{"text":"Question: Suppose -57 = 5*q - 7. Let g(z) = 1. Let f(d) = 2*d - 3*d - 20 + 15. Suppose -w = 5*l + 4*w - 15, -2 = -4*l - 2*w. Determine l*f(u) + q*g(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 10\/3, -0.1, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002985383 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together -2.31237547 and 3.\nAnswer: 0.68762453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 6156518, 6156408, 6156298?\n\"Answer: -110*g + 6156628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/35*14\/6*((-312)\/16)\/(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8)\/(-1) - 62160\/7784. Suppose 0*y = -2*y + 2*f + 10, 0 = -4*y + 2*f + 20. Put h, -0.4, y in ascending order.\nAnswer: -0.4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 + -7. Let g = s + 6. Suppose -g*d - 4 = -6*d. Solve -d*y = -11 + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -15*d**2 + 4 - 4. Let l(h) be the first derivative of -7 + 0*h + 1\/3*h**3 + 0*h**2. Give m(l(s)).\nAnswer: -15*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2193, -2120, -1997, -1824, -1601?\n\"Answer: 25*a**2 - 2*a - 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -2097793 and 222.\nAnswer: -2097571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 164 divide 6149925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 833*d**3 - 974*d**3 + 7909*d - 6*d**2 + 6*d**2.\nAnswer: -141*d**3 + 7909*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 6 = -5*c, 3*c - 2*w = 4 - 0. Let t = -58 + 62.9. Let p = 5 - t. What is the nearest to 0 in -1, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-9)\/(-4))\/((-81)\/35208). What are the prime factors of (-4)\/((-16)\/k)*(-208)\/78?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 418*i - 4*i**4 + 167 + 6*i**4 + 303*i - 166*i wrt i.\nAnswer: 8*i**3 + 555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 137, 287, 447, 617, 797, 987, 1187?\n\"Answer: 5*b**2 + 135*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the third derivative of -37*d**4\/12 + 5*d**3\/6 - 3551*d**2. Give p(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 929 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 18.4 + -127.4. Let b = -119.8 - f. Round b to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 2*n**3 - 42*n**2 - 1998*n + 43219. Determine q(22).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/3))**(-1)*p**(-1\/7)*p**(-3))\/((p\/(p\/(p**(1\/3)*p)))**(-2\/83)*(p\/((p\/(p\/(p**(3\/2)*p)*p))\/p)*p)\/(p*p**0)) assuming p is positive.\nAnswer: p**(-4583\/1162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*h - 26*h + h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1440 - 2?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {w: 2, m: 2, i: 3, o: 5, d: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -206 + 526. Let i be ((-4)\/10)\/(256\/z). Which is the nearest to -1.2? (a) 0.4 (b) 0.02 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20 - 24. Let r(k) = -3*k - 9. Let x be r(w). Solve 20 = 4*v - x*i, 4*v + 8*i = 4*i - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38562883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y - 7. Let k be l(-8). Let v = -1.3 + 5.3. Let z be 1 - 9\/4 - -1. Which is the smallest value? (a) k (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (-2431)\/26 - ((-141)\/(-42) + 90\/(-105)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 222187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 25, 2\/3, -224, 1\/2, -2\/5.\nAnswer: -224, -4, -2\/5, 1\/2, 2\/3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122*h - 51156 = -644*h. Let t(z) = -z + 6. What is the lowest common multiple of t(5) and h?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-59)\/((-8378)\/142))\/((-3)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -59 - 109. Let f = -40 + u. Solve -2*q = 3*a + 1, -f*q + 6*q - 3*a = -11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*f - 2*f + 5*f + (-f + 3*f - f)*(-6 + 0 + 4) + 3*f + 3*f + 0*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1083, 4276, 9659, 17232?\nAnswer: 26995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 25198990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 19 = -129. Let n = g - 26. Let k = 0.2 + -0.4. What is the closest to -1 in k, 0.2, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 213989 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.642097 times -27\nAnswer: 17.336619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -295*-1.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53856 = -3*g + 36*g. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 569902139 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 4*i + 9 - 1 = 0, b - 4*i - 16 = 0. Suppose 3*z - 15 = 0, -4*d + b*z - 24 = -60. What is the greatest common factor of d and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - -3 - ((69 - -10) + -7)) + (-128 - -136)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -33, -67, -103, -141, -181, -223, -267?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {m: 1, y: 1, u: 4, o: 4, k: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2054 - 300. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.05 - 0.35. Let k(w) = -w**3 - 3*w**2 - 2*w - 3. Let h be k(-3). Suppose h*c + 3 - 6 = 0. Sort 4, t, c in decreasing order.\nAnswer: 4, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 497065.3g in milligrams?\nAnswer: 497065300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/(-20) + (-922)\/(-5). Suppose 4*w = 8 - 4. Find the second derivative of p*x - 1 - 3*x**3 - 174*x + w wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-42)\/(-5) + (6\/(-8))\/(15\/(-12)). Sort j, 2, 1 in decreasing order.\nAnswer: j, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12592 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -50 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 50\/175*(-10)\/70\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28941 is divided by 3931?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 135 - 130. Suppose 0*m - 206 = -r + 4*m, 5*m = h*r - 985. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*k - 56315 - 83680. List the prime factors of k.\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2362379*d**3 + 722350*d**2?\nAnswer: 14174274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -279*z + 520*z - 272*z + (2 - 2 - 2 + 1 + 2 - 5 + 4 + 0 - 2 + (3 - 1 - 1)*(4 - 4 - 2) - 1 + 0 + 0)*(2*z + z - z).\nAnswer: -41*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) -0.1 (d) 10 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/((-40)\/(-96)))\/(2\/(80\/104))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 2*f = 4*p + 421, 2*p = 5*f + 2215. Is f at most -441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1749*z - 106 - 77 + 1747*z)*(4*z - 12*z - 10*z).\nAnswer: 36*z**2 + 3294*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 15650*v - 94856 - 445772 = 1760*v - 54478 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 49391\/4 - 12833. Let y = -482 - d. Suppose -2*g = -4 - 0. Which is bigger: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7233141697?\nAnswer: 50971, 141907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7633499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 15265, 30533, 45799, 61063, 76325, 91585, 106843?\n\"Answer: -u**2 + 15271*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-1 + 24\/15). Let q = -119 - -244. Suppose -5*o + q = p - 6*p, -4*p = o. Solve 0 = h - 2*s + 10, 2*h = f*s - o - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 252 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.1049 and -6.7489282872?\nAnswer: 6.6440282872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 93*r - 166050 = 66*r. Is r a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-7)*197428\/2564?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*s - 280 = 35*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 403, 1587, 3567, 6349, 9939, 14343, 19567?\n\"Answer: x**3 + 392*x**2 + x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes before 8:33 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*(-4)\/(392\/(-7))*-2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b**2 + 7*b - 9. Let j be x(-8). Let r = 89 + -81. Let d(h) = r*h - 112 + 112. Calculate d(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -35535 by 3.\nAnswer: -11845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -3287 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 15*g + 3)*(5*g - 5*g + 2*g**3)*(2 + 0 + 11) to b + x*g**4 + q*g**3 + w*g**2 + i*g and give x.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 191, 234, 275, 314, 351?\n\"Answer: -k**2 + 46*k + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5497159 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(40)\/sqrt(8) + sqrt(5) + (sqrt(35)\/(sqrt(56)\/sqrt(8)) - sqrt(5)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is eleven tenths of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -199167*y + 995836. Give x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 185.8 - -15.2. Let q = t - 200.9. Which is the nearest to 6? (a) q (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0741874 tonnes in grams?\nAnswer: 74187.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -4*q**2 + 18. Let a(x) = -24*x**2 - 3*x. Let v(r) = -113*r**2 - 14*r. Let y(n) = 14*a(n) - 3*v(n). Determine z(y(m)).\nAnswer: -36*m**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 5*z - 2*z. Suppose y - z = -4. Solve 4 = y*i - 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.08425 + 0.00017. Round q to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2141, 8573, 19287, 34277, 53537, 77061, 104843, 136877?\n\"Answer: -n**3 + 2147*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20654?\nAnswer: 2, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*n**4 + 6*n**4 - 7*n**4)*(2 - 12*n + 0 + 8*n).\nAnswer: -32*n**5 + 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 2 = 5*f, 34*f - 33*f + p + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (13 - 17) + 3 + 0 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - (-10 + 2)) + 8 + 4 + -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -101, -102, -103?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (54\/(-9) - -10)*(-546)\/(-84)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum 3 and -209132.\nAnswer: -209129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 418344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -202, -195, -188, -181, -174?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 151 = -106*i - 167 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -14, 57, -151\/3, -2\/13?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1294729 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(486)\/sqrt(9))\/(sqrt(21)\/(sqrt(70)\/sqrt(10))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.3 and -4366962.