-4 - -7). Let m(i) = x*b(i) - u(i). Give m(n(k)).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-3) - 94\/3. Let k = -28 - b. Suppose -2*m + 4 = -3*m, k*m + 18 = z. Solve -10 + 2 = z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 199838921, 199838924, 199838927, 199838930?\n\"Answer: 3*g + 199838918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2865.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/9 - 38\/6. Let l(t) = 4*t**2 + 2*t + 3. Is 15 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -2) + -1 - (-23 - -22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 k when three letters picked without replacement from jjkjjkwwwjjwjkjk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**3 - 8*a**2 + 9*a - 12. Is d(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eve when three letters picked without replacement from {e: 3, a: 2, v: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 8060894 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the second derivative of -m**4\/12 - 2*m**3\/3 + 7*m**2\/2 + 3*m. Let h be k(-5). Solve -h = d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from neenennyeeeeynyey. Give prob of picking 2 e and 2 n.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33470859?\nAnswer: 3, 11156953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*t**4 + 4*t - 4*t + (1 + 23 + 19)*(-2*t**3 - t**4 + 2*t**3) + 3*t**3 - t**3 - 2*t - t**4 - 3*t**3.\nAnswer: -47*t**4 - t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.397 * -0.7057\nAnswer: -0.2801629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -22503 (base 6) to base 15.\nAnswer: -e3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*o - 65*o + 165 = -213 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 128655 - 1236?\nAnswer: 127418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -55 + 195. Suppose -q = -5*q + s. Calculate the common denominator of (44\/(-10))\/((-16)\/q) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t = 11 + 5, -48*q = -45*q - t - 0*t + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -12*k**3 + 19*k**2 + 5036*k - 10064. Give j(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*(s*(s\/(s*s**8))\/s)\/s)**(-1\/13)\/((s**(-2\/15)*s)\/s)**(14\/11) assuming s is positive.\nAnswer: s**(1684\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -254 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.3 - 0.4. Let j = 190.77 + -190. Let p = j - 0.27. What is the closest to c in -2, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -68544700 to the nearest one hundred thousand.\nAnswer: -68500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 26 + 19*y - 26 in the form h + n*y and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - 87 + 27. Let i be 13\/3 - m\/18. What is the smallest value in 2, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 62.8 + -62. Let w = -0.7 + r. Let x = -2215\/3 + 729. Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2575 and 20.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7310.\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q - 1. Let w(c) = -c**4 - 9*c**2 + 2*c + 9*c**2 - 3 - 2*c**4. Let s(t) = 3*f(t) - w(t). What is the second derivative of s(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 102585, 410414, 923457, 1641708, 2565161, 3693810, 5027649, 6566672?\nAnswer: 8310873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1145067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*u + 152 - 152.\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5.61, -133, -1\/2, 215?\nAnswer: 5.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-3)*d**1)**(-17)*(d**(2\/9)\/(d\/(d*d**(-4\/5)\/d)*d))\/(d*d**0)**(5\/3) assuming d is positive.\nAnswer: d**(574\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 53 - 55. Let k be (8 + o)*40\/24. Solve -5*x + 0*x + k = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-4377)\/(-8) - ((-20)\/(-2))\/80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of -n**6\/18 + n**5\/15 + n**4\/6 - 2*n**3\/9 - n**2\/6 + n\/3 + 2. Solve a(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/3*((-205)\/10 - 5). Find the second derivative of -p*h + 5*h**3 + 7*h**3 + 6*h**3 - 10*h**3 wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6*1\/2*-1. Let v be (4\/(-6))\/((-1)\/y). Sort v, -4, -3 in descending order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*y - 4*i, 3*y - 5*i = -y + 15. Let q be (-2)\/(-2)*(-4 + 9). Suppose 0 = -3*x - y*x - q*d + 214, -5*x + d = -366. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*c - c + 0*c)*(-2 + c + 2) - 3*c + 5*c**2 + 0*c**2 + 532 - 548 in the form d*c**2 + n*c + o and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o - 4. What is u(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes before 8:40 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -11102123103 (base 4) to base 12\nAnswer: -56a243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 4760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 217 in -2, 155, -1?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - 1644.\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 9*k + 5. Suppose -3*c - 5*l + 24 = 0, -11 + 57 = 4*c + 2*l. Let t(j) = -19*j - 11. Calculate c*i(y) + 6*t(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-592)\/148*(6\/(-4) + 1). Let m be 14\/84 + y\/(-12). Solve 6*x + 7 - 13 = m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -2*k**3 + 2*k**2 + 4*k - 27. Give f(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 8) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of 7\/60*z**5 + 0*z + 0*z**3 + 14*z**2 + 0 + 0*z**4. Let p(y) = -2*y. Calculate w(p(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 1.1 (b) -4 (c) 108 (d) 1\/3 (e) 1\/5 (f) -2\/13 (g) 1055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express f**2 + 2*f**4 + 3*f - 3*f**4 + 7*f**4 in the form b*f**2 + h + a*f**3 + r*f**4 + x*f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-36)\/(-84) + 15352\/2660.\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100046226 is divided by 7008?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 181972670.\nAnswer: 2, 5, 11, 67, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*((x**(-4\/3)\/x)\/x)\/x)\/(x*x**(6\/17)))\/(x**(-6)*x*x*x*((x*x*x**(-4\/27)*x*x*x)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-2542\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/2*(-5)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*n - 44*n - 11754 = -28070 + 12221 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2062 is divided by 865?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (48 + 49 + 53*x - 93)*(0 + 1 + 1).\nAnswer: 106*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (6 - 2 - 2)*(-22*f + 72 - 72)*(0 + 4 - 19)*(2 - 1 - 3)*(-f - 1 + 1)*(-2 + 0 - 1) in the form x*f**2 + l*f + j and give x.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.072911965 and -2478975.\nAnswer: -2478974.927088035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the third derivative of -o**9\/72 - 67*o**7\/105 + o**6\/120 + o**5\/12 - 69*o**4\/2 - 1650*o**2 - 3*o. Find the third derivative of u(i) wrt i.\nAnswer: -840*i**3 - 3216*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.3, 1\/9, 640, -1\/887?\nAnswer: -1\/887","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 13501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70*l = -17655 - 234275. What is the highest common divisor of 366 and l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41 + 54 - 37 - (0 - 5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(226\/6 + -41).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 2479.6 to the nearest 10.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + -164.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -59935 * -18.26.\nAnswer: 1094413.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 28, -1 in increasing order.\nAnswer: -1, 0.4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111001 - 1001101010001?\nAnswer: -1001100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l\/l**(-12)))\/(l\/(l\/l**(-6\/13)*l)))\/(l**(-2\/25)\/l*l*l*l*l\/l**(-1\/30)))**(4\/9) assuming l is positive.\nAnswer: l**(-52618\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m**3\/9 - 284*m**2\/9 - 447430*m\/9 + 448264\/3 = 0 for m.\nAnswer: -409, 3, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 2967.91 kilograms?\nAnswer: 2967910000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 2)*(-29*w**2 - 12*w**3 + 29*w**2)*(2*w + w - 2*w)*(0 + 5 - 2).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-26)\/117 - 104\/18. Suppose -8*d = -2*d + 48. Is k less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3\/29 (b) -1\/8 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 591743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 - 11*f**2 - 12*f + 4. Let g be h(-10). Let x be (g\/(-30))\/(1\/5). Which is the closest to x? (a) 1\/2 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 17*g - g**4 + 2*g**3 + 1 + 12*g - 60*g - 3*g**2 in the form q*g + c + b*g**3 + t*g**2 + x*g**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*p - 17*p - 18*p - 10*p.\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of 23*k**6\/6 - 12*k**2 + 35. What is the second derivative of d(m) wrt m?\nAnswer: 460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 4*p + 2. Suppose s = -p*s. Solve -5 = -s*y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 26 - 8. Let k be (-45)\/h - 2\/(-4). Calculate the remainder when 31 + (12\/30 - k\/(-5)) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 339950802?\nAnswer: 2, 3, 17, 59, 56489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2 + 13*m + 6. Let f(n) = 2*n**2 + 25*n + 11. Suppose -t = -6 + 11. Let j(z) = t*r(z) + 3*f(z). Is j(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 114622238 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 194*m + 590. Let r be u(-3). Which is bigger: -37 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/60 and 41\/21.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 243\/9 + (3 - 1 - 6). Solve -2*u - p = 3*k, -4*u + 7*u = -4*k - 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*q + q + 14*q**3 - 8*q.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -5*o - 2*o + 2*o**2 - 3*o**2 - 6 - o. Let x be s(-4). Solve 4*q + q = x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -892.3 < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r = r - 44. Solve 0 = 5*n - 5*q - r + 24, -3*n = -q + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 4*a = 44, -58*n - 56*a = 63*n - 117*n - 8 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o**2 + 68*o - 60. Determine a(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5816*o = -5663*o + 7213 - 1093 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3878 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes after 1:30 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53336, -53313, -53284, -53255, -53232, -53221, -53228, -53259?\nAnswer: -53320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 6*a + 146 = 8*a, -2*p + 71 = 3*a. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + ddbd69?\nAnswer: ddbd70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (2*p**3 + 0*p**3 + 0*p**3)*(5*p - 3*p + p) + 29*p**4 + 8*p**2 + p**3 - 2*p - 5*p**2 - p**2 in the form r*p**2 + h*p**3 + a*p + v*p**4 + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -254469\/19 - -13824. Let l = r - 431. Which is the fourth smallest value? (a) 5 (b) l (c) 27 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, -128, -546, -1432, -2960?\nAnswer: -5304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-13552)\/(-35))\/11 - 2\/10. Suppose 0 = -3*a + c + 202. Let z = -77 + a. Solve -z*i - 19 = 5*l, l + 3*l = i - 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*i - i + 0*i + 2*i - i + i + (2*i - 2*i + 2*i)*(0 - 2 + 0) + 1 - 1 - 2*i + (0 + 1 + 2)*(-3*i + 3*i + 2*i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 - 446?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7285*r - 6700*r + 1 + 4838*r.\nAnswer: -9147*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 800*w - 5694 = 581*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3\/((-27)\/6))\/((-21)\/126). Let s(o) be the third derivative of 0*o - o**2 + 1\/120*o**6 - 1\/3*o**3 + 5\/24*o**h - 1\/15*o**5 + 0. Factor s(i).\nAnswer: (i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -i**2*k - 51860*i**2 - 18*i*k + i + 6750*k - 1038 wrt i.\nAnswer: -2*i*k - 103720*i - 18*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*f = -35*f - 80. Let i be -1*f*3*-3. Suppose -i - 260 = -4*b. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - y = 315. Suppose 0 = -2*h - 3*h + y. Let o = h + 32. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.1 - -2.075. Let u = v + 0.315. Let a = u + -0.19. Sort a, -2, -3\/4 in decreasing order.\nAnswer: a, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + u = 165. Suppose -3*k - 2*k = -u. What is the common denominator of -3 + 2 + (-105)\/k and 20\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.41 + -0.4. Let n = 0.99 + f. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/11 or -0.002583?\nAnswer: -0.002583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y. Let o(g) = g - 4. Let b be o(-4). Let x be 0 - (3 + b)*1. Give h(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 15481845, 15481853, 15481861, 15481869?\n\"Answer: 8*x + 15481837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 10:37 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes before 6:05 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 101935719, 203871437, 305807155, 407742873, 509678591?\n\"Answer: 101935718*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/40 and ((-10)\/12)\/(48 - 52).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44 - 71. Let r(a) = 2*a**2 + 26*a + 53. What is the tens digit of r(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 - 4. Suppose k*v - 840 = -2*v. Suppose 0 = 2*a + 3*a - v. What is the highest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/2*-8 + 1. Solve 13 = 4*s + h, 5*h = a*s - 25 - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -70129*j**2 + 4628512*j + 132 = 0.\nAnswer: -2\/70129, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 2 = 4, 5*s - 17 = 4*z. Let n be -16*(z + 14\/4). Let l be n\/4 - 1*2. Do -3 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 - 11*n**2 + n + 2. Let p(h) = 11*h**3 + 61*h**2 - 90*h + 3. Let b(f) = -3*c(f) + p(f). What is the second derivative of b(s) wrt s?\nAnswer: 48*s + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -153 + 159.3. Let m = 6.3 - r. Which is the fourth smallest value? (a) -1 (b) m (c) 5\/3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 234\/4*2\/3. Let x = w - 34. Solve 6 = x*o + 1, 5*z + 18 = 3*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -404967*r**2 + 809938*r**2 - 404976*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the second derivative of -3*f**5\/50 - 31*f**4\/60 - 22*f**3\/15 - 19*f**2\/10 + 113*f. Factor t(n).\nAnswer: -(n + 1)**2*(6*n + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (3*(-974058)\/15)\/(1562\/(-3905)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r*r\/(r*(r\/(r\/(r**(-1\/3)\/r)))\/r)*r)\/r)\/(r\/r**(1\/4)))**(12\/11))**13 assuming r is positive.\nAnswer: r**(403\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1 - (-1*2 + 1). Suppose -b*v - v + 30 = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9409.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -399148 divided by -28?\nAnswer: 99787\/7","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1, 561, -10, -63, 2, 0 in increasing order.\nAnswer: -63, -10, -2, 0, 1, 2, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001075 rounded to 6 decimal places?\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3198845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.02 - -5.58. Let y = l - 6. Let k = y - 3.6. What is the third biggest value in -5, k, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h - 19. Let r be d(9). Put 11, -5, r in decreasing order.\nAnswer: 11, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ft when two letters picked without replacement from {t: 2, f: 1, c: 1, b: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the second derivative of s**3\/6 - s**2\/2 + 7*s. Let d(i) = 1 + 4 + i**2 - 7*i + 2. Let g be (-3)\/((-44)\/(-8) - 6). Determine g*r(f) + d(f).\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/8 and 14\/21*(-1053)\/65?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 680 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times -633\nAnswer: 63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((77\/28)\/11)\/(3\/(-18))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18574 + 910178\/49. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from {a: 2, l: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-5 + 2*sqrt(17))**2 - 2*(6*sqrt(425))**2.\nAnswer: -30414 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -6*d**3 + 16*d**2 - 12*d + 4. Let y(j) = 5*j**3 - 15*j**2 + 13*j - 3. Let f(a) = 3*q(a) + 4*y(a). Factor f(n).\nAnswer: 2*n*(n - 4)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 30339*f**3 + 11*f - 1237597?\nAnswer: 91017*f**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 5838 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the first derivative of 3*t**4\/4 + 4*t**3 + 15*t**2\/2 + 6*t - 29. What is r in z(r) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11001011010100 + 10001?\nAnswer: 11001011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**2 - 1950*h + 11880.\nAnswer: -5*(h - 6)*(h + 396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 22 = 2*p, 2*p - g - 48 = -18. Let w(t) = 96*t + 265*t - 43 - 5. Is w(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 90026256 and 0.024306.\nAnswer: 90026256.024306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 867996 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(0 + -1) - (-52)\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/4)*b*b)**(-3\/38)\/(b**(-3\/7)*b**2*b) assuming b is positive.\nAnswer: b**(-2925\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the third derivative of g**5\/12 + 35*g**4\/12 + 245*g**3\/6 + 26*g**2. Suppose z(i) = 0. What is i?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(300))*6 + 4.\nAnswer: -2 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (5 - (-16 + 51) - -13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 796492469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1, -4, -16, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.4 (c) 3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 71 + -0.09545.\nAnswer: 70.90455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 898316 to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -5*m + 289*m**4 - m**2 - 14*m**2 - 290*m**4 as p*m**3 + k + g*m**4 + j*m + h*m**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2626227994?\nAnswer: 2, 13, 19, 29, 183319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 32.25211845 less than 0.4?\nAnswer: -31.85211845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {i: 1, s: 1, j: 1, e: 3, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 23.57023 millennia to months.\nAnswer: 282842.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 511.05 - 510.95. Let j = -193.081 + 193. What is the nearest to 1\/2 in m, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2\/3 - 3366*w - 10096\/3.\nAnswer: -2*(w + 1)*(w + 5048)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1509 = -8*o - 597. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -3*j**3 + 9*j + 4. Let c(p) be the second derivative of p**5\/5 - 3*p**3\/2 - 5*p**2\/2 + 24*p + 5. Calculate -4*c(o) - 5*t(o).\nAnswer: -o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and 0.1552?\nAnswer: 0.6208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q**3 + 5*q**3 + 5*q**3)*(1 - 4 + 2).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t**2. Let v be ((-4)\/(-14))\/(-1*3\/(-21)). Let c be (-2)\/(-6) + 24\/9. Let k(p) = c - 8*p**2 - 3 + 4*p**v. Determine k(a(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 217 - 172. What is the greatest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 130, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, a: 1, u: 1, z: 3, c: 2, g: 1}. What is prob of sequence uac?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -7701.7, 86, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -222 - -218. Let n(k) = -2*k**2 - 6*k - 3. Determine n(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 47792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -3*c - 2*s + 1158, -s = -5*c + 1146. Suppose -c - 70 = -5*k. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -1515*y**2 - 70*y - 170. Let f(b) = -89*b**2 - 4*b - 10. Give 35*f(i) - 2*u(i).\nAnswer: -85*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -417, -982, -1547, -2112, -2677?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(375)\/sqrt(3)*-1.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*t + 14 + 26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4505 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 15 = -l, 0 = -0*u + 5*u + 2*l - 69. Suppose -12*c = -u*c + 9. Suppose c*k - 20 = 4*k. Solve w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.0426 - -0.0426. Which is the nearest to 73? (a) s (b) -4 (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, -3\/19, -296.\nAnswer: -296, -1, -3\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b - 1219 = -30*b. Suppose -245 = -6*s - b. Solve 8*n = 8 + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (104\/39)\/((-21)\/9)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -42 + 74 + -69 - 31?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 1797 divide 15738126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1146*l**3*q*w**2 - l**3*w**2 + 4*l**3*w - 2*l**2*w + l**2 + l*q*w**2 - 24*l*q wrt w.\nAnswer: 2292*l**3*q - 2*l**3 + 2*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -8*g**3 + 4*g - 4. Let n(f) = f**3 + f - 1. Let s be -3 - ((-8)\/(-22))\/((-12)\/66). Determine s*m(h) + 4*n(h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 2*u**3 - 6*u**2 - 17*u + 12*u - 1 + 3. Let r be d(4). Let z(q) = 3*q - 6. Let i be z(6). Is i less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -40*x**2 - x + 1. Let s be b(1). Let v = s + 102. What is the remainder when v is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nbnbbnnnnnnwbw. Give prob of picking 1 n and 1 b.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 7*r - 3*d = 11, -5*r - 22 = -8*r + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 - 27*l**2 + 19*l + 26. List the prime factors of c(27).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-360)\/(-54) + -6)*6\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 147.3 minus -0.0914?\nAnswer: 147.3914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g + 3. Let z be n(0). Let b(t) = -3*t**2 + 5*t**2 - z*t**2. Let s(i) = -2*i. Give b(s(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.37 + 0.03. Let y = k - -0.1. Let t = -0.0309 + 0.1309. Which is the closest to t? (a) -1 (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1122.11267 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 24*z - 1253. Calculate q(58).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -33*x. Let k(w) = 9*w. Let d(h) = 15*k(h) + 4*l(h). Let t(u) = -3*u + 13. Calculate t(d(z)).\nAnswer: -9*z + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1111120 + 12?\nAnswer: 1111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(245) - (-5*sqrt(245)*3 - sqrt(245))) + ((0 + sqrt(245) - sqrt(245)) + sqrt(245) + 0)*6)*4)**2.\nAnswer: 3073280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -39090 = 37*j - 38868 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 28939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**4 + 5*s**3 + 5*s**2 + 5*s + 5. Let g(j) = 4*j**3 + 4*j**2 + 4*j + 5. Let o(f) = -5*g(f) + 4*t(f). Differentiate o(u) wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-69)\/(-21) - 3) + 254\/(-7). Let u be d\/90 + (-52)\/(-5). Suppose t + 2*w - 54 - u = 0, -2*w = -t + 48. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 (base 10) in base 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5 + -3 + (-80)\/(-4). Let t = i - 22. Suppose -5*d + 1270 = -t*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 203150 is divided by 14509?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**5\/2 - 232029*x**4 + 11963879298*x**3 - 205627181454492*x**2.\nAnswer: 3*x**2*(x - 51562)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 2*g + 7. Let u be ((-1)\/(-3))\/1*18. Is r(u) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -2*b + 0*b + 2 + b. Let v(y) = 3*y - 9. Let s(j) = -4*v(j) - 18*w(j). Let x(i) = -2*i**2. What is x(s(f))?\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 14*g - 44. Suppose -3*s + 6 = -5*j, 2*j = -s + 3*j. Let r(t) = -5*t + 15. Let m(f) = s*i(f) - 10*r(f). What is the units digit of m(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 2\/17, -2\/13, -121029, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 297? (a) -0.2 (b) -2\/7 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p + 5*p - 22 - 3*p - 66*p**2.\nAnswer: -66*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**(1\/3)*g*g)**(10\/11))**(19\/3))**(3\/16) assuming g is positive.\nAnswer: g**(665\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4528554 divided by 2391?\nAnswer: 1894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1111101000000001000100 (base 2) to base 15\nAnswer: 55d9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h + 7. Let n be l(-7). Let f be -2 + 9 + 1 + n. Let x = f - -7. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -2*l**3 + 25*l**2 + 11*l - 7. Let f be ((-8)\/(-6))\/(4\/66). Let j be b(f). Let h = 13252 + j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7383.4897 rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001189 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, 1606, -4, 0?\nAnswer: 1606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 429364 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2 - 1846268*n - 426088190978.\nAnswer: -2*(n + 461567)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 78748, 3, -2, 4, -1 in decreasing order.\nAnswer: 78748, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 159 divide 10824457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 77*a**2. Let x(v) = 1949*v**2. Calculate x(q(u)).\nAnswer: 11555621*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 38 - 19. Suppose 3*z = 5*j + 55, 3*j + 2*z + 33 = -z. Let x = 21 + j. What is the remainder when v is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 3*i**2 + 33 - 69 + 36. Let j(a) = -a**2. Give c(j(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 4*z**2 - 47*z + 252. Give s(7).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(s**(6\/5)*s))\/s)\/((s*s**(-7\/3)*s)\/s))\/(s*(s*s**0\/s)\/s*((s**5*s)\/s)\/s)*(s**(2\/9)\/s)**(2\/21)\/(s\/((s\/s**2)\/s))**34 assuming s is positive.\nAnswer: s**(-14437\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 491*f - 10 + 3 - 28*f**2 - 494*f to the form x*f**2 + k + o*f and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7b5a3 + -1086?\nAnswer: -7c659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*v - v + o, -2*v + o = 1. Let f(p) = -2*p + 6*p + v + 2. Let i be (-1)\/(-3) + (-52)\/(-12)*-1. What is f(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6873.3 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = -2*l - c, -5*l - 26 = 2*c + 135. Let z = 34 + l. Suppose -z*d - 27 = -5*d - 3*s, -4*d - 2*s = -58. What is the greatest common divisor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyipiyuwyppu. Give prob of picking 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -119150552 - 4?\nAnswer: -119150556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = 3*g - g. Suppose -62*r + 56*r + 768 = g. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4691\/4 + -1173. Which is the closest to p? (a) -5 (b) 0.2 (c) 2\/111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 220 by 242574.\nAnswer: 110\/121287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4*(-5)\/4*6\/(-15). Solve -3*h + 2 = -4*w, 0*h - 5*w = -y*h - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/18)\/((-33)\/(-18)). Is 1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*w + 16*w + 5. Let i(l) be the first derivative of 0*l**2 + 9\/5*l**w + 3 - 3\/2*l**4 - l**3 + 0*l. Factor i(b).\nAnswer: 3*b**2*(b - 1)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-1*(sqrt(114) + (sqrt(114) - 3*sqrt(114))*3))\/(-4*(sqrt(600) - (sqrt(600)*2 + sqrt(600)))*1).\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and -2942.\nAnswer: -1176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -551173\/16146 - -1176\/299. Let t = x + -116\/27. Let q = t + 35. Sort -3\/14, 1, q.\nAnswer: -3\/14, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 94 and 680278?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5263 (b) 1\/2 (c) 65884\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1592 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 145592 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 112902174 divided by -298683.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0, -6, 3 in descending order.\nAnswer: 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 18 = -2*q - 2*q, j = -5. Let u = -245 - -248. What is the closest to q in 0.3, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ggguuuugggguu.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-42*x - 2*x - 7*x)*(23 + 14 - 6) to o + h*x and give h.\nAnswer: -1581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/7, -3, -12\/5, -7, 54.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -9615, -43 in increasing order.\nAnswer: -9615, -43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Subtract 793397567 from -1.\nAnswer: -793397568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -52 - -55. Let j(y) = y**3 - y + 1. Let s(g) = 26*g**3 - 3*g + 8. Let u(d) = w*j(d) - s(d). Find the first derivative of u(a) wrt a.\nAnswer: -69*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**2 + 15*f + 21. Let t be l(-15). Is t equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 314423?\nAnswer: 314423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -314 - 561 + 3*k**2 + 975*k - 635*k - 541 + 1073*k.\nAnswer: 3*(k - 1)*(k + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2570 is divided by 1264.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 833*f**2 - 1666*f**2 + 826*f**2. Let q(u) = 68*u**2. Give q(i(z)).\nAnswer: 3332*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kikk when four letters picked without replacement from {k: 11, i: 5}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of -3*a**5\/20 - a**4\/3 - a**3\/3 + a**2\/2 - a. Let i be o(-2). Calculate the greatest common divisor of i and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 243844*a**3*j**4 + 206316*a**3*j**2 - 3*a*j**4 wrt j.\nAnswer: 5852256*a**3*j - 72*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from qgbgqlqqgqd.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25 + -16. Let k be (-12)\/(-2) - 3\/(-4 + 7). Solve -k*i - 13 = -4*o + 4, -a = -3*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 421220 and 1811246.\nAnswer: 18112460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16497649 to the nearest integer?\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 9 = 0, 20*v - 24*v - 17 = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -70.1 + 67. Let o = i - -3. Let j = 13 - 9. Sort j, o, -5 in increasing order.\nAnswer: -5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -10*a. Let p(f) = -22*f. Let t(l) = 2*p(l) - 5*s(l). Let x(i) = -i. Calculate t(x(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 25 + -23. Let d = v - -36. Let q = -38.1 + d. What is the third smallest value in q, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 5:03 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 21 = -b, 1872*b + 294 = 1858*b + 6*h for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3260807 is divided by 1295?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -294 + 255.8. Let b = 23.6 - w. Round b to the nearest integer.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 380 >= 380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 84 and 45948.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/5 + 1714*h**2\/5 + 74630*h + 505750.\nAnswer: 2*(h + 7)*(h + 425)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0044 - -866.9956. Let s = 874.51 - g. What is s rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of y**3\/3 - 7*y**2\/2 - y + 48. Determine w(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -102 - -112. Suppose 0 = 4*o + w + 2*w - 8, 4*w = 5*o - u. Solve -o = -4*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 4*z + 2*j, z - 5*j = -74 + 89. Which is the smallest value? (a) -1.46 (b) -2\/7 (c) -0.1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 112\/12*135\/10. Let x = o + -125. Which is the fourth smallest value? (a) 4 (b) x (c) 8\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, y: 4, t: 4}. What is prob of picking 2 f and 1 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add 26.8 and 59639.\nAnswer: 59665.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -19*o**3 - 593*o**2 - 2029*o + 399211598 wrt o?\nAnswer: -57*o**2 - 1186*o - 2029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 12 - 2*r**3 - 52*r**2 + 52*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - 38 - (-16 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r - q = -0*q - 4, -q - 474068 + 474048 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/55660 and -73\/640090.\nAnswer: 1280180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 + (-5)\/((-15)\/36). Suppose g = a + 1. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1875, -12622, -41111, -96210, -186787, -321710?\nAnswer: -509847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 + 4*v + 10. Calculate the remainder when 116 is divided by f(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2 - 0.3. Let w = 35.8 - 67.2. Let q = -31 - w. What is the closest to a in q, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -60*g**3*n**2 + 5*g**3*n - 157*g**3 - 1861*g**2*n**2 - 842*g**2*n - 3*n**2 wrt n.\nAnswer: -120*g**3 - 3722*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -57 + 156 - 98 - -47?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -202 - 0?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 58\/9 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*g + 28*g + 112 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 4 - 4077*m**2 + 5111*m**2 as i*m + f*m**2 + u and give f.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0\/(-3)*1\/(-2). Let i = 10 + -9. Let c be (i - 2\/4)*6. Solve h = c*l - 3*z - 9, 4*z = -3*l + 9 - 35 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 217999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 687 minutes before 5:50 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5402, 10969, 16536, 22103, 27670?\nAnswer: 33237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 6*o - 17. Let q(c) = 95*c + 9 - 27 - 88*c. Let p(d) = -6*i(d) + 5*q(d). Let a be (-4)\/6 - (-8)\/12. What is p(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - 1)*3\/(-2). Suppose 4*v - n = 341. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ghphp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 0*s = 15. Suppose 0 = -2*y + 2, -4*r - s*y + 9 = -r. Suppose 4*a**3 - 4*a - 2*a**2 + 2*a**r - 2*a**4 + 1 + 1 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, 0, 27, -165, -6 in increasing order.\nAnswer: -165, -6, -3, 0, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -51, -67, -93, -129?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*q = 35*q - 21. Let c = 23 + q. Let g(t) = -t**c + 6*t**2 - 3*t**2. Let r(a) = 6*a**2. Calculate r(g(i)).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -6*i + 1153 + 2*i + 596*i**2 + 2*i + i - i wrt i?\nAnswer: 1192*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 12006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 43, -1, 2 in decreasing order.\nAnswer: 43, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (319302\/(-45927))\/(4\/42)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1115684416?\nAnswer: 2, 7, 11, 226397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/2*(-16)\/6. Suppose -y + x + o = 0, -8 = -5*y + x + x. Let a be ((-6)\/(-3) - -1)\/6. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 420832?\nAnswer: 2, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tcb when three letters picked without replacement from {c: 1, b: 1, t: 14}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -33 and -7?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/1818242 and 61\/77372?\nAnswer: 3636484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/3 and 83\/2079504.\nAnswer: 2079504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3 - 2) + (-4)\/(-344)*-133. Let i = q + 2\/43. Let o = -3.3 + 3. Is i at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4165 = -28*u - 4095. What is the units digit of 2\/6*-9*u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 274092, 274136, 274188, 274248, 274316, 274392?\n\"Answer: 4*s**2 + 32*s + 274056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -9 - 7*d**2 + 9. Let a be ((-6)\/(-2))\/((-6)\/(-24)). Let k(u) = -19 - u - a + 31. Give k(l(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(216)\/sqrt(225))\/sqrt(4))\/(sqrt(147) + 2*sqrt(147)*6)*3.\nAnswer: 3*sqrt(2)\/455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20186 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.943 - -0.057. Let m be (-1)\/(-1) + 3 + -1. Let q be m*((-1)\/(-3))\/(-1). Which is the closest to q? (a) g (b) -0.2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f + 2. Let o(y) be the second derivative of 5\/2*y**2 - 1\/3*y**3 - 10*y + 0. Calculate -4*o(p) + 10*w(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -29 + 2 - 27 + 2*r in the form m*r + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -442, -98, 2, -2 in decreasing order.\nAnswer: 2, 0, -2, -98, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 91 + 22 - p - 18 + 11.\nAnswer: -p + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1, 12, 31, 58, 93, 136, 187?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 q, and 1 d when three letters picked without replacement from cqjdmgq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 1 - 14*d + 4 - 4. What are the prime factors of t(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -130883, -130891, -130901, -130913?\nAnswer: -130927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 14c07 (base 14) in base 4?\nAnswer: 30220213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1440 and 245?\nAnswer: 70560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1608 is divided by 1582?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify q\/(q**(1\/4)*q)*(q\/q**(-1\/5))\/q*q**(-1\/5)\/((q*q**(3\/2)*q)\/q*q) assuming q is positive.\nAnswer: q**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum 2944418723 and 0.2.\nAnswer: 2944418723.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 1282 divide 3137320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 19, 32, 31, 10, -37, -116, -233, -394?\n\"Answer: -q**3 - q**2 + 23*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1628.07222 + 1628. Let q = 0.074 + o. Round q to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 849 + -845.41. Let v = -3.6 + q. Which is the closest to 0? (a) v (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.51? (a) 1\/26 (b) -1\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*v**5 - 62*v**4 + 328*v**2?\nAnswer: -180*v**2 - 1488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 330904 and 29545?\nAnswer: 1654520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1\/((12\/(-9))\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 41 + 16 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-12)*m)\/m*m**15*((((m**(-2\/13)*m)\/m)\/m)\/m*m*m*m)\/(((m**10*m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121917384 is divided by 227?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 9}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((88\/66)\/(7\/3))\/((-38)\/(-7))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46730 - 66166 = -24*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5339?\nAnswer: 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1958 - 379. Let m = 2590 - p. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 337456.\nAnswer: 2, 7, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20 + 4*s**2 - 10 - 30*s - 12 - 13 + 49.\nAnswer: 4*s**2 - 30*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98 = 12*y - 70. What is the greatest common divisor of 238 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 29, -0.1, -2, -3\/29, 2\/9, -2\/5, 5\/6?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -198 - -238. Suppose 0 = 9*o + o - v. Calculate the remainder when 11 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 114*s - 3 = -117*s, -3*h + 11*s = -45 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 8, e: 2, c: 1, u: 5}. Give prob of picking 1 u and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3566029?\nAnswer: 3566029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (v**2 - v**2 - v**4)*(-v - 11*v - 4*v).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(120)*1 + sqrt(120) - sqrt(120))\/sqrt(8))\/(sqrt(125) - -2*sqrt(125)) + -2*(2 + sqrt(192) - sqrt(48)))**2.\nAnswer: 952*sqrt(3)\/15 + 15361\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*x + 7*x + 16. Let a = -2 + 5. Is x greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1345693, 5382209, 12109735, 21528271, 33637817?\nAnswer: 48438373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 986 a factor of 1322226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 31605641, 63211282, 94816917, 126422546?\nAnswer: 158028169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 166 + -170. Let y be 36*(0 + o)*9\/(-12). What is the greatest common factor of 81 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (((-49)\/28)\/7)\/(46\/(-16)). Let g = 0.1 - 0.2. Let q = -0.2 - g. Sort a, q, -2 in descending order.\nAnswer: a, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -57, 38 in ascending order.\nAnswer: -57, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 4:18 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**2 + 2*y - 2. Let f be k(-2). Let d be (88\/(-12))\/(f\/24). Suppose -2*t - 2 = -d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 685546284 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4692 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from txrxqxxxqrrx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-308)\/(-2079)*54\/12. What is the closest to -0.1 in 132, -2\/19, -0.4, w?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/(-5))\/((-3)\/10). What is the nearest to 1\/4 in -4, s, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -343\/3184 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 199528 is divided by 49402?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*b + 12*b + 191*b**2 + 8*b.\nAnswer: 191*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*l + 3. Let r(y) = -18*y. Let c(v) = v. Let z(t) = 15*c(t) + r(t). Let n be z(l). Is 4 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.06 and -462.4.\nAnswer: 27.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -104301511 - -3?\nAnswer: -104301504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 - 18*l**2 - 29*l + 58. Let b be f(20). List the prime factors of b + 1*(6 + -3).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(912)*-3)\/(sqrt(243) - 2*sqrt(243) - sqrt(243) - sqrt(243) - sqrt(243) - sqrt(3)).\nAnswer: -60*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 30749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -644351, -1288587, -1932713, -2576729, -3220635, -3864431, -4508117?\nAnswer: -5151693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**2 - 2*x**2 + 5*x**2)*(139*x**2 - 71*x**2 - 71*x**2 - 2*x).\nAnswer: -6*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 40504606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -34588068 divided by 6?\nAnswer: -5764678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -125520 (base 9) in base 2?\nAnswer: -10010100111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -3*q + 14. Let t be w(4). Let -9*y**t - 4*y**2 - 10 + 21*y**2 - 5*y - 3*y**2 = 0. Calculate y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2170 + -2169.99981815. Round d to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 6265945029 and -1.3289?\nAnswer: 6265945030.3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1964 - 1150. Let k = 1437 - n. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -680 <= -681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 + 2*f + 3. Let r be n(3). Let o(h) = 22*h**2 + h + 3. Let b be o(-3). What is the greatest common factor of b and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*p - 157*p + 45*p + 31*p + 56*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 157721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -298 and -280 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in 0.082, -1\/6, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (18 - -2) + 32 + -73\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 4*g = -4, -10*g + 1 = v - 11*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:30 AM and 7:20 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 37*a + 2682. List the prime factors of v(74).\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 454231.\nAnswer: 454231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14918 - 955. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 103574 (base 8) to base 6\nAnswer: 424324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*-1*4 - sqrt(117))\/(sqrt(1296)\/sqrt(4)) - (3 + (sqrt(832) - (sqrt(832) + 1 + -3))**2*-4).\nAnswer: -5*sqrt(13)\/6 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -1, 1.3, 2\/3, -6\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 7) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vavvvvvvvvvv.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 4887346*a. Let m(u) = 5*u**2. What is m(o(h))?\nAnswer: 119430754618580*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3488, 7087, 10686, 14285, 17884, 21483?\n\"Answer: 3599*r - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7286160*d*u**2 + d*u - 2*d - 1944*u + 82 wrt u?\nAnswer: -14572320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (401 - 408) + (32 - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 30 - 2274 = -3*t, -5*t - 5685 = -5*d. What is the highest common factor of d and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 6, z: 12}. What is prob of sequence zz?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**2 - 4*d - 23. Let q(a) = -a**2 - 3*a - 24. Let t(b) = -5*i(b) + 4*q(b). Let p be t(-5). Let l(z) = -z**2 + 5*z - 5. Determine l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is a8 - -c5?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a + 29 + 86. Let v = 24 + a. Let h(u) = -4*u**2 - 2*u + 1. Determine h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1397 is divided by 127.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8000910?\nAnswer: 2, 3, 5, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1380, 4, -8?\nAnswer: 1380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (-8)\/(4 - -4) + 1*1358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y**(-4)*y)*y*y*y\/(y*((y\/((y*y*(y**(-24)*y*y)\/y)\/y))\/y)\/y))**(-5\/12))**23 assuming y is positive.\nAnswer: y**(575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4721 - 1516. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000028176 rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of -k**4\/66 + 290*k**3\/33 - 21025*k**2\/11 - k + 57. What is p in f(p) = 0?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/4 + 16 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 25, 42, 47, 40?\n\"Answer: -6*v**2 + 35*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -27a7a (base 11) in base 6?\nAnswer: -504412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6951262 - 991062277130\/142573. Let y = b - -3559192400\/998011. Let l = -3572 + y. Which is greater: l or -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 4507594481, 4507594482, 4507594483?\n\"Answer: q + 4507594480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -135*k - 48 = -138*k. Is k <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - n + 3 - 11 = 0, -4*j = -n. Let m = -15 - -33. Let w = j + m. Calculate the greatest common factor of 119 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 661500 and 1176.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/13? (a) 17 (b) 11\/13 (c) 2\/25 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 7*s = 77 - 8, 0 = -2*b + 2*s - 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 - 21. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84935115?\nAnswer: 3, 5, 433, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 e and 1 g when four letters picked without replacement from {y: 7, j: 3, g: 6, z: 1, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 5*d**2 + d - 6. Let x be j(-6). Let v(r) = 3*r**2 - 2*r - 1. Let p be v(-1). Suppose 0 = p*g - g - x. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -39*(35546\/10 - (-3)\/(-5)). Let p = 223763 + i. Let k = -51657 + p. What is k rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*a + 26*a = 261706. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 - u + 8. Let c be (-20 + 15)*18\/15. What is g(c)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -4) + (-43 - -40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 21864838 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 + 3*z**2 + 4. Let d be 174\/15 + 4\/10. Suppose 0 = 3*a - 7*a - d. Give g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-2\/7))**7\/((a*(a*a*a**(1\/14))\/a*a)\/(a\/((a*a**(-1\/7))\/a))))\/((a**(1\/3)\/(a*a**(2\/13)*a))\/(a**(-8)\/a**(1\/2))) assuming a is positive.\nAnswer: a**(107\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 104552079 and 270370.\nAnswer: 1045520790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -7*j**2 + 0*j + 0 - 2 - 3*j + 5*j**2 + 0. Determine c(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -59442 take away -29?\nAnswer: -59413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 586 (base 11) to base 16\nAnswer: 2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 160 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:17 PM and 8:44 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -9, 3, -5\/53, 0.13 in ascending order.\nAnswer: -9, -5\/53, 0.13, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4 and 1924?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = 425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 477 - 718. Let r = n - -1201\/5. Which is the third biggest value? (a) 2 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38715233729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (180\/(-600) - (0 - 76\/(-80)))*(-240)\/3075.