\nAnswer: -4366961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16 and 1056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {a: 1, z: 3, d: 3, x: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) 0.1 (c) 0.5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2213 + -2188. What is the greatest common factor of z and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/240? (a) -4 (b) 12\/17 (c) 2\/9 (d) -202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 - 10*y + 6. Let d be g(10). Suppose 2 = -5*c - 3. What is the units digit of (c\/3)\/((-1)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -38*h + 382. What is the lowest common multiple of 240 and r(9)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3263 + 3?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.077238 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -469229*i**5*w**2 + 4*i**3*w**2 - 2*i**2*w**2 + 870748*i**2*w wrt i.\nAnswer: -28153740*i**2*w**2 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8 take away 6550.74?\nAnswer: -6549.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/113 in -3, 0.4, 12, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**2 - 6*n - 4. Let k be y(-6). Let s be -3 + (k\/6 - -3). Let l = -0.7 - -0.2. Sort l, s, -5 in descending order.\nAnswer: l, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-9)\/p*p**9)**(-1\/11)*(p**(1\/5)\/(p\/(p*p**4)*p))**(-1\/8) assuming p is positive.\nAnswer: p**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4 + 5*a**3.\nAnswer: -a**3*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*c + 4 = -7*c. Let s(y) = 13*y**3 - 2*y + 1. Let m be s(c). Suppose 3*q = m, 2*b - 4*q = -b - 22. Is b smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from nxnnnxnyxxnnxnn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let b = -50\/87 + -1\/116. Let o = -1537 + 2985\/2. Calculate the common denominator of o and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 732, 1459, 2184, 2907, 3628, 4347, 5064?\nAnswer: 5779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 109 + (-235410)\/2166 - (-46)\/95.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, -156761, -9?\nAnswer: -156761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 17*c**3 + 4*c**2 - 9*c + 25. Let r(p) = -4*p**3 - p**2 + 2*p - 6. What is -6*g(f) - 26*r(f)?\nAnswer: 2*f**3 + 2*f**2 + 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 737214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that f**2\/4 - 16465261*f\/2 = 0.\nAnswer: 0, 32930522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 53244.72t in micrograms?\nAnswer: 53244720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 26422583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 449*z = 421*z + 50176. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5 + -5 - 0) + 2. Suppose -81 = c*x + m, -5*x - 4*m - 201 = -2*m. Calculate the common denominator of 19\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18) + sqrt(90)\/sqrt(5) + 1 + sqrt(18) + 2 - (sqrt(12)\/sqrt(6)*6 - sqrt(98)*-5))**2.\nAnswer: -192*sqrt(2) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12281 + -12281.1. Which is bigger: 14996 or s?\nAnswer: 14996","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 15, 30, 57, 102, 171, 270, 405, 582?\n\"Answer: q**3 + 8*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 5, 14, 23, 32?\n\"Answer: 9*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - (-77)\/14)\/(4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**2 - 3*s - 3. Let m(a) = 6*a**2 - 17*a - 17. Let c = 177 + -63. Let w = c - 80. What is w*q(x) - 6*m(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*d**3*f - 6*d**3 + 8*d**2*f*k**2 + 4*d**2*k**2 with respect to f.\nAnswer: -2*d**3 + 8*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lhllllhllllll. What is prob of sequence lh?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 677960293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wweewwwwweeewwweeeee. Give prob of sequence ewe.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 480 divided by -2.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-22)\/(-6) + 1)\/(28\/(-84))*1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**2 - 33*n + 26. Suppose -46 = g + g. What is the tens digit of j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -3*z + 3 - 1 - 1. What is the smallest common multiple of f(-1) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -41\/5 (b) 2\/9 (c) 0 (d) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (8\/(-12))\/((-21)\/9). What is the second biggest value in 1, t, 0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*y + 581 - 605 = -4*q, 0 = 2*y - q + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9.40351 kilometers in nanometers?\nAnswer: 9403510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1351560387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 29*z - 85. Give j(13).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 730 is divided by 76.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1391.314 - -313362427\nAnswer: 313361035.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -3*u + 28. Let n be w(9). Suppose 0*b - 3*b = -18. Solve c + b = 4*r, -5*c - 9 = n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2200314 (base 5) to base 9\nAnswer: 56500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3\/7 - 4806*k**2 + 1247492*k\/7.\nAnswer: -2*k*(k - 37)*(k + 16858)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 14 = 2*j, 24*m + 26 = 2*j + 28*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**5))\/g)**(2\/9)\/(((g*(g\/(g\/g**25*g))\/g*g)\/g)\/g*g**(-7)) assuming g is positive.\nAnswer: g**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 685766 and 91676?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002318001 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9*f**3 - 15*f**2 - 2*f**4 + 16*f**2 - 14*f**2 - 6*f**2 wrt f.\nAnswer: -48*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b - 17*b + 6 = 0. Calculate the lowest common multiple of b and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 199.538 - 1.938. What is h rounded to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 + 6*r**2 + 4*r - 1. Let z be d(-5). Which is the nearest to 1\/3? (a) -3 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 209.041029 - 208.881. Let g = a - 0.16. What is g rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19763*n**5 - 120*n**3 + 9959195*n - 2 wrt n.\nAnswer: 395260*n**3 - 720*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qwx when three letters picked without replacement from qwx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**2 + 9*l + 13. Let t be i(-8). Suppose n + n - 113 = -5*b, -b + 294 = t*n. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1803121 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**2 + 2*q**2 - 2*q**2)*(q**2 - q + q) + (-2*q**2 - 2 + 2)*(-41*q**2 - q**2 + 9*q**2).\nAnswer: 65*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 562174.\nAnswer: 2, 103, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 4. Let o = 1 + -1.4. Let x = 11917.4 - 11917. Which is the closest to v? (a) x (b) o (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 481524670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 4, n: 1, t: 2}. What is prob of sequence tt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -194 + 63 + 71 + 33*g**3 - 11*g**3 + 60.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 + 28. Let o = -20 + i. Suppose -3 = -3*f - 4*c + 2, 4*c = -f + 7. What is the nearest to f in -0.2, o, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f + 1, 5*r + 5*f = 3*r + 13. Suppose -2 = -j + b, -4*b - 12 = -4*j - 2*b. Suppose 76 + 24 = j*c. What is the remainder when c is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4740*p**2 - 8003 wrt p.\nAnswer: -9480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1000489, -2, -3, 5.\nAnswer: -1000489, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 30002164 by -7500541.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 48484 and 64199072.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 + 25.1. What is the closest to 0.3 in -2\/7, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {w: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -8 times 876591\nAnswer: -7012728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 37415 - 21656. What are the prime factors of t?\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 75985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 3 + 5 - 2 = 4, -3*k - 3 = 3*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (165\/60)\/11*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4350709 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -285 = -113*b + 583 - 190 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 64*w**2 - 21*w**2 - 18*w**2 - 9 - 24*w**2 - 8*w. Let j(x) = -2*x**2 + 14*x + 20. Let g(s) = 3*j(s) + 5*n(s). Give g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6611 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 365258.07 and 0.2.\nAnswer: 73051.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*q = 0, 4*n = n + 2*q + 7. Differentiate -15*c**3 + 51*c**3 + 10*c**2 + 43 - 39*c**n wrt c.\nAnswer: -9*c**2 + 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 388261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/129 in 3, -2\/5, -44?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*r**5 + 5*r**2 + 4*r**2 - 3*r**2 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 101 + -105. Let t(c) = c + 3. Determine t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -849, -3374, -7581, -13470, -21041?\n\"Answer: -841*b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 289054630 to the nearest 100000.\nAnswer: 289100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -3*k - 5. Let a(q) = -q - 1. Let g(v) = 6*a(v) - u(v). Suppose 3*z - 5 = 31. Suppose z - 4 = -4*w. What is g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8259981571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7067 - 2949.6. Round n to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -122400 + 3\nAnswer: -122397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 - b**2 + b - 1. Let s(v) = -2 + 1 + 29*v**3 - 23*v**3 - 5*v**2 + 5*v - 4. Let r = 8 + -7. Determine r*s(l) - 5*m(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -829, -781, -687, -541, -337?\n\"Answer: t**3 + 17*t**2 - 10*t - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 110 - 126 + 697*l + 17 to the form c*l + o and give c.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 11:06 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 230873124 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -24*t - 246 + 44 - 302 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3 - -4)*-4*2. Let v(p) = -11*p**2 - 5*p - 8. Let m be v(x). Let o = -353 - m. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 6*6*(-6)\/(-756)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 866620379 to the power of 1\/3, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 2*y**3 - 139*y**2 + 639*y + 4136. What is j(64)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00010046 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1\/2))**(-1\/23)*((m\/(m\/(m**(-2\/3)\/m)))\/m)**(-10\/11) assuming m is positive.\nAnswer: m**(3713\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 101797, 102387, 102977, 103567, 104157?