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 21, 34, 53, 78, 109?\n\"Answer: 3*y**2 + 4*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -24, 1, 2\/9 in decreasing order.\nAnswer: 1, 2\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 2*p - 2. Let v be h(5). Let m be (-8)\/v + (-6901 - -2). Round m to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4624939 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4733442*t + 2574526?\nAnswer: 4733442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -984500 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 955, 3818, 8593, 15280, 23879, 34390, 46813?\n\"Answer: 956*d**2 - 5*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 4442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*k = 360 - 296 + 456 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7\/593 or 1\/3?\nAnswer: -7\/593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -91 - -51. Let v be u\/(-6) - (-2)\/6. Let f(c) = -358*c + 23. Let p(k) = 307*k - 21. Let g(o) = 6*f(o) + 7*p(o). Give g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, -1\/751, 1?\nAnswer: -1\/751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (u + 1 - 1 + 0 + 0 - 2*u + (-2*u - u + 5*u)*(-3 + 0 + 1) + 4 - 4 - 2*u)*(-u - u + u) + 19 - 19 + 7*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -171 + 197 + 867*q + 889*q - 1782*q - 26.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 199481.\nAnswer: 19, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from {r: 2, y: 3, k: 2, s: 2, d: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -93704646 by -74487.\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -763*w + 770. Determine n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -3948267.22 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 487 and 852.\nAnswer: 414924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 1)*(189*g + 21*g + 1083*g).\nAnswer: 1293*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -29*l**2 - 167*l + 20. Determine d(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 11*k**3 + 18*k**2 - k + 7. Let l(r) = -r**3 + r**2 + r. Let u(m) = h(m) - 2*l(m). Let t(p) = 4*p**3 + 5*p**2 - p + 2. Give -7*t(v) + 2*u(v).\nAnswer: -2*v**3 - 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = 4*a + 5, -3*a + 5 = -0*a - 5*q. Let g(l) be the third derivative of -l**6\/120 + l**5\/60 - l**4\/24 + l**3\/6 - 55*l**2. Give g(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 77517 and 1425600.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 13 - (2 + 15) - (-2 - (-10 - -3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5659 - 3275. What is the highest common factor of l and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13876 - -13880. Put -2, 187, -0.2, z in decreasing order.\nAnswer: 187, z, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 PM and 9:47 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2c (base 13) in base 14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72099.\nAnswer: 3, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9518 is divided by 1522.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 + -450102?\nAnswer: -450111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1283064, 1283061, 1283056, 1283049, 1283040?\nAnswer: 1283029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*u = -38*u + 237. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1177.6 - 9.5?\nAnswer: -1187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -763532236 divided by -190883059?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12568018 is divided by 158.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -30 (base 9) to base 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*h**2)*(-13*h - 13*h + 45 + 24*h) - 4*h**2 + 5*h**2 + 2*h**3 + 3*h**3.\nAnswer: h**3 + 91*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -240005, -239977, -239949?\n\"Answer: 28*i - 240033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 2*b. Let d(g) = 49*g**2. Give y(d(l)).\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171) + 2*sqrt(171)*-2)\/sqrt(9).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*t + 20 = 12*t, -9 = a - 3*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -300 - -426. Is 34 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 12.65 and 3.\nAnswer: 15.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1577*x + 16492 - 79572 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 20\/75 - ((-84)\/15 - -6). Let t = 4.1 - 0.1. What is the third smallest value in c, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 + -29647561.\nAnswer: -29647557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + -102?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -82892895\/512 + 161900. Calculate the common denominator of d and 67\/512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(1\/49)\/k*k**6*(k**(-2\/17)\/k)\/(k*k*k**(-28)) assuming k is positive.\nAnswer: k**(24909\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 685*g - 7. Let z(q) = -1027*q + 10. Let t(f) = -7*n(f) - 5*z(f). Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*m + m - 2 + 3*m**2 + m**4 - 4*m**2 to the form a*m**3 + k*m**4 + u*m + v + f*m**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*((t*t**(-1\/18))\/t)\/t)\/(t*(t\/t**17)\/t) assuming t is positive.\nAnswer: t**(287\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 11239518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 126240885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n - 4 = 6*n. Let b(j) = j**2 - j + 3. Let f(x) = -x**2 + x - 4. Let u(v) = 6*b(v) + 5*f(v). What is the tens digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 + -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b**(-5\/3)\/b)\/b)\/b**(-8))\/(b**(1\/6)\/b**(2\/11)))\/((b*b**(3\/4)*b**4)\/(b**(-5)\/b**(-1))) assuming b is positive.\nAnswer: b**(-713\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6.1 + -3.1. Let v = 0.89 - -0.11. Which is the third biggest value? (a) -2\/7 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 - 6)\/((-2)\/9*(0 - 3)). Let b(v) = -v**3 - 5*v**2 + 8*v + 17. Calculate b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b = 4*z - 96, 0 = -4*b + 3*b. Calculate the lowest common multiple of z and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -413*c + 310. Let d(z) = -1653*z + 1242. Let b(p) = 2*d(p) - 9*f(p). Find the first derivative of b(y) wrt y.\nAnswer: 411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmyxyyyyx. What is prob of sequence xmm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 155362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (25\/30)\/(4\/24). Let v = 0 - -12. Suppose r - v = -3*r. Put 2, r, t in decreasing order.\nAnswer: t, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 186 = -45*j - 174 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 279 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 16127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 6 + 4)*(t - 704 + 268 + 242).\nAnswer: -8*t + 1552","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = w - 0. Let p = 2621 + -2620.8. Which is the closest to 2? (a) p (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 156534530 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/2 (c) 202501 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7699861 is divided by 1300.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 680*j - 165360 = 674*j. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 60 + -60.0954. What is g rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a - 2*a - 6*a)*(-6*a**2 + 5*a**2 + 34*a**2).\nAnswer: -132*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3447 + -3426. Let q(g) = -19*g + 396. Determine q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 634.346678 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 901415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/2, 1\/4, 10.1, 2, -0.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r**3\/4 - 9*r\/4 = 0. Calculate r.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -17799.6819 rounded to the nearest one hundred?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.01 and -78650.\nAnswer: -78650.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from {s: 2, n: 1, h: 1, j: 5, t: 7, q: 4}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 8*l - 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -810102 - -699928009\/864. Find the common denominator of s and 143\/120.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*p - 16 = -43 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + m = 0. Let t be -3*(-1 - m\/1). Let w(d) = 7*d**3 + d**2 + d - 5. Let s(l) = -4*l**3 - l**2 - l + 3. Let h(c) = -5*s(c) - 3*w(c). What is h(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 693007869 to the nearest integer?\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 - 10 = -27*z. Suppose 3*t**z - 12 + 64274*t - 7*t**2 - 4*t**3 - 64254*t = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1197 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-28)*14\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2818*c**2 - 15904*c - 27811240 wrt c.\nAnswer: 5636*c - 15904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1591*f**3 + 26 wrt f.\nAnswer: 4773*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/10, -1\/2, 31, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 96 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 - -13. Let a = t + 6. Solve -3*s = -7 - a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 * 0.156665\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -8*g**3 + 2*g**2 - 4*g + 1. Let t(w) = -9*w**3 + 3*w**2 - 5*w + 1. Suppose -s + 9 = -44*p + 47*p, 2*p = -5*s - 20. Calculate p*j(u) - 4*t(u).\nAnswer: -4*u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(12\/5)*(-11768)\/(-169165)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(13)*6*-1.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*j**2 - 23256*j + 1170300.\nAnswer: -3*(j - 50)*(j + 7802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2563 - -840. Let h = 1853.1 + l. Round h to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**2 + 73*s - 1205. Calculate x(34).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 12\/186 - (-1720)\/248. Suppose -3*j + p*j = 3*n - 1835, 0 = 3*n - 5*j - 1831. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4501502167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8 and 5617?\nAnswer: 44936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15, 11, 9, 9, 11, 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 2 = 0, 5*f - 1238 = -2*q + 363. Calculate the remainder when f is divided by 63.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -319 - l**4 + 1036054*l**2 + 2*l - 1036056*l**2 - 782 to the form k + c*l**2 + i*l + h*l**3 + y*l**4 and give k.\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert a227 (base 11) to base 8.\nAnswer: 32415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3469830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 - 14*u**2 - 119*u + 4. Determine i(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = 4*f + 10, -48 = 4*l + 2*f - 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-160))\/(63\/(-210)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -17954*d + 958. What are the prime factors of x(-1)?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*n + n**4 - 151 + n**2 + n**3 + 151 to g*n + y*n**4 + d*n**3 + t*n**2 + l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 7958.072 meters in millimeters?\nAnswer: 7958072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.022 - -30.978. Let m = c + -31.3. What is the third biggest value in m, 0.2, 2\/13, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 26 = 3*l + 2, -5*l = -3*m - 30. Suppose 2*b - b - 2 = 0. Suppose -p + 21 = b*p. Solve -p*h + l = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -4*r**2 - 21*r + 4. Let l(u) = 4*u**2 + 22*u - 5. Give 4*l(a) + 5*x(a).\nAnswer: -4*a**2 - 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-8)\/(-6))\/2*24. Let z = -1 + l. Let u = 1 + z. What is the lowest common multiple of 8 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 914279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27362, -54187, -81008, -107825, -134638?\nAnswer: -161447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-2)\/(-3)*(-444)\/(-16) and -99\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qvqqwqwqqvqwvw. Give prob of sequence wvvw.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 2 + 2 = 0. Let r(t) = 11*t + 8. Let q be r(6). Suppose 2*f + q = x*f. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102433309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2\/3 - 14*w\/3 - 4.\nAnswer: -2*(w + 1)*(w + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 + 2177?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3*n - 20 = 0, -3*s - 2*s + 69 = 2*n. 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 -17936000 rounded to the nearest one hundred thousand?\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -7250, -15145, -23040, -30935, -38830?\n\"Answer: -7895*h + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2905934967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (17 - 0) + 3053 + -3109?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate -13749704.5557 - -1062.\nAnswer: -13748642.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -90 and -3.58787.\nAnswer: 322.9083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c - 2*c**2 - 6*c**2 + 4*c**2 + 3*c**2. Let w(k) = -4*k**2 - 4*k. Let f be (1 + 0)\/(-1 + 0). Give f*w(v) + 6*h(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 4 = -6. Calculate the smallest common multiple of i and ((-99)\/18)\/((-3)\/6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 + 23*u**2 + 28*u - 347. Calculate a(-21).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27, -37, -59, -99, -163, -257, -387?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19*n**4 - 10855851*n**3 + 245289952*n wrt n.\nAnswer: -228*n**2 - 65135106*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 96 = 154. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1735.\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18 - 29. Let v = u - -19. Solve -a = -5*a + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:36 PM and 9:36 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 + 8. Let o(v) = -133. Let m(r) = -533. Let f(d) = m(d) - 4*o(d). Let n(h) = 3*h**2 - 3. Give b*n(g) - 6*f(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**2*h*h**2)**(-48)*(h**(-1))**(6\/13)\/((h*h\/((h\/((h**5*h)\/h*h)*h)\/h))\/h**3) assuming h is positive.\nAnswer: h**(-3178\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, n: 4, q: 1, j: 3, t: 1, k: 2}. What is prob of picking 1 z and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 - 80?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -1328*f + 1313*f = -45 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 145021?\nAnswer: 145021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of 120*r**7\/7 + 5*r**4\/12 + 65*r**2\/2 + 4*r + 67. Find the third derivative of j(q) wrt q.\nAnswer: 43200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -1 + 2*c + 5*c + 7*c**2 + 0*c**2 - 5*c. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 14 and 13661.48.\nAnswer: 191260.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the third derivative of -y**8\/280 - y**7\/84 - y**6\/180 + y**5\/60 - y**3\/6 + y**2. Let z(x) be the first derivative of m(x). What is f in z(f) = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3931 divide 244901300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72*x + 32*x + 1527548 = -448812. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -415 + 414.801. Let q = -9.059 - w. Round q to 1 dp.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -333.24 - 29.33986.\nAnswer: -362.57986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 2*q - 1268 + 1272 = 0, -5*q = -3*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4634*y + y**2 + 71*y**2 - 4*y**3 - 4958*y.\nAnswer: -4*y*(y - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3271926 is divided by 5261.\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**2 - 10*p - 14. Let w be o(-8). Suppose -60 = -7*m + 3*m + 5*v, -m + 18 = -w*v. Calculate the lowest common multiple of m and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**2\/4 - 67*d\/2.\nAnswer: -d*(d + 134)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate f**2*g - 2566*f**2*s - 5*f*g*s - 13*g wrt g.\nAnswer: f**2 - 5*f*s - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -301*k + 1508. Let n be s(5). Which is the second smallest value? (a) 1 (b) -3 (c) 19\/2 (d) n (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -72815917 and -0.237.\nAnswer: -72815917.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 28730625968+-12218\nAnswer: 28730613750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + -2 + -8 + (4868 - 0). Suppose -5*g + y = 2*c, 3*g - 1685 = c + 1226. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -9434, -18538, -27642, -36746, -45850, -54954?\n\"Answer: -9104*l - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -82384 and -0.0922.\nAnswer: 7595.8048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 626 - 3*o - 348 - 278. Let q(x) = -82*x**2 - 5*x. Give q(l(p)).\nAnswer: -738*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-18)\/110*2\/(-6). Suppose 0 = -2*x - o + 21, 3*x + 7*o = -1 + 38. Suppose -m - 3*y = x, 5*m + 12 = -3*y - 2. Are m and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 2 = 2*w - w, 0 = -3*m - 4*w - 8. Let j be 15*(-6)\/4*(-4)\/6. Suppose 0 = 5*l - 3*q + 14, 2 + j = -5*l + 4*q. Put -2, m, l in decreasing order.\nAnswer: m, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nixg when four letters picked without replacement from {i: 7, m: 1, x: 5, g: 1, n: 5}.\nAnswer: 175\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u**2 + 6*u + 6. Let b be a(-3). Suppose -24 = -2*v + b*c - 2*c, -2*v + 3*c + 20 = 0. Let i = 92 + -98. Sort v, i, 2.\nAnswer: i, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 256*u + 1690 = 154 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 45413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-9*z**2 + 0*z - 3 - z + 0)*(-2*z + 0*z + 4*z)*(6*z - 11*z + 7*z) as l*z**4 + p*z + b*z**2 + j*z**3 + o and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2.862275 hours in seconds?\nAnswer: 10304.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -2*g**3 - 5*g**2 + 5*g. Let p(a) be the second derivative of -a**5\/20 - a**4\/4 + a**3\/2 + a. Give -5*p(r) + 3*u(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2034520 + 2?\nAnswer: 2034522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/9, 4, 40, -52.\nAnswer: -52, -4\/9, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is m in -64 - 24*m**2 + 128*m**3 + 56*m**2 - 15*m**4 - 16*m**5 - 256*m + 11*m**4 = 0?\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -62 = d + 4*o - 31, -497 = 26*d + o for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1771, 1492, 1019, 346, -533, -1624?\n\"Answer: -a**3 - 91*a**2 + a + 1862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - -112200011211011111?\nAnswer: 112200011211011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.98 - -1.106. Let x = -0.026 + q. Let t be (-2)\/(-8) - (0 - 0). Which is the nearest to x? (a) 3 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.408 times 13943?\nAnswer: 47517.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.837098 meters to centimeters.\nAnswer: 483.7098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -219 divided by 4?\nAnswer: -219\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 434 or 139757\/322?\nAnswer: 434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08 + -1876?\nAnswer: -1875.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2545.263661 rounded to one decimal place?\nAnswer: -2545.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23719877 divided by -9.\nAnswer: -23719877\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*h + 9104 = 91*h + 8714 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 3*o**2 + 4*o + 5. Let l be p(4). Suppose 0 = n - 2*q - 25, 0 = -0*n + 2*n - l*q - 55. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 63 + (-33 - (3 - 23) - (-9 + -2)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22.4*-91.\nAnswer: -2038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 712.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 0.01 (b) -11 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1492676702.\nAnswer: 2, 11, 67848941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of z**8\/10080 - z**5\/10 - 38*z**2. Let h(u) be the third derivative of k(u). Let m(w) = 10*w**2 + w. Determine m(h(j)).\nAnswer: 40*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 14*i**2 - 10*i + 90. Let t be c(6). Suppose l = 320 + t. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-7)\/(-105)*11 - 2\/6. Let t = -6 - -3. What is the biggest value in -0.2, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 857075, 1714646, 2572217, 3429788, 4287359, 5144930?\n\"Answer: 857571*r - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1111100111111111101 (base 2) in base 16?\nAnswer: 7cffd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 2 + 2 = 0. Let z(s) = -3*s + 1. Let l be z(m). Suppose -2 + 6 = l*b. What is the highest common factor of 9 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 + 3\/6*0. Suppose x*m = -2*m - 24. Let y be (-22)\/(-4) - m\/(-4). Solve y*p = -g + 9, p - 7 = -3*g + 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3\/21)\/((-3)\/(-6)). Let v = -0.4 + 0.7. Let j = -0.2 - -0.4. What is the nearest to l in j, -1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 18, u: 1}. Give prob of picking 2 q.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 7611.01 millilitres in litres?\nAnswer: 7.61101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 342\/19*((-10640)\/(-84))\/95.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-48))\/(-1*2\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 1289*d + 3. Let a be v(0). Let k(x) be the first derivative of 0*x + 17 + 11\/2*x**2 + 11*x**a. What is the second derivative of k(c) wrt c?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(108)*2 + sqrt(108) + 2 + (sqrt(108) - (-2 + -2*sqrt(108))) + 5 + 4)**2.\nAnswer: 1152*sqrt(3) + 4144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/7 of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 780, 689, 452, -3, -748, -1855, -3396?\n\"Answer: -12*i**3 - i**2 - 4*i + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-2\/11)*s)\/s*s\/s**(-5))\/(s*s\/((s\/(s**(-3)*s))\/s)*s\/((s**(-5)\/s)\/s))*s**(-1)\/s*s*s**(-4)*(s\/((s\/(s**(-5)*s))\/s))\/s**(2\/7) assuming s is positive.\nAnswer: s**(-806\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-8)\/6)\/((-8)\/12). What is the third derivative of z**5 - 3*z**2 - 6*z + 6*z + 4*z**c wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -904*l**2 - 29*l - 11396. Let a(r) = 226*r**2 + 8*r + 2849. Let b(w) = 15*a(w) + 4*k(w). Differentiate b(j) wrt j.\nAnswer: -452*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 656 is divided by 386.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 - 3*o**2 + 3. Let f be g(0). Solve -f*t = t + 3*w - 21, 4*t - 6 = 2*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -80, -259, -590, -1109, -1852, -2855, -4154?\n\"Answer: -6*h**3 - 40*h**2 - 17*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 8 = 0, 5*z - 9*z = w - 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i. Let f(s) = 74*s - 13. What is f(o(z))?\nAnswer: -74*z - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/8 - (-18)\/56. Let l(p) = -p**3 + 6*p**2 - 6*p - 5. Let z(v) = v. Let r(o) = -l(o) - 2*z(o). Let x be r(5). Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*(-2)\/6*(-3)\/(-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 PM and 10:15 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5970805?\nAnswer: 5, 1194161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 5, e: 8}. What is prob of sequence fee?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**3 + 35*n**2 - 27*n + 329. Calculate v(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-6) + 50\/(-4). Let s = 70 + w. Suppose -s = -4*p + 31. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d + 11. Let l(u) = -1. What is -3*l(a) - r(a)?\nAnswer: -a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -a4444 (base 15) in base 16?\nAnswer: -7f20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13, -35, -107, -197, -299, -407, -515?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/(-3)*-15685*54\/180 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (22 - 34 - (-35)\/2) + -1*5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 11, g: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:42 AM and 4:01 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v**4 + 6*v**3 + 12*v**2 - 24*v = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-4)*((-48)\/(-3))\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 61, 246, 553, 982, 1533, 2206, 3001?\nAnswer: 3918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 18 - -1a6?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -15475\/3 > -5159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = 4*c - 24, -4*c + 12 = -4. Let n be (-4)\/3 + 78\/135*3. Suppose -n*i + 0 + 2\/5*i**v = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 + 3*j. Let b(c) = -5*c**2 + 3*c + 6. Let m(u) = -6*u**2 + 4*u + 7. Let d(y) = -7*b(y) + 6*m(y). What is 5*d(l) - 6*g(l)?\nAnswer: l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -4*a**3 - a**2 + 5*a + 5. Let c(g) = g**3 - g - 1. Let d(n) = -5*c(n) - x(n). Let z be d(1). Suppose -5*b + 225 = -z*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/(-14))\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 203279*g**2. Let k(h) = h. Calculate k(o(f)).\nAnswer: 203279*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -90*x - 63*x + 3*x**2 + 153*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z = 9 - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*x**2 - 50 + 50.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -33 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.2 - -2.8. Let k = 1\/41 + -49\/328. Sort k, 0, f in ascending order.\nAnswer: k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of -171*z**5\/4 + 194*z**4\/3 - 539*z - 2. What is the third derivative of t(b) wrt b?\nAnswer: -5130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 131\/197950 and 44\/8025?\nAnswer: 593850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -120121 - 197*n**2 + 120121 + n in the form a*n + t + m*n**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = -4*u + 91 - 9 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 2488*i + 218945. Calculate o(-88).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 80 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -3*z, 5*h - 2*z = 10. Suppose -a - h = -9. What is the smallest common multiple of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(110)\/(sqrt(640)*1) + (1 + 2*sqrt(891))**2 + sqrt(891).\nAnswer: 361*sqrt(11)\/8 + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 - 1.5. Suppose 3*p = 5*p - 6. Which is the smallest value? (a) 3\/2 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1645, 99 in ascending order.\nAnswer: -1645, -3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 57719.\nAnswer: 57719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1068 + 1072.57. What is l rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 270*h - 1308 = -384*h. Factor 12\/5 - 4\/5*t - 1\/5*t**h.\nAnswer: -(t - 2)*(t + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(228)*-1*-3 + 4*-4*sqrt(228))\/(sqrt(144)\/sqrt(3) + sqrt(1452) + sqrt(1452)*-1 + sqrt(1452)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -36 + 36. Let b be -2*2 - i - (3 - 10). Let v(y) = -8 + b*y**3 + 22*y**2 - 4*y - 14*y**2 + 0*y**3 - 4*y**3. Calculate v(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ngaanrqwrrrqr. Give prob of picking 1 w, 1 q, and 1 r.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3500525262.\nAnswer: 2, 3, 13, 44878529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -3 - (4 - -1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 5061 and -2.\nAnswer: 5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 77, 81, 85?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 51*j**2 + 20*j - 21. Calculate the common denominator of (140\/(-178))\/((-32)\/(-56)) - -1 and u(1).\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -66 or -6\/65?\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 4*n - 3*l, -5*n + 8 = -15*l + 16*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 45*u**3 - u**4 + u**4 - u - 3*u**4 - u**4 + 40*u**3 to p*u**3 + b + z*u**2 + r*u + h*u**4 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 - x**2 - x. Let y(t) = -4*t**3 + 10*t**2 - 5*t + 1. Let c(g) = 3*l(g) + y(g). What is the hundreds digit of c(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 17427417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 0.3, -1\/2, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/z**(2\/9))\/((z**(-1\/14)\/z)\/z*z)*((z\/(z\/(z**(2\/13)\/z)))\/z)**(-11\/5))**28 assuming z is positive.\nAnswer: z**(96818\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**2 - p + 18. What is w(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -9*v - 17. Let j be k(-9). Suppose -2*s + j = 2*s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand i**2 + 2*i**2 - 2*i**2 + i**2 + 2 - 2 + (3*i - 3*i + i)*(-2*i + 0*i + i) - 2*i**2 - 4*i**2 + 4*i**2 - 5*i**2 + 4*i**2 + 0*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor m**3\/2 + 2428*m**2 + 178339*m\/2 + 86742.\nAnswer: (m + 1)*(m + 36)*(m + 4819)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47898504 is divided by 349?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -73082 + 52?\nAnswer: -73030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (6593 - 6593 - 40*q**2)*(0*q - 3*q + q)*(3*q + 2*q + 0*q).\nAnswer: 400*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/4 + (-1)\/2. Solve f = 3*q - 2*a - 1, -5*q - 18 = -4*q + 3*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 + 3 = d. Suppose 23 = w + 2*m - 24, 3*w - 4*m - 151 = 0. Suppose 6*n + 344 = w*n. What is the greatest common divisor of n and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 4029257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 25718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -561 - -554. Which is the third biggest value? (a) -0.031 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -3. Let u be 9 + -6007 - (1 + t). What is u rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 15, 47, 129, 285, 539, 915?\n\"Answer: 4*x**3 + x**2 + x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -3978139*q. Let h(p) = 11*p**2. Give f(h(u)).\nAnswer: -43759529*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 157473 (base 9) to base 14\nAnswer: 27695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3963 or 497\/4?\nAnswer: 497\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j + 520 = -4*j. Let n = 582\/11 + j. Factor 0*d + 0 - 2\/11*d**3 + n*d**2.\nAnswer: -2*d**2*(d - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -5*t + 14*t**2 - 22*t**2 + 14*t**2 - 5 - t**3. Suppose -5*x - k = -10, 0*k = 2*x + 2*k - 12. Let w(d) = 6*d - 1. Let b be w(x). Determine r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*i**3*m - 76*i**3 + 151*i**2*m - 2*i**2 + 61*i*m + 3*i - 2*m - 6 wrt i?\nAnswer: -18*i*m - 456*i + 302*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17221.920288 - 17222. What is l rounded to 3 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 4, z: 7}. Give prob of sequence zz.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 u, and 2 h when four letters picked without replacement from {k: 4, h: 12, u: 1, g: 2}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 - ((-68)\/(-34))\/((-4)\/66). Solve -4*w - v = -44 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -4\/79, 8.4.\nAnswer: -10, -4\/79, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sum 236020236.4 and 14.1.\nAnswer: 236020250.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 - -8. Let f be 336\/18 + u\/3. Let q(o) = 5*o + 9. Let d(t) = t + 2. Calculate f*d(b) - 4*q(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 34423*l**2 + 152*l + 6998753 wrt l.\nAnswer: 68846*l + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is 44428 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -196 divided by 312190.\nAnswer: -98\/156095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 122939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, u: 2, v: 1, c: 2, k: 1}. What is prob of picking 1 u and 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-114 - -77 - -39)*41.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 53\/4 of a milligram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 - 5. What is a in -a**2 + 3*a**c + 93 - 93 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 27126 divided by -1233\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of n**4\/4 + n**3\/6 + n**2\/2 + 23*n - 15. What is r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + y - 5)*(7*y**2 + 10*y**2 + 39*y**2).\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4991783197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is (27\/(-63))\/(1\/(-7)) + 63484 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 378 and 924.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 99.68642 years to months.\nAnswer: 1196.23704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 4*z + 12. Let a(u) = 3*u + 4. Let g(n) = 3*a(n) - h(n). Let j(o) = -22*o**2 + 5. Give g(j(d)).\nAnswer: -110*d**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of w**2 + 23022*w - 19254.\nAnswer: 2*w + 23022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 3 = -t. Let l be (5 - 4 - -1)*1. Find the second derivative of -a**l - 4*a**2 + 19*a - t*a wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 16*l**2 + 133*l - 251. Calculate y(-11).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24211090.\nAnswer: 2, 5, 2421109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -25 (b) 0.3 (c) -2.1 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00022187194 rounded to 7 decimal places?\nAnswer: 0.0002219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from chyhcbywbccbwycpcbyp. What is prob of sequence pp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -251001, -502132, -753265, -1004400, -1255537?\nAnswer: -1506676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -9*u**2 - 6*u + 12. Let c be l(-9). What is the common denominator of ((-52)\/80)\/1*-1 and 4\/6 - c\/180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f + 0*f - f)*(-112 + 32 - 37)*(-3*f - 5*f + 6*f) + (-1 - 2 + 5)*(-1 + 1 - 2*f**2).\nAnswer: 464*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -9 + -1 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(2\/3)\/(s\/(s\/(s*s**20))) assuming s is positive.\nAnswer: s**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the third derivative of k**6\/960 - 151*k**5\/40 + 68403*k**4\/16 - 2249*k**2 - 2*k - 2. Let o(f) = 0. Calculate f.\nAnswer: 0, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2022 (base 3) in base 8?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -10 + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/5*7\/((-14)\/2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 11 = 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 703752153 to the power of 1\/3, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -1402*h - 11. Is j(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 + 3*v**2 - 4*v + 5. Let p be r(-4). Suppose -75 = -5*n + p*f, f - 1 = -0*f. List the prime factors of 1 + n\/(-1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**3 - z**2 + 2*z - 1. Suppose 12 = 4*y - 0, 2*p - 11 = -3*y. Let i be l(p). Is (1 - 1\/i) + 13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2654, 6889, 11124, 15359?\nAnswer: 19594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 0.04, -0.6 in descending order.\nAnswer: 0.04, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-g**2 + g**2 - g**2)*(2 - 6 + 2) - 5 - 3*g**2 + 8 + 2*g**2 in the form k*g**2 + u + w*g and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4.09 + -0.09. Let i = -3.8 + h. Suppose 9 + 4 = q - 2*z, 0 = 5*z + 20. What is the closest to -2\/7 in q, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 15 = 0, 4*w - 27 - 6 = -5*l. Let d = w - 1. Sort d, 0.3, -0.1 in decreasing order.\nAnswer: d, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u - 4. Let o be a(-6). Let r(z) = -z**2 - 8*z**2 + o*z**2. Let j(g) be the first derivative of -g**2 + 1. What is j(r(h))?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -651*r - 732 = -655*r. Let s = 1036 - r. What are the prime factors of s?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -5 - (1 - (723 + 8)). Suppose -7*l + a = -605. What are the prime factors of l?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6 + -5 + 11 - (7 + -13)) + (36 - 121)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3442985.\nAnswer: 5, 7, 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes before 3:43 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*a - 129 + 49 = 2*f + 3*a - 0*a, 0 = -4*f + a - 160 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:58 PM and 3:18 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18 - 23 - 85*z**2 - 18 - 29 + z + 29 to t + i*z + s*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be 10\/(-35) - (-2)\/4. Which is bigger: h or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1773477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 7 = 3*c, j - 5 = -2*c - 0. Let o = -8 - j. Let l(t) = -t**3 - 8*t**2 + 8*t - 4. List the prime factors of l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 4, 7*z + 2*j + 10226 = 2*z. Let k = 360917\/177 - -207\/118. Let d = k + z. Find the common denominator of d and 101\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1033*g + 67893 - 6946 = 0 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q - 5*h - 90, -14050*h + 77 = -4*q - 14049*h for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 95, 72, 35, -22, -105, -220?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (34875\/3224)\/75*(-28)\/(-21)\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -8*2831\/(-17880)*-45\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -4*m**2 - 30*m - 34. Let d be s(-6). Calculate the highest common divisor of 281 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 4*l + 13. Let w be a(-1). Are 10 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5)\/(-2)*(-8)\/35. Put 1\/4, 0.1, y, 2\/19 in ascending order.\nAnswer: y, 0.1, 2\/19, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-39)\/(-78) + ((-18)\/(-28))\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h**2 + 10*h - 4. Let b(r) = 5*r**2 + 21*r - 9. Give -3*b(u) + 7*y(u).\nAnswer: -u**2 + 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -118 - 1.21.\nAnswer: -119.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -8*k**2 + 4424*k + 3. Let z(x) = 14*x**2 - 8856*x - 5. Calculate 5*s(t) + 3*z(t).\nAnswer: 2*t**2 - 4448*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/2, -184\/9, -5?\nAnswer: -184\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 67904433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 9, 0, -19, -54, -111, -196, -315?\n\"Answer: -n**3 + n**2 - 5*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -2*c + 15. Let q(g) = -g**2 + 13*g + 7. Let m be q(14). What is the tens digit of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than 1\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the second derivative of 119*v**6\/30 + 24*v**2 + 3*v + 6. Find the first derivative of t(r) wrt r.\nAnswer: 476*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 419530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k + 0 - 6 + 0. Let d be r(-8). What is the units digit of 1 - -1 - (-1 + d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22853 is divided by 545?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*p + 6*p + 132. Let y be -2 + (0 - p\/(-42)). What is the third biggest value in y, -5\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 6.9 * -1.9\nAnswer: -13.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -590 divided by -5\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 535291567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**2 + 3*i**2 + 6*i**2)*(-2 - i**2 + 2) + 6 - 6 - 2*i**4.\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/3720 and -1\/645.\nAnswer: 159960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 32*z + 1. Let i(t) be the first derivative of t**4\/12 - 13*t**2\/2 - 6. Let a(h) be the second derivative of i(h). Give a(k(p)).\nAnswer: 64*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-1\/3)*c)**39)**(4\/17) assuming c is positive.\nAnswer: c**(104\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -88.1742434832 + -2.2\nAnswer: -90.3742434832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11057946 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4 - (7 - (4830 + 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 102*q**3 + 2*q**2 - 90*q + 89. What is v(1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*q**2*w**2 - 69*q**2*w - 1623*q**2 - 2*q*w**2 - 3*w wrt w?\nAnswer: 4*q**2*w - 69*q**2 - 4*q*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 114, -5, 0.07 in ascending order.\nAnswer: -5, 0.07, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = -29*h + 154. Suppose 4*c + h*t - 109408 = 0, 3*c = -5*t + 43197 + 38865. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 673, 665, 673, 697, 737, 793?\n\"Answer: 8*b**2 - 32*b + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of n**6\/33 - 2*n**5\/55 - n**4\/11 + 47. Suppose j(i) = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 3, 5, 5.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 21311976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/19 - 618016*s\/19 + 2472096\/19.\nAnswer: -2*(s - 4)*(s + 309012)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 2*w**3 + 66*w**2 - 487*w + 115. Calculate c(-39).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -3*n**2\/2 - 3*n + 2. Let t(p) = -p**2 - 3*p + 29. Let j be t(6). Let v = 22 + j. Determine y(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3 - -1)\/(8\/(-180)). What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3 - 5549640*f**2 + 5549639*f.\nAnswer: f*(f - 5549639)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 414*n + 2927. Let j(o) = 259*o + 1951. Calculate 8*j(d) - 5*r(d).\nAnswer: 2*d + 973","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r\/r**6)\/r*(r**0\/r)\/r)\/(r*r*r**(-3\/5)*r*r*r**5)*(r**6\/r*r**(1\/3)\/r)**(-2) assuming r is positive.\nAnswer: r**(-361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -42*m**3 - 6*m - 7. Let h be f(-6). Let n = h - 5183. Is ((-1)\/2)\/((-3)\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 4, d: 2, g: 1}. What is prob of sequence gt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*n - 13*n**3 + 44*n**2 + 0 - 45*n**2 - 1 wrt n.\nAnswer: -78*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v + 9*v = 4263. Calculate the remainder when v is divided by 63.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t + 2*t - 2*t)*(-700 + 13008 + 11355 - 3906).\nAnswer: -39514*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-16)\/(-288))\/(2\/(-2104)) + (-602)\/387.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20.9 + 14.9. Let g = 6.2 + m. Which is the nearest to 0.1? (a) g (b) 10 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/10 and -3\/3820?\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*m - 11*m + 320 = 8*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(10\/13)\/u**(-2\/27))\/((u*u*u**(-1\/6)*u*u)\/((u\/(u*u**31))\/u)))**4 assuming u is positive.\nAnswer: u**(-49126\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + (3 - (-5 + -3)) + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*z**5 + 978*z**4 + 1809*z**3 + 576*z**2 - 228*z = 0 for z.\nAnswer: -1, 0, 2\/9, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -167 = -5*n + 138. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/5546580 and 121\/4835480.\nAnswer: 188583720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 12623*h = 12625*h + 10*p - 4, -5*h = p + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 36015875 to the power of 1\/2, to the nearest integer?\nAnswer: 6001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -44 - -29. Suppose 110 + 70 = 2*l. Let i be (0 + 500\/r)*l. What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/5 < -8902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of -4*z**7\/357 + z**6\/255 + 14*z**5\/85 - 31*z**4\/102 + 2*z**3\/17 + 372*z. What is i in t(i) = 0?\nAnswer: -3, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2536, -5061, -7596, -10147, -12720, -15321?\nAnswer: -17956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -162.291 - -0.291. Let o = -103 - k. Let u = o - 58.88. Round u to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2 - f - 3 + 4 + 2. Let r = 1854 + -1870. Let t(j) = -4*j + 26. Determine r*b(d) + 3*t(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 142 is divided by 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**2 - 9*d + 6204.\nAnswer: -3*(d - 44)*(d + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17937476 to the nearest integer?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -449*f + 46*a = -453*f + 41*a - 5, 4*f + 4*a - 15 = 3*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, x: 3, v: 3, z: 1, i: 3, q: 4}. What is prob of sequence dv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f - 2. Suppose -4*k = -k - 27. Let d be y(k). Suppose -5*l = -p - d, 3*l = -2*l + 15. What is the smallest common multiple of 34 and p?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of 0 + 12*p**3 + 27\/4*p**4 + 8*p**2 - 38*p. Determine k so that t(k) = 0.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 138576 = -6*v + 8*v. What are the prime factors of v?\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, d: 8, r: 11}. What is prob of picking 4 r?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17 + -16.9. What is the nearest to 0 in 4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 18727635 divided by -4\nAnswer: -18727635\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 84509\/15030 + 16\/1503. Let d = -76\/301 - -46673\/7224. Calculate the common denominator of m and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -61 - -99. Suppose b + 33 = -2*p + 1, -4*p + 72 = -2*b. Let u = h + b. Calculate the least common multiple of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the second derivative of -w**4\/8 - 201*w**2\/2 + 183*w. Let f(j) be the first derivative of d(j). Let p(i) = -18*i. Give f(p(c)).\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the third derivative of g**5\/12 + g**4\/24 - 13*g**3\/6 + g**2. Let l(a) = a**2 - 3. Let x(b) = 18*l(b) - 4*t(b). Factor x(y).\nAnswer: -2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001717 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -93*v + 160. Let n(z) = 112*z - 159. Give 6*m(c) + 5*n(c).\nAnswer: 2*c + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 139, 6, 62, -3, -5, -1, 5 in descending order.\nAnswer: 139, 62, 6, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 9\/(-3) + 204\/6. Let w be (16 - 19) + q\/1. What is the greatest common divisor of w and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (34 - 1)\/(6\/16). Suppose -93*d + 20 = -u*d. Solve -3*t = -d*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13921 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 2*w**5\/11 + 106886*w**4\/11 + 1923220*w**3\/11 - 4274000*w**2\/11 = 0.\nAnswer: -53425, -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -64, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**3 + 10*h**2. Let z be t(-10). Let f(o) = 5 - 3*o**2 - 36 + 0*o**2 + 2*o**2 + 16. What is f(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -27 - -30. Solve y = 3*h + 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*h + 2*p - 9, -4*h + 26 = -2*p. Sort -4, h, -5 in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 955093 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -13*u**2 - 15*u + 26. Let m(f) = -2*f**2 + 2. Let o(z) = -6*m(z) + w(z). Determine o(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 0*p + 2*p)*(1 - 1 - 1) + 0*p - 3*p + 4*p + 2*p - p - 2*p + 2*p + 3*p - 3*p + (0*p + 2*p - p)*(-1 + 1 + 1).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 3 - 2)*(184 - 311 + 176)*(d + 0*d - 2*d) to the form h + z*d and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 94555 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*w + 3*w + 697 + 3353 = 0. Let c be 18*(4 + (-1 - -3)). Calculate the highest common factor of w and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2345.49494 to the nearest ten.\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1199*d - 3876*d - 20296*d.\nAnswer: -25371*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 2, -14549, 0.5, -6 in descending order.\nAnswer: 2, 0.5, -3, -6, -14549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*p - 69*p + 38*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -286, 2, 4 in descending order.\nAnswer: 4, 2, -4, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes after 4:22 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7\/6 - 5\/4. Let z = 1\/3 + c. Are z and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -9*r**3 + 2*r**2 + 2*r - 1. Let f(a) = a - 9. Let h be f(7). Let u be q(h). Calculate the highest common divisor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 - 9)\/(3 - 5). Suppose b*c + 16 = 3*a, 0 = -5*a - 3*c + 7*c + 32. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c - c - 4*c + 0*c. Let g(s) = -s**2. What is g(q(o))?\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -50*k**2 - 4 - 380*k**2 - 23*k**2 to t*k + d + c*k**2 and give c.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f + 6. Let q be a(-5). Is 5\/8 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70 and 24300.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1494046 (base 12) in base 13?\nAnswer: b32374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2785874709 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 29 + -4. Suppose -m + 0*m = -b. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -13920 - -1?\nAnswer: -1391a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0009830760707 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**2 - 12*g - 7. Let f be y(-12). Let u(w) = w**2 + 8*w + 8. What is u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 247692135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.018558 rounded to four dps?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 357.4562g to nanograms.\nAnswer: 357456200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16 - 11. Let g = -12064 + 12061. Which is the third biggest value? (a) g (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -119537*h - 8606659. Calculate j(-72).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*q + q**5 + 3*q + (-6*q**4 + 14*q**4 + 6*q**4)*(2*q + 4*q - 5*q).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = q - 5*q + 1686, -d = -q + 414. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -2*j + 9. Suppose 10 = -l + 6*l. Suppose 5*m = -l*y + 58, 2 = m + y - 3*y. Calculate the smallest common multiple of m and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:35 AM and 9:17 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4600)\/(-345)*((-1035)\/50)\/(-3).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 - 13*m - 10. Determine v(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 + 3 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.12 (b) -22 (c) 2\/7 (d) -5\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -51 + (7 + -14 - 13 - -10 - -20)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -810 + -331?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 965528 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3038*d**2 + 14*d + 15. Calculate the remainder when u(-1) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 439 - 359. Suppose 908 + i = d. List the prime factors of d.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (16\/10)\/((-5)\/750*-6). What is the highest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 55 - 64 - (-17 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 7, v: 5, j: 3, z: 3, f: 1}. What is prob of sequence fwv?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -14320625, -57282573, -128885819, -229130363?\n\"Answer: -14320649*q**2 - q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of -82*b**2 - 52*b**3 - 56*b + 35 - 11*b**4 + 4\/5*b**5. Factor q(p).\nAnswer: 4*(p - 14)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-121)\/(-1)*(-10 + 8). Let i be (-2)\/11 + (-2948)\/o. Solve -13*j = -17*j - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1703443760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*b + 14 + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2430) - sqrt(2430)*-1) + sqrt(270)*2)\/((sqrt(20) - (sqrt(20) + sqrt(20)*2))\/sqrt(2) + -2*-2*sqrt(10)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f - 55 - 120 = 0. Calculate the greatest common factor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuutuuteuu. What is prob of sequence ut?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1697595943 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.99 + 2. Let f = c - 1.81. Let u = f - -1.8. Sort 4, u, 1 in ascending order.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(7) - (sqrt(42)\/sqrt(6) + sqrt(7))) - (2*sqrt(7))**2*-6.\nAnswer: -sqrt(7) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 96*w**4\/11 + 1200*w**3\/11 + 2502*w**2\/11 + 1032*w\/11 + 120\/11 = 0.\nAnswer: -10, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fue when three letters picked without replacement from ukufekfkukkeeku.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 614, -7.9 in decreasing order.\nAnswer: 614, 0, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -3*sqrt(1539)*-2 + sqrt(1539))**2 + 6*-6*(sqrt(304) + -4)**2.\nAnswer: 522*sqrt(19) + 63916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13 + -7. Let h be (-1)\/((-4)\/f) + 4. Suppose -2*r - 3*o = -23, -2*r + o + 1 = -2. Sort r, h, 5 in decreasing order.\nAnswer: 5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 3\/7, 0.05, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 26 and 29\/1534.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1309)\/14)\/(-11) + ((-118720)\/1408)\/(-35).\nAnswer: 120\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-383)\/766)\/((-3)\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 PM and 12:44 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-2)*(33 + (-14310)\/432)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 44361025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 97*y - 753*y**4 + 132*y + 6*y + 189*y**4 wrt y?\nAnswer: -6768*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of 0*g + 130 + 9\/2*g**2. Let l(o) = -2*o**2. What is l(h(d))?\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 131*b - 740. Determine d(5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -612644, -1225262, -1837854, -2450426, -3062984, -3675534?\n\"Answer: -c**3 + 19*c**2 - 612668*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-n - 4*n + 2*n)*(-4629 - 5044 + 3314) to the form o*n + k and give o.\nAnswer: 19077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 0 + (1 - (-6 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 319241 (base 12) to base 13.\nAnswer: 2155b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 246697740 to the nearest integer?\nAnswer: 15707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 269946, 539913, 809906, 1079937, 1350018, 1620161, 1890378, 2160681?\n\"Answer: 2*z**3 + z**2 + 269950*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8\/1 + (-1)\/(-1). Let v(r) = 13*r**3 - 10*r**2 + 11*r - 1. Let s(y) = 2*y**3 - 1. Let j(t) = -6*s(t) + v(t). Let h be j(u). Does 25 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3654\/231*(-1)\/(-19) + (-8)\/76?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 7*d - 6. Let h(k) = -7*k + 5. Let l(z) = -6*h(z) - 5*t(z). Let p(n) be the second derivative of 5*n**3\/6 + 3*n. Give l(p(o)).\nAnswer: 35*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -2*b**2\/7 - 369842*b\/7 - 1849160\/7 = 0. Calculate b.\nAnswer: -184916, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u - u + 2*u)*(4*u - u - 4*u + (-u + 0*u + 0*u)*(2 + 0 + 0) + 4099 + 92*u - 4099) - u**2 - 3*u**2 - u**2.\nAnswer: -94*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Divide -150 by -5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d**3 - 292493*d**2 + 293206716*d + 195601140 = 0. What is d?\nAnswer: -98490, -2\/3, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.95 - 0.05. Let k = -0.229 + 93.229. Let x = -91 + k. Sort x, 2\/7, g in descending order.\nAnswer: x, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 125*c**2 + 115*c - 19119 wrt c.\nAnswer: 250*c + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u + 2. Let s be h(-2). Suppose s = -r + 3*r - 8. Suppose r*q + m - 8 = -m, -2*q + 12 = 5*m. Calculate the greatest common factor of q and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -y + x, -3*y + 3*x = 2*y - 84. Let o = -2 + 4. Suppose 1 = 4*n - 5*b + o, 2*n + b = 17. What is the greatest common divisor of y and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 397191095 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1272 > 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*2\/1*(-12)\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 46520071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 169*t**4 + 897*t**3 + 1278*t**2 + 332*t + 24 = 0.\nAnswer: -3, -2, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 161\/147 - (7 - 60\/10)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*y = 19*y + 20*y - 319 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17586 divided by -269.\nAnswer: 17586\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**2 + 12*i - 1. Let u be n(-12). Let p be (-2 + 1 + 0)*u. Solve -2*r = -r - p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, y: 1, e: 2, w: 1, h: 1, i: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -1393*u + 75098. Give n(54).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 38614047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 81606 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 351 + 41. Suppose 390 = 2*t + h. Is 5.2 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -22*l - 2. Let m be s(-3). Suppose 0 = -3*q - q + m. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or 190004?\nAnswer: 190004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47877*o - 12 - 10*o**2 + 47877*o.\nAnswer: -10*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.24, -2, -0.0212, -0.3 in descending order.\nAnswer: 0.24, -0.0212, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, r: 1, n: 1}. What is prob of sequence rc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -4631, -9260, -13889, -18518, -23147?\n\"Answer: -4629*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-14))\/((-10)\/(-112)*(-604)\/302)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 778 - 866 = 22*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p + 179 + p - 17*p - 178.\nAnswer: -20*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*2\/(1 - 3). Sort 4, y, -4.\nAnswer: -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -5*g**3 - 1. Let o be v(-1). Let r = 7 + -5. Suppose r*q + 3 = -1. Put q, 1, o in decreasing order.\nAnswer: o, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 332988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6596, -6579, -6546, -6491, -6408, -6291, -6134, -5931?\nAnswer: -5676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -338*c + 458*c + 960 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 - 22*p**2 - 100*p - 34. What is the tens digit of a(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17303692 + 0*d - 2*d - d.\nAnswer: -3*d + 17303692","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4902 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6\/13, -19.7611, 5?\nAnswer: -19.7611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.5 + 3. Let b = -0.61097 + 0.11101. Let j = s - b. What is j rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 125*n - 656*n = -11151 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 4*i - 7. Let w be p(0). Let f be (-7 - w)\/(0 - -2). Suppose 0*m + m - 2*u - 34 = f, -4*m + 4*u = -140. What is the least common multiple of 24 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -251\/15, -0.3, -1\/7 in decreasing order.\nAnswer: -1\/7, -0.3, -251\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -189, -180, -169, -156?\n\"Answer: o**2 + 6*o - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 19 + (-5 - (-22 - -31))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 7b69 + 67?\nAnswer: 8014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -227, -1, -4, 17, 2, 4 in ascending order.\nAnswer: -227, -4, -1, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -93216450 rounded to the nearest 100000?\nAnswer: -93200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00304199517 rounded to seven decimal places?\nAnswer: -0.003042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 - 14. Let d be (-3 + l)\/2*1. Let t be (21\/2)\/(-3)*-2. Calculate the greatest common divisor of t and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -580 - -588. Solve 5*m + 8 = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 694.000006412 + -694. What is w rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1\/4, -2.1395, 0.4, 0.06, -5 in decreasing order.\nAnswer: 4, 0.4, 1\/4, 0.06, -2.1395, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2247 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 10209731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4\/206265 + 206273\/412530. Factor 0 + 1\/4*m - 1\/4*m**2 - n*m**3.\nAnswer: -m*(m + 1)*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 + a + 11. Let m be s(-4). Let k(h) = 29*h + 2. Let q(j) = 116*j + 9. Let f(g) = m*k(g) + 2*q(g). Let z(w) = -w. Determine f(z(t)).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s - s - 5*s)*(-257*s + 2282 - 2282)*(-2 + 0 + 1)*(-1 + 1 + 2*s)*(-10 + 10 + 10*s).\nAnswer: -10280*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - k + 45, -3*v + 3*k + 39 - 12 = 0. Let r be (-4)\/18 + 191\/v. Suppose -r = 4*t - 377. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*r + 12*r + 4*c - 21732, 5*c - 21738 = -3*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -17066116, -34132225, -51198330, -68264431, -85330528, -102396621?\n\"Answer: 2*w**2 - 17066115*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/((3 - 1)\/2). Suppose 3*b + 47 = 5*z + 4*b, 0 = z + 3*b - 15. Let r be (-6)\/z - 365\/(-75). Is r at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 10488, -1, -2 in decreasing order.\nAnswer: 10488, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jkyjykbybhybfbb. What is prob of picking 1 b and 1 y?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-18 - -24) + (-6 - -2) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 114 = 3*s. Suppose 3*y - s = 59. What is the remainder when 76 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*o**3 - 3*o**4 + 1 - 2*o**3 - o**2 - 6*o**3 in the form v*o**2 + n*o**3 + f*o**4 + t + j*o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 6588*x + 1055. Is d(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + (-15 - -6 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 + 4*u - 3. Let m be r(3). Let h(c) = 0*c - 10 + m*c - 3*c + 3. Calculate the lowest common multiple of 20 and h(-7).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l. Let k(r) = -422*r + 2 + 538*r - 2. What is k(f(u))?\nAnswer: 232*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02772681894 to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z - 71. Let r(k) = -3*k. Calculate h(r(j)).\nAnswer: -3*j - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (10 + -4 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -20*j**2 + 14*j**2 - 28*j**2 - 70*j**2. Let v(b) = 2*b**2. Calculate v(r(x)).\nAnswer: 21632*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be (34065\/(-24))\/((-6)\/4). Let r be (3\/(-2) + 120\/(-48))*239. Let k = s + r. Calculate the common denominator of -69\/10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25.02 - -25. Let n = -0.020065 - y. What is n rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -695236.4 and -11.56917.\nAnswer: -695247.96917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**2 - 34*y - 627. Determine j(47).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1445.209um in nanometers?\nAnswer: 1445209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 192515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 33\/4 - -2 - (9225\/180 + -51). Solve 2*n - 4*v = a, -3*n - 5*v + 171 - 200 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 772558588 to the power of 1\/3, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 2*k = -61, -50*k + 33 = 3*v - 53*k. Let l(c) = c**3 + 7*c**2 + 5*c + 3. Calculate the smallest common multiple of l(-6) and v.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 3 = -3*n. Solve -n*r = -r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 64521119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 157537291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0095 - -0.5565. Let d = v - -0.163. Let c = d - 0.69. What is the biggest value in -5, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 - ((-12)\/4 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 28452912, 113811677, 256076286, 455246739?\n\"Answer: 28452922*q**2 - q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 k, and 1 r when three letters picked without replacement from {k: 1, u: 1, h: 1, r: 2, t: 1, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2537518591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 721948.297 rounded to the nearest 100?\nAnswer: 721900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -0 + 6. Let m = -1.8 + 1.5. What is the third biggest value in 2\/7, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2 + 0.1. Let g = 22997\/59620 - 315\/542. Let w = -3\/55 + g. What is the closest to -2\/7 in w, c, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1989363 - 12034.\nAnswer: -2001397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27*p**3*w**2 + 2*p**3*w - 8*p**3 - 408*p**2*w**2 - 3*p**2*w wrt p.\nAnswer: -162*w**2 + 12*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 442 - 757344?\nAnswer: -756802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3417847.\nAnswer: 3417847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z + 2 + 33 = 0. Put 2, -1, z, -2 in descending order.\nAnswer: 2, -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*g*t + 71956089*g + t**2 + 742794*t wrt t.\nAnswer: 3*g + 2*t + 742794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 120\/45 - (0 + 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 127*w - 127*w + 6*w**6 + 7*w**2 wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**2 - v - 6. Let i be s(5). Suppose i = 5*p - 6. What is the remainder when 7 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 4164*x**2 - 223*x + 4. What are the prime factors of a(-2)?\nAnswer: 2, 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -103\/3 - -34. Let n = 218.1 + -219.1. Let p be (0 - 2)*2\/(-14). Which is the closest to p? (a) 4\/9 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-90)\/8)\/(543\/(-24) + (418 - 395))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1136137301?\nAnswer: 13, 127, 137, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -188*b + 166*b - 270*b - 17 + 16 + 2*b**2 - 72*b as k + f*b**2 + z*b and give z.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is 0.000783395 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-278)\/(-14) + 123\/(-21) + 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2490)\/(-747)*162\/3*(-4)\/10.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 3*p**2 - 17*p - 9. Suppose -9*d + 151 = 97. Calculate n(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15307.716 months in years?\nAnswer: 1275.643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -27*n + 56*n - 261 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 + -1. Suppose -u - j*n = -12, 5*u + 14 = -5*n + 54. Calculate the least common multiple of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1509 times -155\nAnswer: 23.3895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 637156.6nm to centimeters.\nAnswer: 0.06371566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 917182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -127, -144, -177, -232, -315, -432, -589?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 4*l + 755 = 0, -2*l + 0 - 8 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 7*d. Let t(m) = -112*m. Give -98*c(w) - 6*t(w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*c - 2*i, -3*c + 3*i - 16 = -5*c. Let h(u) = -2*u - 2*u**2 + 4*u**3 + 7*u + c - 7*u. Let m(s) = s**3 - s + 1. Calculate h(t) - 2*m(t).\nAnswer: 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply -747 and -310.\nAnswer: 231570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 3*v**2 - 10*v + 4. Suppose 3*c = -c - 8. Let o(i) = i + i**2 - 4*i + 1 + 0*i**2. Calculate c*w(f) + 7*o(f).\nAnswer: f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 219 - 218. Sort -5\/8, x, 3\/8, 0.\nAnswer: -5\/8, 0, 3\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2*z**2 + 84*z - 2. What is the smallest common multiple of 30 and j(13)?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 61 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhlrhllhlslh. Give prob of sequence shrh.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (5 + -2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 42, -275, -3, 1, -1, 4.\nAnswer: -275, -3, -1, 1, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 105 - 101. Solve -w*x + 1 = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 8*u + 22. Let k be v(9). Let x = k + -4. What is the remainder when x is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11 - -30) + -1 + -32?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.8771 to 2 decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.0962556 and -5.\nAnswer: -4.9037444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of -u**8\/6720 - u**6\/240 - u**5\/15 + 3*u**2. Let c(o) be the third derivative of n(o). Differentiate c(w) with respect to w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1234665361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 814353031*b**3*f**2 - 4*b**2*f**2 + 43159547*f**2 wrt b?\nAnswer: 4886118186*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -3*z**2 + 2288*z - 178105. Give c(88).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1e05 (base 16) to base 10.\nAnswer: 7685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 252139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14872, -29298, -43678, -57988, -72204, -86302?\nAnswer: -100258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*j - 8*j + 2*i - 16, 0 = -3*j - 5*i + 19 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 444 and 581936?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*87\/984 - (57988\/608 - 96).\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14947509?\nAnswer: 3, 19, 262237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p**2\/2 + 7*p\/2 + 6 = 0. Calculate p.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 636374154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4365, 8731, 13111, 17511, 21937, 26395, 30891?\nAnswer: 35431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -175b (base 12) in base 7?\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 10*d**2 - d + 33. Calculate g(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -6 - 46683676?\nAnswer: -46683683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68*b + 16 = -76*b. Let m(u) = 36*u - 142. Let i(p) = -34*p + 142. Let t(d) = b*m(d) - 3*i(d). Differentiate t(x) wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25554 = 20*b - 26014 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Do 0 and 3\/4109 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2 - 252*f - 1056.\nAnswer: 3*(f - 88)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -13*o**3 + 2*o - 3. Let f(x) = -6193684 + 6193683 - x**2 - 3*x**3 + 2*x**3. Give 3*f(j) - i(j).\nAnswer: 10*j**3 - 3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the first derivative of 14\/3*m**4 + 0*m - 15\/2*m**2 + 16\/3*m**3 + 13 + 49\/30*m**5. Let j(a) be the second derivative of w(a). Factor j(i).\nAnswer: 2*(7*i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -37 and 23134612.\nAnswer: -855980644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -167 - -199. Suppose v + 137 = 2*z, -b*z + 35*z + v = 193. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/4)\/((-2)\/(-32)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 5*o = -2, 4*o - 28 = -5*h. Solve h*s = 2 - 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + k + 5*s - 44 = 0, k + 4*s - 40 = 0. Suppose 7*f = 4 + k. Solve -2*v = -3*v - f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6108 divided by 1018\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and 0.24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be 326\/71 + 7 + -11. Is n bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 298.4008cm?\nAnswer: 2984008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 94 - 90. Suppose 0 = 3*a + r - 0*r - 10, 2*r = l*a. Suppose 12*o**3 + 227*o**2 + 64 + 358*o - 134*o - 127*o**a = 0. What is o?\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(9) - sqrt(225)))\/(-2*sqrt(3)*2 - sqrt(3)) + ((sqrt(726)*1)\/(-1*sqrt(10)\/sqrt(5)))**2.\nAnswer: -8*sqrt(3)\/5 + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 13 and 3.32.\nAnswer: 43.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 860 - 872. Which is bigger: r or -22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 + 6*i**2 - 2. Calculate y(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-7*16\/56)\/((-60)\/540). Find q, given that -p - 39\/5*q - 3\/5*q**2 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1263?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 169 + 57. Let z = h - 154. Let p(k) = -k**2 - 74*k + k**3 + z*k - k**2 - 2. Let o(m) = -2*m**3 + 3*m**2 + 2*m + 3. Give -2*o(f) - 3*p(f).\nAnswer: f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**2\/(w*w**(-1\/4))*w**11*w*w**9 assuming w is positive.\nAnswer: w**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 4*l, -2*l = 3*l - 5. Let x = z - -7. Solve 0*d - 3*d + f = 10, -2*f = -x*d - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68*b + 7 + 31 - 21 - 36*b - 18.\nAnswer: 32*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3607 less than 142468848?\nAnswer: 142465241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -79 + 74. Suppose 0 = -2*y + 4*y - 20. Let x = t + y. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 5*n = -0*n - 19, 3*n = -4*w + 7. Put -4, -1, w in decreasing order.\nAnswer: -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**3 - 5*z**2 + 6*z + 6. Suppose d + 3*i = 3, -5*i + 11 = -4. Let q be h(d). Suppose q = 4*y - y, 0 = 3*p + 3*y - 12. Solve -3*v = -p*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**2 + 15*b + 13. Let l be c(11). Calculate the highest common factor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*k**3 - 4324*k**2 - 17184*k + 51696 = 0. Calculate k.\nAnswer: -1077, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + 2*u + 2*u)*(17*u + 0*u + 2 + 11*u + (-12 - 6*u + 12)*(4 - 1 - 1)).\nAnswer: 32*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:49 PM and 5:32 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*p - 34*p = -323460. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/2, 1433, -4, -3.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4985476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzw when three letters picked without replacement from {z: 2, e: 2, w: 7}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 27 = 28. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (17*j + 25*j - 31*j)*(-2 + 1 + 3) as a*j + c and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c + 2. Let i(x) = -3*x - 4. Let b(n) = -3*i(n) - 5*r(n). Let l be b(5). Let f be 4\/(-8)*(1 + l). Are f and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:49 PM and 10:18 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13481 + -11504. Let v = 24977.2204 + n. Let q = 7.8 + v. Round q to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8927.691 millilitres in litres?\nAnswer: 8.927691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**13*k*k*k*k**(-20\/3))**(-2) assuming k is positive.\nAnswer: k**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 709246 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 272 and 20224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 52 - 37. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4\/9 - 2\/9*l**2 - 2\/9*l = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a**4 + 0*a**4 + 2*a**4)*(-15*a + 5*a - 3*a).\nAnswer: -26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -36 * 11.831\nAnswer: -425.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 5 + (37 - 51 - (-1 - -2)) - (30 - 2)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 6)*(-4*y**4 - 55*y + 30*y + 28*y + y**2).\nAnswer: -16*y**4 + 4*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-660)\/(-45)*3*1. Let m = y - -56. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 94280091 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(-11)\/((-1045)\/(-5))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 104, 561, 1674, 3767, 7164, 12189, 19166?\n\"Answer: 54*i**3 + 4*i**2 + 67*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -7 + (-4 - (-15 - (-5 - -5))) + 85?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = -4*b + 4*z, -4*z + 1 + 7 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 873649*l**3*y**2 + 2*l**3*y + 3*l**2*y - 21*l*y - 2*l - 73 wrt y.\nAnswer: 1747298*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30 + 32.6. Let l = -2.5 + f. Which is greater: l or -9\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 78*f**3 + 149*f**3 + 76*f**3 + 84*f**3 + (4 + f - 4)*(-2*f**2 + 3*f**2 + f**2) in the form w*f + v*f**3 + x*f**2 + s and give v.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 28745.4kg?\nAnswer: 28745400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 206905992 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 3*y**2 + 119*y + 82. Let c = 16066 - 16105. Calculate o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the first derivative of 1695*u**2\/2 - 1424*u - 1303. What is the first derivative of x(k) wrt k?\nAnswer: 1695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3715 = 5*l + 7*y - 8*y, 737 = l + y. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -2*j + 12, -1 = -j - 2*l - l. Suppose j*o + 0 = -4. Let k = 6 + o. Solve 0*a + a = k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the third derivative of -f**6\/120 - f**5\/30 + f**4\/24 - f**3\/6 + 8*f**2. Let t be x(-3). Let i = t - -18. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*x + 29*x - 1928 = 0. Suppose x = 9*j - 134. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 20\/(-18)*40\/200\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of -l**3\/3 - 64*l**2 - 1073. Determine w, given that f(w) = 0.\nAnswer: -128, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 4*d**2 - 6*d. Let z be k(-5). Suppose 3*o = -4*q + q + 6, 0 = z*o. What is the third derivative of 6*r**q - 7*r**2 + r**4 - 2*r**4 wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-595)\/(-130) + -1)*2\/(-4) and -57\/14?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - 1 - (3 - (4 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (11*(-16)\/(-220))\/(52\/(-10))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 179\/9802770 and 11\/5706090?\nAnswer: 382308030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**49)**4*(c\/c**21)**(1\/24) assuming c is positive.\nAnswer: c**(1171\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 139 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 AM and 10:59 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a - 4*a + a + (-5*a + 2*a + 4*a)*(0 + 1 - 3) + a - 9*a - 48*a + (2 - 1 + 1)*(3 - 3 + 2*a).\nAnswer: -55*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -22214202 - 13041?\nAnswer: -22232243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 31, -1, 46, 0.\nAnswer: -1, 0, 4, 31, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*u**3 - 6*u**2 - u**5 + 12 + 0*u**2 - u**5 - u**2 + 1 wrt u?\nAnswer: -120*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8179 + 2837 = 34*b. Suppose -5*l + 2026 = -b. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-2 - -3) - (-7 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001329 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together -196 and -1416608993.\nAnswer: -1416609189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 2 d when four letters picked without replacement from {j: 3, d: 2, e: 8, n: 1, i: 2, k: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*c - 25*c + 35*c + c**3.\nAnswer: c**3 + 39*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1609*s - 999*s - 52 - 609*s.\nAnswer: s - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 6 = 3*y - 30, -2*v = 3*y + 12. Let m = -106 - -72. Let p = v - m. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37625\/(-860)*(-5)\/((-105)\/(-2))?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 + 4. Let b(c) = c**3 + 2*c**2 - 3*c + 4. Let h be b(r). Let d(q) = -h + 4 + 3*q. Let j(y) = -2*y. Determine j(d(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13701423 is divided by 43222?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-74)\/(-5))\/(-25*140\/8750).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4*i - 5*i - i)*(-i**2 - i**2 + 4*i**2) + 3*i**3 + 5*i**3 - 5*i**3)*(0 + 0 - 2*i).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2784276 and 712.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 2\/5 (c) -13\/1693886\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -7 - -6 - -5 - (-3 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, s: 4}. Give prob of sequence sbs.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 + 14*t**2 - 30*t + 504. Is 9 a factor of c(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 146722010?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.13 (b) -4 (c) 680 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 3) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -341*f + 98*f - 2365 - 138*f + 2362.\nAnswer: -381*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.046 - -21.046. Let m = x - 12. Let f = -9.0012 + m. Round f to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(3 - 27\/8). Are -7 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3 + 0 + (128\/(-576) - 40\/(-18)). Let v = -866\/279595 - 4\/995. Which is bigger: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**3 + n**2 + 8*n - 12.\nAnswer: -(n - 2)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3 + 1 - 1. Let t be b(-1). Let z(n) = -t + 1 - n - 3. Give z(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 6:03 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 417*d**3 + 4*d**2 - 1218*d. Let z(h) = -1250*h**3 - 11*h**2 + 3643*h. Let j(o) = 8*t(o) + 3*z(o). Find the second derivative of j(k) wrt k.\nAnswer: -2484*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3468, 3473, 3480, 3489, 3500, 3513?\nAnswer: 3528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/42662340 and 139\/435330.\nAnswer: 42662340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 70024537 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(3*(sqrt(1300) - (2 + 1*sqrt(1300)) - 3*(sqrt(1300) + -1)) - -4*(2 + sqrt(1300) + 1 + sqrt(1300) + 4)))**2.\nAnswer: -15500*sqrt(13) + 56525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - ((9 - (20 + -9)) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 3628020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (3 + 4993\/(-4))\/(71\/(-568))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 10571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 - 14*k + 3. Suppose -37*h - 351 + 795 = 0. Give d(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o - 12 - 4. Let q = o + 4. Let l(v) = v + 2. Calculate l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*g = 12*g - 13*g - 204 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17639\/3 - -5880. Let a be 4\/(-2) + 17\/8. Let l = -0.3 - -0.2. What is the nearest to y in -0.2, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6854260493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/(-27) + 142\/9. Suppose 101 = 4*z - 99. Let j = 98 - z. Calculate the highest common factor of j and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w**2 - 6*w - 4. What is g(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-6)*1*(-7812)\/65100.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100001021 + -10?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 13495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 24467364583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -2*f - 10. Let l be h(-4). Which is the second biggest value? (a) 2 (b) l (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 15, 38, 35, -6, -97, -250?\n\"Answer: -2*l**3 - l**2 + 40*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1656371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 583 is divided by 66.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence afa when three letters picked without replacement from {a: 15, f: 4}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.15 + -0.85. What is the closest to -2 in k, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 50328 and 4104?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*c = 15*c + 1120. What is the highest common divisor of c and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 12:56 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0071 * 3.6.\nAnswer: 0.02556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58098?\nAnswer: 2, 3, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -52d61 (base 14) to base 13.\nAnswer: -70181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10041*t + 9743*t + 6952*t - 4653*t.\nAnswer: 22083*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 141.5434 and -181.5?\nAnswer: 323.0434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**3 - 6*i**2 - 3*i + 6. Let j be m(-5). Let o = 10 - -4. Let z = o + -10. Sort j, z, 1\/2.\nAnswer: j, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*d + 5*d + 4*d - 4*d + 55*d**2 to h*d**2 + z*d + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*z - 17169 + 16084 = 0 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6324 divided by -6?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 0*u - 5*q - 7 = 0, -u - 3*q = 3. Suppose 0 = -f + 5*w - 3015, 4*w + 1507 = u*f + 10519. Round f to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 + 4*v**2 - 2*v - 4. Suppose 5 - 1 = n. Let h = -8 + n. Let q be o(h). Let w(d) = d**3 - 4*d**2 - 5. Calculate w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -247, -2, 0.1.\nAnswer: -247, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -26997*v + 432054. What is s(16)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**3\/9 + 71368*q**2\/3 + 636578760*q - 45847374400\/9.\nAnswer: 2*(q - 8)*(q + 53530)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/9 in -50, -0.11, -1\/10, 2\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yrr when three letters picked without replacement from {y: 1, a: 3, h: 1, r: 2, k: 12}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1229280768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 33916178827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 34 (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8263226 to the nearest integer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 5*w = -430, -16*d + 6*w = -15*d - 66. Let p = 23 - 13. What is the highest common divisor of d and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 330 is divided by 93.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g - 15 - 10. Suppose 0 = 4*j - 5*j + 2*z + 14, z - 125 = -5*j. Suppose g*a - j*a - 56 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4063, -4072, -4091, -4126, -4183, -4268?\nAnswer: -4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is a5d1b (base 14) in base 3?\nAnswer: 202100022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 255593782 to the nearest integer?\nAnswer: 15987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 38*d**2 + 16*d**4 + 22*d**3 + 4*d - 54*d**2 - 26*d**3.\nAnswer: 4*d*(d - 1)*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.2, -0.6, -0.5, -2\/37, 0?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + a = -10 + 27, -22 = -4*v - 2*a. Suppose -5*g - 73 = -3*i, -4*i - 19 = -5*i + v*g. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 104*k + 416 = 0, -5*z + z - 1 = -4*k - 22 - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 51\/(-12) - 2\/(-8) - 845396. What is u rounded to the nearest 10000?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -15.7 * -2258.6\nAnswer: 35460.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 14\/13, -4, 4, 3, 12?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p - 3*x + x - 2576, 3*x = -12. Let t = p - 250. Does 56 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvv when three letters picked without replacement from iiiviiviiviivvviiii?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-138 - -134) + (-12 + 14 - (-49 - 0))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-141)\/(-312) - (-45)\/(-120)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -22 - (-3 + 1 - -5). Suppose -5*d + 6 = 2*m + 131, 0 = -2*d + 4*m - 50. Is d greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-513)\/21774)\/(-21*(-120)\/1120)?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -6.77332 * -905\nAnswer: 6129.8546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3 and 3336.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18 + 1 - (105 - 138) - -4) + -47.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 742130637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -5*f**2 + 1085020*f - 27122375 = 0. Calculate f.\nAnswer: 25, 216979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -3*i. Suppose 2*c - 5*c = o + 8, -2*c - o = 5. Let y be s(c). Calculate the greatest common divisor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3172 + 631 = -11*o. Is 7 a factor of ((-8)\/(-14))\/(6\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -5*y - 3 - 64, -41 = 3*y - 2*o. Let a be (-1 + 4)\/(y\/(-10)). Suppose -a*f + 2 = 12. Sort -1, 5, f in decreasing order.\nAnswer: 5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -5950a (base 12) to base 5\nAnswer: -12314322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.53841253 to three dps.\nAnswer: -0.538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 PM and 11:33 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/4)\/(-1 - (-70)\/(-50))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -31 + 24 + 8 - 221*o as v + s*o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 111 and 6309?\nAnswer: 233433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8268572 litres to millilitres.\nAnswer: 826.8572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 220*w - 550*w - 186*w + 43860 = 0 for w.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 - 9. Let d = 6 - h. Which is the second biggest value? (a) d (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2682*u + 2652*u = 330 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 3*f + 15 = 2*a, -2*a - 2*f - 22 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeiieieiiiii. Give prob of picking 3 i.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 596 - 559. Let x = v + 1060. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2907*b**4 - 13730*b**2 - 87944389*b wrt b?\nAnswer: -34884*b**2 - 27460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of 3*u - 1\/3*u**3 - 1\/20*u**5 - 3\/2*u**2 - 1\/4*u**4 + 0. What is c(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -710 + 2997. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101000 - -11001?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 12889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -281 + 289. Suppose l - 14 = o*l. Sort l, -4, -10.\nAnswer: -10, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 16*i + 9 = -15*i, -13 = 3*l - 4*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -a**3\/3 - 13418*a**2 - 764465*a\/3 = 0.\nAnswer: -40235, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.06339725 to 4 dps.\nAnswer: -0.0634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.835973 millennia to years.\nAnswer: 1835.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2389071603 and 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 245 - 244.91. What is the nearest to -1 in 0, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, q: 1, x: 1, c: 1, f: 2, s: 2}. Give prob of sequence cxff.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = 4*f + 28, -1581*c + 1582*c = -f + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 76 + -77. Let p(c) = -60*c**3 + c**2 - 2*c - 3. Let v(l) = 119*l**3 - 3*l**2 + 4*l + 7. Let f(a) = 5*p(a) + 2*v(a). Is f(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 divided by 114677.\nAnswer: 16\/114677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvvx when four letters picked without replacement from {x: 2, v: 17}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 8\/19 (b) -19.7 (c) -4\/5 (d) 2 (e) -4 (f) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by 18.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - (-10 - (-1 + -3 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6099073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 6*(sqrt(1573) + sqrt(1573) + 0 + sqrt(1573)) + sqrt(1573))**2 - ((sqrt(1573) + 1)**2 + -5 + 3).\nAnswer: 1650*sqrt(13) + 566297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 3 - 4812932*r + 0 + 79941*r.\nAnswer: -4732991*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 2289235263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2*k**3 + 191*k**2 - 101*k + 187. Calculate the remainder when f(-96) is divided by 110.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of v**5\/60 - v**4\/24 - v**3\/3 + 3*v**2\/2 - 45*v. Let x(h) be the first derivative of q(h). Suppose x(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -51258919*q**2 + 2805150*q + 2.\nAnswer: -102517838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ivijivvjfifjvivssjs. What is prob of sequence vi?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 14*j**2 - 2*j - 3. Let p be m(-2). Let v = p - 71. Let i be 4*(v*4\/(-16) - 0). What is the highest common factor of 98 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-7)\/((-21)\/81) + 5. What is the greatest common factor of o and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 9 + 2*v - 9. Let m(a) be the third derivative of a**7\/1260 + a**4\/2 - 17*a**2. Let y(n) be the second derivative of m(n). Determine q(y(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2829410 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 2*c + c, 4*x - c = 32. Suppose 0 = 3*n + 5 + x. Suppose -k - 2*k - 15 = 0. Put -2, n, k in increasing order.\nAnswer: k, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2249 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 27961705*o**5 - 4922609*o wrt o?\nAnswer: 559234100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, 6399.\nAnswer: 1, 3, 6399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 43067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7364, 7354, 7344, 7334?\nAnswer: 7324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*a - 87 = 5*h, 0 = 4*h - 57*a + 55*a - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 44 = -y, 0*n - y - 52 = 3*n. Let g be 12\/n + (3 - 54\/(-24)). Solve 0 + 3*w + 18*w**4 - 51\/2*w**3 + g*w**2 = 0.\nAnswer: -1\/4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29026 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 20909, 20913, 20915, 20915?\n\"Answer: -o**2 + 7*o + 20903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*w**3 - 146 - 4*w**3 + 146.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 19 = -2*a. Let q be (a + 2)*(1 - 0). Let y = -14 + q. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 614?\nAnswer: -5\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44135*f + 89896*f - 2*f**3 - 362860*f.\nAnswer: -2*f**3 - 317099*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -28348983 divided by -3939\nAnswer: 7197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -6*z**2 + 11*z**3 - z - 9*z**3 - 8 - 3*z**3. Let x be h(-7). Calculate the highest common factor of 120 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 40725.5 - 42227. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j + 27 + 133. Let g = j - -88. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 13730700, 27461401, 41192102, 54922803?\n\"Answer: 13730701*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 + 93. Is k + (-90)\/(8 - -2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gd when two letters picked without replacement from dddddddg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2127911301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 12777257.48 to the nearest 10000.\nAnswer: 12780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (5 + -1 + -3*sqrt(720) + -1*sqrt(720) + -4)*3)**2.\nAnswer: 1152*sqrt(5) + 103696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 22871263 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 5, a: 3, d: 1, z: 1, k: 5}. Give prob of sequence oda.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -236*d - 57451. Determine t(-243).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 17 and 1632?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 51\/9*(-2 - -5). Let g = -10 + u. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2989967 - 1.0382?\nAnswer: -2989968.0382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-2*sqrt(12) + (sqrt(108) - sqrt(108)*3)\/sqrt(9) + -5.\nAnswer: -12*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0047684 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 2*p = -3. Suppose 70 = 5*a + 5*q, p*q = 3*a - 8*a + 76. Let r = 312 + -246. What is the remainder when r is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ukmm when four letters picked without replacement from {j: 5, u: 2, m: 3, i: 1, k: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -58 - 72?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/83, 2, -42, -3?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3891 a factor of 1722788109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 41 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 9 = -r. Let j be -1 - r*(-12)\/9. Let x be 2*3\/(-18) + -13*(-1)\/3. Solve x = -j*y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**2 - 12*i - 48. Is 28 a factor of p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 200*x - 3*x**5 + 33*x + 30*x + 211*x**3 - 30*x**3 + 5*x**5 wrt x?\nAnswer: 40*x**3 + 1086*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000789 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 36, -4 in ascending order.\nAnswer: -4, -1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 - (1172\/(-3))\/((-21)\/(-63)). Let g(f) = -591 - 584 + h - f. Determine g(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*d - 25*d - 6*d - 13*d as f + x*d and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1965 - -1948) + 70 + 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.7 - 3.7. Let b = 0.9 + -1. What is the nearest to b in c, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 26817 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2509 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 10, n: 3, t: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 52 + o**3 - 424 + 183 - 192 + 183*o**2 with respect to o.\nAnswer: 3*o**2 + 366*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1352532*f**3 + 10455*f + 26 wrt f.\nAnswer: -8115192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Subtract -990616.39 from -77165.\nAnswer: 913451.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0 (b) -1 (c) 1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vsvyvmvm. Give prob of picking 1 s and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -13767\/2 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36708 divided by 12236.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -517474 * 13.\nAnswer: -6727162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l + 15. Let p = 40 + -25. Let g be n(p). Solve g = -0*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 89941.99888 - 89932. Let y = -10 + i. Round y to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -112122 (base 5) to base 11.\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t\/t**2)**(20\/11)\/((t*t**(-2\/51))\/(t*t\/t**(-1\/5)*t*t)) assuming t is positive.\nAnswer: t**(826\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 322753 is divided by 71?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 726*h*p**2*q*t - 3*h*p**2*q + h*p**2*t - 6*h*p*q*t - 4*h*p*q - h*p*t + 2*h*q*t + p*t + 6*t wrt p?\nAnswer: 1452*h*q*t - 6*h*q + 2*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/4 and -53\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 5 = -9. Let b = j + 10. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -1961.\nAnswer: -196.