\n\"Answer: 590*a + 101207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2*o**3 - 45 + 20 + 27 - 5*o**3 in the form b*o**3 + t + a*o + z*o**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13 - -17. Suppose 2*f - 5*u = -3*u + 84, -f + 3*u = -38. Calculate the greatest common divisor of f and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5969 or -8302?\nAnswer: -8302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 2*v**5\/17 + 30*v**4\/17 + 96*v**3\/17 + 88*v**2\/17 = 0. What is v?\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are -18715647 and -18715647 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 259 is divided by 86?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2 + m + 5. Let o(i) = -i + 5. Let u be o(-5). Suppose 2 + u = 6*j. Suppose -k = -j*k. What is v(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8.4 + 8. Let d = -4.5 + 5. Let y = d + v. What is the closest to y in -4, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r = -9 + 37. Solve 5 = d + r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17982 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 16*f**3 + 18*f**2 - 5*f. Let h(x) = -8*x**3 - 9*x**2 + 3*x. Let k(s) = 5*h(s) + 3*t(s). Find the third derivative of k(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 125989129820?\nAnswer: 125989129825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j + 11 + 7. Let x(n) = n**3 + 117*n**2 + 152*n + 17786. Let u be x(-117). Calculate the highest common divisor of j and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 0.07, -0.3, -23\/492?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4893 is divided by 696.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -6*w - 13. Let r(c) = -4*c - 9. Let h(q) = 7*r(q) - 5*v(q). Let y be h(-2). Suppose -2 = d + 3*a - 12, -4*d + 4*a - 8 = 0. Which is bigger: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2105, 8299, 18583, 32957, 51421?\nAnswer: 73975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, m: 3, w: 1, j: 2}. Give prob of sequence mjmm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -6, 74865, -2, 3, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 168.1191 to the nearest integer.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 579046577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 + 84. Let h be 0*-3*(-3)\/(-9). Let d be r(h). Solve 2 + 21*q**4 - 50*q**3 - 18*q**2 - 7*q**3 + 6 + d*q + 16 = 0 for q.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2561, -3466, -4371, -5276, -6181?\nAnswer: -7086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h + 2*h - 5*h + 2126 - 4*h + 5*h - 2288 + 2*h - 2*h + 2*h + (2*h - 5*h + h)*(-4 + 2 + 0) + 4*h - h - h - 1 - h + 1 + 2 - h - 2 - 3*h + 1 - 1.\nAnswer: 3*h - 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or 87.6?\nAnswer: 87.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be 995*((-3)\/(-4) + -1). Let k = z - -250. Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -110 + 100. Let t = -9 - u. Sort -2, t, 0.01.\nAnswer: -2, 0.01, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00917912613 to four decimal places.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 4, 13, 14, 1, -32, -91, -182?\n\"Answer: -c**3 + 2*c**2 + 10*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1746, -14000, -47268, -112056, -218870, -378216, -600600, -896528?\n\"Answer: -1751*m**3 - m**2 + 6*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = 2*g + 5*m, 5*g - g = -3*m - 63. Let l = g + 33. Let h be 15*3\/l*8. Calculate the highest common factor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 2. Let a = 496 + -499. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 12 = -4*j. Let a(n) = 5*n**2 - 4*n + 3. What is the remainder when 29 is divided by a(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**3 + 8*z**2 + z - 5. Let o be j(8). Suppose 29 = o*q - 43. Solve -9 = 27*n - q*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide ((-7516)\/(-7) - -3) + (-170)\/(-595)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (0 - -5)\/(1\/26) is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/12 + (-26)\/(-6). Suppose -4*k = 4*w - 2*w - 28, -5*w + 40 = n*k. Solve 2*s - 2 = w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -216 + 215.2. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) - sqrt(63)\/(-2*sqrt(9))) + (sqrt(140)\/sqrt(4))\/sqrt(5).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the first derivative of 551*q + 3*q**2 - 5*q**3 - 545*q + 3*q**3 + 52. Let l(o) = -o**3 - o**2 + o + 1. What is j(c) - 6*l(c)?\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(85)*1 - sqrt(85))*1)\/(sqrt(5) - ((sqrt(5) + -3*sqrt(5) + sqrt(5))*1 - sqrt(5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 4*p = 1695 - 1692, 0 = 2*j + 4*p - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15095*c**2 + 20*c - 39?\nAnswer: 30190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -87*y**3 - 92*y**3 - 128 - 22*y**3 wrt y.\nAnswer: -603*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.0908? (a) -19\/2 (b) -2\/19 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7862*r - 15546*r + 7662*r.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + -4 - 6*-1. Factor 0*c**2 + 21*c - 12*c + 3*c**3 - p + c**2 - 10*c**2.\nAnswer: 3*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -2171*t - 73. Let m be g(-21). Suppose -m - 9666 = -8*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5 and 2064855?\nAnswer: 2064855","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of -76*y**3\/3 - 2*y**2 + 1202*y + 2202. Differentiate b(p) with respect to p.\nAnswer: -152*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 240 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 381979226.\nAnswer: 2, 190989613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(176) - (-1*sqrt(99))\/sqrt(9).\nAnswer: -2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 1174500 by -5.\nAnswer: -234900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2457, -9634, -21603, -38370, -59941, -86322, -117519, -153538?\nAnswer: -194385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 132 - 127. Solve -l*n + 20 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -168, -326, -482, -636?\n\"Answer: m**2 - 161*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:48 PM and 8:47 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 798 a factor of 272916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10421, 41960, 94529, 168128?\nAnswer: 262757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 141968 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1002 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -23 + (21 - 16) - -43\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55*g - 2*g**2 - 55*g + 10*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 547 and 455651.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 + -3 - 2) + 2. Let l(n) = -19*n - 1. Calculate the remainder when 35 is divided by l(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 3*g = 3*b - 11, -g = 3*b - 5. Suppose -4*w + 127 = 5*a - 0*a, -g*a - 78 = -3*w. Let m = -3 + w. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -426.883 to the nearest integer.\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be (288158\/5)\/2 - 34\/(-170). What is a rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/155818 and 101\/28582?\nAnswer: 4830358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) -957.2 (b) 5 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2038592155?\nAnswer: 5, 19157, 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -2.2, -5, 1\/3, -401, 2 in descending order.\nAnswer: 2, 1\/3, -2.2, -5, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide -5 + 1\/2*(-1218)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllctslllllst. What is prob of picking 1 l and 1 s?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 37 - 38. Let r(v) = -13*v**3 - v**2 + 1. Calculate r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, -0.5, 4, 3\/7.\nAnswer: -16, -0.5, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, -1, -36, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jt when two letters picked without replacement from qqjqeemeteqq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -60*x + 6125. What is the lowest common multiple of 3385 and a(102)?\nAnswer: 3385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 11*b = -7. What are the prime factors of 950\/8 + b - (-22)\/88?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 - 9. Let y = -41 + 26. Let v be 7\/y - 3\/15. What is the smallest value in v, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 + 4*m**2 - 4*m - 2. Let n be v(-5). Let c be 6 - 7 - (-589)\/n. Let y = -6445\/84 - c. Calculate the common denominator of y and -119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) -3 (c) 0.02 (d) -2 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes after 8:24 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the second derivative of 11*k**6\/6 + 49*k**4\/12 - k + 18. What is the third derivative of w(y) wrt y?\nAnswer: 1320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s + 7 + 5. Let x(l) = 2*l - 2. Calculate the remainder when ((-18)\/(-2))\/1 + 1 - 0 is divided by x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.6, 4, -48\/485?\nAnswer: -48\/485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:19 AM and 4:20 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.04 * -20424.93.\nAnswer: 816.9972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be 32647\/(-4480) + 7 - (-6)\/21. Let m = k + 2881\/640. Factor 1\/4*s**3 + 54 + 27*s + m*s**2.\nAnswer: (s + 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 480234987 to the power of 1\/3, to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of -11081 and 0.5.\nAnswer: -5540.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = 4*v + 4*w, w + 0 = 2*v + 5. Let z = 6.864 + -7.85. Let p = -0.014 + z. What is the nearest to p in -9, v, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -575, -2268, -5089, -9038, -14115?\nAnswer: -20320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - u + 10 = 0. Suppose -h = u*x - 30, 0*x + x - 10 = -3*h. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(15\/((-90)\/12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1290.793g to nanograms.\nAnswer: 1290793000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 12) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.1, -317, 13, -1, -4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 5*d = u - 12, 3 = d + 4*u. What is the remainder when 14 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 67103325, 67103323, 67103321?\n\"Answer: -2*h + 67103327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5 + (3094\/(-12))\/(-13) and 13\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42 + 36 - (3 + -4 + -2 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 8) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**2 + 20*b + 69. Let v be r(23). Solve v = -5*t - 2 - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 4.56 and -16.\nAnswer: -11.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -7*y**2 - 135*y - 99. Calculate i(-11).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 456679986?\nAnswer: 2, 3, 7, 271, 40123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**2 + 22*v + 60.