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the second derivative of -c**5\/20 - c**3\/3 - c**2 - 3*c. Let y(i) be the first derivative of p(i). What is the first derivative of y(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 113597400 divided by -88060\nAnswer: -1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -4*g + g + 0*g. Let p(m) be the first derivative of -m**2 - 7*m - 8871. Determine p(c(n)).\nAnswer: 6*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 2*b + 4*b + 0*b + 6*b in the form y*b + o and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -65 + 670. Let y(l) = -143*l + 2772. Let q be y(19). What is the greatest common factor of q and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7.4 + 7. Let p be (30\/(-9) - 2) + 5. Which is the third biggest value? (a) q (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 16 + 3)*(2*t - 4*t + 5*t).\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 6*f - 15*f - 9*f in the form g + w*f and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = -2*h - 0*h. Let t = 25 - 13. Calculate the remainder when h is divided by 152\/t + (-1)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -7 - 1. Let p be y\/10 + (-12)\/(-5). Suppose 0 = 5*u - 15, -i - u = -p*u - 9. Solve -3*t - 3*j - i = -4*j, 5*j = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9672 + -9670. Let l = 14 - 6. Solve -l*o + b*o = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, h: 3, j: 2, z: 5, v: 7}. What is prob of sequence zhv?\nAnswer: 35\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-884)\/(-39) - (-1 + (-4)\/(-6)). What is the third derivative of v*h**6 - 6 - 2*h**4 + 6 - 22*h**6 - h + 42*h**2 wrt h?\nAnswer: 120*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 115 divide 611059860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/((j*j*j**4)\/j*j))*j*j*(j**(-5)\/j)\/j*j*j**(-2)*j*j**(-7))**(-20) assuming j is positive.\nAnswer: j**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 157058381?\nAnswer: 157058381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-97 - (0 - -4)) + 2 + -1 + 12 + -4?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j**2 - 19623436*j + 372846728 = 0.\nAnswer: -4905878, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3743*a**2 + 4*a + 542.\nAnswer: -7486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that 21\/4*z + 3\/2 + 9\/4*z**2 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 21 = -4*d, -3*d - 9 = -4*d + 5*r. Suppose 2*p + 3*y = y + 2, -d*p = y - 10. Solve 0 = 2*s + p*z + 15, -4*s - z = -2*z + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -29 + (-29 - -5) + 21\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 127878, 127877, 127876?\nAnswer: 127875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**2 - 4*f + 1. Let w be p(6). Suppose 2*o + 0*o - 3*v = -w, 2*v - 5 = 5*o. What is the tens digit of (-1107)\/(-15) - o\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 2, -23, 45, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*y + 9. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 5, -0.2904, 2\/13, -34\/7?\nAnswer: -0.2904","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 92*r. Let m(y) = -32*y - 32*y + 68*y. Determine d(m(v)).\nAnswer: 368*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12 + 6. Let w be f\/(-4)*20\/6. Suppose 0 = 4*u + n + 7, 0*u - 2*u = w*n + 17. What is the closest to 1\/4 in 1\/3, -4, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 215 + 2*n**2 + 5*n**2 - 3*n**2 + n**2.\nAnswer: 5*n**2 + 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 + 44*b - 68. Let i be s(28). Calculate the highest common factor of i and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -1\/3, -3\/9746?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2\/1147 + 1031\/66526. What is the smallest value in -0.4, l, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*z**2 - 17 + 17 + 63*z - 63*z.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j - 2*j + 4*j)*(j + 0*j + j)*(0*j - 9*j - 3*j) - j**3 - 3*j**3 + 3*j**3.\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 721 - 81 = 5*g. Suppose 4*x + 0 = g. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -4*w**2 + 37588*w - 81201384 = 0.\nAnswer: 3366, 6031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 - 11*z + 14. Let g be n(11). Suppose 2 = j - g. Calculate the remainder when 93 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-5*189\/(-210)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -631127 - 248.\nAnswer: -631375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 217.8 + -218. Let m(v) = -3*v + 1. Let t be m(2). Which is the fourth biggest value? (a) u (b) t (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 152880114 divided by -6\nAnswer: -25480019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1043113836 to the power of 1\/2, to the nearest integer?\nAnswer: 32297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 202398?\nAnswer: 2, 3, 7, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 26.1 - 27.1. Which is the closest to n? (a) 4\/9 (b) -4 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1390767, -4, -3 in increasing order.\nAnswer: -1390767, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (67*l - 351 + 351)*(-1 - 2 - 14) to z + k*l and give k.\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of j**8\/10080 - j**7\/1260 - j**6\/144 + j**5\/15 + 5*j**2. Let t(q) be the third derivative of y(q). Is t(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of -5\/6*v**3 + 0 + 0*v**4 + 1\/20*v**5 - 6*v + 0*v**2. Find the second derivative of g(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*a**4 + 795*a*m - 154*m + 1 wrt a?\nAnswer: 8*a**3 + 795*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 - s. Suppose -4*d = -0*d + i - 2, -4*d = -i + 2. Let h be z(d). Let g(b) = -b - b**3 + 0*b**2 - 5 - 6*b**2 + 4*b**2 + 3*b**2. Determine g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -240 = 124*z - 64*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(20\/6)\/((-4)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 25 - 37. Let d = -9 - t. Suppose d*u + u = 32. Solve x - 3*j = -6, x - 4 = -3*j + u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -3, -16823 in increasing order.\nAnswer: -16823, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1893, -7477, -16755, -29727, -46393?\nAnswer: -66753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16093082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16026332, -32052679, -48079014, -64105331, -80131624?\nAnswer: -96157887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 62, 375, 1218, 2855, 5550, 9567, 15170, 22623?\n\"Answer: 44*l**3 + l**2 + 2*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9 + 12. Suppose p*d - 20 = 7*d. What is the tens digit of (-2)\/(3 + 16\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 2*l - 5*x = -11, -4*l + 66 = 2*x. Calculate the remainder when 41 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*l - 6097 = -100*l. Put -5, 3, l, -3 in decreasing order.\nAnswer: l, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 92\/297 + -3\/11. What is the third biggest value in 3\/4, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 15*n + 12. Let r(q) = q**3 + 20*q**2 + 20*q + 24. Let i be r(-19). Let p(u) = u - 1. Let d(h) = i*p(h) - c(h). What is the derivative of d(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.6312 rounded to one dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 619, 625, 631?\n\"Answer: 6*n + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 + (-1 - 17) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9933 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 10:18 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 114 - 113. What is the common denominator of 14\/3 and s + 3 - 1086\/180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i\/i**6)\/(i\/(i*i**(1\/14)*i)))**(-22) assuming i is positive.\nAnswer: i**(451\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 304*d**2 - 14*d + 14. Let v(p) = 61*p**2 - 3*p + 3. Suppose 0 = -2*c + h + 34, -816*h + 817*h = -2*c + 22. Calculate c*v(w) - 3*b(w).\nAnswer: -58*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -4, 206 in decreasing order.\nAnswer: 206, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -48, 139, 1\/2 in descending order.\nAnswer: 139, 1\/2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -314 + 317. Solve 0*c + 3 = -n*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -35*c**3 + 28*c**2 - 7*c - 5. Let i(l) = 35*l**3 - 29*l**2 + 6*l + 4. Let p(x) = -5*i(x) - 4*u(x). Find the third derivative of p(y) wrt y.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 3*q**2 + 25*q. Let f(c) = 17 + 11 - 2*c**2 - 28 + c**2. What is b(f(m))?\nAnswer: 3*m**4 - 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2304*q**4 - 272120.\nAnswer: -9216*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -h - j, -4*h + 2*j = -3*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -16*g + 11. Let w(i) = -i - 2. Let s(x) = -7*x - 6. Let l(h) = s(h) - 4*w(h). Give -11*l(c) + 2*v(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 763 a factor of 15016603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 3*n = 9, -4*n = -4*m + 15 + 17. Let i = -243\/4 + 61. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 238*l**2 - 266*l**2 + l**3 - 313*l**2.\nAnswer: l**3 - 341*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**2 + 5*f + 2. Let n be k(5). Suppose n*c + 2*c = -5*l + 33, -c + 12 = 2*l. Let o(r) = 2*r. Let t be o(c). Put t, -3, -1 in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 - 7*d**2 + 6*d. Let c be g(6). Suppose -a - 8 = -1. Let o(z) = -5*z**2 - 62*z - 28. Let r be o(-12). What is the nearest to c in a, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97821 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be 40\/6*(-48)\/(-32) - 6\/(-3). Solve t = -2*l + 5, -d = -2*t - 5*l + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4*0.07\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 9, r: 10}. What is prob of sequence rrs?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -33 - (-6 + 1) - ((4 - (20 - 19)) + 1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from traaattaltl. Give prob of sequence aaa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27*v**3 - 6*v**4 + 53*v**3 - 28*v**3 - 7*v**4 + 13*v**2 wrt v.\nAnswer: -312*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16 - (-9 + 4)) + (7 - (-11 + -17 + 6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -0*w - 2*w + d, 12 = 2*w - 2*d. Let s = -7583\/22 + 345. Find the common denominator of ((-117)\/(-24))\/((-10)\/w) and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11890 - 11889. Sort 0, t, 32 in decreasing order.\nAnswer: 32, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-6))\/((5\/((-140)\/(-7)))\/((-135)\/(-3960))).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-4 - -9) + (0 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6.23 - -1.87. Let q = w + -8.10000736. What is q rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -109.8514 to one dp.\nAnswer: -109.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 14 + -9 - (1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - n + 25 = 0. Let x be 2 + (-3 - -16*1). Suppose 0*c - x = -n*c. Solve c*z - 8*z + 12 = -4*m, 0 = 4*z + 4*m - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 68\/(-40)*-2 - (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 35 and 1302?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1382007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 3*y**2 + 7*y + 2. Let g = -1 - -6. Let l be d(g). What is the greatest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 131013763 to the nearest integer?\nAnswer: 11446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -99*p + 252 = 57*p - 219*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 57.4 + -57.446. Put 0.3, 3\/8, s in decreasing order.\nAnswer: 3\/8, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 1\/4*q**3 + 1\/4*q**5 + 0*q**2 + 1\/2*q**4 + 0*q.\nAnswer: q**3*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.01 in 3, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13 - -8. Let u be (-5)\/(-10)*(-1 - h) - 6. Is 4100\/28 - u\/7 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0149325 * -0.4\nAnswer: 0.005973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 AM and 1:49 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes after 4:05 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -25*a**2*f*i - 2371*a**2 + 102*a*i - 2*f + 21664642*i wrt a?\nAnswer: -50*a*f*i - 4742*a + 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -580*3\nAnswer: -1740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.0392 - -2.0392. Let f = 5 - 5. Suppose 2*k + 4 = -f. Sort k, m, -2\/5 in ascending order.\nAnswer: k, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b - 20 - 152. Calculate the common denominator of 67\/28 and ((-30)\/40)\/(6\/b).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(500)*-1 + 0 - sqrt(500) - sqrt(500)*2*5)**2 - ((sqrt(45)*-1 + sqrt(45))**2*-2 + sqrt(270)\/(sqrt(18)\/sqrt(3))).\nAnswer: -3*sqrt(5) + 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13582?\nAnswer: 2, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -2*n + 1 - 7*n**2 - 2 + 0*n. Let s = -9 + 3. Let v be 10\/s - (-4)\/6. What is t(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6199?\nAnswer: 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of -34 and -0.0251442.\nAnswer: 0.8549028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 5662155049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, 5, 1043, 15 in decreasing order.\nAnswer: 1043, 15, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 0, 5\/6, -1, 93.085.\nAnswer: -1, -0.5, 0, 5\/6, 93.085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -36.1452 * 4.\nAnswer: -144.5808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/2, 30040, -3, 3, 1?\nAnswer: 30040","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 272 divided by 17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 17*d = -22*d + 22, -3*d + 26 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 2*f + q - 5 = 0, 0 = 5*f - 2*q - 3. Let o be -4*f\/2 + 2. Suppose o*y - 5*y = -115. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, r: 2, f: 9, i: 3, a: 1, d: 2}. What is prob of sequence fir?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 9) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 94.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1 and 21771522.\nAnswer: 21771522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2894525369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -4*s**3 - 4*s**3 + 7*s + 12*s**2 - 261 - 10*s**2 + 358 + 4*s**3 in the form n*s**2 + w*s**3 + a + l*s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 + 17. Let b = 3 - 2.8. Is a smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -64 + 69. Let b be ((-39)\/(-26))\/(3\/(-8)). Let x be b\/18 + (-56)\/(-90). Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrqezqs. What is prob of sequence rqs?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 76190 and 1318087?\nAnswer: 13180870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 2*s**2 + 2*s - 85. Let d be u(-9). Which is bigger: 66 or d?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 204 divided by -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 48\/131 - 1165\/3537. Let k(o) be the first derivative of 0*o - 28\/45*o**5 - 20 - 10\/3*o**4 - 100\/27*o**3 + 125\/9*o**2 - d*o**6. Factor k(f).\nAnswer: -2*f*(f - 1)*(f + 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 220 + 80 = 4*f - 5*w, 226 = 3*f - 4*w. Let b = -64 + f. Put 2, b, 0 in increasing order.\nAnswer: 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lh when two letters picked without replacement from {h: 6, t: 6, l: 4, m: 2}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -2*k + 7*k - 1826, k - 361 = -4*q. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes before 3:09 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*r**3 - 150*r**2 - 27*r**5 + 94*r**4 + 92*r**4 - 186*r**4 wrt r.\nAnswer: -1620*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1*((-4 - -4) + 3). Let d = -46.1 + 46.1. Which is the second smallest value? (a) r (b) -4\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 27 (b) -8 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*c + 24*c - 35. Suppose -5*n + 66 = -3*q, n + c*q - 33 = -3. Solve -y - n = -4*d, 0 = d + y - 10 - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37782978*0.2.\nAnswer: -7556595.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.02 + -0.62. Let z = -0.4 - w. Which is the third biggest value? (a) z (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 832*f = -6107 - 3877 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 8*q + 12 = 0, u - 143*q + 142*q = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 110 + 65. Suppose -11*y + 6*y = -f. Suppose y = -19*m + 24*m. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -4*z**2 - 3*z + 1. Let o(h) = -3*h**2 - 2*h + 1. Let k(c) = 4*i(c) - 5*o(c). Calculate k(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 + 13*g**2 + g - 25. Let z be j(13). Is 1*(399 - z\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -335.478 or 1?\nAnswer: -335.478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 593 - 232. Let m(c) = -c - 2. Let p be m(-4). Suppose -n = -g - p*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*m**2 - 102*m + 25*m**2 + 102*m + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6 - 8\/6*3. What is the derivative of -z*w + 2*w - 6*w**2 - w**2 - 9 wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -33724*g. Let a(b) = 6*b**2. Calculate n(a(t)).\nAnswer: -202344*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**2 + i. Let j be 2 - (-1)\/((-2)\/14). Does 17 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/22 and -59\/60839110.\nAnswer: 669230210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/11 in -11, 2\/9, 5\/56, 1\/8, 24, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -5*r**4 - 1065*r**3 + 3360*r**2 + 26060*r + 30240 = 0.\nAnswer: -216, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 46 = -6. Suppose a + f = x, -3 = -4*x + 3*a + 40. Suppose x*s - 1603 = 6*s. What is the remainder when s is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/4 + 5\/(-4). Let i(p) = -13*p**3 - 10*p**2 - 6*p - 1. Let a(t) = 14*t**3 + 12*t**2 + 7*t + 1. Let s(y) = 6*a(y) + 7*i(y). Determine s(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 9625*h + 567887. Calculate n(-59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -18*t. Let f(c) = -4*c**2 - 11*c. Determine r(f(x)).\nAnswer: 72*x**2 + 198*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1518 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.29521 in -4, -2\/5, 7\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v + 43 + 7. Suppose v = -2*u - 0. Let z(b) = b**2 + 5*b. Let x be z(u). Solve -5*k + 4 + 6 = x, -r = -5*k + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 124 - 493\/4. Let n = -48 - -46. Let j = 110 + -110.1. What is the nearest to j in n, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9493 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (-3 - (0 + -1 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/3875 or 1?\nAnswer: 6\/3875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 AM and 11:04 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.1 (b) 6.9 (c) -1\/3 (d) 7\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 3*p - 19654 = 0, 0*q - p + 58972 = 3*q. List the prime factors of q.\nAnswer: 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6*(5\/(-6))\/(-5). What is the remainder when 30 is divided by t\/(-2) - 33\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1420 + 263 = 83*b + 16*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of -v**4\/8 - v**3\/6 + v**2. Let r(n) = -46*n - 8. Let a(t) = -25*t - 4. Let c(w) = 7*a(w) - 4*r(w). Determine -2*c(o) - 7*y(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 15*((-2436)\/20)\/87?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 21643 - 14851. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 389692268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -4*k**3 + 2*k**2 - 10*k - 6. Let a(t) = -8*t**3 + 3*t**2 - 21*t - 10. Calculate 3*a(f) - 5*o(f).\nAnswer: -4*f**3 - f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - 3*o - 9 = 0, 0 = -8*k + 11*k + o + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 1 e when three letters picked without replacement from {g: 2, e: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, -7 in decreasing order.\nAnswer: 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + 25. Let f = h + -8. Let g = 90 - f. What is g rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 times -1.46\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 198*b - 182*b = -208. Is -23\/2 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 13326577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00599791 to six dps.\nAnswer: -0.005998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 194659244*d**2 - 112933087*d.\nAnswer: 389318488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -4+6567.2663\nAnswer: 6563.2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**2 + i**2 + i**3)*(2*i - i - 3*i) + 1 - i**4 - 1 - 3*i**4 + 7 - 7 - i**2 + i**2 + i**4.\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -4*y + 9 + y - 6*y + 8*y. Let n be f(9). Suppose 5*p = -n*p + 20. Solve 0 = -v + p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the first derivative of -4*i**3 - 8. Let r(g) = 2*g**2. Determine t(r(z)).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6534 is divided by 549.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -6*a + 336. Suppose a = 2*f + 16. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*n - 22920 + 23014 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express m**2 + 630352*m - 630351*m + 269 + 3*m**2 in the form h*m + s*m**2 + a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {u: 2, p: 5, h: 4, l: 2, e: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50820*145.\nAnswer: -7368900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2)*(59*o - 35*o + 19*o)*(1 + 1 - 1).\nAnswer: -86*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 69*g**2 + 17*g - 2. What is the tens digit of w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 - 2.5. Let q = -164.4 - -165.1. Let m = q - y. Which is the closest to 0.2? (a) m (b) 1\/6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**3\/15 - 66*n**2\/5 + 320*n + 1000\/3.\nAnswer: 2*(n - 50)**2*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -61808 at most -61927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -7443100 rounded to the nearest 10000?\nAnswer: -7440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 6*r + 72. Let u be p(-11). Solve u*g - 7*g = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165120398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 311 - 159 = 10*y - 8*y. Calculate the greatest common factor of y and 65284.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002483 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zie when three letters picked without replacement from tzztbie?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be 21*(-3 + 40\/12). Let h(n) = -n**3 + 7*n**2 + 5*n - 6. Let m be h(g). Solve -4*q - 9 = -m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -37356 (base 8) to base 7\nAnswer: -64653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/8? (a) -3\/26 (b) -4 (c) 1\/92 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-56))\/(-3)*(-20150)\/(-775).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.026 - -37.974. Let v = t - 39. Sort -4, 2\/47, v, 5 in descending order.\nAnswer: 5, 2\/47, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and -0.0214408.\nAnswer: -0.00428816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 - y**2 - y + 1. Let j(i) = 4*i**3 + 2*i**2 - 11*i - 1. Let a(l) = -5*h(l) + j(l). Calculate the remainder when a(5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*j**2 - 6*j**2 - 3*j**3 + 158*j + 6*j**2.\nAnswer: -3*j**3 + 158*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(720)*2)\/sqrt(9)*6.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 3 + 2)*(2*t - 3*t + 0*t) + 55 - 72 + 47 - t to l + y*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 278, 1129, 2566, 4589, 7198, 10393?\nAnswer: 14174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = q - 5, -2 = 4*s - q - 11. Let m(f) = f**2 - s - 2*f**2 + 4*f**2 - 3*f. Let n be m(-2). Solve 2*i + n = 6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0792 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**3 - y**2 - 13*y - 12. Let u(t) = t**2 - t - 1. Let m(q) = -k(q) + 6*u(q). Calculate m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (395 - 399)\/((-3)\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -360252 + -383670. Let y = 443922 + j. What is y rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.82 + -25.62. Let z = t + 5.2. Round z to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*w**2 + 0*w**2 + 12*w**2 - 75*w**2 - 3 - w to z + n*w + v*w**2 and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - u = -17 + 2, -u + 3 = w. Suppose -5*f + 2*j = 0, -j = -1 - w. Suppose -o - f*o + 12 = 0. Solve 5*l + o = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 8*y + 294 = 0. Calculate the remainder when 143 is divided by y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 24\/27*(3219\/(-58))\/(-37)*(-18)\/(-20)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -29802448, -59604897, -89407346, -119209795?\n\"Answer: -29802449*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8822635 and -0.03.\nAnswer: 264679.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8210 + 8450. Let y = -3.6 - 1.4. What is the second biggest value in y, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -7*m**2 - 4*m - 4. Let v(o) = -o**2 - 2*o - 1. Let u(k) = -2*v(k) + w(k). Find the first derivative of u(b) wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -3*d + 144. Let h be r(36). Suppose -4*x = -2*x - 18. Let p = h - x. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2\/19 (b) 1\/11 (c) 21 (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 2\/71 (b) -0.6 (c) 0.1672 (d) -1\/6 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -j + 1 = 4*m, -2*m - 3*j = -4*m - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**2 + 4*t + 1. Let r be -3*(-6)\/(18\/(-5)). Give g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*g**2*k**2 - g**2*k + 18*g**2 + 4*k**2 - 17 wrt g.\nAnswer: -4*g*k**2 - 2*g*k + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -9*h**3 - 437*h**2 + 437*h**2 - 3 in the form x*h + m*h**2 + r*h**3 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/432 and -19\/8316?\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n\/((n**(-2\/7)\/n)\/n)))**21\/(n\/n**1*n)**(-19)*n**2*(n**(-1)\/n)\/n*(n**0)**(-2\/145) assuming n is positive.\nAnswer: n**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 7292?\nAnswer: 7292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -49 - -59. What is the highest common divisor of h and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7615.757 days in milliseconds?\nAnswer: 658001404800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 2*h + 6. Suppose 0 = -h*n - 0*n. Suppose 4*w - w - 24 = n. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-21)\/(-14))\/(6\/5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 49, -0.141, 0.3, 2\/15, 1\/2 in descending order.\nAnswer: 49, 1\/2, 0.3, 2\/15, -0.141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -754 - 782. What is b rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82539 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 16\/6 + -2 + (-650)\/(-117) and -5\/57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 3 h when four letters picked without replacement from fhfqqzhqqhvv?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 23 (base 6) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2\/5, 8854, 0.038 in decreasing order.\nAnswer: 8854, 0.038, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -732 (base 14) in base 2?\nAnswer: -10110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-7)\/(-14) + 3\/2. Suppose -4*d = -g + 236, 4*d - g + 2*g + 244 = 0. Let i be (-87)\/d - 4\/16. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 4, 3, -8.\nAnswer: -8, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*i**2 - 10*i**2 + 13*i**2)*(2 - 2 - i) + (4*i - 4*i + 2*i**2)*(-31*i + 15*i - 7*i) + i**3 - 2*i**3 - i**3.\nAnswer: -38*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) 555 (c) 842\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8)\/(-864)*-6*((-6)\/(-3) + 2). Let o(m) = m**2 + 2*m + 3. Let h be ((-1)\/2)\/1*-10. Let f be o(h). Sort f, i, 5, -3 in decreasing order.\nAnswer: f, 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 24 in -2\/11, -4, -2.7, 39, 1\/11?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -38722.88 and 61?\nAnswer: 38783.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0008542 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 4*s - 72, -3*s = l - 1 - 5. Solve 0 = 3*w - l, 5*w = 2*d + 23 + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -4*a + 9. Let v(o) = -4*o + 1. Let k(m) = m - 1. Let z(i) = -6*k(i) - v(i). Calculate 3*r(x) - 5*z(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -1.214057 to 2 dps.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 148530.03 months?\nAnswer: 123.775025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 478135769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17\/146 or 1?\nAnswer: 17\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/6*2 - 1. Let u be 15\/(-3)*(h\/(-2) - 2). Let t(p) = -2*p**3 - 3*p**2 - 4*p - 4. Let s be t(-3). Solve -5*w - s = 5*l, u*w - 4*l + 2*l = -14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 378 divided by 6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 77857\/10 - 7779. Calculate the common denominator of 65\/951 and h.\nAnswer: 9510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1103, 50, 0.1, -33\/4, 1\/2.\nAnswer: -33\/4, -0.1103, 0.1, 1\/2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9\/5 + 23\/10. Let u = -58 - -405\/7. Sort -1, u, j in decreasing order.\nAnswer: j, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - y - 5, 0 = 3*t + 22*y - 20*y - 11. Let z(p) = -3*p**3 - p. Let o be z(-1). Solve o*v + 4 = -r - 1, -12 = t*v - 2*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -17985*l - 3411.\nAnswer: -17985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 114 in 5, 1, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3734 and 2.\nAnswer: 3734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uluauuuuauuuul. Give prob of picking 2 l, 1 a, and 1 u.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10.856 - 10.9. Let j = -0.044 - x. Which is the closest to j? (a) -3 (b) 2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*r = 4*r + 371. Suppose -5*p = -n + 41 - 148, -r = -3*p - 5*n. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -5, -1\/6, -0.2, 11287, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 106\/1537 + 10362164004\/(-58). Round h to the nearest one million.\nAnswer: -179000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 74765 and 105450.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 - (17 + 12) - (3 + 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate b*h**3*w + 62*b*h*l*w + b*h*w**2 - h**3*l - 9*h**3*w**2 - l*w**2 - 1 with respect to b.\nAnswer: h**3*w + 62*h*l*w + h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 + 25.4. What is the third smallest value in -5, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from prup. Give prob of sequence ur.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3*i - 5 = 0, 4*q + 0*i = i + 19. Solve y = -3*v + 1, q*y + 9*v - 11 = 4*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -626 divided by 2147\nAnswer: -626\/2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -13 + 9 + 79 + -12\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g + 4. Let k(v) = -v - 1. Suppose 8*d + 15*d = -61 - 8. Give d*k(m) + u(m).\nAnswer: 4*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -87 + 88. Let q = -8 - -8.6. Let a = 0.2 - q. Put 3, a, u in descending order.\nAnswer: 3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from shssrshhrhrhrrhrh. Give prob of picking 2 r.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y - y + y + 1)*(68 - 30 - 107)*(-2 + 2 - 2).\nAnswer: 276*y + 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + c - 3, 0 = 3*z + 5*c - 6 - 2. Let f be (z\/(-4))\/((-10)\/(-8)). Sort -3, f, -0.1 in ascending order.\nAnswer: -3, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 44 and 1624456.\nAnswer: 17869016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 - 26. Let t be 21\/6 + 5\/q. Solve -8 = 5*d - t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 266, 380, 686, 1280, 2258?\n\"Answer: 16*p**3 + 2*p + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s + 168. Let o be m(-21). Let u = o + -129. Sort 0.1, -2, u in descending order.\nAnswer: 0.1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/313, 0.1, 2, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 176 a factor of 48226992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -11 divided by 2838345?\nAnswer: -11\/2838345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 504054671.83 - 219?\nAnswer: 504054452.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 2*o**2 - 191*o - 23084. Calculate i(165).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i**4 + 27922012*i**3 + 48727436094004*i**2 + 48727352327988*i - 97454816344008 = 0. What is i?\nAnswer: -3490251, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b\/(b**(-2)\/b))\/(b\/b**4)*b\/(b\/(b\/(b\/((b**(-3)*b)\/b))))*b**(-2\/5))**(-32))**(6\/31) assuming b is positive.\nAnswer: b**(-3456\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x**2 + 1 - 1)*(2 + 2*x - 2) - 16*x**3 + 768*x**3 - 162*x**3 to the form j*x + o*x**2 + n + h*x**3 and give h.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + s + 113548 = 0, 11*n - 151416 = 7*n + 4*s. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -357 + 9*n + 5*n - 9*n - 4*n - 6*n in the form r + w*n and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s**3 - 11024*s**2 - 11028*s = 0. What is s?\nAnswer: -1, 0, 2757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0 (c) -0.17 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 2645615.\nAnswer: -1\/2645615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -1132691 and -3.16.\nAnswer: 3579303.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k\/(k\/(k**(-7)*k*k)))*k**(-2)*k*(k**(1\/4)*k)**39)**(-16) assuming k is positive.\nAnswer: k**(-860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/((r\/(r*((r\/r**1)\/r)\/r))\/r))**(-2\/5)*(r*r\/r**(2\/19)*r)\/(r*r**4*r) assuming r is positive.\nAnswer: r**(-59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, l: 3, h: 2}. Give prob of picking 2 z and 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4\/14 - (-13)\/(182\/80).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 15 = -2*z, -5*t + 0*z + 57 = -z. Suppose 0 = 4*g + 17*f - 19*f - 96, 3*f - 54 = -3*g. What is the highest common factor of t and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-12)\/5)\/(30\/(-4)))\/(830\/(-2075)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*h**4*y**3 - 5552*h**4*y + 3*h**2*y**3 + 34*h*y**3 wrt h.\nAnswer: -72*h*y**3 - 133248*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be -28 - -85 - (-56)\/7. Solve y = 3, x*y - 10 = 4*a + 67*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/8, -1631, 5?\nAnswer: -1631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 247402356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 0*k + 9 + 12*k**2 + 8*k**3 + 5*k - 9*k**3. Let f be l(10). Suppose 161 = 6*n - f. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12352043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -52410*g*i**3*q + 13167*g*i**3 + 41*g*i - 2*i**3*q wrt q.\nAnswer: -52410*g*i**3 - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x - 3*x - x + (3 - 3 - 1)*(x + 3 - 3) + (-5 + 0 - 1)*(-x + 3*x - 3*x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express ((-276 + 161 + 149)*(-4 + 3 + 2) + 3 + 0 - 4)*(-4*v + 2 - 2 + (-5*v + v + 6*v)*(1 + 1 - 1)) in the form g + u*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -4*w - 7*t + 3, -5*t - 3 = 4*w. Find v, given that -1\/2*v**5 + v**w - 1\/2*v - 1\/2*v**4 + v**2 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 515 and 45.\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 + -8 - (17 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -590, -1458, -2326, -3194, -4062, -4930?\nAnswer: -5798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2312, 4114, 5406, 6188?\nAnswer: 6460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -5*j + 111. Suppose 257 = -3*b + 2*x, 2*b = 4*b - 5*x + 175. Let t = b + 97. Solve 5*s = 2*z - 3*z + j, 4*s = -3*z + t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1880 - -16916\/9. What is the third smallest value in 57, d, 0.5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + h = -3, -17 + 3 = -2*y + 3*h. Suppose 0*b - 24 = -2*b. Let r = b - y. What is the least common multiple of r and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 - 77*i + 80*i + 2*i**2 - 13*i**2 + i**4 - 3*i**3 = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (72\/(-54))\/(30\/9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 3. Suppose 9*r = g*r + 5. Let f(n) = 0*n - n + n**2 - r + 0. What is f(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 3*v - 12, 4*a + v = 5*v + 44. Let n(q) = 5*q - q**3 - 2*q + 2*q**3 - 18*q**2 + 7*q**2 + a. Is 5 a factor of n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 298?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) 276260 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2387 in -5, 1\/3, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 65 - 65. Which is the second smallest value? (a) 31 (b) -4\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84845 is divided by 84842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q + 5*i = 6*q + 174270, -4*q = 5*i - 232355. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 2*i + 720, 0*i - 2*i = -8. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 3*p - 14, -h = -4*h + 3*p + 6. Let f be h - (-3 + 1 + 1). Suppose 4*r = 2*g - 34, 3*g = 4*r - 5*r - f. Which is smaller: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 8*d**2. Let z(s) be the first derivative of -s**2 - 7. Give z(q(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 194995845?\nAnswer: 3, 5, 11, 393931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -75, -560, -1859, -4380, -8531, -14720?\n\"Answer: -68*p**3 + p**2 - 12*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/71501001 and 47\/31?\nAnswer: 2216531031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*v + 5*v - 3*v**2 + (2*v - 2*v + 2*v)*(2*v + 2 - 2) + (2*v**2 + 1 - 1)*(0 + 4 - 1) to the form q + a*v + s*v**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = l + 2*t, -4*l + 2*l - t = -5. Let h(k) = -43*k**2 - 25*k**2 - 34*k**l + 76*k**2. Let i(d) = -2*d. Give i(h(w)).\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-4)*2\/5)\/(2182\/(-5455))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -3*g**2 - 3*g + 6. Let w(b) = b + 0 - 1 - 2*b**3 + b**2 + b**3. Let j(u) = -v(u) - 3*w(u). Differentiate j(s) with respect to s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 77 (b) 0.1 (c) 4\/7 (d) 1.29 (e) 1\/5 (f) 31.1 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -3.06 (c) -3 (d) -9\/8 (e) -4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3576 and 2980?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 3 t when four letters picked without replacement from {t: 13, y: 2, d: 5}.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 479570364.\nAnswer: 2, 3, 7, 13, 146389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 188 and 66124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-384)\/(-720) + (-2)\/10 - (-94368)\/18.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 470 (base 12) to base 15.\nAnswer: 2e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -286, 9, -141 in descending order.\nAnswer: 9, -141, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8966 is divided by 2239?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2*((-72)\/(-27)*12\/8 + 4151). Round o to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 13 = f, -8*h + 5*h - 48 = -4*f. Calculate the greatest common divisor of f and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 69, 116, 163, 210, 257, 304?\n\"Answer: 47*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -4*k + 11. Let q(r) = -2*r + 5. Let h be (-1 - -5 - 2)\/((-102)\/663). What is h*q(s) + 6*z(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (18277 - 18277 + 150*t)*(2*t + t - t) - 27*t**2 + 115 - 115.\nAnswer: 273*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**17*b)**(2\/21)*b**(-14)\/b*b*b\/(b**(-20)\/b)*b assuming b is positive.\nAnswer: b**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find b such that b**2\/3 + 1888*b + 2673408 = 0.\nAnswer: -2832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 508*y = -192490506 - 56327894. Round y to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 q when four letters picked without replacement from yqqqyq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24348 - 24358. Sort 1, 0, i in decreasing order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -372297510 divided by -6?\nAnswer: 62049585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -4*u - g, -3*u = -0*u - g - 11. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 5046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 571645007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * 0.196.\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10 in -40, 0.2, 14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**3\/5 + 84*j**2 - 429*j\/5 - 846\/5.\nAnswer: 3*(j - 2)*(j + 1)*(j + 141)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 6*i. What is the remainder when 33 is divided by (-4)\/(-14) + ((-188)\/(-28) - i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4837713 minus -1369751?\nAnswer: -3467962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 73783098 and 27?\nAnswer: 221349294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*o - 3*o + 3*o)*(1 - 2 + 3) - 2*o - 5 + 5 - 390 - o - 1217 + 259 to the form q + u*o and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -7*p**2 - 173*p + 507. Calculate t(3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of f**6\/720 + f**5\/90 - 11*f**4\/144 + f**3\/6 + 74*f**2. Factor i(t).\nAnswer: (t - 1)**2*(t + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 + 6*u + 7. Suppose 4*z = -0 + 28. Let a be w(z). Suppose a*m + 75 = 3*m. Solve -5*c - 5 = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -30 - 33 - 34 - 30 + 129 + z**2. Let i be 22\/6 + (-2)\/(-6). Determine w(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(42)\/((sqrt(12) - sqrt(48))\/sqrt(2)))**2*-6 + ((sqrt(525)\/sqrt(3))**2 - (sqrt(7) - (3 + sqrt(7) + -4))).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 8*i**3 - 244*i**2 + 565*i - 143. Calculate d(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7995 divided by 5?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -45, -118, -191, -264, -337?\n\"Answer: -73*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -475834\/13 + 36826. Let m = t - 30041\/130. Find the common denominator of 1\/(-4)*(-36)\/8 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9\/2 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 10156353577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 13289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-29)\/l)\/l*l\/l**(-2\/23)*(l*(l**(-1\/32)*l)\/l)\/(l*(l*l*l\/(l**(-13)\/l))\/l) assuming l is positive.\nAnswer: l**(-33815\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -1 + 7*x**2 - 6*x + 0*x**3 - 3*x**2 + x**3. Let d be a(-5). Solve 0 = d*n + 16, -s - n + 21 = -6*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3958626 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 34845301 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 5 = -c - 26, 5*c - 4*t = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1 not equal to 2\/2782046765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**2 - 6*s + 6. Let r be p(5). Let i(f) = f + 1. Let l(h) = 10*h - 2. Let q(w) = r*l(w) - 6*i(w). Differentiate q(b) with respect to b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 127 = -142 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 193 and 241057.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 21 + 1 = 0. Let m = 13 + k. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 12:32 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.874 - 0.4.\nAnswer: -4.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -r*t*z**2 + 18*r*z + 3*r - 2*t*z**2 - 3*t*z - t - 9172*z**2 + 3*z wrt z.\nAnswer: -2*r*t - 4*t - 18344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(12) + 2).\nAnswer: 12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -4, -0.14, -40, 2\/13, -0.3, 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.28 - -0.08. What is the second biggest value in 1, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -4*t - 6172, 0 = -3*o + 23*t - 24*t + 3693. Is 176 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -332 - -331. Which is smaller: -17\/29 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8722 + 26241. What are the prime factors of h?\nAnswer: 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**2 + 27*a + 58. Let x be l(-24). Let w = -13 - x. Suppose 51 - w = 5*t. What is the smallest common multiple of t and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 4, x: 2, k: 8}. Give prob of sequence ckk.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -141.916 - -142. Let f = a - 0.184. What is the nearest to 2 in f, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 56 + -53. Suppose -4*t = -5*k + d, -2*k + 0*k - t + 9 = 0. Solve 12 = -k*n - n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -22 - -9.8. Let r = n + 12.200011. Round r to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -438, -487, -546, -621, -718, -843, -1002?\n\"Answer: -y**3 + y**2 - 45*y - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -3*p**3 - 194895*p**2 + 779616*p - 779628 = 0. Calculate p.\nAnswer: -64969, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 - 22. Let l(r) be the second derivative of r + 1\/6*r**3 + 0*r**h - 1\/12*r**4 + 0. Find the second derivative of l(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3046 + 1?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -143 * 4.\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7723831 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11 and 385.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 11) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -368 divided by -92\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 173105.\nAnswer: 5, 89, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/(-15))\/((-3)\/((-60)\/8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 166, 2\/7, -2\/3.\nAnswer: -2\/3, 2\/7, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 205, 0.\nAnswer: 0, 12, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - w + 2)*(4116 - 1474 - 1951)*(-2 - 3 + 3).\nAnswer: 1382*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of x**2\/2 + 1. Let j(t) = 4*t**2 + 1. Determine f(j(p)).\nAnswer: 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17 - -34. Let w = 6 - -16. Suppose -18*t = -w*t + 748. What is the greatest common divisor of y and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-68000)\/(3\/(-3)) - 2. Let d be q - ((2 - 1) + -3). Round d to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5587440146?\nAnswer: 2, 1627, 1717099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.8128 in 1\/3, -3, 2, 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*x**2 + 200*x**2 + 73*x**2 - 15*x**2.\nAnswer: 273*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -172 = 9*l - 37 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 958 and 294106?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccptpitw. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xnfdndtdftdttftd. Give prob of picking 1 t and 2 n.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*t**2 + 267 - 267 - 74*t**2 - 862*t**2.\nAnswer: -1017*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 0.04 (b) -2\/9 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1445*v + 86*v - 53877 = -671*v + 188343 for v.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -27 - -46 - (37 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 27823739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -c - 4*u + 95, 5*c + 5*u - 160 = 0. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15530*d**2 + 7746*d**2 + 7751*d**2.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3*(2 - 3)\/(-1). Suppose -y - 5*l + 19 = -m, 5*y + l = 62. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 11082614, 3.\nAnswer: 0.4, 3, 11082614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 46\/10587 and -61\/66.\nAnswer: 232914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 143695003?\nAnswer: 139, 1033777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3003 = 35*v - 68*v. Solve -35*f - 49 = v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k + 8*k - k)*(0 + 0 + 2*k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 7\/105*-25*(-3)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*k**4*z**2 - 4*k**3*z**2 + 245*z**2 with respect to k.\nAnswer: 12*k**3*z**2 - 12*k**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 1, k: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*z**3 - 78*z**3 - 33*z**3 + (-z + 3*z - 3*z)*(11*z + 19*z + z)*(-6*z - z + 5*z) - z**3 + 4*z**3 - 4*z**3.\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -2*y**3 + 4*y + 4. Suppose -3*p + 2*d = -2*d + 2, 2*d = p. Let m be z(p). Solve m = -5*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1\/2)\/((-30)\/50))\/(85\/(-17))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {h: 2, p: 1, f: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + ca6?\nAnswer: ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 809623 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 363361\/13 bigger than 27952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 21*h**3 + 10*h**2 - 114*h + 72. Let j be q(24). What is j rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -144 - l**2 + l**2 - 4727*l - 4077*l**5 + 4726*l wrt l?\nAnswer: -81540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 211311669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 1805*c**3 + 246399125*c**2 + 51873440*c + 2730180.\nAnswer: 5*(c + 136509)*(19*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 241537323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*f = p + 148, 0*p - 30 = -f + 4*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -60 (b) 2\/23 (c) -0.5 (d) -0.45 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1676457\/572 - -11723\/4. Find the common denominator of v and 41\/143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 15*b**2 - 275639*b + 257250.\nAnswer: (b - 18375)*(15*b - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2425d9 - 5?\nAnswer: -242600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -70200 to the nearest one thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -20 + 11. Let s be 30\/9*z\/(-6). Solve -2*x = -s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.6793 - -179?\nAnswer: 180.6793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 172, -3901, -4, -1 in increasing order.\nAnswer: -3901, -4, -1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 13*y - 1. Suppose -3*p - 3*l = 9, 6*p - 3*p + l = -1. Let h be d(p). Calculate the highest common divisor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7.5 and -2568554.\nAnswer: -19264155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the first derivative of -v**2\/2 + 673*v - 9577. Let p(s) = s**2. Calculate p(t(k)).\nAnswer: k**2 - 1346*k + 452929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -73 + 25. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i**4 + 150*i**2 + 226*i - 49*i**2 + 170*i - 56*i**3 + i**4 + 237*i**2 = 0. Calculate i.\nAnswer: -1, 0, 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t, 0 = -3*z + 5*t + 273 + 90. Let b = 165 - z. What is the smallest common multiple of 32 and b?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7696\/407 - 20\/22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.6 + -3. Let n = -0.3 + o. Let i = -363 + 365. What is the closest to i in 3, -1, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (24\/(-8))\/(3\/(-2857)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 34 - 2 + 11 + 208*x - 41.\nAnswer: 208*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 650, 5, 3, 19, -2 in increasing order.\nAnswer: -2, 3, 5, 19, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2\/7 + 7216*w\/7 - 21666\/7.\nAnswer: 2*(w - 3)*(w + 3611)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/11, -5.952, 20726?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*w - 3*w + 0*w + 1 + 2*w - 1 + (-2*w - 2*w + 2*w)*(-3 + 0 + 5) - 2*w - 14 + 13 + 7*w + (-90 + 47 - 152)*(6*w - 4*w - w).\nAnswer: -191*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31298653.147113 + 0.5.\nAnswer: 31298653.647113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 3*o, 4*o = 3*o + 4*w. Let t be o\/((-3)\/((-6)\/(-4))). Suppose t*n + 28 = -2*n. Round n to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-38)\/57)\/((5 + -2)\/(-2277)) is divided by 143.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 7*k**2 - 10*k - 16. Suppose -2*w + 4*w - 184 = 0. Suppose -v + 69 = 2*v + i, -4*v - 5*i = -w. What is the remainder when z(-4) is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -473, -398, -289, -146, 31?\n\"Answer: 17*s**2 + 24*s - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.68 and -528335.\nAnswer: -528333.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - 0. Suppose -o*y + 3*b = 44, 44 = -0*y - 4*y + 2*b. Let n = -5 - y. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 2*l + 6, -n - l = -0*l - 5. Solve 5*s = 6*s - n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 2\/9, -5, 3\/2, 0.3, 3597?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -217907577*h + 108953812*h + 108953790*h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 182 and 18727410.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 24 + -29. Which is the nearest to 0? (a) y (b) 11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*a + 0*a - 2*a + (3*a - 2*a + a)*(0 + 1 + 0))*(-6 + 3 + 1)*(127 - 35 + 67) to the form y*a + z and give y.\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 478 is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 479 (base 15) to base 16.\nAnswer: 3f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 667739 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bhj when three letters picked without replacement from zzhhjzzzhbzhjjbjzbz.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2*d + 5*w = -3, -5*d = -5*w - 15. Let b(n) = 2*n - 3. What is the smallest common multiple of d and b(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - n - 27 + 112*n**2 + 28 - 2*n**4)*(2*n - n + 0*n).\nAnswer: -2*n**5 + 112*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -328 = 2*p + 2*b, -172 = 2*p - p + 5*b. Let m = -272 - p. Let d = m - -226. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -5*o**2 + 99*o + 4. Let p be t(19). Is p bigger than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 48, 109, 216, 381, 616, 933, 1344?\n\"Answer: 2*k**3 + 11*k**2 + 14*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 309 + 0?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -d57 + -3d?\nAnswer: -d95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (128\/704)\/((-2)\/(-11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 492231852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2784 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - -412?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3326013576 rounded to the nearest one million?\nAnswer: 3326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/10*65\/(-26). Suppose -x = -3*l + a*x - 96, -5*l - 152 = -x. Let p be l\/(-20) + (-3)\/2. Solve 2*w - 4*w = p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47*t - 2*t**2 + 46*t - 93*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 4*c - 24, 5*c = 6*t - 4*t - 28. Suppose 3*z - 4*l = 4*z - 10, -t*z - l + 10 = 0. Solve -z = 4*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5666493.6 rounded to the nearest 10000?\nAnswer: 5670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0241744 rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/6*2*4. Let n = 31 + -28.1. Let f = 2.5 - n. Which is the second biggest value? (a) -0.5 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -d58 - 0?\nAnswer: -d58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48788 is divided by 255?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 + 18*f - 51. Let i be l(14). Suppose i*s - 44146 = -8331. Let k = -4632 + s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 585520 and 2482830?\nAnswer: 258214320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0\/(-1 + (2 - 0)). Let q be 9 + -35*(v + -3). What is the greatest common factor of q and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 12, k: 2, o: 1, c: 3, s: 2}. Give prob of picking 1 c and 2 y.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add -0.22 and -29967.4.\nAnswer: -29967.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2 - 109\/2)\/(-12 - (-9069)\/756)?\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 43 + -49. Let m = 20 + y. Find the second derivative of -20*z**3 - 2*z + 10*z + m*z**3 + 0*z wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2805005 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 419 - 835\/2. What is the second smallest value in r, 0.5, -0.3, -0.53, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -9b029 (base 15) to base 11\nAnswer: -307270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(54) + sqrt(54) + sqrt(54))\/sqrt(6))\/(sqrt(3) - 1*sqrt(192))*4 - (sqrt(21)\/(sqrt(21)\/sqrt(3)) + -2 + 0 + sqrt(432) + -1).\nAnswer: -13*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/13 (b) -3 (c) -3\/13 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*k = -64*k + 2301 - 6045 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -48, -3, -4.\nAnswer: -48, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**2 - 4*c - 12. Let s(h) = 2*h - 8. Let a be s(7). Let v be d(a). Which is smaller: v or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22199?\nAnswer: 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1950287, -7 in increasing order.\nAnswer: -7, -1, 1950287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 21*c**2 - 3*c + 68. Let i be f(21). Suppose -3*s - 3*d - 32 = -11, -s - 19 = i*d. Let n(v) = v**2 + 2*v - 7. Calculate n(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 - 10*i - 22. Let p be u(-4). Factor 0 + 2\/15*m**p + 0*m.\nAnswer: 2*m**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1077*p - 1057*p = -2069*p - 130. Factor -20*y**p - 26\/3*y - 8\/3*y**4 - 14*y**3 + 0.\nAnswer: -2*y*(y + 1)**2*(4*y + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*m**5\/5 + 2*m**4\/5 - 6*m**3\/5 - 2*m**2 - 4*m\/5 = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 23256 and 829464?\nAnswer: 2488392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11? (a) -137 (b) -7.5 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -780.8744 + 786.8. Let t = m - -0.0744. Which is the nearest to -2\/3? (a) -3\/8 (b) -2\/3 (c) -0.4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**3 - 1867470*x**2 - 435931458846*x - 435929591378.\nAnswer: -2*(x + 1)*(x + 466867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -2*i, -3*i - j + 0*j = 20. Suppose 11*m = 8 - 41. Let y(d) = -d + 4. Let r(a) = 2*a - 7. Give i*y(s) + m*r(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2222.3 + 2222.44. What is the third biggest value in r, 2\/15, 1\/7, -3\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 + 15 + -53 - (-3 + -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13307, -26865, -40677, -54743, -69063?\nAnswer: -83637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of 26*v**3\/9 - 82*v**2\/9 + 16*v\/9 + 348. Factor r(c).\nAnswer: 2*(c - 2)*(39*c - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -9 - 0. Let m = 86 - 81. Let p(w) = w**2 + 2*w - 19. Let f be p(3). Sort m, f, x in ascending order.\nAnswer: f, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -51576*n**3 - 5*n**2 + 3304?\nAnswer: -309456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192) + sqrt(192) + -2 + sqrt(192) + sqrt(192))**2 + -1.\nAnswer: -128*sqrt(3) + 3075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -601 - -600. Let x = -6 + 4. Let g = -2 + 4. Which is the third biggest value? (a) x (b) 0.5 (c) g (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4d + 81?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 10930*c - 11051*c - 1452 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 34064748 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 12062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*u - 5*u + 14*u)*(u**2 - 5*u**2 + u**2).\nAnswer: -66*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n = 3*n. Let c(u) = -12*u - 4. Let s(k) = 10*k + 3. Let r(t) = -6*c(t) - 7*s(t). Let x be r(n). Solve -2*p + 3*y = 5, 2*p + 4*y = p + x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*-134.93\nAnswer: 134.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2*u**3 - 4*u**2 + u + 4. List the prime factors of b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*n + 78 = 27*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -97 bigger than -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s**2 - 24684*s + 3973984 = 0. What is s?\nAnswer: -6328, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k - 7. Let m be (-1 + 0)\/((-2)\/(-26)). Let l be f(m). Solve 0 = n + 5*b + 7, 3*b - l = -4*n - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 0.3, 2.1, -4 in descending order.\nAnswer: 2.1, 0.3, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v**5\/9 - 154*v**4\/9 - 406*v**3\/3 + 466*v**2\/9 + 3980*v\/9 + 272 = 0 for v.\nAnswer: -68, -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 43 - 67. Is 14948\/6 + 176\/f + 7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/((-7110)\/(-22211)) + 14 + -11. Let t = 348\/79 + s. Find the common denominator of 59\/5 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2302306871.\nAnswer: 83, 27738637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -118092 + -0.03.\nAnswer: -118092.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 44ba8 (base 14) to base 12.\nAnswer: 80740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 816 and 136.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 28223\/990255 + 2\/28293. What is the closest to 2 in 0.4, b, -0.06, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -99.181 take away 0.263?\nAnswer: -99.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 4.2858 * -0.1\nAnswer: -0.42858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 238224.1 minutes to microseconds.\nAnswer: 14293446000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36\/8*((-200)\/30 - -7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -65840 - -65825.9885. Let b = f + 14. What is b rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 1 and -620256306.\nAnswer: -620256305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8265960?\nAnswer: 2, 3, 5, 22961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - 2*a**2 + (1 - 4 + 6)*(-2*a**2 + 2*a - 2*a) + 5*a**2 + a**2 - 8*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -19773, -39539, -59305?\n\"Answer: -19766*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 120707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence koko when four letters picked without replacement from {c: 3, o: 1, k: 1, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 78018258 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1284 + 3696 = -158*h - 91*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4*-6775\nAnswer: -27100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 102713 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 492 (base 11) to base 6.\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*r - 513518 = -146251 + 318739. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 0.6 (b) 2\/5 (c) -1\/25 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 64080 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 w, and 2 k when four letters picked without replacement from wagwkwwsgksu?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 80887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0856 + -42144?\nAnswer: -42143.9144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 7*o + 6. Let k be c(-9). Let w be ((-2)\/k)\/(4\/(-6)). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7838 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be 9\/2 + -3 - 1. Let n = 921563\/42 - 21943. Let v = n - -6\/7. Put i, -3, v in decreasing order.\nAnswer: i, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.12 in 1\/17, -1, 12, -0.6, 2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + -21. Let o = 0.073 - 5.073. Let j be 8 + -13 + 5 + (-3)\/(-5). Sort h, j, o in descending order.\nAnswer: j, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/4*(-19)\/(627\/176). Which is the closest to -2\/9? (a) f (b) 1\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -4*c - 4*j - j, c - 5 = 5*j. Suppose -w = 4*i + 52, -5*w - 4*i - 217 + c = 0. Is -40 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24 and 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the first derivative of -y**3\/6 + 11*y**2\/2 - 9*y + 23. Let r(q) be the first derivative of i(q). Is r(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 - 8*b**2 + 8*b - 80. Determine i(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -164 + 1478\/9. Suppose 1 = n + 7. Let x be (-16)\/(-12) - (-2)\/n. Is z <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*i - 102*i - 510 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 9 = -2*z - 0*t, 4*t = -4*z - 12. Let a = 1 - -75. Suppose z*k = 4*k - a. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 191 = -182. Suppose -10*r + 16*r - c*r = 0. Solve -3*k - 4*g - 12 = 0, 5*k + r - 6 = 2*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-17 - (-1935)\/63) + (-3)\/42*-4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7425 divided by 1485.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31701?\nAnswer: 3, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 874*g - 2 + 2 - 873*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 9.147995 millennia in centuries?\nAnswer: 91.47995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c - 8 - 7 = -4*b, c - 16 = -5*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -18, 1, 0.21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n - 4 = 0, -5*v - 7*n + 10*n - 19 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 9 = 147. Let m = -13 - r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -320655.6 + 320822.6101. Let f = g + -167. What is f rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:27 PM and 4:43 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = 10188 + 2991. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, 56, -6 in decreasing order.\nAnswer: 56, 2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (25\/(-6) - -4) + 46\/156*-403?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 21 = -5*b - 0*b, 3*w = -4*b + 26. Let o(n) = w + 0 - 3 - 2*n. Let s(r) = -r - 1. Let u = -8081 - -8079. Calculate u*o(i) + 2*s(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 64445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 10 = 4*i. Suppose -c + 38 = -b, i*c = -0*c - 3*b + 61. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12280 is divided by 267.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:10 AM and 4:12 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Do 11 and 172\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes before 9:09 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*t + 53. Suppose 9*h - t - 24 = 0. Suppose h*s = -s + 135. What is the remainder when 161 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t**2 + 698156*t + 121855450084 = 0 for t.\nAnswer: -349078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 158627 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z - 4 - 16 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(180) + sqrt(180)*2 + sqrt(180))**2*-4.\nAnswer: -23040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -533068.8 rounded to the nearest 1000?\nAnswer: -533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*v = 67*v - 32*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 14.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*s + 45 + 21 = 6. Sort 2, s, 4, 347 in decreasing order.\nAnswer: 347, s, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30) + sqrt(90)\/sqrt(12) - (sqrt(120) + sqrt(120)*-4))\/(-2*(2*((2*sqrt(810) + sqrt(810) - sqrt(810)) + sqrt(810)) - sqrt(810))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.26 + 1.74. Let z = 0 + 1. What is the closest to -0.1 in z, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3743?\nAnswer: 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/4)\/((-2)\/4). Suppose r = 3*p - 0 - 21, p = -u*r - 9. What is the least common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -2*s**2. Let a(p) = 469089*p. Give a(c(k)).\nAnswer: -938178*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -3 times -167072\nAnswer: 501216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/6 + 9\/(-5))*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -85, -218, -351?\n\"Answer: -133*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -6563, -13414, -20445, -27650, -35023, -42558, -50249?\n\"Answer: j**3 - 96*j**2 - 6570*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y + l - 99, 9*y - 111 = 4*y - 4*l. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-7) + (-1750)\/(-196) - 8. Is 3\/1030 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19725 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81*k + 76*k + 10 = 0. Let y(d) be the third derivative of 4*d**k - 7\/24*d**4 + 0 + 0*d + d**3. What is the first derivative of y(r) wrt r?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -530*d**2 + 285168*d - 15064.\nAnswer: -2*(d - 538)*(265*d - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/342 in -0.3, -4, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1777 + 1693. What is the nearest to -2 in a, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1\/2, 3\/13, 2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.2 and -10898.02273.\nAnswer: -10898.22273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4393 and 2292?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 4*j = -j + 3, -3*p - 3*j = -3. Solve 0 = -5*s - p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -12*w**2 + 393*w + 99. Determine q(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 7*o**4 + 13*o**4 - 17*o**3 + 12*o**3 - 17 + 21 + 6*o**3 as l*o**2 + q + m*o + c*o**3 + n*o**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(147) + 5))**2 + sqrt(147)*-4 + 1 + (sqrt(147) + -2 + -1*sqrt(147) + (sqrt(147) + sqrt(147)*-1)*6)*3.\nAnswer: 1722*sqrt(3) + 4295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 11*y - 9. Let o(a) = -5*a + 4. Let w = 578 + -584. Determine w*u(p) - 14*o(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k**3 - 5*k**2 - 2*k + 319. Calculate the remainder when a(0) is divided by 79.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 2.370755 hours?\nAnswer: 8534718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 298097647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 1445 (base 10) to base 11.\nAnswer: 10a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 184100333 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 533323.2 minutes to milliseconds.\nAnswer: 31999392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 PM and 6:31 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -194*s - 135. Let b(f) = 135*f + 91. What is 7*b(x) + 5*u(x)?\nAnswer: -25*x - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/17 (b) 3\/2 (c) 1\/702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 340 - 229. Find the common denominator of -25\/13 and (-1)\/(6\/a*-1) - 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 16 = 4*m, -65*m + 64*m + 8 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 + 4*q + 8. Let b be o(-4). Suppose r - b = -r. Differentiate -2*f**4 - r*f**4 - 15 + 2*f**4 - 5*f**4 wrt f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4566 is divided by 59?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = a + 2 - 8, 4*i + 2 = -3*a. Suppose a*g - 7*g = -760. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 3*b - 5*t - 509 = 0, -4*b + 5*t + 672 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.182, 2\/3, -5.\nAnswer: -5, -1.182, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15728503 and 1316?\nAnswer: 62914012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 13*h - 171. Let y be i(13). Let l be 0 - 5\/(-2) - 1\/2. Put l, y, -101 in ascending order.\nAnswer: -101, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -697331181.001151 - -697328540. Let d = -2641 - b. Round d to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*t - 3*t - 225. Let w(m) = -m - 6. Let o be w(-6). Suppose -2*z - z - 15 = 0, 5*j + 5*z - 50 = o. What is the highest common factor of t and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 36\/(-5)*120\/(-9). Suppose -k - 4 = -16. Calculate the greatest common factor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.015 + -18.185. Let d = -13.2 - h. Which is the nearest to d? (a) -0.2 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.39 - 1.61. Which is the second smallest value? (a) -2\/5 (b) -0.3 (c) 1\/3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 42 - 34. Suppose -n*r - 3*z + 437 = -3*r, 350 = 4*r + 2*z. Suppose 5*q - r = p, 3*q - 2*p - 29 - 28 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 + 3 = u. Let d = 25 + u. Let p(b) = -b**3 - 3*b**2 + 12. What is the remainder when d is divided by p(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eprerprprraaaeeee. Give prob of picking 2 a and 2 p.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -51 + 59. Suppose h*n - 217 - 471 = 0. Suppose -6*i + n = 2. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29649770.\nAnswer: 2, 5, 373, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -935949804 to the nearest one million.\nAnswer: -936000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/42)\/((3*2\/(-2))\/(378\/84)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 6:28 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 15 = 0, -2*o = 4*q + 2 + 8. Let k(x) = x**2 - 9*x - 16. Let c be k(11). Let r = -2 + c. Solve h = -3, 5*d + r*h = o*h + 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and -9.8?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -11*c**3 - 4*c**2 - 39*c + 13. Let f(d) = -5*d**3 - 2*d**2 - 19*d + 6. Give 13*f(h) - 6*j(h).\nAnswer: h**3 - 2*h**2 - 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -26*r**2 + 5152*r - 792.\nAnswer: -2*(r - 198)*(13*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 3 = -o. Suppose 3*h - h = o. Suppose -2 = -2*b, -v + b = h*b - 42. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 16054, 64248, 144594, 257110, 401814, 578724, 787858?\n\"Answer: 3*v**3 + 16058*v**2 - v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 - 1214*q + 7281. Calculate k(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 82574406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 41867446 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -349854193\nAnswer: 5\/349854193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 + 2*h**2)*(0 + 3 - 1) - 17*h**2 + 0*h - 17*h**2 - 8*h to j*h + b + t*h**2 and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((21\/(-18))\/7)\/((-5)\/(-15)*4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 217582 is divided by 108788.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3620694620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kldw when four letters picked without replacement from wwkkddklllkkkwk?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1122 + 6084. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7082 is divided by 373.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 450589959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + sqrt(252)))**2 - (sqrt(7) + -1 + 4) - (sqrt(567) - (sqrt(112) + 0)))*1.\nAnswer: -6*sqrt(7) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -4 (b) 192 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -67, 0, -2, 17, 1, 13, 8 in increasing order.\nAnswer: -67, -2, 0, 1, 8, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11726*t**2 + 95*t + 6 wrt t?\nAnswer: 23452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1503 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1*(1\/1 + -5). Suppose -a - 4*a + 5 = -d*k, -15 = -3*k. Suppose -a*t = t + 48. What is t rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/5982631 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -141.56 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -14 + 143\/10. Let n(t) be the second derivative of 0*t**3 - 1\/3*t**6 + 1\/3*t**4 + 0 + 0*t**2 + t - d*t**5. Factor n(c).\nAnswer: -2*c**2*(c + 1)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5824894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 2396790*d - 85*d**2 + 2396792*d + 4.\nAnswer: -85*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -3*n + 3. Let w(q) = 68*q + 4. What is z(w(j))?\nAnswer: -204*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 5:49 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -16 - -38. Let j be ((-186)\/30)\/((-2)\/10). Let g = j + -15. What is the least common multiple of g and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 (base 7) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/32297616 and 41\/436017816.\nAnswer: 872035632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 4)\/(5 + -4). Suppose 2*r = 8, -m*x = 3*r - 6*r - 60. Differentiate 2 - x*k**2 - 4 - k**2 wrt k.\nAnswer: -38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -9 - (17091\/(-9) - 3). Suppose 0 = f + 396 - x. Does 66 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttwptwf. Give prob of picking 1 p, 1 w, and 1 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 7635, -10594, -40975, -83508, -138193, -205030?\n\"Answer: -6076*j**2 - j + 13712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:42 PM and 8:09 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(14\/(-10)) - 1. Which is the closest to 1\/2? (a) g (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 396598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -2*r + 2, 0 = 4*r - 3*r - 4*h + 5. Let y(t) = -t - t + 0*t + 19*t**2. What is the smallest common multiple of y(r) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + t - 34 - 20 = 0, 34 = -r + 4*t. Let l be (2 + -12)\/(6\/(r - -2)). Suppose 7*q - l = -3*q. Solve -4*b = -j + 3 - 14, b = q*j + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 36 - 77 + 41 + 2*b. Let o(k) be the first derivative of -k**3\/3 + 56. What is m(o(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2803005)\/(-41526))\/(5\/(-2)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 27536 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: Determine v, given that 2*v**2\/7 - 252*v - 69920\/7 = 0.\nAnswer: -38, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.088 - 0.097. Let q = b - -1.009. What is the third smallest value in -0.3, q, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 69 and 8625?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 - 9*c + 9. Let q be (2 + (-14)\/5)\/(2\/25). Calculate x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -381838832 by 4.\nAnswer: -95459708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25875*v**2 - 608969*v**2 - 60455*v**2.\nAnswer: -643549*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 divided by -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 19925 = 17637 - 8202. Is v a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4542.\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1692, 3409, 6290, 10335, 15544?\nAnswer: 21917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 217 + -463\/2. Let u = v - -14. What is the nearest to 2\/3 in -4, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**2\/5 + 28*x\/5 + 26\/5.\nAnswer: 2*(x + 1)*(x + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -190*r**5 + 5 - 21*r - 11101*r**3 + 11101*r**3 wrt r.\nAnswer: -3800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4203 - -1112023?\nAnswer: 1102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**2 - 8*p. Let l = -1 + -7. Let a be d(l). Solve -2*w = -a - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -2*b - 2. Suppose 1 = -6*m - 17. Let v be p(m). Let z be 27\/v + 1\/4. Sort 2, -1, z in decreasing order.\nAnswer: z, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 32126.814 milliseconds to days.\nAnswer: 0.000371838125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 213153 is divided by 445?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 p, and 2 r when four letters picked without replacement from {p: 2, f: 1, r: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = p + 15, -2*s - p + 15 = -0*p. Let c(h) = -h**3 - 6*h**2 - 3*h - 6. Let g be c(-6). Suppose s*f - 3 - g = 0. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(-14) - 57\/21. Is ((4890\/(-4))\/w)\/(6\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of w**4 - 14*w**2 + 252?\nAnswer: 4*w**3 - 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 5*b = 2*g - 77, 4*g - 5*b - 161 = 0. Suppose 5*t - 62 = x, 5*t - g - 36 = 5*x. Let l = 110 - 76. What is the remainder when l is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 112533331 (base 6) in base 10?\nAnswer: 2096407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 853838.\nAnswer: 2, 426919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*c = 11 + 29. What is the tens digit of 361 + (0 - c - (-1 + 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 727889257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t + 5*l + 145, 0 = 3*l - 0*l - 9. Let s = -23 - t. What is the greatest common factor of s and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 3*i**2 - 6. Let n be u(3). Suppose 0 = -x + 8*x - n. Find the second derivative of 32*j + 36*j - 60*j - x*j**3 wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 29 and -672?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 + 4. Let a = 1.000004 - y. Round a to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**2 - 17*o + 18. Let k be l(-18). Is -5 + 263 - (-3 - k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0479124 days in minutes?\nAnswer: 68.993856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-28)\/(-14))\/(-3*2\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(2057) + 0)**2 + -4*(sqrt(2057) + 0 + sqrt(2057))**2.\nAnswer: -28798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 70\/2*(31 + 18526\/(-590)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -441*i**3*j**3 - 75*i**3*j**2*r + 5*i**2*r - i*j**3*r + 7*j**2*r wrt j?\nAnswer: -2646*i**3 - 6*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, f: 1, g: 3, d: 5, m: 1}. What is prob of picking 2 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 32944048901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1980714569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 762445729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.085 - 72.085. Let j = v + 69.1. Let z = 2.4 + j. Is -5 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1008)*-2*-1 + 3*(3 + sqrt(175)).\nAnswer: 9 + 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d. Let n(j) = -7*j - 3*j + 0*j. Calculate n(p(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 920066669 to the power of 1\/3, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 3*k + 6*k - 6*k - 5 - k**2. Let v(z) = -1. Let w(p) = -h(p) + 3*v(p). Suppose w(b) = 0. Calculate b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.07256 + 0.092065. Let z = j - 0.019. What is z rounded to 5 decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1752487 is divided by 370?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 143239, 138188, 124483, 97798, 53807, -11816?\n\"Answer: -721*b**3 - b**2 - b + 143962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**3 - f - 6. Let i be x(-2). Suppose 0 = -4*p + 5*c + 32, i*c = 3*p + 16 - 40. Suppose -13*w + 980 = -p*w. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -174181.09 and 0.5?\nAnswer: 174181.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.155 + 0.12. Let t = 0.018 - w. Let l = 4.053 - t. Which is the closest to 3? (a) -3\/5 (b) -1\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/32642261 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -989, -4078, -9219, -16406, -25633?\n\"Answer: b**3 - 1032*b**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eellleleerglggereel. What is prob of picking 1 l and 1 g?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 43 = 4*y + 5*h + 17, 2*y - 5*h = 14*y + 4*y - 74 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10398?\nAnswer: 2, 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 - 46363*r + 18 + 23187*r - 2*r**3 + 23176*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1917 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -302, -617, -946, -1289, -1646?\nAnswer: -2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (159 + 0 - (-46 - -78 - 20)) + (-26 - -17)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 62278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -3*r**2 + 3*r**2 - 5*r + r**2. Let k be (-4)\/20 - (-33)\/15. Suppose k*o - 12 = -0*o. Let p(n) = -n**2 + 6*n. Determine o*x(j) + 5*p(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -131173 or -131172?\nAnswer: -131172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 114*t - 395. Let s(x) = 111*x - 393. Let v(q) = 6*j(q) - 5*s(q). What is the units digit of v(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g - 1. Let y(n) = 10*n + 5. Let v be (-299)\/(-322) + 4\/56. Calculate v*y(i) + 3*p(i).\nAnswer: 7*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -5*a + 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -40625, -81251, -121877, -162503, -203129?\nAnswer: -243755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1380\/22 - 10431\/(-38247)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 156, -3, 23, 2.\nAnswer: -3, 2, 5, 23, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -87 + 180 + 25*b - 83 in the form v + l*b and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -t + 5*t**3 + t - 201131 + 26*t**2 + 201130 + 16*t**3.\nAnswer: 21*t**3 + 26*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05*-3.73.\nAnswer: -0.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -1 + 4 - 4 + 16*h**2. Let f be m(-1). Suppose 70*u + 3540 = -14*u + 202*u. Calculate the greatest common factor of u and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20160 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 411107 - 632693719\/1539. What is the common denominator of u and 27\/190?\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20075.\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 4\/7, 9, 2\/13, -20, -3\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 - 1. Let l(j) = -4*j**4 - 6*j**3 + 24*j**2 + 32*j + 18. Let d = -244 + 245. Let a(p) = d*l(p) + 6*n(p). What is w in a(w) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3 - 2000*r**2 + 139782*r + 1418580.\nAnswer: -2*(r - 74)*(r + 9)*(r + 1065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19 - 23. Let p = -0.12 + 4.72. Let d = p + -5. What is the nearest to -2\/9 in b, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.3 and 88096654.8?\nAnswer: 88096654.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17907?\nAnswer: 3, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -j - 8 = 2*m, -7*j - 9 = -10*j + 5*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 22073419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {y: 2, x: 1, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8211?\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6518071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 47 and 56?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/5 + 4736\/5760)*(-333)\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 6426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (m + 12*m + 0*m)*(17 + 13 + m - 3*m**2 - 29) as u + v*m**3 + h*m**2 + j*m and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (6*s - 2*s - 3*s)*(1 + 5 - 5)*(-99*s + 72*s - 74 + 70) in the form q*s + y*s**2 + a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 20 (base 4) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -310 - 3?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 2*q**3 - q**4 + 226*q + 236*q - 18 - 459*q in the form k*q**2 + y*q**4 + d + m*q**3 + h*q and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3 from -5309568436058.\nAnswer: -5309568436061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -2209 (base 10) to base 4.\nAnswer: -202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 12:15 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -92054 by 2.\nAnswer: -46027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3 + (-20)\/(-6))*-12. Suppose -5*s = 24 - 64. Let u = s + v. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 166 + 28. Let l = s - 191. Solve l*c + 4 + 5 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -61*c**2 + c - 34. Let a(k) = -19*k - 3. What is a(u(n))?\nAnswer: 1159*n**2 - 19*n + 643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(405) + 2)**2 - (sqrt(405) + 1)*-3.\nAnswer: 27*sqrt(5) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1 (b) -191 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 0.28, -4\/3, -22.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 28, -48, -138, -242, -360, -492?\n\"Answer: -7*y**2 - 55*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 414872808?\nAnswer: 2, 3, 7, 131, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-34)\/72 - (-2)\/8. Let k = 37 + -37.3. Which is the third biggest value? (a) t (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 207826 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -2*w**2 - 5*w + 11. Let x be t(-7). Let p = x + 64. Suppose p = -d + 28. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 4*l = -982, 106 + 84 = -d - 4*l. What is the units digit of 44\/d - 238\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 76*n - 62*n + 3.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v + 2. Let x be z(0). What is the hundreds digit of x\/6 + (-6276)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 2*l - 32 = 0, 2448*l - 44 = 4*p + 2451*l for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*(-3)\/30)\/(56\/70)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*p**2 + p**2 + 2*p**2)*(2139*p - 2054*p + 1144*p) to y*p**3 + t + c*p + l*p**2 and give y.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -12301 + -12?\nAnswer: -12313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 32173*h**3 - 65568*h**2 wrt h?\nAnswer: 193038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by 371.\nAnswer: -12\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fffffpp. Give prob of picking 3 f and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**3 - 27*v**2 - 23*v - 9. Let r be g(28). Suppose 2*b + 2*z - r = 413, 3*b + 4*z - 819 = 0. List the prime factors of b.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 676\/258 - 3 - ((-583)\/(-159) + -4).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 15. Suppose -4*w + 7*w - g = 0. Suppose w*o - 22 = 4*c, 17 = 3*o + 2*c - c. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 - -2. Let p be -3 - (-124)\/(-40)*-1. Are w and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-115*k + 0*k + 61*k)*(101*k**2 + 166*k - 166*k).\nAnswer: -5454*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 440*s**2 + 54*s - 135*s + 83*s in the form k*s + u + i*s**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 + 99*v - 226. Is 54 a factor of s(52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -148*y**3 - 42945*y - 16131847 wrt y?\nAnswer: -444*y**2 - 42945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 755*g - 752*g = -5*c + 63 + 94, 0 = 3*g - 12 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7283586 litres in millilitres?\nAnswer: 728.3586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 99697 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 58504231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 117449\/5 + -16911911\/720. Calculate the common denominator of 67\/3 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -44, -1, 0.5, 3\/7, 0.1, 0.64 in increasing order.\nAnswer: -44, -1, 0.1, 3\/7, 0.5, 0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 4.6, -5, -2, 4, 297 in decreasing order.\nAnswer: 297, 4.6, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iovog. Give prob of picking 1 g and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (((-6)\/9)\/1)\/(4080\/(-201960))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 187905?\nAnswer: 3, 5, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(34)\/(sqrt(180)\/sqrt(10)) - (4 + ((3 + sqrt(425)*-5 - sqrt(425))**2 - sqrt(425))).\nAnswer: -15316 + 556*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6859 - -12111. What are the prime factors of a?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 67 - 40. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6666 + 6701. What is the highest common factor of 2401 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1514, 32\/7, -1, 0, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/8*73\/(-438)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pmw when three letters picked without replacement from {w: 1, x: 1, p: 2, n: 1, m: 1, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 132*u - 17. Let r(s) = -43*s + 6. Let i(g) = 8*r(g) + 3*w(g). What is the derivative of i(j) wrt j?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the third derivative of 0 + 0*y**3 - 3*y**2 - 7\/40*y**6 + 0*y - 1\/4*y**4 + 9\/20*y**5. Factor g(s).\nAnswer: -3*s*(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 11) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 21 and 46473?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**2 + 16*x - 15. Let c be o(15). Suppose 3*b + 2*b - 535 = c. Suppose -2*a + b + 81 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.05 and 5.6.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be -5*(3 - 54\/15). Suppose -4*d = p - 1001, -5*d + 5*p = f*p - 1235. Let t = d - 176. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.7 - -2. Let z be (-9)\/(-2)*1 + 18\/(-12). Suppose -5*w + 3*x = 28, z*x - 3 = -0*x. What is the closest to 1 in w, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 1 + 3*s**2 + 5*s**4 + 2*s - 2*s**4 - 2*s**2 in the form o + k*s + y*s**3 + x*s**2 + z*s**4 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 5*t - 2703, -t = -o + 3*t + 901. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-6 + 6 + 3*z)*(6 - 6 + 5*z) + (2*z**2 - 3*z**2 + 3*z**2)*(-3 + 0 + 0))*(8*z**2 - 8*z**2 + 5*z**3)*(2 + 0 + 0).\nAnswer: 90*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -497987.\nAnswer: 1\/497987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(12)\/sqrt(4) + 2 + (sqrt(3) + 0)*2 + -5*(sqrt(3) + 2) + -4 + sqrt(3) + 2)*6)**2.\nAnswer: 720*sqrt(3) + 3708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-164 + 253 - 137)*(-2*u**4 + 0*u**4 - 3*u**4) to the form x*u**3 + n*u + h*u**2 + m*u**4 + p and give m.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*u**4 - 3109*u**3\/7 + 18181*u**2\/7 - 15336*u\/7 + 180\/7 = 0. What is u?\nAnswer: 1\/84, 1, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 911705 divided by 5\nAnswer: 182341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-429000)\/(-3960)*3\/(-5).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f + 180634. Let u(z) = 2*z**2. Determine i(u(d)).\nAnswer: 4*d**2 + 180634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 0, 2*z + 245 = 5*p + 3*z. Let s(r) = -r**3 - 5*r**2 + 5*r + 15. Let v be s(-6). Let h = p - v. Solve -5*u = t + 14, -7*t = -2*t + 4*u + h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(96\/(-18)))\/(148\/2072)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 252 = -n + 2*n. Suppose -4*p + p = -n. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 6.7 + 11.59558097.\nAnswer: 18.29558097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 49796687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 10*j + 7*j - 306, -2*l - j - 122 = 0. Let n = l + 223. Calculate the remainder when n is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:03 AM and 12:46 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24874 - -38239. What are the prime factors of k?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 35011 (base 6) to base 3\nAnswer: 20211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2, -23, -50, -77, -98, -107, -98?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -16 (b) 4 (c) 2 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**2 - 324*h + 640.\nAnswer: 2*(h - 160)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13554 and 18189.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 29*a - 213*a - 82*a - 11*a**3 + 5*a**3 in the form g*a + b + q*a**2 + n*a**3 and give g.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*4\/(-2) + -1. Let q be (b - -1)\/(4\/(-10)). Let v(h) = -5*h + 2. Let c be v(-3). Solve 3*y + c = 5*m, -m + 4*y = -22 + q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes before 11:51 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 4 = 5. Let q be (-5)\/(2\/3 - f). Solve 5*d - q = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91 less than or equal to 9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 33 divided by 3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10801038, -21602082, -32403126?\nAnswer: -43204170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 - 678\/(-3) - 1*4. Let s = -205 + m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qpbzqjzqjjqeq. What is prob of picking 1 q, 1 z, 1 e, and 1 b?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 619352408 a multiple of 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 550546 (base 9) in base 10?\nAnswer: 328497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -6*t**5 - 98*t**4 + 162*t**3 + 9322*t**2 + 44268*t + 43120 = 0.\nAnswer: -11, -7, -4\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -5*63\/(-280)*-8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.6868 (c) -4 (d) 2 (e) -2\/3 (f) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 - -6. Suppose -2*y + 10 = -m*y. Suppose -2*d - 2*r = 3*d - 166, y*r - 24 = -d. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 135630 - 184166 + 450578 = 5433*z for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxlllllxlxxxl. Give prob of sequence xlx.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**2\/8 - 4579*o\/4 + 11435 = 0.\nAnswer: 10, 9148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -8 + 4, -4*l = 2*q - 1480. Let k = 779 - q. Is 0 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 965643 + -365149. Suppose 61*a - 426563 = f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 12*r - 2. Let p(o) = o**2 - 4*o + 4. Let y be p(2). Suppose k = -y*k + 8. Is l(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-z - 5*z - 31371 + 31366)*(4 - 4 + 1) + 12*z - 11441 + 11441)*(2*z + 2 - 2) to o + x*z + l*z**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -2)*-25 + 39 + (-17 - 34).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 133\/6 and 48\/415.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 66\/(-1155) + (-54)\/280.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107846 is divided by 1365.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w - 2*t + 3*t - 5, -t + 6 = -5*w. Let y be ((-3)\/1 - -3)\/w. Suppose 0 = -y*v + v - 5. Solve -v*u = -4*a - 11, 2*a - u + 1 = -0*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 154972968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - m**2 + (-8 + 2 - 2)*(1 - 1 + m**2))*(-2*m**3 + 7*m**3 - 6*m**3).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59 divided by -59.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 x, and 1 s when three letters picked without replacement from {k: 1, m: 8, w: 3, s: 2, u: 1, x: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2305234307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 4, t: 2, g: 1}. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 7, y: 3}. What is prob of picking 1 y and 2 x?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9108 - 9108. Let h = 10.8 - 179.8. Is h less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(-3) - (-14)\/6. Suppose -n + 6 = y*n. Let d be 34*(3\/n)\/3. Solve t + 4*z = d, 0*t - 2*z = 2*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (46*f - 46*f + 11*f**4)*(0*f + 0*f + 2*f).\nAnswer: 22*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 4737 = -3*g, -7*i + 3*g - 6314 = -11*i. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of 0*b**6 + 5\/6*b**3 + 0*b**5 + 0*b**4 + 0*b + 10*b**2 - 1\/210*b**7 + 0. What is the derivative of s(v) wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {e: 1, t: 2, y: 1, d: 2, o: 1, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -886*t - 3537. Determine d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2588 - -2613. Solve 5*v - d = -p - 0*v, 25 = 3*p + 5*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**3 - 42*q**2 + 86*q - 66. Let p be v(-44). Which is the second biggest value? (a) 3\/2 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23359653 is divided by 3305?