\nAnswer: 2*(v + 5)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(-6\/7)\/b)\/b**(-2\/5))\/(b\/b**(-2\/5)*b)**(10\/13))\/(b**(-3\/2)*b**(-3)\/b)**31 assuming b is positive.\nAnswer: b**(152149\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 21\/14*(-28)\/(-3). Suppose 2*v - p = 5*k, k = v + 2*v - 21. Which is bigger: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - 8*a - 5787 = -6217 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-18*10\/190)\/(((-207)\/437)\/9)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w**2\/9 + 34*w\/9 + 28\/3 = 0. Calculate w.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 86866668149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2080597537 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.3, 5, 2087, 16.4, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = 8*i - 125. Let c be 1*(-2)\/(-4)*2. Let d = i + c. What is the remainder when 37 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**2 + p - 4. Suppose -2*w = w + 36. Let g = -12 - w. Calculate u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 180*d**4 + 892*d**3 - 1120*d**2 + 48*d = 0.\nAnswer: -6, 0, 2\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 - 9*z**2 + 21*z + 19. Let p be t(8). Find the second derivative of -2*b - 8*b + 2 + p*b**2 - 72*b**2 - 2*b**3 wrt b.\nAnswer: -12*b + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m**3\/4 - 24*m**2 = 0.\nAnswer: 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-one quarters of a decade in months?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**2 + 10*p - 22. Let v be f(6). Solve 2*w - v = -0*w + 5*a, -2*w = 4*a + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -29 + 20. Let g(k) = -k**3 - 6*k**2 + 4*k + 3. Let d be g(i). Is 3*d - -3 - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 138677 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 4*d - 10 = 0, d - 2*d = 4*z - 5. Suppose 0*y = -z*y + 2. Let s be (-2 + y - 0) + 11. Calculate the greatest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = -y - y + 4, -4*k + y - 17 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*k**2 + 2*k**2 - 36*k**3 - 3*k**3 + k**2.\nAnswer: -39*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 3*s = 868, -5*s = -0*s + 20. Let j = k + 148. Is (-2)\/(j\/62 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 24*m - 35. Determine z(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 27, 58, 111, 192, 307?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 6*t. Let k be n(-1). Let a be 1 + k\/10 + 36\/10. Suppose -2*z - 5 = -5*f, a*z - 23 = -f - 0*z. Sort 1, -4, f, -3.\nAnswer: -4, -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10.37, -2.11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -3*a**2 + 99*a - 523. What is z(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -4*g**3 - 3*g - 3. Let i be b(-1). Solve -j - t - 2 = 0, 0*j + 24 = -i*j + 4*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -387090*a**5 + 3*a**3*l**2 + 2*a**2*l - 545*a**2 + 4*a*l**2 - 292*l wrt a.\nAnswer: -23225400*a**2 + 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 32, 59, 104, 167?\n\"Answer: 9*u**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00151903 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 - 10.9. Let v = 1 + s. Which is the nearest to v? (a) -1\/2 (b) -2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 101 - 18*t - 17 - 40 - 45. Let d(n) = -2*n. Give q(d(u)).\nAnswer: 36*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 504 is divided by 204.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 980 = 985, -4*q = 2*k - 97586. List the prime factors of q.\nAnswer: 3, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30.1508 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 217*v**2 - 6*v + 3. Let o be f(-3). What is the smallest common multiple of 60 and 1\/(-7)*2 + o\/49?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 3*s + 6 = 69, s = 5*g - 93. What is the remainder when -1 + 8 - ((-222)\/10 + (-180)\/225) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-1\/2)\/s**(1\/8)*(s\/((s\/(s**(-6\/11)\/s))\/s))\/s**(-1\/2)*s\/s**(-1\/7)*s\/((s\/s**6)\/s)*(((s*s*s*s**0*s*s)\/s)\/s)**(6\/7) assuming s is positive.\nAnswer: s**(6187\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 276, 579, 884, 1191, 1500, 1811?\n\"Answer: o**2 + 300*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 10 + 9)*(-178*m**2 + 49*m**2 + 12*m**2) + 2*m**2 - 4*m**2 + 0*m**2 + 0*m**2 + 0*m**2 + m**2 + (2*m + 0*m + 0*m)*(3*m - 5*m + 0*m).\nAnswer: -356*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -186048 by -15504.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -411 + 6925*q + 411.\nAnswer: 6925*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1779672 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -14*v**3 + v**2. Let j be m(1). Let l(x) = x + 17. Let y be l(j). Is 27 a factor of y\/(-10) - (-2844)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m - 5. Suppose 4*s = 2*s + 5*a - 12, a = 3*s + 18. Let b be r(s). Solve -3*c + 4 = 1, 2*i + 5*c - b = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20877907.\nAnswer: 20877907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 570*d - 29*d + 2705 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 87.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/(-312) - (-93)\/(-156)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 371723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 34704.2 millilitres to litres.\nAnswer: 34.7042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -45, -162, -351, -606, -921, -1290?\n\"Answer: f**3 - 42*f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2826 and 785?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*-1*sqrt(147)*4 + 3)**2 - ((0 + sqrt(147) + sqrt(147))*-6 - ((sqrt(147) - (-1 + sqrt(147))) + -2))*6.\nAnswer: 1008*sqrt(3) + 21171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 344\/(-602)*-1*(-7)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -451, -450, -449?\n\"Answer: d - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 411848 - 731*g**3 - 186*g**3 - 411848.\nAnswer: -917*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41874 is divided by 13698.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -382 + 403. Let v be a - ((0\/(-1) - -1) + 5). Solve -v = 50*c - 55*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 + 41. Suppose -o = -3*q - r, 86 = 5*o + q + 31. Solve 3*z - 7*z = -o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 231043850 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 49.46 (c) 4747\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b. Let v(w) be the second derivative of -w**6\/180 + w**5\/120 + 5*w**4\/12 - w. Let l(r) be the third derivative of v(r). Determine -2*l(f) - 7*s(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3e5 + -2?\nAnswer: 3e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001859723786 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2343)\/(-18))\/11 - (-259 - -271). Suppose 5*j = -2*z - 23, -z + 4 = 2*j + 13. What is the second biggest value in 5, w, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 12548902 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -33082\nAnswer: 2\/16541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 11156 times -865\nAnswer: -9649940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 40 + -10. Solve 5*m + j = 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u - d + 401, 18 = u - 2*d - 49. What is the remainder when 611 is divided by u?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 2*d = -20, 5*k + 2*d = -3*d + 40. Suppose 5*t + 2*f - 7 = 0, 0 = 3*t + t + 5*f + 8. Let b(u) = -t*u**2 - 2 - u + 3*u + u**2. Give b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -16 + 9 - (703\/76)\/(2\/(-8)). Solve -14*p - 12 = o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**1*f)**41\/((f**(-3\/10)*f*f)\/f*f*f\/(f**(2\/7)*f*f*f)*f) assuming f is positive.\nAnswer: f**(8581\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/6534 and -53\/22869.\nAnswer: 45738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 23*j**2 - 5*j + 6. Let l be a(2). What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6*-5*(-6)\/45. Suppose -d = 3*s - g*s + 1, 0 = -4*d + 5*s - 8. Let w(i) = -i - 3. Let a be w(-5). Sort d, a, -8.\nAnswer: -8, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**2 - 5*k - 4. Let o be i(6). Suppose -2*f - 3*f + 37 = -2*x, -19 = -3*f - o*x. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19 - -61) + -108 + -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:08 PM and 1:57 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -3*h**3 + 25*h**2 + 5*h + 16. Give o(7).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4265 + -4261. Solve -p = -4*s + n*p, 0 = s - 5*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 3. Suppose -3*f + 498 = -d*a - 2*a, -2*f = 4*a - 312. Suppose 0 = -4*y + 174 + f. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s, -2*o + 6327 + 418 = 4*s - 1375. Is 35 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -4 + 14. Let j = 4 - c. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 315, 6 in descending order.\nAnswer: 315, 6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in o - 33 + 136 - 34.\nAnswer: o + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**3 - 4*u**2 + 4*u**2 - 2*u**4)*(-u - 2*u + u)*(-4 + 2 + 4)*(-5 + 8 + 2).\nAnswer: 40*u**5 - 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 + 7*c - 5. Let n be s(5). Suppose 0 = -n*t + 5*i + 105, -2*t + 72 - 24 = i. Let l = 23 - t. Is -4\/23 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence afo when three letters picked without replacement from {f: 1, g: 1, a: 4, o: 1, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -87*c + 3*c**2 + 0*c**3 - 3*c**2 + 2*c**3 + 44*c - 2*c**2 as f*c**3 + a + v*c**2 + w*c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33305160 divided by 372.\nAnswer: 89530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-1*sqrt(77)*4)\/(sqrt(99)*-1*1).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vlvkpks. Give prob of sequence vvls.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of ((-6)\/(-1))\/(-3)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*u**2 - 2*u**2 + 3*u**2 - u**2 + u - u + (3 - u - 3)*(-u + 0*u - u) + 14 - 14 - 11*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f + 4*a + 60 = 0, 227*f + 48 = 219*f - 4*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11586 - 12732. Is 0.01 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 + 3*c + 2. Let h be j(-3). Let n be h\/(-11) + 7\/(-22). What is the second smallest value in -1\/4, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 3*m**3 - m**2 + 2*m. What is the remainder when 47 is divided by r(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5.986 - 0.014. Let p = r - -6.1. Suppose 4*s = -3*u - 20, -u - 2*u = 5*s + 22. Which is the smallest value? (a) 2 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -51870.545 to the nearest one hundred.\nAnswer: -51900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 2*c**3\/9 + 200*c**2\/9 + 3544*c\/9 - 7904\/9 = 0.