\nAnswer: 3218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9.222 + -0.222. Which is smaller: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b = -7277 + 26786. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 606 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/7)\/((-2)\/(-28)). Let c = 1 + -0.8. What is the third biggest value in c, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1107)\/(7 + (-153)\/18)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 4*a - 491. Let l(w) = -4*w + 472. Give 5*g(m) + 6*l(m).\nAnswer: -4*m + 377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 185, -4\/3, 5, -0.4, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + g - 4 = -3*g, 2*y = g + 9. Suppose 5*l - 130 - 170 = 0. Calculate the smallest common multiple of 9 + (-24)\/l*(-10)\/4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-2 + 0) - -8. Solve -5*b + 12 = -3*b + 2*w, -4*b = h*w - 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1817, 1868, 1919?\n\"Answer: 51*m + 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59229316?\nAnswer: 2, 14807329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -752665, -752640, -752599, -752542, -752469, -752380?\n\"Answer: 8*s**2 + s - 752674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3816 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -368 + 1846\/5. Let t = s - 79\/70. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -19*a + 0 + 0. Let t(w) = -50*w**2 - 23*w**2 + 75*w**2. Determine t(d(k)).\nAnswer: 722*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((9 - 16) + 2)*(-26)\/10. Suppose -23*x = -p*x - 20. Let n(y) = y**3 - 2*y**2 - y - 3. Calculate the remainder when n(3) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from bzypyyzbzd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the third derivative of b**4\/24 + 819*b**2. Let w(n) = -812*n**2. What is a(w(p))?\nAnswer: -812*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 4311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 85 + -1103\/13. Let t = 0 + 0.2. What is the closest to t in g, -1\/2, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 39 - 49*p**2 + 39*p**2 + 4*p - 35. Let y(z) = 39*z**2 - 15*z - 15. Let n(r) = 15*a(r) + 4*y(r). Let x(w) = -27*w. Give n(x(l)).\nAnswer: 4374*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*u - 795 = -30*u + 11*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q. Let x(m) = -m**2 - m + 1. Let b(r) = -5*r**2 + 3*r - 3. Suppose 2*z - z = -3. Suppose -2*a = 2*a + 4. Let y(v) = a*b(v) + z*x(v). Give n(y(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u + 15. Let t(i) = 210 + 2*i - 47 - 55 - 49 - 44. Calculate -4*a(l) + 3*t(l).\nAnswer: -2*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -18 (base 13) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/11882070 and 35\/3564621?\nAnswer: 35646210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1*(-10)\/6*(-20)\/(-50)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 2457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -161 = -2*w - 3*z, -w + 2*z + 61 = -9. Let n be (46\/w - 38\/361)*34. Solve 8*x + n + 15 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/27)\/(((-81)\/42)\/27)*-1.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bwg when three letters picked without replacement from {g: 7, w: 3, b: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1049 - -616. Let h = s - -465. What is the remainder when 154 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 195 - 78. Let j = d - 116.923. What is j rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:20 PM and 9:33 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -818 - -1232. Let y = 75 + -389\/5. What is the common denominator of b\/32*4\/3 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -344478.3 + 344478. Let v = 3 - 2.8. Sort 36, v, b, -4 in decreasing order.\nAnswer: 36, v, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 1 + w**2 + 2*w**2 - 2 in the form f*w**2 + l*w + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2778 + -2772. Let h = 5\/16 + 3\/16. Which is the third smallest value? (a) m (b) h (c) 2\/17 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x + 2*x = -c - 13, -5*x = c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 9:07 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - -2. Let m be 1 - (2 - -10)\/f. Let h(g) = -g**2 - 6*g - 2. What is the units digit of h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -9*j. Suppose 3*q - 10 - 8 = -k, -3*q + 12 = -k. Put j, 2, q in increasing order.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 75278571, 150557141, 225835711?\n\"Answer: 75278570*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.6 - 0.4. Let v = 11.15 + -6.46. Let h = v + -0.69. What is the nearest to i in 0, 1\/2, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03598314 to five decimal places.\nAnswer: -0.03598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4\/5 (b) 247 (c) 25\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(704) + 1 + sqrt(704) + sqrt(704)))**2.\nAnswer: 768*sqrt(11) + 101392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 2*b. Let g(n) = 187689*n + 14. What is u(g(r))?\nAnswer: 375378*r + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 + 49*h + 2267. What is y(-29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the second derivative of 7*b**5\/120 - b**4\/8 + b**3\/3 - 3*b. Let u(n) be the second derivative of x(n). List the prime factors of u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 956 - 3*v - 956. Let w(y) = -11*y**2. Determine w(f(m)).\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + b**2 + 4. Let p be u(0). Suppose n + 0*n - 10 = 0. Solve -5*k = -n, 0 = -0*j - j + p*k - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14876891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 22*c. Let i(a) be the third derivative of 11*a**5\/60 - 3*a**2 - 1. What is i(x(t))?\nAnswer: 5324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -780 * -2.\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -11*o + 13. Suppose -60 = -2*n + c, -o*c + 48 = 2*n + 12. Calculate the remainder when 249 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 24049 or 24046?\nAnswer: 24049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-h - 7*h - 4*h)*(-38 - 47 - 414 - 108) + (0 + 4 - 2)*(1 - 1 + 2*h) - 2 + 2 - 2*h as j*h + q and give j.\nAnswer: 7286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and -0.1191?\nAnswer: -0.03573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**2 - w - 55. Suppose 193*u = -5*m + 189*u - 62, -4*m + 2*u = 34. Give l(m).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6)\/21 - (-18)\/14. Are q and 1\/42 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 120\/(-1053) - (-2)\/26.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:08 AM and 8:52 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*h + 0*h + 26 - 26.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 17*o**2 - o + 2. Let u be b(1). Suppose 0 = -u*s + 22*s + 288. Let g = 11 - s. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 4*s - 6 = 0, 5*d - 24 = s - 2*s. Let b(w) = w**3 + 31*w**2 + 86*w + 65. Let t be b(-28). Solve 3*n + d*z - t = -2, 3*z - 7 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 79741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**3 + 16*s**2 - 8*s + 12. Let x be p(-12). Let w = x - 1818. Let f = 1675 + w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 11:44 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t**2 - 991*t + 991*t + 92*t**3.\nAnswer: 92*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -1000101101111100110000110 (base 2) to base 9.\nAnswer: -37355357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 72\/(-10)*(42\/12 + -6). Suppose -24*z + q*z = -1620. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -518050.68 and 17?\nAnswer: 518067.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -24817 - 24821 + 49633 + 127*c + 11302*c**3 wrt c.\nAnswer: 67812*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, x: 3, s: 1, c: 1, z: 4, d: 2}. What is prob of sequence csxz?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1511, -3023, -4535, -6047?\n\"Answer: -1512*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b - 8. Let x be q(-5). Let m be -1 - (-2 - (0 - x)). Suppose -c = -m*c + 18. Calculate the least common multiple of c and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**1\/x)**(-25)*x**(5\/4)*x**(2\/17))\/(((x*x*x\/(x**(-3)*x))\/x)\/(x\/(x**(-2\/7)\/x)))**0 assuming x is positive.\nAnswer: x**(-1607\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 159*a**3*b**2*s**2 - 2*a**3*s**2 - 2*a**2*b**2 + 2*a**2*s**2 - 40*a*b**2 + 2 wrt a.\nAnswer: 954*b**2*s**2 - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.2 + 0.12. Let c = -1.92 + z. What is the nearest to 2 in c, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*m - 6*m + 3*m + 18 - m - 18 + (19 + 4 - 5)*(-m + m + 2*m) + 2 - 2 + m.\nAnswer: 35*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003497 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-38)\/171)\/((-3)\/((-36)\/2))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 - 12*v**2 - 12*v - 11. Let n be a(-11). Suppose 0 = -3*k - 43 - 2. Let d be k\/110*4\/(-3). Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 + 3. Let j(g) = g**3 - g**2 + 4. Let b be j(t). Suppose b*s - 10 = -s. Solve -s*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -2*k**3 + 126*k**2 - 132*k + 90. Let q be d(62). Which is bigger: q or -407?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -2*q - 10. Suppose q*l + 20 = 10*l. What is the smallest value in -1, l, 1\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 10*(-5)\/(-175) + 26\/7. Suppose -31 = b*u - x, -4*x = -4*u - 0 - 16. What is u rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -202486333 divided by 7.\nAnswer: -28926619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 119591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 11 = -g, 0*g = 5*g - 4*u. Let d be g + (-1)\/(-1) + -2. Let j = -0.5 + 0.3. Which is the closest to 1\/3? (a) d (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 - 2*r + 2. Let c be a(2). Suppose 2 + 7 = 3*x. What is the highest common divisor of x and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/2720 and -71\/57120.\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b - -14a3?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**2 + 6*b - 1. Let g be z(-4). Let t(y) = y. Determine t(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1365 by 41.\nAnswer: 1365\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -90 + -103306a?\nAnswer: -103314a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -50 + 52. Suppose -5*u + 10*u = -15. What is the lowest common multiple of g and (-2)\/(-3 - 7\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 5)*(13 - 4 - 5)*(-2 + 2 - 1)*(-2 + u + 2).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (47*j - 47*j - 13*j**2 + 3)*(2*j - 6*j + 3*j).\nAnswer: 13*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -34630*w + 4680. Let l be q(-74). Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*n**2 - 2*n**2 + 4*n**2 - 2*n**2 - 24 - 62*n**3 - 2*n**2 wrt n.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*((-2)\/14*-1)\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j\/(j*j\/(j\/(((j\/j**2)\/j)\/j)*j)*j))\/j*j*j)**(-13)\/(j**(-2)*j)**(-6\/11))**(-11\/5))**(1\/21) assuming j is positive.\nAnswer: j**(578\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s. Let q = 68 + -50. Let u(v) be the first derivative of -7 + q - 31 + v**2 - 7*v**2. What is u(h(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2\/21, 1, 2\/7, -1\/3, -5 in decreasing order.\nAnswer: 1, 2\/7, 0, -2\/21, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 640882.3 millilitres in litres?\nAnswer: 640.8823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/455758 and -47\/10072.\nAnswer: 1823032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -380, -57, 10 in decreasing order.\nAnswer: 10, -57, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -16, -40, -72, -106, -136?\n\"Answer: t**3 - 10*t**2 - t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u = -33 - 11. Solve -4 - 7 = -4*j - 3*w, 0 = 5*j - u*w + 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from {t: 9, w: 7, q: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2*q + 10. Let l be a(-1). Solve 10 = -2*n + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 6, v: 12}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 3, p: 8, k: 2, d: 7}. What is prob of picking 2 u and 2 k?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24627528 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 8.283906 millennia in centuries?\nAnswer: 82.83906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -2258*165343\nAnswer: -373344494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**3 + 5*a**2 + 4*a + 13. Calculate d(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3\/4 (b) 15\/29 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 99517, 0, -2, -5, -1\/4 in increasing order.\nAnswer: -5, -2, -1\/4, 0, 99517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(7\/(147\/(-7)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 959.9143 millimeters in meters?\nAnswer: 0.9599143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 48873 > 48874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express ((-3*i + 0*i + 0*i)*(3 - 3 + 1) - i + i + 2*i + 9*i - 3*i - 2*i)*(4*i**2 - 46*i + 46*i) as o*i + l*i**2 + w*i**3 + a and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 41632 (base 8) to base 16.\nAnswer: 439a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 685, 3315, 7411, 12973?\n\"Answer: 733*f**2 + 431*f - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5966 (base 12) in base 16?\nAnswer: -271e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04750276251 rounded to 5 dps?\nAnswer: 0.0475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 56 * 1228779.\nAnswer: 68811624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3\/17 - 1407338*j**2\/17 + 1407340*j\/17.\nAnswer: -2*j*(j - 1)*(j + 703670)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 2*r - 12. Let h = 33 - 27. Suppose -5*q + h = -9. Sort r, 2, q in descending order.\nAnswer: q, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n - 10. Let g be o(-6). Let t = -13 - -18. What is the remainder when (-104)\/(-16) - 2\/g is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 20 - 5*b**2 + 21*b**2 + 10*b**2 + 4*b**2 - 5*b**3 - 45*b.\nAnswer: -5*(b - 4)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100 + 1002?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 107053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**2 + 7. Let o(a) = 3*a**2 - 3*a + 6. Let t be o(-4). Let y be 2\/(-11) + 342\/t. Let b be c(y). Calculate the greatest common divisor of b and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44556 divided by -22278.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (10\/60)\/((-2)\/8)*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1172202, -1172203, -1172204, -1172205?\nAnswer: -1172206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 26*n**2 + 33854*n + 2604.\nAnswer: 2*(n + 1302)*(13*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.0862 + -0.0477. Let j = -0.0339 - i. Which is the fourth biggest value? (a) -1 (b) j (c) -3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 3 - 1 = 0. Suppose z*f + 2*i - 4 = -6, -2*f + 7 = -i. Solve r = -f*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -6*n + 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 455920598 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -3*z - 6. Let u be y(-4). Let o(m) = 7 - u*m + 1 - 8. Let p(i) = i**2. Calculate p(o(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a**2 + 34*a - 78. Determine h(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -5*p - 147. Let t be (-5)\/p - 16\/5. Let h(u) = -28*u + 1. Is h(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/32728 and 25\/32728.\nAnswer: 32728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -1\/2 (c) -0.4 (d) -3\/2 (e) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the first derivative of 2*k**2 + 197*k + 9. Let y be c(0). Let s = y + 93. Calculate the greatest common factor of s and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3064 + -2844. What is the remainder when m is divided by 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the first derivative of -11*x**5\/15 + 347*x**4\/3 + 1145*x**3\/9 - 127*x**2\/3 - 7498. Determine r so that w(r) = 0.\nAnswer: -1, 0, 2\/11, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in -20*n**4 - 9441*n**3 + 44929*n**2\/5 - 2847*n\/5 - 4257\/5 = 0?\nAnswer: -473, -1\/4, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 28 = -5*d, -3*q = d - 6 - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 20, -373, -1592, -4051, -8164, -14345, -23008, -34567?\n\"Answer: -69*y**3 + y**2 + 87*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3254 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: What is 209.3919ml in litres?\nAnswer: 0.2093919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 4*y + 84, -3*b + y - 7 = -63. Solve -12*d - b = -17*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*n + 4*n + 18*n + 59*n.\nAnswer: 85*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y - 2 = -g, 206*g + 12 = 203*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 33703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 113 divided by 263029?\nAnswer: 113\/263029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15934 - -15939. Let m(s) = 4*s - 3. Let l(b) = b + 1. Let k(n) = -5*l(n) + m(n). Calculate k(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 385 = -11*t. Let w = t + 4. Let m = w + 37. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 2 = -2*p, -21 = 7*p - 4*p - 5*q. Let w = 5 + p. Let k be 2 + (-60)\/33 + (-31)\/(3751\/(-220)). Solve -s = w - k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27071322 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 447 a factor of 247538766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*q**4 + 9085*q**3 + 77870*q**2 + 193040*q + 124320 = 0.\nAnswer: -4, -42\/13, -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 6*r**2 + 7*r + 2. Let y be h(-5). Let n = -53 + y. Let u be (-978)\/(-123) + (-28)\/(-574). What is the highest common factor of n and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -4*s + 19. Determine v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7.6 + -15.3. Let j = -8.06 + 0.06. Let k = i - j. What is the closest to 2\/7 in -0.1, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*w**3 - 19*w**3 + 67*w**3.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be 22\/10 + (-2)\/10. Let u(q) = 4*q + 2*q**3 + 5 + q - 3*q**2 - 4*q**t. Let l(o) = 2*o**3 - 8*o**2 + 6*o + 6. Determine 5*l(c) - 6*u(c).\nAnswer: -2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 + 6. Solve -d*i + 2 = 0, -5*i = a - 2*a - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-2*((sqrt(175) + (-3*sqrt(175) + sqrt(175))*-1)*5 + 1))**2.\nAnswer: 600*sqrt(7) + 157508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 99954 and 199908?\nAnswer: 199908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 9435 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.19791 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*n - 3*d + 7*d - 3137 = -2515, 0 = -4*n - 2*d + 68 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-43 - 2*a + 43)*(0 - 3 + 5)*(-2*a + 0*a + 0*a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, 7, -2\/3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-285)\/(-60))\/(23199\/17316)?\nAnswer: 39\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1997.9 * -0.3\nAnswer: 599.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1162 - 1728. Let p = v + 569. Solve 4*o = -3*q + 28, -o = p*q - 18 + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11111010100011 (base 2) to base 8.\nAnswer: 37243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 14184775817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 1 + 2*z**2 + (-z**2 + 4*z**2 - z**2)*(-6 + 4 + 4) + (-4*z + 3*z + 2*z)*(-7*z - 14*z + 36*z) in the form h + x*z + c*z**2 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000004649247 to seven dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3947473 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 21057329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooww when four letters picked without replacement from {o: 2, r: 1, w: 8, i: 9}.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -128? (a) 0.03 (b) 2 (c) -3.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 295895400 rounded to the nearest 1000000?\nAnswer: 296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, h: 1, q: 5, x: 4, w: 3, p: 1}. What is prob of sequence ax?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 77679.21 months?\nAnswer: 6473.2675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 + 8*b**2 + b - 7. Let o be l(8). Let m be o*-1*(-10 + -98). Suppose 0*c - 3*p + m = 3*c, -2*c + 84 = -p. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80265 divided by -5.\nAnswer: -16053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -18 - -5025?\nAnswer: 5008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(18)\/(-2*sqrt(12)\/sqrt(2)))**2*2 + 4*((sqrt(192) + (sqrt(192) - (sqrt(192)*-2 + 0) - sqrt(192)))**2 + sqrt(192) + (1 + sqrt(192))*-6).\nAnswer: -160*sqrt(3) + 13761\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 27648250 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8830 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -1356*g + 50. Is 22 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the third derivative of 23*w**7\/2520 - w**6\/48 + 7*w**5\/60 + 7*w**2. Let v(f) be the third derivative of s(f). Is v(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0248 + -5.0248. Suppose -4*k = -11 - 9. Let x = k - 4. What is the nearest to -0.2 in x, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 126*z**2 - 29 + 277 - 180 - 36 - 32.\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, 3\/88, 1, -2?\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1022 and 1022?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -280 - -285. Solve 3*k = -2*d - 16, 0 = -2*k + g*d - d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 7480 divided by 1870\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.8 - 5.8. Suppose -3*k = -3*y + 207, 2*y - 3*y = 3*k - 85. Let d = -510\/7 + y. Which is the nearest to -1? (a) o (b) d (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1938810 bigger than -1938810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 + 2 + 2)*(2*m**2 - 2*m**2 + 2*m**2).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 1)*(109*s + 88*s + 58*s).\nAnswer: -510*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**2 - 8*i - 26. Is 14 a factor of z(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15857133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 79, 161, 223, 259, 263, 229, 151?\n\"Answer: -p**3 - 4*p**2 + 101*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.078 - -0.14. Let f = c - 0.06239. What is f rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, 5083, -3 in decreasing order.\nAnswer: 5083, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -155*a + 20 = -150*a. Let w(h) = 2*h**2 - 20. Is w(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 30 - 15. Suppose -6 = f - 16. What is the greatest common factor of s and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 445707 (b) 5 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w**2 - 9929*w - 39746. Determine j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b*(b\/(b*b**(-9)*b))\/b)**34 assuming b is positive.\nAnswer: b**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 + 11*l + 9. Let o be t(11). Let m(p) = 2*p - 4. Let a be m(5). Calculate the greatest common divisor of a and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -67340 - 0.07?\nAnswer: -67340.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -8021624427.31 take away 1.06?\nAnswer: -8021624428.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 192*q**5 + q**4 + 159*q**2?\nAnswer: 11520*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*t**3 + 2*t**3 + 3*t**3 + (4*t**2 - 3*t**2 - 3*t**2)*(3*t - 5*t + 6*t))*(2*t + 486 - 180 - 144) to h*t**4 + j + b*t + w*t**2 + s*t**3 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 36426329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1331 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of -3*w**8\/28 - 7*w**4\/12 + 5*w - 6. Let z(k) be the first derivative of l(k). Find the third derivative of z(y) wrt y.\nAnswer: -720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1107504 + -4?\nAnswer: -1107508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -n**2 - 215*n - 426 = 0.\nAnswer: -213, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9\/4762 - 23013542\/7143. Let p = 3210 + l. Calculate the common denominator of 38\/(-9)*6\/1 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -61 by -319.\nAnswer: 61\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -58*l - 68. Let z be j(-6). What is the tens digit of (772\/(-16))\/((-14)\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 - 34. Let h = x + 37. What is the nearest to 2\/3 in -3, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25 - -3) + -116 + 67 + 31.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -3 (b) 1.6 (c) 2\/11 (d) -1\/8 (e) -6.4 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**5\/4 - 17*p**4\/2 + 159*p**3\/2 - 189*p**2 + 27*p\/4 + 567\/2 = 0.\nAnswer: -42, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(13)*-3 - (0 + sqrt(13)*-3).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s**2 - 87*s + 41. Determine j(43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 + 6*3 - (3 + -6). Let z be 30\/9 + j\/27. Solve 0 = 2*v + 5*s - 20, z*s - 16 = -v - 0*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 40 + -39. Let r be 72\/255 + 4\/(-10). Which is the smallest value? (a) -0.4 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - 4*b**2 + 7*b + 5. Let s be g(-4). Suppose -69 = 73*c - 288. Let o = c - s. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - 3. Let z(a) = -6*a**3 - 3*a. Let m(p) = -2066 + 7*p**3 + 2066 + 4*p. What is h*z(j) + 3*m(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/4*(-6 + 4). Let w(c) be the second derivative of -3\/20*c**5 + 37*c - 1\/2*c**u - 1\/2*c**4 + 0 + 0*c**2. Find z, given that w(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggddgdgu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h**3 - 4*h + 4*h)*(19*h**2 + 5*h**2 - 7*h**2) + (2 + 0 + 0)*(h**5 - h**5 - 2*h**5) + 2*h**5 + 2*h**5 - 3*h**4 - 2*h**5.\nAnswer: 49*h**5 - 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000105349 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 111200351?\nAnswer: 111200351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -2*o + 12, 0 = 3*o - 6*o - 2*z + 6. Solve o = -i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + 2*x)*(-3*x - 5*x - 3*x) + 2*x**2 - 3*x**2 - x**2 + 13*x**2 - 4*x**2 + 3*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**2 - 9*o - 39. Let g be 1\/((2 - 1)*(-23)\/(-299)). Calculate s(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 o when four letters picked without replacement from zubbbbbuzzzzzbbzo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-234)\/360 + (-6 - 87\/(-12)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1364 and (-1)\/12*(-144)\/36 + (-13013)\/(-21).\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 131 > 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4371 is divided by 143?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4692 = -21*f - 48*f. Solve -6 = f*n - 74*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -61*t + 427. Does 12 divide l(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**2 - 18*c + 93. Calculate z(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 29788820.7 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.3 + 0.2. Let l(r) = -r**2 + 7*r - 3. Let j be l(5). Let g be (-12)\/(-7) - (j - 5). Put 2, h, g in ascending order.\nAnswer: g, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7894 - -23681\/3. What is the nearest to -20 in -3\/5, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -r**4 + 5936*r**3 + 89346*r**2 - 481936*r - 565345 = 0.\nAnswer: -19, -1, 5, 5951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 999718284 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from euzueezzuzzuzz. Give prob of picking 3 z.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 + 10. Let s(c) = -6*c**2 - 1. Let x(b) = -b**2. Let n(v) = -s(v) + 5*x(v). Calculate the smallest common multiple of k and n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -485*i - 4*c + 48 = -497*i, -4*i - c = 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5, 15, 35, 65, 105?\n\"Answer: 5*f**2 - 5*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -727.3 - -728.3. Let c = -5.4 + -0.6. What is the fourth smallest value in o, c, -0.2, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 23326 and 1087334?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 73 = 111. Let n = 20 + m. Solve -b = 3 + n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*i**4 - 3*i**4 + 4*i**4)*(0 - 1 + 0) + (-i**3 - i**3 + i**3)*(2*i + i - i) to q*i**2 + u + f*i**4 + y*i**3 + z*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 6568231, 13136462, 19704693, 26272924, 32841155, 39409386?\n\"Answer: 6568231*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 3*u + 674, -3*r + 1102 = u - 910. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1438 divide 93349147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -107 and -2271195.\nAnswer: 243017865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -334*b + 353*b + 19 = 0. Put -3, -17, b in increasing order.\nAnswer: -17, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 694 or -4?\nAnswer: 694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 5 (c) -1 (d) 116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-3\/7)\/m**(-1))\/(m**6\/(m*m**(2\/9))) assuming m is positive.\nAnswer: m**(-265\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26422 and 2678230?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*q**3 - 40*q**3 - 37*q**3 + 114*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1914.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -224, -225, -226, -227, -228, -229?\n\"Answer: -q - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l. Let p(j) = -21*j - 56. Suppose -5 = -2*s - 95. Let x be 2\/(-4) + s\/10. Let y(h) = 2*h + 5. Let d(q) = x*p(q) - 56*y(q). What is d(k(r))?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4134947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 10 + (-1 - -1 - 0). Let n be (2\/a)\/(2\/(-5)). What is the nearest to 4\/7 in 1, -4, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + (-11 - (-20)\/(-5)). Let j be (-11)\/(-6) + -3*1\/a. Factor -1737 - 6*b**4 - 72*b**j + 28*b**3 + 80*b + 1705 + 2*b**4.\nAnswer: -4*(b - 2)**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 4*v - 17. Suppose -190 + 148 = -6*i. Determine r(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9 + 10. Suppose 41*n + 84*n - 175*n = -3300. Calculate the remainder when n is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9)\/6*2\/(-1). Solve -6 = -c + p*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4092, -3603, -24486, -65151, -132192, -232203?\n\"Answer: -1099*u**3 - 2*u + 5193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 + 101211210042?\nAnswer: 101211210032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*m + 2*m - 540 = -24*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/(-21))\/(6\/21)*1540\/(-210)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*j + 41*j - 237*j + 23*j.\nAnswer: -166*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 and -36*((-78)\/12 - -6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-11 + 18 - (-1 - 3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {z: 2, w: 2, p: 2, a: 1, j: 6, i: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 1)*(-1 + 1 + 2*r**2)*(-4*r**2 + 0*r + 0*r).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 + -7710?\nAnswer: -7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-54)\/(-495)*-11)\/(9*(-1)\/(-165)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 2\/19 (b) -4 (c) -5\/3 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.7 in 0.02, -0.07, 2, -26, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-126))\/(((-20)\/(-35))\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 4*o - 14. Suppose 2*s - o = -0*s. Solve -4*a = -a + 2*u - 7, -2*a - 6 = s*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*l - 10, -5*y + l = -997. Let t = 1397\/7 - y. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 215*k + 217*k - 861*k + 224*k + 220*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 243915.\nAnswer: 3, 5, 7, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -55*c**2 - 2*c**4 - 4 - 53*c**2 + 111*c**2 in the form d*c**2 + p*c**3 + s*c + f + x*c**4 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 14*a + 15*a + 1763 = 0, 0 = 2*g + 5*a - 1793. Calculate the highest common divisor of 104 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5\/(420\/72 + -5). Let q(s) = -22*s + 139. What is q(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 58\/5 - 1\/5*o**2 - 27\/5*o.\nAnswer: -(o - 2)*(o + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the first derivative of c**3\/3 - c**2 + 8. Give i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 276 - 275.9999863. Round l to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35 times -2?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33577503 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -941*b**3*x + 2*b**2*x + 3*b**2 + 2*b + 362 wrt b?\nAnswer: -5646*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 4:51 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4992332 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18346, -73282, -164832, -292990, -457750, -659106, -897052?\nAnswer: -1171582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*z + 40 = 0. Let w be 4\/z*(8 - -2). Solve 2*f - 7*f - w*j = 5, 5*f = -3*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4d (base 15) in base 13?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the third derivative of -m**9\/63 + m**5\/60 + 3*m**2. Find the third derivative of h(y) wrt y.\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 299091347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*j + 102. What is the remainder when 60 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4162920095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.128764 times 0.4\nAnswer: 0.0515056","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1089995?\nAnswer: 5, 277, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 4*u + 1. Suppose -3*k + 13 = -11. Suppose -6 = -2*s + k. Calculate the lowest common multiple of x(1) and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290476 is divided by 297.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 12*u + 2. Suppose -27*a + 29*a = -5*j + 13, 0 = j + 2*a + 7. Let r(g) = -11*g - 2. Determine j*k(z) + 6*r(z).\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = -78 + 66. Let d be (-512)\/(-240) + o + 56\/30. What is the biggest value in d, -0.003, 1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-r**3 + 0 + 0)*(1 + 2 - 1) + 156*r**3 - 506*r**3 - 198*r**3 as a*r**3 + k*r + o + w*r**2 and give a.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 56*c*o**4 + 10*c*o**3 + 16179*c*o**2 - 2*c*o - 433*o**4 - o**3 + 2*o - 2 wrt o?\nAnswer: 1344*c*o + 60*c - 10392*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 156 - 4*4\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 4*z - k + 1, 0 = 2*z + k - 7. What is the third derivative of -2*c**z - 2*c**3 + 0*c**3 + 6*c**3 wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6899414 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -143, -275, -403, -539, -695, -883, -1115?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 - -49. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 23 = -5*x, 0*p + 59 = 29*x - 26*x + 5*p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3, 0.01, 0.1, -188?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(2736)*1*4 + 2 + -4 + (sqrt(2736) - (sqrt(2736) + 0) - sqrt(2736)) + -5 + -1 + -5)**2.\nAnswer: -720*sqrt(19) + 24724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-90)\/50*3\/(45\/(-25)). Solve -18*i = -19*i - o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -1\/9, 5, 129.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -242159 = -4*z + 3*v, -4*v + 6 = 10. What are the prime factors of z?\nAnswer: 60539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**3 - 54*i**2 - 26*i - 1592. Let m be l(55). Let n = 2 + -6. Sort n, m, 0.\nAnswer: n, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((2 + 2 - 3)*(-2*f + 0 + 0) + 1 - 1 - 2*f)*(f + 6*f + 2*f) in the form t*f**2 + w*f + v and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6544, 6551, 6552, 6547, 6536, 6519, 6496?\nAnswer: 6467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -8844*r = -8825*r - 456 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 + -2 + (648 - 714).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 36 divided by 18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 18, -3, 7 in decreasing order.\nAnswer: 18, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 4*d - 12 = 0. Let v = d + 0. Suppose -c - 1 = -2*c. Calculate the least common multiple of c and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-21*l + 40 - 17*l + 39*l)*(112*l**2 + 29*l**2 + 79*l**2) in the form h*l**3 + k*l + q + r*l**2 and give h.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 361 - 177 - 2*l - 4*l - 178 + 27*l - 13*l**2.\nAnswer: -13*l**2 + 21*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -1*sqrt(2736) + 0)**2 - ((-4*(1 + sqrt(1900)))**2 + -2).\nAnswer: -27653 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-170)\/(-8) - (-12)\/16)\/(9\/(37 - 55))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 4*i**2 + 9*i - 5. Let m be n(-3). Suppose -g - 176 = -6*g + 3*y, -g = m*y - 49. Calculate the remainder when g is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 204011 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-322)\/(-35))\/(2\/5). Factor 17*t**3 + v*t**3 - 39*t**3 - 4 + t**4 - 9*t**2 + 11*t.\nAnswer: (t - 1)**3*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*c - 2*y + 34, -11*c + 3*y = -10*c + 1 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 957664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, q: 5, a: 1, c: 8}. What is prob of sequence aj?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*d = -50 + 179. Solve 0 = d*n + f + 5, 2*f - 10 = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1226 + -589. What is the highest common factor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**1*y)\/y**(-7\/2))**(-2\/7) assuming y is positive.\nAnswer: y**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v*v**5*v)\/(v\/((v**(-3\/2)\/v*v)\/v)))**(-1\/6) assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1171012243.\nAnswer: 1447, 809269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -4 + (1 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**2 - 9*f - 188. Let c be x(-10). Solve -c*v + 2 = 4*l, -3*v - l + 0*l + 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 654 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 221183 and 0.5.\nAnswer: 110591.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 91624380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.09 (b) -37 (c) 0.2 (d) -2\/17 (e) 2 (f) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3745179051, -3745179052, -3745179053, -3745179054, -3745179055, -3745179056?\n\"Answer: -u - 3745179050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 6889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6.7 + 183.3. Let o = -190.000026 + z. Round o to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 161*n - 2927 - 1486 = 4281 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 + 7*o**2 + o - 2. Let f be s(7). What is the common denominator of (f\/10)\/((-8)\/(-38)) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 440\/672 - 3\/4. Let k = 6\/161 - 388\/1771. What is the third biggest value in m, 1\/5, k, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 0*n + 6 = 0. Suppose 0 = -2*k, -4*h + 23 - 187 = n*k. Round h to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -77, -75, -83, -107, -153, -227, -335?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2050)\/820*(-2)\/(-160)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*c - 5*i - 159, -44744*c + 44741*c = -6*i - 150 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 24*c**2 + 85*c**5 - 17*c**4 - 3*c**3 - 7*c**4 - 179*c**5 + 97*c**5.\nAnswer: 3*c**2*(c - 8)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 69 and 13179?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q**2 + 3*q**2 - q**3)*(2 + 11 - 8).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -14 + -d?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3913747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + a = 12, l = a - 32. What is the units digit of (-1 + 0)\/(4\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 53*b + 2 - 3 as s*b + x and give s.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -3*h + 19. Let n be p(-5). Let b(i) = -n + i**3 + 9*i - 10*i + 14. Suppose -5*o = -7*o. What is b(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 9) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -18 + -2 + 104 + -85 + 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4122202 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is -198278 - 0.5?\nAnswer: -198278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (6*p**2 - 4*p**2 + 21*p**4 - 16*p**4)*(3 - 3 - 3)*(9 - 1 + 4) in the form j*p**3 + i*p + f*p**4 + b*p**2 + k and give f.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of o**4\/24 - 11*o**3\/6 - 9*o**2. Let z be a(7). Let n = 8 + -7.7. Sort -1, n, z.\nAnswer: z, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 3*l + 6, 2*u - 14 = -5*l + 7. Let o(y) = -2*y**2 + 3*y + 1. Let r be o(-2). Let c = u - r. What is the remainder when 46 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(120\/(-5)))\/((-3)\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(225) - sqrt(25)) + 1*sqrt(2025))\/((sqrt(405) + sqrt(405)*-1 + sqrt(405) + sqrt(405))*-1 - sqrt(405)) + -3)**2*1.\nAnswer: 28*sqrt(5)\/9 + 7541\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -6.303 to one decimal place.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 136751 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6 and 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*z**4\/7 + 4*z**3\/7 - 8*z**2\/7 - 16*z\/7 = 0. Calculate z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 145\/725916 and 101\/16.\nAnswer: 2903664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.9 and -0.2?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -364.9781 + 365.09. Round z to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 2*x**3 + 32*x**2 + 58*x + 28 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7 + -387439?\nAnswer: -387444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 1257 divide 80036899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-10)*(9 + 1). Suppose 4*w = m*h - 1 + 25, -3*w + 4*h = -21. Suppose w = -5*z + 13. Solve 0 = -0*b + b + z*j, -3*b - 5*j = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 2*j**2 - 5*j - 2. Let m(t) = 2*t**2 - 10*t - 4. Let r(v) = -2*a(v) + m(v). Let n(l) = -1506*l + 2. Calculate n(r(c)).\nAnswer: 3012*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 - 24. Suppose 5*o - 2*h = 361, 355 = 5*o + h - i*h. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 2\/3, -1.49 in ascending order.\nAnswer: -8, -1.49, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/26 - 5\/(-52). Sort 1\/8, w, -1\/8 in decreasing order.\nAnswer: w, 1\/8, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1*18\/45*1. Is i smaller than 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = 3*y - 2*d, -d - 3*d = -3*y - 33. Let c be (y - -4)\/((-3)\/6). Suppose -2*g - k = -252, -111 = -g + 3*k + c. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -382*s**3 + 1 - 1141*s**3 + 1902*s**3 - 1 - 384*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -184 - -186. Suppose -5*t - 2*y = -5*y - 10, 3*t + f*y = 6. Solve -t*b - 1 = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 224 and 4?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16.46*0.4.\nAnswer: 6.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110*q**5\/3 - 435*q**4\/2 + 820*q**3\/3 - 15*q**2\/2 - 35*q\/3 = 0. What is q?\nAnswer: -7, -2\/11, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 498979 + -162768. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 + 4*h - 8. Let l be q(-6). Let a be (l\/6)\/(8\/108). Suppose 4*k - 7 = a. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 131, 665, 1555, 2807, 4427, 6421, 8795?\n\"Answer: i**3 + 172*i**2 + 11*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 475.1 + -475. Let u be (4 - 5) + -3*1. What is the second smallest value in h, u, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -69444, -136857, -204270?\nAnswer: -271683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(-10)*50\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34, 84, 162, 268?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3.871, 5\/7, 0.02, -0.5, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1586732 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6706a (base 11) in base 4?\nAnswer: -113233113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -252 * 49.\nAnswer: -12348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*f + 3*f + 5*f - 2*f + 3*f - 2*f + (1 - 2 - 1)*(0*f - f + 2*f) + 0*f + 2*f - f - 7*f + 3*f - 2*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -857421*v - 1714844. Give m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.008756 to four dps.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) + sqrt(5) + 3 + -1 + 2 + sqrt(60)\/(sqrt(144)\/(sqrt(12) - (sqrt(12) + sqrt(12)*-2 + sqrt(12)))).\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 612228, 612215, 612198, 612177, 612152, 612123?\nAnswer: 612090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, o: 2, v: 2, m: 3, x: 2, u: 4}. Give prob of sequence okkv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -4655*n**5 + 2996 - 2996 + (3 - 3 + 2*n)*(-n**4 + 4*n**4 - 2*n**4).\nAnswer: -4653*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 97*y. Is h(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -48*j*s**2*v**2 - 18*j*s**2*v - 2*j*s - 2*s**2 + 866*s wrt v?\nAnswer: -96*j*s**2*v - 18*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -25 + 587 + -529.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 103*k**2 - 2*k**2 - 5 + 41*k**2 + 3*k**2 + 46*k**2.\nAnswer: 191*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 30*l**2 - 2*l - 2. What is the tens digit of x(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (6 - 3)\/((-6)\/(-26)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, z: 4, c: 1, d: 1, q: 4, w: 3}. Give prob of picking 1 c, 1 z, 1 o, and 1 d.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 87688514.\nAnswer: 2, 59, 743123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of -c**4\/6 - c**3\/6 + 13*c**2 - 147. Let m(a) = -7*a - 1. What is 3*m(g) - 5*o(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.3 + 0.3. Let m = -1 + 0. Let f = m + 2. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 192057748?\nAnswer: 2, 653, 73529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0 (c) 1911\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -2*k + 5. Let l be i(4). Let s be 8\/(-12) + 1\/l. Calculate the common denominator of 130\/8*(-1 + s) and -83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = y + 4. Let i = 30.9 - 31. Suppose -16 = -v + 4*p, -v + 4*v = -4*p - 32. Which is the closest to i? (a) v (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10605826*l**2 - 16534536 wrt l.\nAnswer: 21211652*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 299, 301, 303, 305, 307, 309?\n\"Answer: 2*w + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*n - 3*k + 5, 32 = -4*n - 3*k + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -7695340 rounded to the nearest 10000?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 + 3*n + 214. Let q(h) = h**2 + h. Let w be q(-1). Is y(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(475) - sqrt(475)*1)*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -5*p - 20, 38 = -3*q - 0*q - 4*p. Let n = 1 + q. Let g = n + 7. Are -2 and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -3*m**5 - 222*m**4 - 3087*m**3 - 10260*m**2 = 0.\nAnswer: -57, -12, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 508 in -1, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/((6\/28)\/(3\/(-4))). Is 12 a factor of -1 + 5 - g - (0 - 175)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10553 and 1038?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2931560 rounded to the nearest 10000?\nAnswer: 2930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -38 - -53. Let l = 26 - u. Let s be l\/(-2)*(-2)\/1. Solve s + 1 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -316 + 320. Solve -12*j = -q - 56 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27780, -55614, -83606, -111834, -140376, -169310, -198714, -228666?\nAnswer: -259244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 28, 178.6, 2\/11 in descending order.\nAnswer: 178.6, 28, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 6.52 + -0.03354.\nAnswer: 6.48646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(637) + 0 - sqrt(52)*2.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of s**6\/30 + 5*s**3\/3 - 9*s. Find the second derivative of n(p) wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - (-14 - -5 - -13)) + -1 + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 19 divided by 1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -529*y - 100*y = -132*y + 2485 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*v - 40*v**4 + 42*v**4 - 2*v wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-w**2 + 4*w**2 - 5*w**2)*(-7*w - 15*w + 7*w) + 4*w**3 + 4*w**2 - 4*w**2)*(-2*w + 4 - 4).\nAnswer: -68*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -340*c + 6601. Calculate w(20).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -3212 != 4.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6.03 - 7.13. Which is the smallest value? (a) -2 (b) 2\/9 (c) 0.4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 a when three letters picked without replacement from otzuaaup.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1200 - -1032?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19231560 divided by -142456.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 + 5. Suppose -1510*m + 13950 = 815*m. What is the least common multiple of q and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -235.87 - -235.07. What is the third smallest value in 4, k, -34, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 7*f + 4 = 0, -5*i + 38 = -2*f. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-225)\/12 + (-6)\/24. Let a = -17 - w. Let t(b) = b**2 + 3*b - 10. Let l be t(-7). What is the highest common divisor of a and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 287, 2, -53, -4 in descending order.\nAnswer: 287, 2, -4, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 285 = -36*a - 219. Is (-12117)\/(-49) + 4\/a + 5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3634186078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12 + 23. Let h(n) = -n**3 - 15*n**2 + 4*n + 72. Let x be h(-15). Let c be 0*(x\/120)\/((-2)\/4). Put c, 3, -2, g in descending order.\nAnswer: g, 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t\/(t**(4\/7)\/t))\/t)\/t)\/(t\/(t*t**(-2\/17))))\/(t**(-7)\/t*t**7)*(t\/(t**(4\/9)*t))\/t*t**(-7)*(t\/(t*t**(-1\/2)))**10 assuming t is positive.\nAnswer: t**(-3356\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5875 divided by -47.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-1) - (1 + 2 + 0). Is (-8)\/(c - -1)*(-782)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5671445 or -5671446?\nAnswer: -5671446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 3\/157 (c) 4\/39 (d) 0.3 (e) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25 - -41. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 0, 0.4, 99 in ascending order.\nAnswer: -5, 0, 0.4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (-6 + 0 - (-6 + -12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1960*k = -2122*k + 6627744. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -2, 16, 22\/9, 0, -3\/5 in decreasing order.\nAnswer: 16, 22\/9, 0, -0.3, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100101110110 - -100010110?\nAnswer: 101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 - -7.1. Let a = -38 - 40. Let c = a - -77.7. Put c, 2, f in descending order.\nAnswer: 2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 6:32 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1114, 2224, 3330, 4432, 5530, 6624, 7714?\n\"Answer: -2*q**2 + 1116*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 9:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 646486004?\nAnswer: 2, 83, 1947247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/26 + ((-1566)\/39 - -5). Let o = g - -18. Let p be (1*-1)\/(o\/(-221)). Sort 4, 2, p in decreasing order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-33)\/231)\/(1\/2). Put 3\/2, 4, r in descending order.\nAnswer: 4, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 7, p: 1, l: 3, a: 2, q: 2, x: 3}. What is prob of picking 2 l and 1 x?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 10:06 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -375 - -535. Suppose -9*j + 29*j = y. Solve 3*p + 2*g - 7 = 0, j = -p + 4*p + g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -59 - (78 - (75 - 23)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*n + 38*n = -200 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -11 + -13 + 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1042 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -75c4 (base 15) to base 9.\nAnswer: -37174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -13332131*y + 13331996*y = 945 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 156459.\nAnswer: -1\/52153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -104 - -230?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 490 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the second derivative of -2*j**3\/3 + 2*j**2 + 41*j - 18. Let h(i) = 7 + 0*i + i - 9*i. What is 6*h(t) - 11*m(t)?\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xgv when three letters picked without replacement from ztzzvgyzvgvyxyzgyvz.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11140 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -4214466.48 rounded to the nearest 10000?\nAnswer: -4210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 10 + 10)*((-w + 0*w - w)*(1 + 1 - 1) + 0 - 2*w + 0 + 0 - w + 0)*(-w - 2*w + w).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 798 and 44146671?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 23462396 to the power of 1\/2, to the nearest integer?\nAnswer: 4844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 AM and 5:35 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - 1*3\/(-3). Suppose -2*w + 0*w = -q*x - 30, -3*w + 43 = -2*x. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = z - 5, 5*z = 3*z - 16*p + 58 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -0.3, 0.515, 1, 11, -113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 284 a factor of 392861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 17*g**3 + 187*g**2 + 9*g + 106. Determine n(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 35, 3, 1\/6 in ascending order.\nAnswer: 1\/6, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 4*h - 6. Let u(k) = -k**2 + 5*k + 4. Let t be u(6). What is the remainder when (-3)\/(-6) - 57\/t is divided by z(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-1))\/((-3)\/(-6))*(-361)\/38?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2611 + 2634. Solve 11*z - 54 = x for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -51105 and -0.0288434313.\nAnswer: -51105.0288434313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.6? (a) 2 (b) -0.225 (c) -2\/4903\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*m*w - 95*m + 1194536*w - 49432 wrt w?\nAnswer: 3*m + 1194536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4 + (-1)\/((-4)\/(-348)). Which is the second smallest value? (a) -2 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1760 + 439 = -12*w + 2807. Solve 345*f - w*f + 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 4 - 1 - 33*b + 4.\nAnswer: -33*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 114 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1)\/k)**(2\/73)*k**0\/k**6*k**4\/k*k*k*k**(-5)\/k*k**(7\/2)*k*((k*k\/(k**(1\/6)\/k*k))\/k)\/k*k*k assuming k is positive.\nAnswer: k**(-158\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/7, 4\/3, 5, 1 in descending order.\nAnswer: 5, 4\/3, 1, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 62585329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Find p such that -9*p**4\/8 + 3*p**3\/2 + 75*p**2\/8 + 39*p\/4 + 3 = 0.\nAnswer: -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 PM and 3:06 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 227778.\nAnswer: 2, 3, 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2*5\/10*1. Which is the third biggest value? (a) 0.15 (b) -1\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 418 and 87428.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 144 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -9*k**2 - 26*k + 26. Let a be l(1). Sort -6, 1\/3, a in ascending order.\nAnswer: a, -6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3718 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 - y**2 + 2*y + 4. Let p(w) = -w**2 + 6*w + 24. Suppose 44*t = 51*t - 63. Let a be p(t). Calculate u(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of -1\/80*s**5 + 0*s + 18*s**2 - 1\/840*s**7 + 1\/6*s**3 + 1\/120*s**6 - 1\/24*s**4 + 0. What is b in q(b) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -5*(-10)\/250*-5. What is the fourth smallest value in 0.024, k, 3, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -54, -37, 14, 117, 290, 551, 918, 1409?\n\"Answer: 3*c**3 - c**2 - c - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**11)**(-1\/25) assuming b is positive.\nAnswer: b**(-11\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/30 + 16\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d - 18892*r = -18897*r + 15, 4*d + 7*r = 21 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53792?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -170, 3, -3 in increasing order.\nAnswer: -170, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkzk. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104 = 5*l + 9. Let t = -56 - -128. Suppose 0 = -4*g + 2*g + t. What is the remainder when g is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5105458 or 5105437?\nAnswer: 5105437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.034 in -10, -2, -1\/7, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2769 a factor of 24195238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(-2\/3))**(40\/3)\/(x*x**4*x**(1\/5)) assuming x is positive.\nAnswer: x**(-34\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**3 + 19*s**2 + 6*s - 2. Is g(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 1:53 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) -1\/19 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 1.9211, 4, 0, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1148578*v**3 - 1148567*v**3 + 3*v**2 + 2297132*v**3.\nAnswer: -13*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 5467666 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: Find the common denominator of 151\/5010 and 151\/3006.\nAnswer: 15030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 367215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -2*l**2 + 17*l - 6. Let k be x(8). Let q(j) = -j**2 - 3*j + 6. Let s be q(k). Let n = 0.029 + 0.271. Sort -0.1, n, s in decreasing order.\nAnswer: n, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75066489 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*b**3 + 22 + 31*b**3 + 14*b**3.\nAnswer: 25*b**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 - r + 3. Let v be a(0). Suppose -2*c + 10 = -t - 6*c, 0 = v*c. Let h = 20 + t. Solve -2*f + h = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 0 + 4 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-3)\/(j**(-1)*j))\/((j*j\/j**(-4))\/j*j*j**(1\/9)\/j*j)*(j**(-2\/7)\/j*j)**(1\/16)\/(j\/(j\/(j\/j**(-2\/5))))**(-49) assuming j is positive.\nAnswer: j**(149867\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 66 and 150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2 - 6*a + 15. Let s be w(-8). Is s smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 5*v + 1 - 3, 0 = v. Let j(s) = 5*s. Let q be j(2). Suppose 4*d + q = 9*d. Solve 0 = -z*g + 5*m - 26, -d*g + 2*m = 6 + 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 356 - 667 = 23*q - 357. Put 16, q, 1, 4, -3 in decreasing order.\nAnswer: 16, 4, q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7064006569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 76572.4 days?\nAnswer: 6615855360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence drr when three letters picked without replacement from {v: 1, d: 2, r: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be 51\/(-33) - (-11 - -10). Let g = 25\/66 + k. Which is the second biggest value? (a) 3\/2 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -531.8 * 0.58\nAnswer: -308.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -248 + 102. Let x = j + 192. What is the remainder when 228 is divided by x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11110 (base 2) to base 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - 43\/(-6)) + 13\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 47028 or 47027?\nAnswer: 47028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 252079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be (75\/27 - 3) + 34\/(-90). Let r = -1 + 2. Which is the third biggest value? (a) p (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011 + 10001100111?\nAnswer: 10001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 5*k + 10606 + 3286 = 0, 13916 = 4*u + k. Does 47 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 276 divide 173297364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-96)*4 + (-1)\/(-6). Put -3, i, -1, 5 in decreasing order.\nAnswer: 5, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5)\/(-30) - 46\/(-12). Let y = -3 + 5. Sort 0, k, y in ascending order.\nAnswer: 0, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**3 - 7*n**2 + 8*n - 7. Let i be k(6). Let g(w) = -w**2 + 5*w + 5. Let s be g(i). Calculate the highest common divisor of s and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 30 and 318?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25 + 0. Calculate the remainder when o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -120220 - -12?\nAnswer: -120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27 + 47. Let c be (-1 + 0)\/(1\/13). Let a = q + c. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5b0a04 (base 12) to base 2.\nAnswer: -101100111110010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -24 * 44274\nAnswer: -1062576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 762 - -0.05.\nAnswer: 762.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 4, 2\/1265, -1\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2829*z - 13235 + 16885 = 23757 + 19499 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 1 = 3*s. Let z(u) = u**2 + 0*u**2 - 14*u - 5 + 20*u. Let l(r) = r**2 - r + 1. Let h(o) = 5*l(o) + z(o). Calculate h(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28510360.\nAnswer: 2, 5, 17, 41927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t + 18*t + 127*t)*(2*t + t - t).\nAnswer: 284*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 457\/(621520\/510)*16\/26.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 191\/1096680 and 25\/484848?\nAnswer: 46060560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93943 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 15866 < 15861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in twenty-six sevenths of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-477687)\/66 + 1 + -1. Let q = j + 7241. Find the common denominator of q and (-2)\/4 - (-212)\/(-32).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from nonpmnnnnnmcmo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the third derivative of -22*u**2 + 4*u + 0 + 1\/6*u**4 - 1\/2*u**3. Let d(m) = -m. What is q(d(i))?\nAnswer: -4*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47, 47, 49, 53?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -26, 1 in descending order.\nAnswer: 1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 3 = 4*n. Suppose -n*p = -4*w - 49, -4 = -3*w + 4*w. Let g = -45 + 77. What is the remainder when g is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -173 + 173. Suppose 5*h - 2*h - 15 = u. What is the closest to -1 in -5, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 412.639265 rounded to one decimal place?\nAnswer: 412.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, 18 in descending order.\nAnswer: 18, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*((-174)\/3)\/(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -95\/378 and -71\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -2*c**2 - 18294*c - 36580 = 0.\nAnswer: -9145, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ruvuvvvrvvvvwrvvruvr. Give prob of sequence wurv.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-186)\/(-26) + (-32)\/208.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*-6*2*sqrt(1088).\nAnswer: -288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -4*f + 1, -157*i + 18 = -163*i - 3*f. Sort i, -36, -13.\nAnswer: -36, -13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*x = 6149 + 1601. What is the greatest common factor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*g**4 - 4*g**4 - 2*g**5 + (45*g + 35*g - 15*g)*(-g**4 - g**4 + 4*g**4).\nAnswer: 128*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3841566 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-15154)\/(-4)*(0 + 3 - 1). Let a = y - 151497\/20. Calculate the common denominator of a and 109\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 121 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 13569464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*p - 17*p + 154 = g, -82 = -g + 10*p. Calculate the greatest common divisor of g and 15228.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 9*l**2 + 101*l - 26. Let d(r) = 7*r**2 + 84*r - 27. Let o(y) = -5*d(y) + 4*v(y). Give o(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the first derivative of c**6\/288 - 5*c**4\/24 - 2*c**3\/3 - 35*c + 68. Let w(t) be the third derivative of y(t). Let w(u) = 0. Calculate u.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 239 + -224. Suppose 5 = -i*p + 950. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11ee (base 15) in base 9?\nAnswer: -5218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a - 1. Let q(b) be the third derivative of 1\/3*b**4 + 0 - 5*b + 10*b**2 + b**3. Determine 14*k(d) + 2*q(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((81\/18)\/(-3))\/((-12)\/32))\/15.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**11*p*p**(-8)*(p**11)**(-17) assuming p is positive.\nAnswer: p**(-183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -3087 + 3143 + (0 - 33)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2145*d - d**5 + 2*d**3 + 1242*d**2 - 2045*d**2 + 1012*d**2 wrt d?\nAnswer: -20*d**3 + 12*d + 418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -25074865 != -25074864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 2*l + 38 = -l, -5*y - 62 = -3*l. Let z be 11 + y + (-82 - -2) + 1. Let f be (3\/(-5))\/(z\/(-15) - 5). Sort f, -2\/11, 3 in descending order.\nAnswer: 3, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 23331430 - -142?\nAnswer: 23331602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 3157246 by -28.\nAnswer: -1578623\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 577804 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes before 10:02 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1425310 - 0?\nAnswer: 1425310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o + 6. Let h be v(6). Suppose -3*n = q - 19, -2*q - 2*n + h*n = -18. Let p = -103 - -106. Solve -p*m - 2 - q = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 163878.8ml in litres?\nAnswer: 163.8788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(-3\/7)*y\/(y\/y**(-6\/13))*((y\/y**(-1\/6))\/y)\/y*y**8 assuming y is positive.\nAnswer: y**(3973\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -147*b**2 + 10164*b - 175692.\nAnswer: -3*(7*b - 242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -202 - -212. Let n be t\/115 - (-45)\/276. Suppose -n*o**2 + 3\/4*o - 1\/2 = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 827474 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 41*o**2 + 49*o + 744. List the prime factors of l(-17).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, w: 2, d: 1, a: 1, z: 6, h: 5}. What is prob of picking 1 w and 2 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(432) + (-1*sqrt(432) + sqrt(432))**2.\nAnswer: 4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -21\/5576912 and 11\/12167808.\nAnswer: 133845888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -32*g - 3. Let h(b) = -9*b + 14. Let m(t) = 49*t - 77. Let y(d) = 33*h(d) + 6*m(d). Determine f(y(k)).\nAnswer: 96*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(66)\/(sqrt(384)*-1) + (1 + 3*sqrt(275))**2.\nAnswer: 239*sqrt(11)\/8 + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 PM and 11:51 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2190 or 2192?\nAnswer: 2192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 76145.\nAnswer: 5, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -1*(-1*sqrt(1573)*-6*4 + 1)*-5)**2*6.\nAnswer: 110880*sqrt(13) + 135907494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s = l - 46, -3*s + 18 = -4*s - 10*l + 3*l for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 16531 + -16531.1127038. Let i = 0.1126 + g. Round i to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - 8 - (-7 + 3)) + 6 + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) 2\/17 (c) -2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((2 - -3)\/((-2970)\/(-396)))\/(-1 + 242\/246).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let p = -58.908 - 0.092. Let s = -58 - p. Which is the closest to 0.3? (a) -3 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 524 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-11)\/o*o)\/(o*o*o**(1\/36)*o) assuming o is positive.\nAnswer: o**(-505\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the third derivative of -125\/24*q**4 + 0*q + 0 + 0*q**3 + 103\/60*q**5 + 61*q**2. What is the second derivative of d(o) wrt o?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2264*v - 2941*v + 37240 + 1349 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 9\/9 - -5 - -2*(-5)\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -122\/11, -0.2, -3, 4 in ascending order.\nAnswer: -122\/11, -3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(1536))\/(2*sqrt(24)\/sqrt(2)) + -4)**2 + (sqrt(24)\/(-2*sqrt(588)) - (sqrt(200) + (sqrt(200) + -1 - sqrt(200)) + 3)**2).\nAnswer: -1457*sqrt(2)\/14 - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**2 - 37*v - 389. What is p(-20)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 - (81 - 1)\/(-2). Suppose 5*d = -2*l + 16 - 5, d - i = -5*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01045001 rounded to five decimal places?\nAnswer: -0.01045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63 + 295 = 4*a. Suppose -5*q + 7 = -d - 67, -3*q + a = -4*d. Suppose x = 2*x - q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16162132, 64648541, 145459222, 258594175, 404053400, 581836897, 791944666?\nAnswer: 1034376707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3269065297?\nAnswer: 3269065297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 1, -0.4, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of p**4\/4 - 6*p**3 + 12*p**2 + p + 9. Is o(17) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 7, n: 7, b: 2}.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11634240, -11634233, -11634224, -11634213, -11634200?\nAnswer: -11634185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -30*v - 1890. Let w be k(-63). Let l(u) be the first derivative of 4 + w*u + 0*u**2 - 4\/3*u**3. Let g(d) = -4*d**2. What is l(g(m))?\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 293455 is divided by 15483.\nAnswer: 14761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 40 and -31.4?\nAnswer: 71.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2803, 4997, 7047, 8953?\n\"Answer: -72*k**2 + 2410*k + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -417, -909, -1641, -2769, -4449?\nAnswer: -6837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 7 + 5 + -14 - (62 + -90)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3000 and 8475.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 305664.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 637951849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2 + 83015867.9.\nAnswer: 83015867.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 50357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 157826*h**2*w - 2*h**2 - 445*w**4 + 25340480 wrt w.\nAnswer: 157826*h**2 - 1780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 64 and 2391428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -344 times -3.44193\nAnswer: 1184.02392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -644 minus -2546?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 4*j = -4*c + 15, 0 = 2*j + 3*c - 15. Find z such that 3*z**2 + 3\/2*z**j + 0 + 3\/2*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -2 (b) -0.1 (c) -8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q - 6*q = 4*q. Solve q = 3*o + 2*o - 4*x - 20, x = -5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 309 is divided by 89.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9 - 11. Let m = 2 + l. Let u be 10\/12 - (2 - 1). Is m greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 35351624 + -11842785497\/335. Let j = 1\/670 - z. Let x = 151\/6 + j. What is the closest to x in 5, 0.9, 1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1505657732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*x - 27, -4*x = 3*k - 189201. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cuc when three letters picked without replacement from {c: 2, u: 4, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/15*(-2)\/1)\/((-31)\/(-310))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21743127 to the nearest integer?\nAnswer: 4663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 7:22 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7428, 23602, 57260, 117144, 211996?\nAnswer: 350558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -5*y + 30, 2*h - 2*y = 2*y - 12. Suppose -2*q = 3*w - 754, 1246 = h*w + 3*w - 2*q. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-321620)\/12168 - -26) + (-10)\/(-65).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from rdqdrdrwgkg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -187.91 + 188. Let q = -19 - -13. Is v greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -438c88 (base 16) to base 7\nAnswer: -52425244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = b + 3*o - 18, -5*b - o - 245 + 251 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 318003, 317989, 317971, 317949, 317923, 317893, 317859?\nAnswer: 317821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 6075*k**2 + 540*k + 12.\nAnswer: 3*(45*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -64*l - 12. Let f(o) = 486*o - 19. Calculate f(w(c)).\nAnswer: -31104*c - 5851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -14*f**2 + 1429*f + 141. What is l(102)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of 0*q**4 + 0*q + 0*q**2 + 5 + 0*q**5 - 2\/3*q**3 - 10\/7*q**7 + 0*q**6. What is the third derivative of x(s) wrt s?\nAnswer: -1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55959\/10 - 29769483\/5320. Let c = -1\/133 + o. What is the closest to 2\/23 in c, -2, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10380792 divided by 1?\nAnswer: -10380792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 608.7 - 549. Let o = r + -59. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 706*r - 354*r - 368*r - 304 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 - 11*r**2 - 11*r - 1. Suppose 9*q - 4*q + 50 = 0. Let n be w(q). What are the prime factors of (0 - -15) + (n - 6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -134193, -268381, -402569, -536757, -670945?\n\"Answer: -134188*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the first derivative of g**4\/8 - 6. Factor r(j).\nAnswer: j**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-179)\/(((-7)\/14)\/(2\/4)). Let h be ((1 - 3)*o)\/((-7)\/14). Suppose -8*k - h = -2012. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 302264928 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the second derivative of 5\/2*b**2 + 0*b**3 + 8*b + 0 - 5\/12*b**4. Find the first derivative of w(o) wrt o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.157 (b) 0.2 (c) -1 (d) 1\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 11*w = 435 - 109, -r = 3*r - 5*w + 146 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -61259484*d**3 + 75448*d**2 - 456 wrt d?\nAnswer: -367556904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -590*n**4 - n**3 + 6347*n**2.\nAnswer: -14160*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1346321674 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 45 + 51. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -4*k + 11. Let z(o) = -9*o + 20. Let i(d) = 11*g(d) - 6*z(d). Let u(r) = 6*r + r - 6*r - 1 - 10*r + 0. What is -4*i(p) - 5*u(p)?\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -532 - 1c?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(156)\/sqrt(3) - 3*sqrt(1300))\/(6*sqrt(432)\/sqrt(12)*-5).\nAnswer: 7*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*k**4 - 118530*k**3 + 701163005*k**2 + 15468639120*k + 85156470080.\nAnswer: 5*(k - 11864)**2*(k + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**2 + o**2 + 5*o**3)*(-916*o - 949*o + 628*o).\nAnswer: -6185*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 91255255297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -1. Let a(m) = 27*m - 2. Calculate 3*a(z) - 6*i(z).\nAnswer: 81*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 12160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -172472 divided by -3\nAnswer: 172472\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 3)*(2 - 5 + 5)*(-21 + 21 - 14*i)*(7*i**2 + i**2 - 7*i**2 + 2).\nAnswer: 84*i**3 + 168*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 29.37167 weeks to hours.\nAnswer: 4934.44056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67654555?\nAnswer: 5, 31, 436481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3358 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -6*v - 12. Let c be r(-2). Suppose 0*f + 2\/13*f**2 + c = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1953 and -183307.\nAnswer: -357998571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 4038 divide 81976446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 2*q + 1 - 9 - 64*q**4 - 15*q**4 - 2*q**3 + 3 + 4 in the form c*q**3 + y*q + n*q**4 + g + t*q**2 and give n.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12174662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 25305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of d**7\/42 - 187*d**6\/24 - 377*d**5\/12 - 315*d**4\/8 + 259*d**2. Find i, given that x(i) = 0.\nAnswer: -1, 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 161 a factor of 34776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -83 - -102. Let l = 76 - 38. Suppose l = 2*r + t, -4*t = -r + t + d. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(9\/5)\/w)\/w**11*w*(w**(1\/6)*w)\/w*w*w\/((w**17\/w*w*w)\/w) assuming w is positive.\nAnswer: w**(-721\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -5*k**3 + 207*k**2 + 146*k + 34. Is b(42) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -35.98 + 36. Let z = i + 0.48. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 101903777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -c + 1235, -94*b + 99*b - 3*c - 1255 = 0. Solve 244*u - b*u = 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**2)**(-11))**25 assuming u is positive.\nAnswer: u**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the first derivative of 0*o**2 + 1\/3*o**3 - o - 1. Let s be r(0). Sort s, -3, -2 in ascending order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -294.974646472 + 0.06.\nAnswer: -294.914646472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, 1\/3, 62.995 in decreasing order.\nAnswer: 62.995, 1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 222 is divided by 59.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f and 1 v when four letters picked without replacement from {v: 1, f: 11}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -202120 (base 3) to base 2.\nAnswer: -1000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2*w**2 - 7 + 11)*(-2*w + 2*w + 3*w**2).\nAnswer: 6*w**4 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.3034 - 0.335. Round x to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 l, and 2 d when four letters picked without replacement from {l: 11, d: 1, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -459751*q + 13332778. Determine l(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*s**3 - s**3 + 0*s**3 + (1 - 4 + 4)*(-13 + 13 + 6*s)*(0 + 0 + s**2).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 0 + 31*h**2 + 3 - 92*h**2 in the form d + j*h**2 + w*h and give j.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/23571032 and -79\/11785516?\nAnswer: 23571032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -12957 - 11280 = 387*q + 6723 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/(-21))\/(-4)*(-36)\/612*17\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2898 and 124824?\nAnswer: 8612856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5347, -10959, -16587, -22237, -27915, -33627, -39379, -45177?\nAnswer: -51027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**3\/5 - 608*i**2\/5 - 1838*i\/5 - 1228\/5.\nAnswer: 2*(i - 307)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 903\/8 - 113. Let t = 28.96 + -28. Let w = t + 0.04. Put 4, w, q in decreasing order.\nAnswer: 4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 8 - 55a?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/10 + (-6)\/(-15). Sort 5, u, 2, -5 in ascending order.\nAnswer: -5, u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.489 + 0.011. Let i = f - 4.5. Which is the nearest to i? (a) 3\/20 (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 5*n - 7 - 18 = 0, 2*f + 2*n = 2. Suppose d = -10 + 2. Let v = f - d. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q**3\/2 - 13301*q**2\/2 + 39917*q - 53228 = 0. Calculate q.\nAnswer: -13307, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -67771 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 396 - 384. What is the highest common divisor of 108 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65*z - 1079 - 292 = 254. What is the greatest common factor of z and 2525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-7) - (-2 - 0))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -4\/319499?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20803538 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1349661 divided by 433.\nAnswer: -3117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z + 1. Let c(b) = -6*b - 3. Let a(u) = c(u) + 3*r(u). Suppose -d = 4*d - 10. Let t(w) = -3*w**2 - 2 - d + 4. What is a(t(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 - 4. Let n be (33\/(-22))\/((-3)\/y). Suppose n = -o, 2*b - 2*o = o + 56. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: 86d (base 15) to base 4\nAnswer: 131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29 - 21. Suppose 3*o - 2 = -t. Put 4, 5, o in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6409436 is divided by 81?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*o + 487 + 521. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -448, -569, -690, -811, -932, -1053?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 24*j - 115. Let k be z(5). Let v = -62 - -347. Suppose -k*g + 1902 = 4*u, 5*g + 178 + v = u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 297.0533 + -0.0533. Let l = 4.1468696236 + -301.1468734336. Let i = l + r. Round i to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 18319487.\nAnswer: -5\/18319487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4)\/94)\/(16\/12372). Let t = 66\/47 + a. What is the common denominator of t and -11\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2308\/21 - 110. Let t = -0.6 + 1. What is the third biggest value in t, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**0)**(-1)*(x\/(x**(1\/2)\/x))**16 assuming x is positive.\nAnswer: x**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3180822 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 9*d**2 + 7*d - 4. Let q be x(-8). Suppose -w + 232 = 4*v + q*w, 0 = 2*v + 3*w - 114. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*sqrt(1152)*2)**2 + 1.\nAnswer: 165889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -7685 (base 10) to base 16\nAnswer: -1e05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p + 1. Let i be s(-1). Let t = -4374 - -4372. Put i, 13, t, -1 in decreasing order.\nAnswer: 13, i, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/2 (b) -0.9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -293? (a) -2 (b) 1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*(-20)\/32*16\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:57 PM and 8:08 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 3*l + 2. Let p = 4 + 2. Let x = -4 + p. Suppose 0 = -76*h + 77 + 303. Let t(r) = -7*r - 5. Give h*k(u) + x*t(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 23 and 2429.\nAnswer: 55867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9269352 to the nearest integer?\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2)*(d - 3*d - d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/5, 9704, -1, -3\/2, 0.1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.021565683 + -345.\nAnswer: -345.021565683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the second derivative of 1\/50*f**5 + 0 + 5*f - 1\/15*f**3 + 0*f**2 + 0*f**4. Factor x(u).\nAnswer: 2*u*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5121420 = -0*a + 4*a. Let k = a + -650355. Round k to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 11) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1470\/107 - -157297\/8560. Let y = 75\/16 - h. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2*n**3 - 9*n - 13. List the prime factors of f(-8).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 - -4. Suppose -6*m + q = -0. What is the smallest common multiple of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4752799?\nAnswer: 223, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 30 (b) -1372 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 74 = -z + 3*z, -155 = -5*t - z. What is the greatest common factor of t and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -104, -407, -912, -1619, -2528, -3639?\nAnswer: -4952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 121 - ((-4 - (13 - (-1 + 22)) - 9) + 10)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 304 and 19532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 2*d**5 - 10*d**4 - 26*d**3 - 14*d**2 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 40*p**5 + 372*p**4 - 8*p**3 + 4*p**2 - 1286*p - 45.\nAnswer: 2400*p**2 + 8928*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -199*o**4 - 399 wrt o.\nAnswer: -796*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 338291 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -5*x - 2958600, -3*q - 30*x = -34*x - 4437900. What is q rounded to the nearest ten thousand?\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10457068597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.5? (a) -7 (b) -0.5 (c) -4 (d) 5\/4 (e) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -38282*u**4 + 3*u - 3713.\nAnswer: -459384*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 - 22*q + 3. Let z be j(22). Suppose z*m - 142 = 4*c, -8 = -c - 3. What is the smallest common multiple of 12 and m?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1394.13229 - -1330.1314. Let i = 64 + b. What is i rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/2*(-16)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -3 + 6*m - m - 6 + 1 + 1. Suppose 5*t = 4*z - 12 + 43, -z = 5*t - 36. Let x(q) = -5*q + 6. Give t*x(j) + 6*u(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 494 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*o**3 + 417*o**2\/5 + 408*o\/5 - 12\/5.\nAnswer: 3*(o + 2)**2*(35*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ass when three letters picked without replacement from aaaaasss?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -294*d**3 - d + 7593 wrt d.\nAnswer: -882*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14794, 29509, 44160, 58747, 73270?\nAnswer: 87729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 75, 97, 133, 189, 271?\n\"Answer: v**3 + v**2 + 12*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 137 + -136.97. Let r be 32\/112 - 16\/(-42). Put -5, r, m in decreasing order.\nAnswer: r, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2142034114 + -1?\nAnswer: 2142034113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1732\/273 - 130\/21. Suppose -s - 204 = 2*s. Let z be s\/(-12) - (-2)\/(-3). What is the nearest to -1\/4 in 3, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-p - 2 + 2)*(34*p + 29*p - 70*p + 1) as i*p + s*p**2 + b and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22 and 22\/3 + (-2)\/(-3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24636 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*a - 2800 = -8*a + 6*a + 55*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 645.45912 milliseconds to hours.\nAnswer: 0.0001792942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -201 (base 6) to base 7\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 10368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5554 is divided by 1365.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 94\/41213 or -1?\nAnswer: 94\/41213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -2*i - 11*i**2 + 8*i**2 - 16 + 5*i**2 as z*i + y*i**2 + o and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000834043129 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 - 7*f + 24. Let x = 55 + -55. Suppose -4*i + 5*n + 20 = x, -i - 3*i + n + 4 = 0. Let v be g(i). What is the greatest common factor of 168 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3.53238 to 2 dps.\nAnswer: 3.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-17 + 4*g + 17)*(0 - 2 - 1) + 3*g - 2*g - 2*g)*(2 - 4 + 3 + (-1 + 1 - 1)*(1 + 0 - 2) + 5 - 1 - 2).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 14 + -2 - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 42309 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes before 8:12 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 23 - 20. Let a be -10*k\/6 - -3. What is the nearest to -2\/3 in -0.5, 0, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 305690626 is divided by 1874?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = c - 65, -28 - 47 = -5*r + 5*c. Is -0.1 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -14, -41 in increasing order.\nAnswer: -41, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-201)\/2 - (-69)\/(-46). Let s = 587 + h. List the prime factors of s.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 0.6 (c) 3 (d) 0 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 2088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -9289, -9301, -9341, -9421, -9553, -9749, -10021?\n\"Answer: -2*o**3 - 2*o**2 + 8*o - 9293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19216 is divided by 19202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30 and 4854?\nAnswer: 24270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -13893 by 1263.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 15) + (-88 - -90).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-17*v**2 + 45 - 45)*(-27*v - 76*v - 90*v) + (v - 2*v**2 - v)*(2 - 2 - v) to the form f*v**3 + w + b*v**2 + l*v and give f.\nAnswer: 3283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is s in -4*s**2 + 4*s + 48 = 0?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -45 - -48. Suppose 0*o - 213 = -m*o. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 36733\/(-25506) - (-14)\/9\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/17820 and 3\/40?\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kikikkuukkuiuuu. What is prob of sequence iuik?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (60\/(-825))\/(52\/10). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 811382 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 4*p**3 - 17*p**2 + 17*p + 6. What are the prime factors of o(8)?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 25, -2\/3, 3, 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 - 3*f**2 - 3. Let g(v) = -10*v**3 + 34*v**2 + 34. Suppose -5*k + 28 = 2*s, 3*s - 27 = -11*k + 6*k. Determine k*g(o) + 68*m(o).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4040959\/4 - 1010231. Factor -10 + 35\/2*f + 5\/4*f**3 - x*f**2.\nAnswer: 5*(f - 4)*(f - 2)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 3*a = -5*a - 7, 0 = 5*w + 3*a + 12. Is (-471)\/(-2)*(-22)\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-61)\/6 + 1420\/(-1704)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 75 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2*k**2 - 2*k - 12. Let y(j) = 3*j**2 - 3*j - 18. Let l(c) = 8*f(c) - 5*y(c). List the prime factors of l(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -2*l**2 + 6*l**2 - l**2. Suppose -2*p + 4 = 0, -u + 6*p - 4 = 3*p. Let w(h) = 0*h**2 - u*h**2 - 3*h**2 + 3*h**2. What is k(w(r))?\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5.90184 take away 0.4?\nAnswer: 5.50184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*a**3 + 133 + 89*a + 63 + 119 + 11 + 48 wrt a.\nAnswer: 6*a**2 + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 4, q: 2, i: 1, b: 4, n: 6, g: 3}. What is prob of sequence iqg?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 17297 and 63.\nAnswer: 155673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 + 2*f**3 + 20*f - 11*f - 8*f)*(0 + 0 - 29*f).\nAnswer: -58*f**4 - 29*f**2 - 348*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**3\/3 + 356990*a**2\/3 + 5310137002*a + 5310018006.\nAnswer: 2*(a + 1)*(a + 89247)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -20*q**3 - 4178 + 8*q**3 + 4177 - 3*q**3 + 4*q**3 - 3*q**3 + (-3*q + 2*q**2 + 3*q)*(5 - 5 - q).\nAnswer: -16*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -3*b**2\/2 - 774*b + 312015\/2 = 0.\nAnswer: -671, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*z**2 + 14*z**2 + 9*z**2 to j + w*z + i*z**2 and give i.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.12 + 2397676399.\nAnswer: 2397676398.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 + 14*q + 350. What is k(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 102, 160, 308, 588, 1042?\n\"Answer: 7*p**3 + 3*p**2 + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35251.\nAnswer: 35251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30164, 35938, 45556, 59012, 76300, 97414?\nAnswer: 122348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*j + 5*j + 0*j + (-2*j + 0*j - 2*j)*(2 - 3 - 1) + 4*j + 2*j - 5*j + 11*j - 50*j + 14*j + (2*j + 5*j - 5*j)*(4 - 4 - 2).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*y = 74*y + 295. Let u = y + 71. Let k(n) = 7*n**2 - 2*n + 1. Let l be k(1). Calculate the highest common divisor of u and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(j\/(j*j**5))*j*j*j**(-3\/5)\/j)\/(j**1)**(5\/4)*(j*j*j**(-1\/4)*j*j)**9*(j**(-1))**(-5) assuming j is positive.\nAnswer: j**(449\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 69809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 7\/14)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*c - 2*t - 7, -13 = -c + 4*t. Suppose q + 0*q - c = 0. What is the units digit of 10 + (q - (1 + 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 9 + 14, -3*x + 2*o = -3781. What is the common denominator of (-3)\/8*(8 + x\/(-195)) and 39\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-8)\/7 - 9328\/(-9632) and -81\/16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 3*(sqrt(15)\/(sqrt(5)*-2 + sqrt(5)) - sqrt(9)\/sqrt(3)*3) + ((sqrt(27))**2 + 3 - (sqrt(3)*2*-2)**2))*2.\nAnswer: -42 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*q**3 - 6*q**3 - 28*q**3.\nAnswer: -37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + -1. Suppose 120 + 52 = -86*v. Which is the smallest value? (a) l (b) 3 (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, q: 3, j: 2, v: 4, r: 3, a: 1}. Give prob of sequence jii.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 5 + 0)*((1 - 3 + 0)*(2 - 2 + q) + 13*q + 171 - 171).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 490\/9 - 2468\/45. Let j = 4 - 7. Sort 0.7, 6, w, j in decreasing order.\nAnswer: 6, 0.7, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and 241.\nAnswer: 120.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -22566.2329 to 0 decimal places.\nAnswer: -22566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 + 15*g**2 + 34*g + 2. Suppose 4*l = 8, -3*t + 43 = -6*l + 2*l. Let y be x(t). Let v(j) = j**3 + j**2 - 4*j. Let s be v(-3). Sort -1, s, -3, y.\nAnswer: s, -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04187372 to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 2222735, -6, -2 in increasing order.\nAnswer: -6, -2, 2222735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -512 times 63.1\nAnswer: -32307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -100*j**3 + 1 - 20*j**3 + 14884*j**2 - 14878*j**2 as t*j**2 + a*j + g + m*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -183*w**3 + 38*w - 38*w.\nAnswer: -183*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be 13\/(-117) + (4\/(-36))\/(8\/(-44)). Which is the closest to w? (a) -3 (b) 2\/9 (c) 0.9 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -594, -1328, -2046, -2742, -3410, -4044, -4638?\nAnswer: -5186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = -5*t + 14, -234*o - 5 = -2*t - 235*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 PM and 4:10 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 20050 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 489 - 494.8. Let o = -17.9 + 9. Let y = o - h. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/(-15) + (-15330226)\/(-170) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -9*r**2 - 2*r - 3. Let j(y) = y**3 + 19*y**2 + 5*y + 6. Let f(c) = 3*j(c) + 7*p(c). Is 9 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 7 - 3. Let p(s) = -3*s**3 + 3*s**2 + 3*s - 3. Let i(d) = 4*d**3 - 4*d**2 - 4*d + 4. Let x(h) = a*i(h) + 6*p(h). What is c in x(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2790, 5551, 8252, 10863, 13354, 15695, 17856, 19807?\n\"Answer: -5*i**3 + 2796*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2795 is divided by 291?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(-2) - (-15)\/2. Let k = v + -5. Suppose -5*t + 9*t = 20, -4*d + 17 = t. What is the least common multiple of k and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - 3*f. Let v(y) = 24*y**3 + 2*y**2 - 2*y + 1. Let o be v(1). Suppose f = -4*n - 1 + o. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1384 - 1372. Solve -57 + 81 = w*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 80*n**5 + 3*n**3 - 79*n**2 - 6*n + 3. Let y(c) = -c**5 + c**3 - 2*c + 1. Let w(f) = -x(f) + 3*y(f). Find the third derivative of w(b) wrt b.\nAnswer: -4980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 801 is divided by (-38940)\/(-605) - (-8)\/(-22)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1984 + 1987)*(-56)\/(-90)*(-10)\/4\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.92 - -0.12. Let f = p - -3. Which is the second biggest value? (a) f (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 - 213.0147524.\nAnswer: -212.9147524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3*g + 3)*(-4*g - 8*g + g)*(-2 + 2 - 2*g) in the form k + p*g**3 + q*g + z*g**2 and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 162351*z**4 + 68229*z**2.\nAnswer: 3896424*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of q**2 - 74*q**3 + 1049 - 35*q - 1049 wrt q?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -804516939*b**3 - 78*b**2 - 1187255*b.\nAnswer: -4827101634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 251126 is divided by 233.