\nAnswer: -76, -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 5, l: 4, e: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8154 and 958850.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(1152)*2 - sqrt(1152))\/(-1*(sqrt(6) + 4*sqrt(54))).\nAnswer: 56*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 + 11*f**2 + 10*f + 8. Let s be r(-10). Let d(n) = n**3 - 8*n**2 + 3*n + 4. Let o be d(s). Let z(h) = o - 6 + h - 11 - 5. Give z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 + (12\/4 - -10). Calculate the highest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -467239.3 to the nearest one thousand.\nAnswer: -467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -13*i + 5. Let l(x) = 6*x - 2. Suppose -4*d + 40 = -f, -4*d - f + 32 = -0*d. Let t be 6\/8 + (-26)\/(-8). Calculate d*l(s) + t*g(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 15047121 take away 1?\nAnswer: 15047120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -25732385 * 0.02.\nAnswer: -514647.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.27 + 2.25. Let j = 3.2 - -0.8. Let a = 0.249 - 0.049. What is the biggest value in 1\/4, j, c, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) 0 (c) 516778\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 38377 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5898, -6, -3, 2, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p + 36 + 48. Find the common denominator of ((-2)\/48)\/(12\/1638) and 43\/(p\/(-2)*1).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 449, 460, 477, 500, 529, 564?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -192, -377, -560, -741, -920, -1097?\n\"Answer: x**2 - 188*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.013995348 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(187) - (sqrt(187)*-1 + sqrt(187))*-1) + -2*sqrt(187)*-1)*-1*-4)\/((-5*-3*sqrt(121))\/(sqrt(1584)\/sqrt(4))).\nAnswer: 24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-9\/8)\/(j\/(j**(2\/33)*j)))\/(j**(8\/9))**(-1\/26) assuming j is positive.\nAnswer: j**(-10607\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 26*d**2 + 17*d + 13. Give h(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (((-35)\/(-7))\/5)\/(4\/23704)?\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0465 - -4.2135. Let g = t - 4.46. Sort g, -2\/7, -3\/5 in ascending order.\nAnswer: -3\/5, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.4 and -58454.\nAnswer: -58453.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 24025674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -c + 62*c**2 - c - 43*c**2 to the form m*c + j*c**2 + k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 33*p**2 - 2*p - 648.\nAnswer: 66*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 27*r**2 - 73*r - 52. Let n be m(22). Suppose 1350 + n = 20*p. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**2 - 441*g - 7650. Give t(-18).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*b - b + 4*b)*(-126 + 88 - 194 - 84).\nAnswer: -2844*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**2 - 69*z - 137. Let n be r(-2). Solve 4*k + k = 3*j - n, -j + 7 = -3*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 2 = -5*k. Is 2 - 3\/k - (-13 - 655) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2*1\/9 + (-92)\/(-414). Suppose -2*v = -2*j - f*v + 36, 4*v + 34 = 2*j. What is the remainder when 66 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 862536.3 millilitres?\nAnswer: 862.5363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2 - 12*i + 10. Let s be (-6)\/(-10) + (-877)\/(-5). Let n be s\/(-24)*(-3)\/2. Let x be t(n). Let f(p) = -19*p**3 + p**2 - p - 1. Calculate f(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 4*j + 10 = 0, o - 2*j + 8 = 6*o. Which is the biggest value? (a) 0.1 (b) -3\/2 (c) -1\/2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13503 is divided by 540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2297374, -2297324, -2297270, -2297212, -2297150?\n\"Answer: 2*m**2 + 44*m - 2297420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 2*l - 31. Let t be s(18). Suppose -4*f + 82 - 23 = t*a, -3*a - 15 = 0. Solve 0 = -m - n, -5*n - f = -3*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 305267 plus 0?\nAnswer: 305267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = c + 5*r + 3, -188*c - 28*r = -176*c - 23*r + 311 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - 26*d + 26. Let k be v(26). Let a(x) = -13*x - 11*x + k*x. Let t(c) = -2*c. Calculate a(t(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -4*m**3 + m**2. Determine k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -74*(1 - 15\/6).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ddddddddiddiddddid?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 - 18*k**2 + 40*k + 41. Determine j(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 776429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 920 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 2\/139?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 694780693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 191*a + 2027. Let z be j(-10). Which is bigger: z or 92?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-4))\/(((-6)\/130)\/(123\/(-205)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1.16 less than -17568.9?\nAnswer: -17567.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 19809 and 175583?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 6*l**2 - 2*l**2 - 8 + 2*l + 3*l. Let f(s) = s**2 + s - 1. Let z(x) = 5*f(x) - p(x). What is the derivative of z(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 305 + -a6981?\nAnswer: -a6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2501099\/15915966 + -8\/33297. Find the common denominator of 39\/7 and n.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1042 - -1461. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4518\/(-54) - (-2)\/(-6). Let s = h - -87. Suppose -k + 11 = s*c, k + 2 + 2 = 0. Solve -3 = c*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 3, -2, -11, -24, -41, -62, -87?\n\"Answer: -2*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 6) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-3)*n**18*n)**(-34) assuming n is positive.\nAnswer: n**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1001100 (base 2) to base 7\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s - 2*s - 1 + 7*s**2 + 8*s**2. Let f = -1 - 0. Let a be j(f). What is the greatest common factor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 53 - 4*z**2 - 13 - 21.\nAnswer: -4*z**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -16*p**2. Let z(h) be the second derivative of -1\/12*h**4 - 19*h + 0*h**2 + 0*h**3 - 1. Calculate s(z(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 3*q + 3 = 0. What is the third derivative of -6*t**q + 6*t**3 - 9*t**2 + 13*t**3 - 4*t**3 wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (8\/10)\/((-48)\/(-840)). Solve t + 0*x - 4 = -x, -p = -5*t + x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/10)\/((-4)\/(-6)*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 7 (b) 11.6 (c) -177 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cco when three letters picked without replacement from fccocockkkokk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(-2)*f)\/(f**(-2\/11)\/f)*(f\/(f\/(f*(f*f\/f**1)\/f)))**43 assuming f is positive.\nAnswer: f**(530\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -7*b**3 - 314*b**2 + 50*b + 246. Determine j(-45).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of d**8\/42 + 11*d**5\/60 - 36*d**2. Find the third derivative of f(c) wrt c.\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -155981.02706 to the nearest ten.\nAnswer: -155980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (348\/(-609))\/((44\/(-7))\/(-2))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the third derivative of -5*a**4\/24 - 2*a**2 + 200. Let g(w) be the first derivative of -2 + 2\/3*w**3 + 0*w**2 + 0*w. Determine p(g(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53961, -108598, -163235, -217872?\nAnswer: -272509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/16610 and -33\/6040?\nAnswer: 66440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-17)\/(-4) + (-12)\/(-16). Suppose 0 = 4*q - v*w - 32, -w + 2*w = -4. Solve -31 = -q*t - 4*r, -3*t + r - 4*r = -27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 14 = 4*n + 2*r, -n + 5*r + 13 = 0. Let s(b) = -b**3 + b**2 + b + 4. Determine s(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - k = 46, 2*m - 77 = 2*k - 5*k. Let t = m + -60. Let o = -8 - t. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r - 1. Let a(h) = 112*h - 34. Let o(v) = 6*a(v) - 204*l(v). Let w(u) be the second derivative of -u**4\/6 - 20*u + 22. Calculate o(w(t)).\nAnswer: -528*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by 658113.\nAnswer: 2\/219371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x - x = -5*x. Let u(w) be the third derivative of x*w**3 + 1\/20*w**5 + 0*w + 7*w**2 + 1\/8*w**4 + 0. Suppose u(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 32 = -3*s + 16, 0 = 2*s + 2. Let n = -11 - h. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -16840387931 and 86.\nAnswer: -16840387845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/(-4) + 2\/(54 + -60)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 0.52, 2, 0.2, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2241 + -2279.36. Let b = 25 + -64. Let q = b - x. Round q to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + (4 - 0\/2). Let x be 1 + 43\/2 + (-3)\/i. Solve -3 - x = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 u, and 2 j when four letters picked without replacement from {j: 4, s: 5, u: 2, x: 8}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -210*o**4 + 119*o + 2 wrt o.\nAnswer: -2520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - (-14 - (-300)\/168)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3187 - 1347. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 + 1.85615428.\nAnswer: 1.95615428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -356 + 355.577. Let z = -0.123 - t. Let s = 42 + -42. What is the third biggest value in s, z, 2, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2801\/7 - 5595\/14. Solve w*p + 7\/2*p**2 - 1\/2*p**3 - 7\/2 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**2 - 5*h - 6. Suppose -4*y - 11 = -35. Let j be f(y). Differentiate j + 8 - 5 + 2 + 3*q**4 with respect to q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from llpppkkplkpllpr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 29*z**2 + 863*z. Let s(v) = -35*v**2 - 863*v. What is -5*s(b) - 6*t(b)?\nAnswer: b**2 - 863*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the second derivative of u**6\/70 + 3*u**5\/4 + 72*u**4\/7 - 162*u**3\/7 + 196*u + 1. Factor p(f).\nAnswer: 3*f*(f - 1)*(f + 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1118015312?\nAnswer: 2, 83, 841879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/((-2)\/3 + 1). Let q be k\/(-2) - 13\/(-26). Suppose -5*u - 109 = 3*n - q*n, 0 = -4*n - 2*u + 158. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 PM and 2:54 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-172*t**4 + 3 - 174*t**4 - 83*t**2 + 344*t**4)*(3 - 1 - 1)*(-3 + 4 - 2)*(-1 + 1 - 2).\nAnswer: -4*t**4 - 166*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/(v\/(v\/v**(-2\/5))))**(-18)*(v**1)**1 assuming v is positive.\nAnswer: v**(-211\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13 + 9. Let l be (2794\/(-138))\/(630\/(-81)). Let x = 1\/322 - l. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1598 is divided by 1594.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/6 and 109\/3324.\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 549 - 676.58. Let g = 1.58 + j. Let l = g - -125.999879. What is l rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 22 = -3*z, -3*v + 30*z - 34*z = -39 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (20 - 50 + 23)*(2*b**2 - 2*b**2 - 2*b**5) + 15 + 2*b**4 - 15 - b**5.\nAnswer: 13*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 104108*d - 148415 wrt d?\nAnswer: 104108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 7534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 54\/6*455\/(-42)*-166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + 3 - (2 + 0). Let o be (-15)\/18 + (y - 1). Which is the third biggest value? (a) o (b) 3\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-53)\/(1537\/(-58)))\/((-4)\/6)*(-186)\/18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 263445368?\nAnswer: 2, 281, 117191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7.1 - -2.1. Suppose -4*n + 3 = -5. What is the smallest value in n, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) 17.58 (c) -1824\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 406195, 406203, 406223, 406261, 406323, 406415?\nAnswer: 406543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3*(-3)\/(3 - 12) and 8 + 1 - (-1)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*b + 7303518 + 8*b - 5*b.\nAnswer: -2*b + 7303518","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 312 - 244 = -19*h - 331 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 11 (b) 2 (c) 0.1 (d) 113 (e) -87 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -71 - -95. Suppose 466 = 14*d - y. Let z = 68 - d. Calculate the smallest common multiple of 15 and z.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35425191 to the nearest integer?\nAnswer: 5952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -4*b - 1. Let j = -6 + 4. Let y(g) = 1. Let f(k) = j*t(k) - 6*y(k). Let d be f(3). What is the highest common divisor of d and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43 - 3\/(-2 - -5) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10 + 5 + 5 - 48*s**2 to the form a*s**2 + r + j*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(96) - sqrt(96)*2)\/sqrt(8))\/(sqrt(12)\/(sqrt(2) - sqrt(18))) + 5)**2 + -3 + (5*1*(sqrt(128) - (sqrt(128) + 1)))**2.\nAnswer: 20*sqrt(2) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -2*q + 2184, 0 = 4*q + 98*b - 96*b - 4400. Are 1101 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8.1159 - 0.0041. Let x = -8.12 - t. Let d = -4 + 3.6. Which is the closest to x? (a) -1 (b) 3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, s: 2, p: 1, g: 4, w: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yqy when three letters picked without replacement from rrrwwgywgqwy?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -v = -5, 1 = -2*g - 3*v + 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 3 * -0.0857\nAnswer: -0.2571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.7 and 2089.\nAnswer: 2090.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2\/3*(-18)\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 12 - 2. Suppose 3*m + h = -4. Let g = 7 + m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (i - i - i + (152 - 8*i - 152)*(0 - 2 + 3))*(21*i - 18*i - 30*i)*(0 + 0 - 4).\nAnswer: -972*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5160 divided by -30.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 - 36*i - 2. Let r(y) = -y**2 + 35*y + 2. Calculate -3*r(o) - 2*v(o).\nAnswer: o**2 - 33*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 790521241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 182 a factor of 1472380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -98*j - 84 + 239*j + 93.\nAnswer: 141*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0*((-4)\/6)\/((72\/4)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -111 (base 4) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 225 and 3798.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**2 - p + 14. Let c(r) = -1. Let g(m) = 6*c(m) + l(m). Let f be g(2). Solve -4*i - 8 = -f*i - 3*h, -3*h - 20 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of -5*r**2 - 1\/30*r**5 - 1\/12*r**4 + 0 + 11*r + 2\/3*r**3. Let o(u) be the first derivative of w(u). Factor o(i).\nAnswer: -2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2 + f + 6. Let l be r(0). Let s(g) = -15*g - 21. Let x be s(-2). Let m be (-54)\/12*(-12)\/x. Solve 8*d - m = l*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 AM and 9:05 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 l, and 1 u when three letters picked without replacement from zlzmzezeulul.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 132969048, -4 in descending order.\nAnswer: 132969048, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.1738*2545.\nAnswer: -5532.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**3 - 30*n**2 + 227*n - 37. Give s(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 w, and 1 c when three letters picked without replacement from xcwwfxxwxwfffxxff.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 0.04, 76 in decreasing order.\nAnswer: 76, 11, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21301784 < 21301783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(-2)\/6*50\/((-2700)\/(-2106))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 3*h - 6 = 0, 5*z + 0*z - 2*h = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of x**7\/1155 + x**6\/165 + x**5\/110 - 11*x**2. What is p in z(p) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3870 and 110080?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-430)\/30)\/(2\/6). Let z = -6 - u. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*(-12)\/(-8)*154\/18*8520\/2485?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (0*j - 2*j + 4*j)*(42*j - 24*j + 54*j) - 4*j**2 + 7*j**2 - 2*j**2 in the form t + k*j**2 + c*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -124.67 and -0.09?\nAnswer: 11.2203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3096 - 184?\nAnswer: -3280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -31*c - 41. Suppose -3*p - 17 = -4*p. Let h(y) = -24 + 15*y + p*y + 66. Let k(l) = -4*h(l) - 5*r(l). Differentiate k(w) wrt w.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 103 - 108. Which is the second biggest value? (a) r (b) 3 (c) 0.09 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5487?\nAnswer: 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b1 (base 16) to base 9\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-96)\/14*(-8617)\/(-11079).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((0 - 0)\/(-1))\/(-1). What are the prime factors of b - (-1)\/(2\/52)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*c - 11*c - 10*c + 24*c + 519*c**2 to the form o*c + q*c**2 + z and give q.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 7, -0.07, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -39404*c. Let u(b) = -241*b**2. What is d(u(q))?\nAnswer: 9496364*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/19*83\/(-83)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12946 + 12764.1. Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -3*a**4 + a**3 + 10*a**2 - 7*a - 1. Let x(s) = s**3 - s**2 + s - 1. Let z(t) = -c(t) - 3*x(t). Determine k, given that z(k) = 0.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1383499\/84 - 16470. Calculate the common denominator of i and (-100)\/(-105) - (0 + (-1)\/(-1)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -129866 - -483944. Suppose -o = 5*p - 8478. Let f = p + 176120. What is f rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -2, -6, -25, -4, -185 in increasing order.\nAnswer: -185, -25, -6, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 53665151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**2 - 2*y - 61. Let k be z(-7). Suppose -k*o - 46 = -166. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 3.09. Let y = n + -0.49. What is the biggest value in -1\/6, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2405 and 910.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -700*c**2 + 127*c + 15681984 wrt c?\nAnswer: -1400*c + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 5 + 0)*(4*n - 4*n + n) to c + t*n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**3 - 2*h**2 - 4*h - 7. Suppose 4*c = g + 17, 4*c - 7*g - 8 = -3*g. What are the prime factors of n(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*x**2 + 3*x**2 - 3*x**2)*(-1 + 0 + 0) + 132*x + x**2 - 68*x - 66*x - 1 + (-4*x + 2*x + 5*x)*(-3*x + 2*x - x) in the form a*x + z*x**2 + t and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**3 - 8*m**2 - 3*m + 5. Let j(t) = t**3 - 7*t**2 - 4*t + 4. Let x(z) = -3*j(z) + 4*o(z). Is x(11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 5*u - 4*s - 11, 3*u = 4*s + 8. Suppose -10 = -5*t - u*t. Let o = -601 - -609. Calculate the smallest common multiple of t and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -59.7 - -54. Let g = y - -6. Let s = 8.8 - g. What is s rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -g*x - g - 38*x**4 - 9*x**3 + 849 wrt x.\nAnswer: -g - 152*x**3 - 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3465 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -0*c - 6. Suppose -c*x - l = -2, x - 2*x - 5*l = 17. Let n = x - -14. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 210212 (base 3) in base 12?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 142780 - 142780 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 71799.\nAnswer: 3, 7, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l**3\/3 + 35270*l**2\/3 - 1696994*l\/3 + 10150042\/3 = 0. Calculate l.\nAnswer: -17683, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(60\/9)*((-1086)\/(-378) + -3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 581490 and 174447.\nAnswer: 1744470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (14 - (-1 + 1))*2. Suppose 2*v + 2*v = z. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 317, -4, 0 in decreasing order.\nAnswer: 317, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 378664 divided by 14564\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2750 (base 8) in base 2?\nAnswer: -10111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 3*q - 3, 5*f - 26 = -2*q - 3. Solve q*m + 1 = 5*t + 2, 4*t = m - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1411 and 73040.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*x, v = 2*x + 40 + 54. Let y be 190\/v - 140\/112. Factor -y*j**3 + 0 + 2\/11*j**4 + 18\/11*j + 6\/11*j**2.\nAnswer: 2*j*(j - 3)**2*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39868.