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 - 4. Let a = -22 - h. Calculate the smallest common multiple of (a - -4)*1\/(-3 - -1) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 2*p = -3*p - 11, -3*p + 11 = 2*o. Let b(c) = -5*c + 1 + 3*c + o*c. Suppose l - 2 = 1. Give b(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (5 - 2) + 48 + 1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00086414 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -4, 5, 280, 14, -16 in descending order.\nAnswer: 280, 14, 5, -4, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3, -9, -25, -39, -45, -37, -9, 45?\n\"Answer: f**3 - 8*f**2 + 5*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 7*v + 2. Let s be (10\/65 - 0) + (-432)\/104. Let m(u) = 6*u + 2. Give s*m(t) + 3*z(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + y - 43 = -5*f, 5*y + 110 = 4*f. Let d = -3 - y. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14 - -18. Suppose 0 = 3*q - s*q + 44. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 69 + -65. Solve -4*z + 4*t - 4 - 8 = 0, -i*z - 3*t - 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 3*a - 1. Let z be r(1). Solve -l = -2*t - 7, 4*l - 25 = z*t + 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41469 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 9160 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1461208434 to 3 dps.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -5. Let w = -4 + f. Let b(r) = -2*r - 7. Give b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((((sqrt(209) + sqrt(209)*-2)\/sqrt(11) - sqrt(19)) + sqrt(304)*-5)**2 - (1*sqrt(19) + 1 - sqrt(684)*-5)**2).\nAnswer: -18128 - 124*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 80 and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + 5ac?\nAnswer: 5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**3\/6 + 9256*i**2\/3 + 5712803*i\/2 + 1142067.\nAnswer: (i + 1851)**2*(5*i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 26 + -72. Let l = m + 18. Is -29 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 5*r - 194 + 68, 3*f + 34 = r. Let v = -11 - -23. Calculate the least common multiple of (4 + 24\/(-9))*v and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - (8 - 7)) + (13 - 0) + -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - 0\/(6 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the first derivative of -k**3\/3 + 40*k + 9. What are the prime factors of n(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -361\/5 + 72. Let v = 56 - 30. Let s be v\/30 - 2\/10. Which is the second biggest value? (a) s (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4095, -4097, -4099, -4101, -4103?\nAnswer: -4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of -2\/75*j**5 + 0*j + 31*j**2 + 0*j**4 + 0*j**3 + 0 + 1\/210*j**8 - 17\/525*j**7 + 1\/15*j**6. Factor a(k).\nAnswer: 2*k**2*(k - 2)**2*(4*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - -1*sqrt(252))**2 + -2 + -5*2*sqrt(252) + (-3*(sqrt(252) + 0 + -1 + (sqrt(252) + 1)*5))**2)*2.\nAnswer: 5064*sqrt(7) + 165596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1000 + -12121002?\nAnswer: -12120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -21, -3.2 in descending order.\nAnswer: -3.2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -477261774.99999993 + 477261769. Let n = 3 + 3. Let q = i + n. Round q to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 45\/1001 and 125\/26488?\nAnswer: 344344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + 5. Suppose 12 = 5*z - 3. Suppose -g = -z*s - 0*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 138 (b) -6 (c) 1\/5 (d) -0.5 (e) 95 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + (1*sqrt(567) - sqrt(567)*3))*6)**2.\nAnswer: -5184*sqrt(7) + 82224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10028\/(-2346) - ((-12)\/9 - 3)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1 (b) -0.4 (c) -0.03 (d) -2\/17 (e) -2\/3 (f) -4 (g) -0.151\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 27837*h - 60854.\nAnswer: 27837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 886.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -2*c - 280. Let t be (1 + 7\/(-2))*224\/c. Solve 0 = -q - 0*q + 3*s - 6, 0 = -3*q + t*s - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + l + 14 = 4*l, 4*l - 25 = -5*m. Put 3, 2, m, -5 in descending order.\nAnswer: 3, 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -197290788, -197290789, -197290790?\nAnswer: -197290791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 986815 = 8*i - 3*i, 2*d + 493406 = 2*i. Round d to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/2 in 557, -1\/9, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve y - s + 5 = 0, 2*y + 0*s - 4*s + 14 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1242*f - 2144*f - 22 - 2538*f + 22 to the form a + l*f and give l.\nAnswer: -3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 79 + -71. Let w be m\/(-12)*(3 + 0\/(-1)). Let l(x) = -x - 6. Let g be l(-9). Sort w, -4, -5, g in decreasing order.\nAnswer: g, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k + 32 = 9*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4458 + 4458 + 239*l)*(2 + 3 - 3)*(5 - 3 + 2).\nAnswer: 1912*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -15 - -31419862137.\nAnswer: 31419862122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 34818706, 34818703, 34818700, 34818697?\nAnswer: 34818694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -11640*g**2. Let z(q) = -19821*q**2. Calculate j(z(o)).\nAnswer: -4573030557240*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**4 - 232*b**2 - 17*b**4 + 228*b**2 wrt b?\nAnswer: -360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 4*x**2 + 57*x - 31. Let m(v) = -3*v**2 - 51*v + 30. Let p(y) = -5*m(y) - 4*r(y). What is p(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 215 + -194. Suppose -48 = -4*a - 4*d, 0*d + 1 = d. Calculate the remainder when x is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-13)\/((-273)\/3136) + 2\/3.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**2 + 93964258*a + 2207320445372641.\nAnswer: (a + 46982129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f - 15. Let r be l(15). Let z be 6\/(-18)*(0 - r). Solve 4*p + p - i - 28 = z, -4*p + 32 = -4*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -88.1262?\nAnswer: 440.631","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4de77 - 19?\nAnswer: 4de5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.2 + -2. What is the second smallest value in f, -2\/5, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -120026 (base 13) in base 16?\nAnswer: -6899f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 16 = 4*w, 4*u = 4*w + u + 15. Let t be 1\/((-3)\/w + 0). What is the common denominator of 69*t\/8 - 3 and -85\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.054 and 0.272.\nAnswer: 0.014688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28339 + 71797 = 11*k + 9639. Is 195 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -346*w**2\/9 + 2*w\/3.\nAnswer: -2*w*(173*w - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-5)\/10)\/(2\/(-8)). Suppose 3 = -m*c + 3*c. Let x(a) = -2 - a**2 + 2*a - 1 + 0*a**2. What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 59246777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of 462*u**5\/5 + u**2 - 67*u + 204. What is the second derivative of c(k) wrt k?\nAnswer: 5544*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-105)\/(-14) + -9 - 162\/(-4). Which is the nearest to -0.2? (a) 5 (b) 2 (c) p (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 80*k + 52*k - 4 - 172*k + 2 + 0. Let f(g) = 17*g. Calculate f(t(y)).\nAnswer: -680*y - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 31387 divided by 736\nAnswer: 31387\/736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rxx when three letters picked without replacement from xrrxrxr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -131 (base 5) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 521 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 136372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence slg when three letters picked without replacement from ssjsllgs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:10 AM and 4:52 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, s: 1, v: 2, n: 5}. What is prob of picking 1 s and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20977 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*f + 49 = -18 + 3 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 106 in -0.3, -4.7, -5, 1, 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -42.3059176 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 19932310759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 186, 369, 552?\n\"Answer: 183*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1322.3 - 1322. Let f = 0.1 - 0.2. What is the closest to -1 in f, g, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 4 (b) -3 (c) 0.5 (d) -1\/21 (e) -4265\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -44.032 - -44. Let h = 15.032 + p. Let k = h + -14.5. Sort -0.1, 0.4, k in descending order.\nAnswer: k, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 147 = 2*a. Suppose 115 = 5*h - 2*w, -4*h = 5*w - a - 10. Calculate the remainder when 60 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11044 and 2554996268.\nAnswer: 11044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7266 and 797184?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 39 - (0 - (-9 + 30))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**9*l\/(l\/l**(-4)))\/(l**(1\/5)*l\/l**(3\/4)*l))**(-17\/2) assuming l is positive.\nAnswer: l**(-1207\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10 - -8) + 0 + -4. Let k(d) = d**2 + 5*d - 2. Give k(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34326.\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1122*d = 2*c + 1118*d - 78, -2*c - 5*d - 7 = -4*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from loljwwuc. What is prob of sequence wl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (2 - 6 - -5 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5132704 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 5871 divided by 19?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 213\/2 + -107. Let o = 12 + -17. Which is the nearest to 1\/3? (a) -0.1 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*s**3 + 0 + 0.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 127143473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**1*k\/(k\/k**(10\/7)) assuming k is positive.\nAnswer: k**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44651, 90189, 135729, 181271?\nAnswer: 226815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 2 + 2)*(-127*q - 13*q**2 + 127*q) + (116*q - 5493 + 5493)*(0 + 2*q + 0) to the form j*q + s + b*q**2 and give b.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (y - y - y**2)*(3*y**3 + 0*y**3 - y**3) + (0 + 6 - 4)*(3349844 + 6640*y**5 - 3349844).\nAnswer: 13278*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.192872 and -2?\nAnswer: -0.385744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the second derivative of -10*m - 26\/5*m**5 - 3*m**2 - 5\/12*m**4 + 0*m**3 + 3. Find the third derivative of c(a) wrt a.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 7*r - 150. Let u = r - 25. Suppose -t + 36 = -4*y, -u*t - 6*y = -3*y - 295. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 759?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -17*s**3 - 2*s**2 + 23*s - 144. What is j(4)?\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4582 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be (20\/(-15))\/(((-4)\/(-213))\/(-2)). What is k in 22*k**5 + 472*k + 2230*k**3 + l*k**4 + 6*k**5 - 96 - 468*k**2 - 2298*k**3 - 10*k**4 = 0?\nAnswer: -4, -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 53 + -72. Let b = -34.5 - a. Let o = -15 - b. What is the second smallest value in -0.2, -3, 4, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31339 is divided by 591.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -5*g + 20, 5*c = 8*c - g - 47. Let k be 18*(-60)\/(-8)*(3 + -2). Suppose k = j - 0*j. What is the highest common factor of c and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(7\/8)*i**(-2\/11))**(-2\/5) assuming i is positive.\nAnswer: i**(-61\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.04 + 0.04. Let d(j) = -j**3 - 8*j**2 + 50*j + 301. Let x be d(-10). Which is the biggest value? (a) x (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q = -2*q - 10. Differentiate 4 + 10*c**q - 3 - 11*c**2 wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -939841*20\nAnswer: -18796820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2\/19 - 198*z\/19.\nAnswer: 2*z*(z - 99)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes before 8:30 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 58 + -51. Let z(v) = 35*v**3 + 13. Let n(j) = 52*j**3 + 19. Let c(p) = t*z(p) - 5*n(p). Find the first derivative of c(h) wrt h.\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 732 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 29 (b) 4 (c) 0.04 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 48 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jhh when three letters picked without replacement from {j: 4, a: 1, v: 2, m: 2, h: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (307 - 253 - 329 - 1049)*((2*d - 6*d - 2*d)*(-4 + 4 + 1) - 5*d - d + 4*d).\nAnswer: 10592*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -4*r**5 + 6380*r**4 + 1478912*r**3 - 4071379600*r**2 + 16267567616*r - 16261550080 = 0. Calculate r.\nAnswer: -745, 2, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be -8 + 4 + 4 - 3. Let c(x) = -1. Let w(d) = 11*d**2 + 13*d + 16. Let q(y) = i*c(y) - w(y). Let r(z) = -5*z**2 - 6*z - 6. Give -6*q(b) + 13*r(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61*d**3 - 10*d**3 - 25*d**3 + 1188 - 1188.\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 64 and 440.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1806192 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(176) + -2 + sqrt(176) + -5*(-3*sqrt(11))**2.\nAnswer: -497 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 36*i + 1. Let n be v(1). Suppose 23 = 3*s - n. Calculate the common denominator of 7\/10 and (-12)\/s*(-1)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2\/55 - -49\/165. Which is the nearest to -2\/5? (a) 1\/4 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 74567093*f**5 - f**4 + 27836*f**2 + 2*f + 293.\nAnswer: 4474025580*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-22*(-86)\/(-946))\/(-67)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -2*v. Let h(c) = -4*c**2 + 38. Determine h(d(p)).\nAnswer: -16*p**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-10 - (-16268)\/1617)*663*(-2)\/(-16). Is n smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110110000 (base 2) in base 10?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 1\/50809?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 342 and 192582.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 PM and 7:45 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*h, h - 17 = -3*k - k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + 6)*(4 - (-61)\/(-15))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 200 and 371200.\nAnswer: 371200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 23590 divided by -7\nAnswer: -3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 3\/7, -6, -3\/5, -532, -0.4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 571344 divided by 23806\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -354422 and 462?\nAnswer: 354884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2617, -2824, -3031, -3238?\n\"Answer: -207*m - 2410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 133 minus 7885.6?\nAnswer: -7752.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*s + 192 = -5*s. What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r - 11. Determine d(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ohohmohmmho. Give prob of sequence oh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42 and 87.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = d. Let i be -3 - (1 - d - 25). Solve 4*c - 5 = -i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + l = 42, 3*l + l = v. Let b(j) = j + 14. Let a be b(-10). Sort a, 0, v.\nAnswer: 0, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2*f - 1 + 1)*(10 + 5 + 6)*(-3*f + 3*f - 3*f).\nAnswer: -126*f**2 + 315*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -7*b + 20. Let d(l) = 2*l + 1. Determine -c(v) - d(v).\nAnswer: 5*v - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10 in 2\/7, 0.2, -0.5, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*q**2 + 3*q**3 + 4*q**2)*(-9*q**2 - 5*q - 11*q**2 + 2*q) + (2*q**3 - 2*q**3 + 2*q**4)*(q + q + q).\nAnswer: -54*q**5 - 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 13.61365687 rounded to 3 dps?\nAnswer: 13.614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1573) + -2 + sqrt(1573) + -4.\nAnswer: -6 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of -g**3 + g**2\/2 - g. Suppose 47*h - 68 = 40 - 14. Let q(t) = t - 1. What is h*q(d) + u(d)?\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -1 - 9. Solve h*r = 11 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1217443 (base 8) to base 2.\nAnswer: 1010001111100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -149242.66 minus 574?\nAnswer: -149816.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 437 - 51.55. Round u to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 12 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (54\/(-21))\/((-4)\/9) and 20\/90 + -1 + (-1254)\/(-189).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*b + 2*b - 3*b - 7*b**2 - 15*b**2.\nAnswer: -22*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3463 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7010?\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.82 + 0.88. Let c = 22940.4 - 22947. Let k = c + p. Are k and -12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105405367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 8.431637 + 3.242015.\nAnswer: 11.673652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -2*x - 53 - 55, 80 = -5*t + 5*x. Let y = 721 - 722. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -107342*i*s**4 - 20*i*s**3 - 7372*i*s + 101*s**2 + s wrt s?\nAnswer: -2576208*i*s - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 35\/6 and 61\/6233985.\nAnswer: 12467970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -10 divided by -14\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 8 + 17 = 0. Suppose -391*k - 988 = 185. Which is the fourth biggest value? (a) 1 (b) g (c) k (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 - (26 + -26) - (75 - 10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*b + d, b = -b + 2*d + 18. Let a(z) = 2*z**3 - 2*z. Suppose 2*i - 6*i + 8 = 0. What is the remainder when a(i) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/3)\/u)**(2\/71)*(u**(-2\/27)*u)**(-42) assuming u is positive.\nAnswer: u**(-24856\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be 400\/(-105)*(-2)\/(-10). Let g = -2\/21 - t. Find o such that -g*o**3 - 4\/3*o**2 + 0 - 2\/3*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 269 divide 273081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 390.4 and 3297.89.\nAnswer: 3688.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 - 36*m**2 + 52*m + 152. What is d(34)?\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 5 = -6*q. Suppose -2*k + 5*n = -7*k + 60, -2*n = -4*k + 72. Sort 2, 3, q, k.\nAnswer: q, 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 284681612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2325658485?\nAnswer: 3, 5, 79, 1962581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-72)\/(-108)*(-15)\/(-25).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-18)\/(-7) + -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5359520 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 403 = -18*j - 2567. Let m = 168 + j. Solve m*l - 14 = 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24918 bigger than 22562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, -3, 3, -5, 0, -297 in descending order.\nAnswer: 3, 0, -3, -5, -32, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -461 + 94?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*t**2 + 0*t + 2*t**3 + 9*t + 19*t**4 + 0*t**3 - 6*t - 4*t to j*t**4 + i*t + u*t**3 + s + l*t**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1447594 - -1447587.799846. Let n = i + 6.2. What is n rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 793308 times 198\nAnswer: 157074984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -61 - -63. Find the third derivative of 12*l**a + 0*l**5 - 2*l**5 + 7*l**5 wrt l.\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2566 (base 11) to base 13.\nAnswer: 169b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 6\/11, 0, 3, -62, 4 in increasing order.\nAnswer: -62, -0.4, 0, 6\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -5*i**3 - 5*i**2 + 10*i + 5. Let a(n) = -n**3 + n. Let w(t) = -4*a(t) + z(t). Let j = -10 + 4. List the prime factors of w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.048 + 0.04800092. Round a to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20 + -44 - -3) + (2 - -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 19107899 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 108912667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:27 AM and 4:19 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 39 = 26. Let u(h) = -h**3 - 14*h**2 - 15*h + 3. What is the remainder when u(s) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 36 + 0*q - 28 - 18 + q. Let r be 15*(2 + (-12)\/10). What is the units digit of v(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**4 - 68*h**2 + 68*h**2)*((-1 - 3 + 3)*(-1 - 3 + 5) - 3 + 5 - 1 - 2 + 1 + 4)*(3*h + 3*h - 5*h)*(-3 + 0 + 4).\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -594 - -13664\/23. Put -10, r, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 48 - 36. Put -4, -2, d in decreasing order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + h - 8 = 0, -5*z = -5*h - 47 - 3. Suppose 8*d - 10 = z*d - 2*t, 2*t = 5*d - 18. Solve 5*n + 1 = -4, 3*r - d*n = 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71211599 is divided by 2096?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8181 divided by 2727.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let 2*n**2\/7 - 218*n\/7 - 2124\/7 = 0. What is n?\nAnswer: -9, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -51 - -53. Solve 4*b + 16 = -m*t - 0*b, 5*b + 17 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 432, 342, 0, 9, 3 in descending order.\nAnswer: 432, 342, 9, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qg when two letters picked without replacement from {g: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 361 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the first derivative of -w**7\/7 - 5*w**4\/3 + w**2\/2 - 52. Let c(h) be the second derivative of f(h). What is the second derivative of c(k) wrt k?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -2*m**3 - 7*m**2 + 461*m - 42. What is c(-17)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 310 + -195. Let y = v + -109. Solve -y + 2 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87131 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 - 25*z**2 + 22*z - 9. Is s(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o**2 + 9*o + 98. Let d be a(13). Sort 4, 5, -3, d in decreasing order.\nAnswer: 5, 4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 833 (base 15) to base 16.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, 4, 38333?\nAnswer: 38333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8452 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhdhsdhddsds. What is prob of picking 4 h?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 129047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 510 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*d**4 - 2*d - 2*d + 8*d**5 - 4*d**4 wrt d.\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -56, -181, -374, -623, -916, -1241, -1586?\nAnswer: -1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/196 and 81\/16?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 13711659.9 rounded to the nearest 10000?\nAnswer: 13710000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -199, -123, -3, 155, 345?\n\"Answer: -l**3 + 28*l**2 - l - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 135*o - 12757 + 12757 - 3251*o**2 wrt o?\nAnswer: -6502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 101*o**2 + 979*o**2 + 155*o**2.\nAnswer: 1235*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -80*-26.6\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 4*v + 12 = 2*v, -5*a = -5*v - 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(0 + 4 + sqrt(1300) + sqrt(1300) + sqrt(1300)) - (sqrt(1300) + 2 + 2 + 4))**2 + 4.\nAnswer: 3360*sqrt(13) + 254948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 35 - 8. Let n(j) = -10*j - 1. Let v be n(2). What is the remainder when z is divided by v*3\/(27\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9828521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/233 in -5, -2\/17, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.72 + -0.62. Which is the nearest to 0? (a) -0.4 (b) v (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b + 40 - 140. Solve -8 = -b*t + 28*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -158841 divided by 17649.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4 - (10 + -11)) + 3 + 4249. What is the highest common factor of i and 693?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1020558 and 1410.\nAnswer: 5102790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 - 421710?\nAnswer: -421714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000234983756 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) + (4*sqrt(7)*-1)**2 - (sqrt(63) + (sqrt(63) - sqrt(126)\/sqrt(2)))\/sqrt(9) - (sqrt(112) + ((-1 + sqrt(112))**2 - sqrt(112)) + -3).\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 590178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 199063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 221400200 (base 6) to base 9.\nAnswer: 7461680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -2*x - 5. Let q(o) = 1. Let f(t) = -t + 9. Let u be f(12). Let l be 3*(90\/(-27) - (-3 - 0)). What is l*m(y) + u*q(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9242441 + 5432441. What is y rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4*(-30)\/(-24) + -1. Let y(u) = u**3 + 6*u**2 - 3*u - 1. Determine y(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17263927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -8*k**3. Let b be o(-1). Suppose -z - 2 = 0, -2*u + b*z - 3*z + 44 = 0. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(84) - (-4*-2*sqrt(84) + sqrt(84)) - sqrt(84)) + sqrt(84) + sqrt(84))*4)\/(sqrt(192)*3*1).\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 13321100*b**2 - 12180099 with respect to b.\nAnswer: 26642200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9\/77557 and 107\/775570.\nAnswer: 775570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 87, -1, 5, 0.03 in ascending order.\nAnswer: -1, 0.03, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 3*n**3 + 1 + 0 + n - 2*n**3 - 10*n**2. Let y be j(10). Let u = -5 + 7. Solve -2*v = z - 7*v - y, -u*z + 3*v = -1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.8? (a) 3\/2 (b) 5\/4 (c) 42\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -136441\/5 - -27299. Suppose 18\/5*f**2 + 54\/5 - 2\/5*f**3 - z*f = 0. Calculate f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x - 2*x - 3*x)*(109 + 20443*x - 59 - 50).\nAnswer: -40886*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 22 = -l - 73, -4*l - 65 = t. Let i be 6*(-6)\/t*5. Suppose i*c + 0*c - 52 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(5\/3)*l)\/l)\/l**(-2\/9))\/((l\/(l**12*l))\/((l\/(l**(6\/5)\/l))\/l)) assuming l is positive.\nAnswer: l**(616\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (11 + (2 - 4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 2*t = 47 + 5, -3*g - 3*t + 153 = 0. Let h be g*(-2)\/(-6)*-1165*24. What is h rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 2*m - 4 = 0, m + 8 = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 3\/5, -0.3, 71?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 7475.6 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*w**5 - 8*w**2 + 8*w**2 + (-5*w**2 + w**2 + 3*w**2)*(-15*w - w**3 + 15*w).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 4*r + 20 = 0, 0*r - 1 = 2*t - 3*r. Solve t*w + 3 = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5617.083 - 0.083. Let b = 5664.89 - a. Let n = b + -48. What is n rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79*j + 134 = 2*l + 83*j, 0 = -5*j + 25. Let y(t) = -65*t**3 + 1. Let x be y(-1). Let p = x - l. What is the greatest common factor of p and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 + 22. Is (t\/(-10))\/((-2)\/125) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -129*n + 120*n = -540. Suppose -21*d + 41*d - n = 0. Let p(s) = -5 + 0*s - s - 4*s. Let a(x) = 6*x + 6. What is d*a(h) + 4*p(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from daadaaa. Give prob of sequence aad.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**17)**(15\/8))**(-5) assuming k is positive.\nAnswer: k**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 149891 is divided by 12781?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (124 - -10)\/(0 + 0 - -1). Suppose 2*o - 16 = -g - 82, 2*g + 3*o = -v. Find the common denominator of -68\/9 and (46\/20)\/((-196)\/g).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*d + 10*d = -80. Let o = d + 26. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + -1 - (61 - 54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 5*-0.06435245\nAnswer: -0.32176225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 430245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 26aa6 (base 11) to base 13.\nAnswer: 1474a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -584, -590, -610, -644, -692, -754, -830?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*k + 62356 + 1196012 = -198400. List the prime factors of k.\nAnswer: 2, 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 1527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.4 - -4.4. Let v = 2.9 - k. Let w = -1 + 1.1. Put w, v, -2\/13, 0 in increasing order.\nAnswer: v, -2\/13, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + 27 = 166*w - 161*w, -4*w + 15 = 5*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*g**2 + 0 + 0)*(g + g - 3*g) + (2*g + 3*g - 2*g)*(-8*g**2 - 11 + 11) + 4*g - 2*g**3 - 4*g to the form p + i*g + a*g**2 + b*g**3 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2656 is divided by 205?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 4*u - 287, -2*u = -5*k - 3*u + 467. Suppose -k = -5*g + 2*g. Let p = g + -19. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -713 (b) 9\/5 (c) -847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 98918.01ml to litres.\nAnswer: 98.91801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1769707*n**4 + 49*n**2 - n - 1664 wrt n.\nAnswer: -42472968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18003 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 19009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 7) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 2*l = 4*d - 14, -l - 17 = -4*d. Suppose 2*i - 78 = -3*r + 5, -d*i - 8 = 0. Let o = r - -152. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, 206, -0.05?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -17476*r = 9023*r - 715473 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16*0.5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and 59\/959925 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -533*a + 528*a - 5*g - 220, -2*a - 78 = 7*g for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 8 = -4*j, 2*g + 3*j = 3 + 3. Let i = g + 0. Suppose i = -d + 9 + 10. What is d rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/720 and -143\/11160.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 3:48 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2043 and -0.4?\nAnswer: -817.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 + 18*x - 6. Let p = 2007 + -1956. What is the remainder when p is divided by l(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ctzctccttctttc. Give prob of picking 1 c and 1 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + p + 47265 = 47245, d + 4*p = -17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 5 - 7 = 0. Let b(k) = -k**3 - 11*k**2 + 12*k - 14. Let l be b(y). Let v = -3 - l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10.83941 days in nanoseconds?\nAnswer: 936525024000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20161 and 1411270.\nAnswer: 1411270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*b + 15314 = -3*b. Let f = b - -402. Let h = -4 - -2. Put f, h, 1, -5 in ascending order.\nAnswer: -5, h, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16079*h*l - 1142798*h - 78*l with respect to l.\nAnswer: -16079*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -57 + 7*t**2 + 27 + 30.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -274, -1345, -3640, -7579, -13582, -22069, -33460?\nAnswer: -48175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((3 + 0)*1)\/(5 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/8249 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 269945 and 1035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -2 - ((1 - -10) + (-76 - (15 - 88)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of j**3\/3 - j**2 - 7*j - 1. Let b(o) = -79*o + 2765. Let z be b(35). Let y be l(z). Let d(h) = -h**2 - 5*h + 6. Calculate d(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -117 - 0?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 5) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h = -16*h + 50. Let d be ((-1)\/22)\/((-25)\/h). Sort -6, d, -3\/2, 3\/8.\nAnswer: -6, -3\/2, d, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50041.55 millilitres in litres?\nAnswer: 50.04155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h**2*s**2 + 3*h**2 - 151*h*s**2 + 6*h*s*y - 920*h*y + 2*h + y with respect to s.\nAnswer: 2*h**2*s - 302*h*s + 6*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 11 + 26 = 3*v, 2*t - 4*v - 4 = 0. Suppose -105 = t*h + 35. Which is smaller: -33 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0.1 (b) -1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 460884938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-46*b**3 - 73*b**3 + 28*b**3)*(-4 - 1 + 3 + b) to the form a*b + i + h*b**2 + r*b**3 + d*b**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 4*t + 68. Let w be u(-7). Calculate the greatest common divisor of 110 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 - 0)\/(-4 - -3). Suppose -l = -4, 3*y - 140 = -h*y - 2*l. Let t(k) = 3*k**2 + 77*k - 2. What is the remainder when y is divided by t(-26)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 779 and 17507?\nAnswer: 332633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1568499 (base 10) in base 13?\nAnswer: 42bc0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 2 = -4*s, 0*v = 4*v - 8. Let h(p) = p + 132. Let u be h(s). Let x be ((-8)\/5)\/((-8)\/60). What is the highest common factor of x and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 1 - 2)*(-2*r**3 - r**3 + 4*r**3)*(-51 + 403 - 60).\nAnswer: 1168*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 663 = -1412*i - 570*i - 1319. Let o be -1 + (20 - 2) + -1. Suppose -k - o = 2*f, f - 3*k = -4*f - 18. Sort -2, i, f in descending order.\nAnswer: i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11*(-23)\/(-1265))\/(4\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 547467 divided by -3?\nAnswer: -182489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 960 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*w**5 - 56*w**5 - 72*w**5 + (5*w - 10*w - 6*w)*(-w**4 + w**4 - 4*w**4).\nAnswer: -95*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2274*l + 326 = 2*i + 2264*l, -175 = 5*i + 5*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 192464 is divided by 2916.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 2*f - 3. Let k be g(4). Suppose 5*a = -k*r, 10 = a - r - 3*r. Suppose a*v - 34 = 42. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d - 143 = -22*d. Let s be (d - 11)\/((-2)\/(-22)). Calculate the greatest common divisor of 99 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -303102202133 (base 4) to base 16.\nAnswer: -cd289f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5b (base 13) to base 6\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -547 = -296*s + 248*s + 125 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.25 - 513761807?\nAnswer: -513761806.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 651533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be 7\/((-77)\/(-2)) + 34590\/(-33). Let g = -11501\/11 - z. Find the common denominator of 3\/(-9) - 281\/48 and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 116 = 5*l, 5*l - 2*l + 549 = 4*w. What are the prime factors of w?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000405 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from zzplppz?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 38 + 30. Find the third derivative of 89*f**2 + 16*f**3 - 2*f**2 - 5*f**4 + 3*f**x wrt f.\nAnswer: -48*f + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -100101 (base 2) to base 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(68) - sqrt(17)) + 0.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (2 + -6 + 10) - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7697550\/17 or 452798?\nAnswer: 452798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwbbwbgggbwbwwglb. What is prob of picking 2 w?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 12501\/11290 or 0?\nAnswer: 12501\/11290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -5*x**3 + 7*x**2 + 5*x - 3. Let h(m) = 60*m**3 - 85*m**2 - 60*m + 35. Let l(u) = 2*h(u) + 25*y(u). What is o in l(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = t - 19, 3 = -5*f + 4*t + 11. Find p such that p**5 + p**5 + p**3 - 2*p - 4*p**f - p**3 + 4*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2103340422 - -132?\nAnswer: -2103340240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 7*a**2 - a + 7. Let z(s) = -4*s**2 - 13*s - 4. Let h = 812 - 819. Let r(l) = 4*l**2 + 11*l + 4. Let c(b) = h*r(b) - 6*z(b). Give -5*c(n) - 3*m(n).\nAnswer: -n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 692 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 590*t + 15. Let q(f) = -f**2 - 11*f - 33. Let z be q(-4). Let p be r(z). Let l = p - -6140. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - 2 - 7. Let f = c - -6. Let b = -12 - -15. Solve -10 = -x - b*k, 5*x + k - 25 + f = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k - 10, -2*q - 2*k = 3*k + 6. Let h be 16\/2 - (0\/(-4) + -2). Calculate the greatest common divisor of h and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -4197\nAnswer: -1\/4197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 9*n + 2*n**4 - 69*n**3 + 32*n**3 + 34*n**3 - 38*n as u*n**4 + w*n**3 + o*n**2 + t*n + s and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 48 (base 12) in base 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1343964 divided by -55\nAnswer: -1343964\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1\/26992 - 285335\/242928. Calculate the common denominator of x and -107\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*1*(-4)\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 2159995 = -5*t, 0 = 5*t + 2 + 3. Suppose m - s = -2*m. Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 1, -2\/11, 0.0741, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 2617, 5, 2 in descending order.\nAnswer: 2617, 31, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 8684800 rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 563, 471, 279, -43, -525?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(140)*1)\/(sqrt(35)\/(-5*sqrt(7)*-2)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 4*l + 52 = 7*f, -4*f + l = -55. Suppose 8 - 73 = -5*n. Let h = f - n. What is the lowest common multiple of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2129.2463 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vqwt when four letters picked without replacement from {n: 1, w: 1, v: 5, q: 9, t: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -36\/203 + -28\/29. Let r = -15\/14 - d. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 4*a - 5*x - 1516, -3*a + 1123 = 4*x. Suppose -a = -7*k + 6*k. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -227 - -227.308. Let p = -0.608 + q. Let u = 2 + -6. What is the third biggest value in p, 3\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*m**3 - 4*m**3 - 4*m**2 + 2*m**2 + m**3 - 5*m to v*m**2 + r*m + a + j*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be 11\/(-4) - (-4)\/(-16). Let s = -4 - -9. Put s, y, -4 in ascending order.\nAnswer: -4, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-9)\/h*h)\/h**(1\/11)*h**(-4)\/(h*h**(-7\/3)) assuming h is positive.\nAnswer: h**(-355\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -20 and -77\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2cb53300 + 0?\nAnswer: -2cb53300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 23 = 7. Suppose 3*g - 13*g = -3*g. What is the third derivative of g*k**6 + 7*k**2 - 2*k**6 - 23*k**2 + o*k**6 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of -7*m**5\/20 + m**4\/12 - m**3\/3 - 7*m**2\/2 - 246*m. Determine q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2 (b) 2\/3 (c) 7.5 (d) 3.373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -15772034 times 3?\nAnswer: -47316102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 100705 is divided by 406.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 324 divide 689643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2, -3, 9 in increasing order.\nAnswer: -3, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1930 and 7522368?\nAnswer: 37611840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -3. Let z = 7.9984 + h. Round z to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -852*j - 1094*j + 1941*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2352011745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45 - 13. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38639777 to the power of 1\/2, to the nearest integer?\nAnswer: 6216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1191 - -1260 - (-3 + 135).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 9 (base 10) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -11*d**2. Let r(x) = -35026*x. Calculate y(r(s)).\nAnswer: -13495027436*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -2 + 0 + 0 + 7 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -3*f - 26. What is the remainder when 12 is divided by -1 + (1 - 1*f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -11, 29, 171, 463, 953, 1689, 2719, 4091?\n\"Answer: 8*w**3 + 3*w**2 - 25*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -24973, -29213, -33455, -37699?\n\"Answer: -z**2 - 4237*z - 20735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/11 in -5, 2, -0.1, -2287, 34?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-56)\/24 + 3\/(-513)*-381?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -1. Let t(i) = 5*i**2 - 8*i + 3. Let y(v) = 4*v**2 - 7*v + 3. Let z(s) = -5*t(s) + 6*y(s). Calculate z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8*(-3)\/(-48) + 6\/4. Suppose -k - 10901 = -l*k + 2*j, 5*k + j = 54516. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -3*n + 26. Let r(o) = o + 1. What is -5*r(a) - v(a)?\nAnswer: -2*a - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2479 - 2486. What is the biggest value in 13, 3\/8, c?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6548229918 to the power of 1\/2, to the nearest integer?\nAnswer: 80921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-276)\/120)\/23*30\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + 70*f - 1195. Determine q(31).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 2 = -2*o, v + 96 - 64 + 64 = 13*o - 53 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0547 minus -0.5?\nAnswer: 0.5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 108 is divided by 51.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2499*t**3 + 6*t**2 + 2464*t**3 - t**2.\nAnswer: -35*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 149 + -153. Which is the closest to -0.05? (a) -5 (b) -2\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wpopwipwwoooww. Give prob of picking 1 o and 1 p.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 748323, 1496647, 2244971?\nAnswer: 2993295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the third derivative of 0*v - 1\/60*v**5 + 0*v**4 - 37*v**2 + 0*v**3 + 0. Let h(a) = -a**2 - 6*a**2 + 5*a**2. Determine l(h(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be (35\/90)\/(28\/12). Sort 0.3, d, -78 in ascending order.\nAnswer: -78, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 202094477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 41730 or 248\/5?\nAnswer: 41730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 2*d - 70 - 177 = 0, 3*d + 487 = 2*f. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -21, -29, -27, -9, 31, 99, 201, 343?\n\"Answer: g**3 - g**2 - 12*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 2*s + 4, 3*z - 2*s = 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.3 (c) -1\/2 (d) 4\/9 (e) 299622\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1011011101101011110000 (base 2) to base 6\nAnswer: -144224452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p + 17. Suppose 3*g + 48 = -5*t, 2*g + 0*g = 8. Let y be z(t). Suppose -y*n = j - 59, -2*j = 3*n + j - 45. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 2*k + 5. What is the remainder when (-29)\/2*(-2 + 0) is divided by h(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5405 - -10022. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7556 + 64*o**3 - 12549 + 200*o**3 - 266*o**3 as w*o**3 + r*o**2 + i + m*o and give i.\nAnswer: -20105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify c*c**6*c**(7\/5)\/c assuming c is positive.\nAnswer: c**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -3*v**3 - 27*v**2 - 24*v = 0. What is v?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 - 7. Let b be ((-18)\/d)\/(3\/18). Let c be ((-6)\/b)\/(4\/6). Is c greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3\/5 and 71\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/12)*d\/d**(-9))\/((d\/(d*d*d*d**2*d)*d)\/d*d**1) assuming d is positive.\nAnswer: d**(169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of p**4\/18 - 26*p**3\/27 + 23*p**2\/9 - 22*p\/9 - 140. Factor k(l).\nAnswer: 2*(l - 11)*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 0 + (sqrt(162) - (3*(sqrt(162)*1 + sqrt(162)))**2) + 3*((sqrt(162) - sqrt(162)*-1)**2 + sqrt(162)) + 5 + -1)*4.\nAnswer: -15516 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0 and 640989621.475825?\nAnswer: 640989621.475825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001519 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 8. Let h(j) = -7*j**3 - j**2 - 8*j + 3. Let x(b) = -b**3 - b**2 - b. Let d(w) = -h(w) + 6*x(w). Does 7 divide d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 5:37 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*m + 13*m + 30 = 0. Suppose -s = -2*s + 2*b + 3, m = 2*s - b. What is the third derivative of -s*w**6 + 6*w**2 + 2*w**2 - 2*w**2 wrt w?\nAnswer: -1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53263 is divided by 17746.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8.72406 + 0.02406. Let q = -8.777 - 0.123. Let v = p - q. What is the fourth biggest value in 3, v, -1.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11113 + -13?\nAnswer: -11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t**2 + t**2 - t**4)*(-119227 + 119227 - 370*t)*(-4 + 2 + 3).\nAnswer: 370*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*h - 2*h - 4*h)*(1855*h - 6955*h - 4489*h - 1778*h + 1886*h).\nAnswer: 18962*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-798)\/76*6\/(-14)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, g: 2, h: 2, t: 1, w: 1}. Give prob of sequence hwvg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -75*d**3 - 130*d**2 + d - 162564 wrt d?\nAnswer: -225*d**2 - 260*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**3 - 4*v**3 - 5*v**3 + 5*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 43.9 - -44.9. Let r = v - 89. Which is bigger: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbb when three letters picked without replacement from abaaaaaaaabbaaabaaa?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 16 + 9652\/(-532)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 3*m = 24, 0 = -0*c + 4*c + 2*m - 4. Determine z so that -21*z**2 + z - 15*z**4 + 27*z**c + 7*z - 2*z + 3*z**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 = 5*q - 58. Let h = 91\/3 - q. Let h + v**2 - 4\/3*v = 0. What is v?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10101101011100101 (base 2) in base 15?\nAnswer: 1b4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 3 - (-3 - (3 + (-1 - 14))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -268 + 9103. What are the prime factors of j?\nAnswer: 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 + -0.3. Let p be 42\/112*-1*68\/(-3). Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -16676673*v**3 + 17634523*v**2 wrt v?\nAnswer: -100060038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -4, 5, 28, 71, 140, 241, 380?\n\"Answer: s**3 + s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6992 and 2736?\nAnswer: 62928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -34 + -44 + (53 - 22).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.00404 and 0.1.\nAnswer: 0.000404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -33 - -32.97. What is y rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 238629.\nAnswer: 3, 17, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 132477\/11 - 12045. What is the common denominator of s and 25\/778?\nAnswer: 8558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-54)\/135)\/(117\/(-60) - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*l + 2 = 32*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (5 - 2 - 1)\/(-2). Let z be 2\/(-8) - j\/4. Suppose z*m - 2*m = -66. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2112 (base 5) in base 16?\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5139 + 7569. What is the highest common factor of g and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -9*q**2 + 3*q + 88. Let w(p) = -4*p**2 + 2*p + 45. Determine -3*o(s) + 7*w(s).\nAnswer: -s**2 + 5*s + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}