\nAnswer: 2, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + 6. Suppose s*d - 3*d = 0. Suppose d*q + 5*y = -q + 38, -q - y + 18 = 0. Solve -4*b = -4, h - q = -4*b - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 181057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 48820179*u**2 - 1525477*u - 6 wrt u?\nAnswer: 97640358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b - 14 + 0 = 0. Let h be ((-42)\/35)\/((-66)\/(-70) - b). Let k be ((-77)\/h)\/(((-2)\/(-6))\/1). Is -11 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1644 + 1647. Solve -3*j + 9 = k*l, -4*l - 4*j + 10 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -279*m**2. Let h(d) = -d**2 + 4*d. What is h(i(r))?\nAnswer: -77841*r**4 - 1116*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1802770 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 30 - 11. Let v(s) = 4*s**2 + 233*s - 306. Let i be v(-60). Calculate the highest common factor of i and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 112 = 5*o, 2*o + d - 42 = 10. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-22)*43\/1161*-297.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 31, 43, 81, 157, 283, 471?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -15 + 41 + -35 + 59\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of 14*u**5\/5 + 66*u + 96. What is the first derivative of j(h) wrt h?\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-8)\/20*(-5)\/(-3). Let a = -0.3626 + 0.0626. What is the nearest to v in 0.1, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*p + 40 + 16 = 0. Suppose 2*i + r - 1135997 = 0, 0 = 5*r + 7 + p. What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/21? (a) 0.0406 (b) 4 (c) 24 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2752 at most as big as 2655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8*-3*20\/(-6). Suppose -3*g = g - h. Suppose -z - 4*z + g = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 + 16. Let o(n) = n + 2*n**2 + 2*n**2 - 5 - 2*n**2 - 4*n. List the prime factors of o(u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 5*x = 440, -67*q + 64*q - 4*x = -1353. What is the greatest common divisor of q and 585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*p + 53 - 2*p**2 - 90 - 3*p + 45 to the form z*p**2 + g*p + s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 43 - 41.8. Let k = -1.36 + w. Which is the nearest to -1\/2? (a) 0 (b) k (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 511, 2000, 4475, 7930, 12359, 17756, 24115?\nAnswer: 31430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -529134 and 0.1?\nAnswer: -52913.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13855.\nAnswer: 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -320410 (base 5) to base 14\nAnswer: -3ca6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 1, 0, 33, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (37992\/72)\/(1\/39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - 5*n + 1205, -16*n + 18*n - 972 = -4*a. Calculate the greatest common factor of 196 and a.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -7\/13, -1350, 0.4, 1\/3, -4\/9 in increasing order.\nAnswer: -1350, -7\/13, -4\/9, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10874, -27115, -43360, -59609, -75862, -92119, -108380?\nAnswer: -124645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 284*m + 1207. What is the remainder when y(0) is divided by 145?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22, -64, -138, -250, -406, -612, -874?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 296332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -25*r - 293 + 1257 + 286 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 4*a + 49. Let s be w(-11). Let k = 7 + -6.94. Let z = -9.06 + k. What is the third smallest value in z, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4247461 to the power of 1\/2, to the nearest integer?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 896242, 896239, 896224, 896191, 896134, 896047, 895924, 895759?\n\"Answer: -h**3 + 4*h + 896239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 78 - (41 + (24 - 29) - 57)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3648, 14514, 32602, 57912, 90444?\nAnswer: 130198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve z = 3*q + 21, 8*z - 3*z = -5*q - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5824666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*k**3 - 4*k**3 - 6*k**3 + 8*k**4)*(-4 - 2 + 5).\nAnswer: -8*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (21\/15)\/1*12\/(-14)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 7*n**2 + 9*n - 3. Let g(i) = -3*i**2 - 4*i + 2. Let m(j) = -5*g(j) - 2*k(j). Suppose 0 = 3*c + 3*q + 9, -3*q + 6 = 0. List the prime factors of m(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 20 = 28. Suppose r = 3*r - u. Calculate the common denominator of 36\/r*(-18)\/(-4) and -35\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4266\/(-1185))\/((-18)\/330).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 8:14 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1189379 is divided by 594676?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w + 9. Let u be i(-7). Let r = u - -3. Let n(o) = -2*o + 5. Suppose 399 = 32*k + 655. Let m(p) = -3*p + 8. What is k*n(g) + r*m(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/(-12)*2 - 138\/(-4). Solve o*b - 32*b = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 645 and 247680?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9*6*(-4)\/27.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 279554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes before 3:57 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x - 4*x + 3*x)*(-2*x**3 + 2*x - 2*x) + (0 + x**4 + 0)*(0 - 2 + 0) + 109*x**4 - 41 + 41.\nAnswer: 103*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(-3 + 0 + 6\/4). Let l(u) = 12*u - 5. What is the tens digit of l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3*(-30)\/(-792)*16\/12. Let p = -23\/66 + r. Suppose 30 = -3*x - 3*n, 6*x - 4*n = x - 41. What is the closest to p in 0, x, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - 12*a + 11. Let i be (-6)\/(-4) - 42\/4. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 + 3*b - 5. Let v = -43 + 37. Calculate k(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 312114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**2 - 10*h + 27. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3636, 7266, 10896, 14526, 18156?\nAnswer: 21786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + 2. Let l be (-1)\/f*2 + 6. What is the third derivative of -5*w**4 + 3*w**l + 2*w**2 + 4*w**4 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -11. Suppose -5*l = 4*y + 1 - 6, 5*y = -l + q. Solve j + y*r + 5 = -r, -3*j - 19 = 5*r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*b - 2*b - 236 = -36*b + 270 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 321422 (base 5) to base 9\nAnswer: 15808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:02 AM and 5:33 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -9*w**3 - 7*w. Let y(h) be the first derivative of -5*h**4\/4 - 2*h**2 + 1913. Give -6*k(m) + 11*y(m).\nAnswer: -m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (26 - 15 - 7)*(-66*v + 38*v + 34*v - 207*v).\nAnswer: -804*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add together 178 and -0.125.\nAnswer: 177.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7b0 - 5?\nAnswer: -7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/465 or -2022?\nAnswer: -2022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31 - 24 + 48 - 3702*w + 7.\nAnswer: -3702*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-27)\/4*(26 - 15 - 7). Let y(w) = -3*w + 1. Let a be y(10). Are a and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3. Let v(t) be the second derivative of -t**5\/20 + 9*t. Give -5*j(h) - v(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 12701293 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o**5 - 1968*o**4 - 238092*o**3 + 978112*o**2 - 738048*o = 0 for o.\nAnswer: -248, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/8180 and 18 + 3*2961\/(-486).\nAnswer: 73620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1692923124?\nAnswer: 2, 3, 7681, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -5*v**2 - 3*v - 2. Let l(i) = 6*i**2 + 4*i + 2. Let h(k) = -2*l(k) - 3*u(k). Let r = -4 + 2. What is the remainder when 22 is divided by h(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -405 divided by -3\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 + 0 - (-9 + 8 + -1). Solve w = -2*r - l - 1, 5*r = -9*l + 6*l - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 645819882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2*34\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of 0 + 0*d**4 - 10*d**2 + 0*d + 0*d**3 + 1\/42*d**7 + 0*d**6 + 1\/6*d**5. What is the third derivative of m(y) wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of -g**2\/2 - 7*g + 16. Let i be l(-6). Let n(b) = b**3 + 5*b**2 + 2*b + 7. Let m be n(-5). Sort i, -4, m in ascending order.\nAnswer: -4, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 3*h**3 - 26*h + 5. Let m(v) = -v**3 + 13*v - 2. Calculate 5*m(p) + 2*w(p).\nAnswer: p**3 + 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -41633002, -41633001, -41633000, -41632999?\n\"Answer: y - 41633003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z + 4*z - z)*(34 - 34 + 42*z) + (0*z**2 + 3*z**2 - z**2)*(2 - 7 + 0).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -19, -60, -9.2, 2, -1, 4\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1323 and 17?\nAnswer: -22491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-4)\/v**5*((v\/(v\/v**(1\/24)))\/v)\/(v**0\/v) assuming v is positive.\nAnswer: v**(-215\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2447 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -6a (base 11) to base 6.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 5*c = -10, 3*f - 8 = -0*c - 4*c. Suppose -b - 16 = -5*p + 2, -2*p + 6 = 0. Let j(s) = -s - 1. Let k be j(b). Sort f, -5, k in increasing order.\nAnswer: -5, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5262881 - 5262866 + 10525747 - 4*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -167229258 by -294.\nAnswer: 568807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**3 + 34*d**2 - 196*d + 337. Let v be t(-39). Sort 5, v, -3 in decreasing order.\nAnswer: v, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17357265?\nAnswer: 3, 5, 367, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 943692 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 221, 2, -4, 1, 5 in ascending order.\nAnswer: -4, 1, 2, 5, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 2*m - 0. Let v be (8\/((-128)\/m))\/(3\/127). Let x = v - -32. Is x greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -13*z. Let l(s) = -18 - 17 + 35 - 68*s - 75*s. Calculate -6*l(k) + 65*q(k).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -147 + (-716639)\/(-4879) - (126\/(-782))\/1.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i*i**(2\/15)*i)\/(i**(-1\/10)*i))\/(i\/(i*i\/(i*i**(-6)\/i))*i\/(i\/((i*i**(8\/9))\/i*i))))**(2\/121) assuming i is positive.\nAnswer: i**(661\/5445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 51016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + 7 + 19 + -28 - (0 + -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8047 or -72?\nAnswer: -8047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((680\/45)\/(-4) - -4) + (-9154)\/41031. Do 2\/3 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 25 = 5. Suppose 2*z = -6, o*z + 11 = c - 0*z. What is the common denominator of 55\/2 and (-26)\/c*(-4)\/(-44)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53919305?\nAnswer: 5, 11, 41, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 641 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of -2*r - 1\/2*r**2 - 6. What is d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/(-8)*-1*(-2)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-10)*m)\/(m*m*m**(-3)) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 220344\/13 or 16949?\nAnswer: 16949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 299*f + 80769. What is n(-269)?\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -39*m**3 + 36*m + 33*m**2 + 69*m**3 - 33*m**3.\nAnswer: -3*m*(m - 12)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2618029148 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10707 is divided by 10686?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12487988?\nAnswer: 2, 23, 149, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 8.1685 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -623, 0.3, 0.4 in decreasing order.\nAnswer: 0.4, 0.3, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 6 - 18. Suppose -19 = -6*b + 11. Solve 8 = -2*a + b*i, -3*i = -0*i - c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 404 is divided by 181?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -8646779.\nAnswer: -1\/8646779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 1:33 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/3 - (-2 + 0). Let x(y) = 3*y**4 + 4*y**s - 5*y + 0*y**3 - 2*y**4. Let p(g) = -g**4 - 5*g**3 + 6*g. Let l(m) = 5*p(m) + 6*x(m). Factor l(n).\nAnswer: n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -141.448239*-1\nAnswer: 141.448239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + -1. Let m be 2\/144*210\/4. Let x = 1\/16 - m. Which is the nearest to x? (a) 4 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + 2 + 0 - -1. Solve c + g = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 + -7 - 10) + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11 - -13. Let h be p\/7 + 36\/21. Let m be (-3 + 1 + -2)*-2. Solve -h*y - 2*y = -m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 178601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 2*j**2 + 19*j + 10. Let i be k(-8). Let d(m) = m**3 + 12*m**2 - 34*m - 19. Is 3 a factor of d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1186\/63371 or 0?\nAnswer: -1186\/63371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84)*-5 + sqrt(84) + sqrt(84))))) - sqrt(84)) + sqrt(84) + sqrt(84))\/(-5*(sqrt(12) + -5*sqrt(12))).\nAnswer: -11*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -t**5\/2 - 9*t**4\/2 - 9*t**3 = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 620a (base 11) to base 5\nAnswer: 230423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 - -14. Let z(u) = -u**3 + 2*u**2 + u + 2. Let s be z(w). Let q be (-2)\/s*(-4 + 4). Solve 5*p + 4*j + 16 = q, 0 = -3*j + 4*j - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 75.7 * 18.\nAnswer: 1362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qziqzqqqqizqqqqqqgz. Give prob of picking 1 g, 1 i, and 1 q.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0023 - 77.1023. Let n = v + 77. Put n, -3\/14, 3\/2 in descending order.\nAnswer: 3\/2, n, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 32353.22 litres to millilitres.\nAnswer: 32353220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - t = -2, 3*p - 9*t = -6*t + 12. Solve 10 = 5*l - 2*o, 4*l + 3*o = -p - 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 13 = -5*z - 2, w + 4 = 0. Let n = 9 - 5. Is z <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 3. Let n = 12 + l. Let g = -9 + n. Solve 3*x = 4*p + 17, -x - 5 + 24 = -g*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5531599000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of 0*s**2 - 16*s - 4\/15*s**6 - 7\/6*s**4 + 0*s**3 + 0*s**5 + 0. Find the third derivative of c(v) wrt v.\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 8*h**3 + 3*h**2 - 2*h. Suppose 1 = -2*b + 5. Is 18 a factor of u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -1103*m + 4472. Let o(g) = -5529*g + 22356. Let d(w) = -5*o(w) + 24*x(w). Find the first derivative of d(b) wrt b.\nAnswer: 1173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2097 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*o**2 - 3*o**2 - 3 - 7*o**2 + 3.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 3*a + 34. Suppose 218 = -33*g - 25*g - 420. Give s(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -3*k**3 + 3*k**2 - 5*k + 2. Let f(w) = 4*w**3 - 4*w**2 + 6*w - 2. Suppose -7*z = -35 - 7. Calculate z*b(u) + 5*f(u).\nAnswer: 2*u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v, 1 x, and 1 u when four letters picked without replacement from {m: 4, d: 7, v: 2, x: 1, u: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*k - 3*k**2 - 8*k - 5*k + 11*k - 187 - 10*k**2.\nAnswer: -13*k**2 - 7*k - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1358 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -7 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1100111000011 (base 2) in base 12?\nAnswer: 3997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 2*x**2 + 4*x - 3. Let q be v(-5). Let h be 57\/(513\/468) + 0 + -7. What is the highest common divisor of h and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*f**2 + 1572*f - 7910 = 0. Calculate f.\nAnswer: -791, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 57366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-4))**25 assuming h is positive.\nAnswer: h**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/3 + 16\/12. Suppose 13*v - 15*v - 2484 = z. Let k = v + 1807. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 143\/60 and -73\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2233220*p**2 + 5 + 2233215*p**2 - 3 - 44*p to the form d*p + v*p**2 + f and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1465 + -1443. Let n(u) = u**2 - u + 4. Let j be n(0). Calculate the smallest common multiple of 0 + 2*-1 + j and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000582505 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -166415 divided by 85?\nAnswer: -33283\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 1737141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8674634?\nAnswer: 2, 23, 188579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/39 and 98\/132165.\nAnswer: 1718145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.244 - 2.244. Is -10 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -5*f + 1 + 2*f - 4*f**2 - f**3 - 4. Suppose x = 3*b + 4, 5*x = -53 + 28. Give v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 3*k = -0*m - 42, 34*k = 32*k + 10 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -43110*j - 7190*j**2 - 214245 - 3*j**4 - 320*j**3 + 4048*j - 2*j**4 - 27178*j.\nAnswer: -5*(j + 9)**2*(j + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (42\/7)\/12 + (-18)\/(-4). Let t(o) = 2*o**2 - 8*o + 6. Calculate t(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that 0 - 3\/7*n**4 + 3\/7*n + 3\/7*n**2 - 3\/7*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -174137, -348300, -522497, -696734, -871017, -1045352?\n\"Answer: -u**3 - 11*u**2 - 174123*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -2*m - 6. Let q be s(-2). Let h be 29\/q + (-30)\/(-20). Let x = h - -18. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5269 + 4946 = 19*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r\/r**(-2\/13))\/r)\/r**3*((r*r*(r\/(r**(-2\/3)*r))\/r)\/r)\/(r*r*((((r**(-1\/3)\/r)\/r)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2912 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -156*y**3 + 147*y**3 + 331*y**3.\nAnswer: 322*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1.4405 times -0.83?\nAnswer: 1.195615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -14733*z. Let v(t) = 2*t**2. What is n(v(w))?\nAnswer: -29466*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93678 is divided by 30455.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -2*x + 1. Let t(c) = -c**2 - 3*c + 1. Give -3*g(q) + 2*t(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20061\/10 + -2010. Find the common denominator of j and -73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 75023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/(-21))\/((-1)\/((-6)\/(-14)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/84 and -49\/3460.\nAnswer: 72660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*t + 2*t - 3015*t**3 + 1448*t**3 + 1569*t**3 - 5*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 411 is divided by 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 7 + 0)*(20*v - 38*v + 2*v).\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 4\/32921?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-312)\/(-16)*4\/2. Let q = 84 - y. Suppose q = 4*v + 13. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 812829529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1571, -2280, -2989?\nAnswer: -3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -20226803*g**2*p**2 + 77235668*g**2 wrt p.\nAnswer: -40453606*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 301596 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 - 7 - 8 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*o - 15*o = 3, 0 = 5*j - 2*o - 497. Calculate the greatest common divisor of j and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 5*o = 8, o + 0 = -2*n + 2. Solve -j = 3*g - 7, 5*g = g - n*j + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (26 + -167 - -123) + -31 + 2\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 300\/75*(-5)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 110100011000110 (base 2) to base 4.\nAnswer: 12203012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, j: 7, o: 1}. Give prob of picking 2 j and 1 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2913 is divided by 1432.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 + 17*u + 31. Calculate k(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*f = -32*f. Solve 5*u = 4*j - 21, -5*u + 5*j + 1 - 26 = f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*j = 2*x + 9*j + 360, -535 = 3*x - 4*j. What is the remainder when (-1)\/8 + (x\/(-8) - 7) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-24)*1\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from {l: 15, k: 5}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 39.9 - 40. What is the smallest value in -4\/3, f, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26476 + 3237 = 5*z - 4*w, 4*z - 23771 = 3*w. List the prime factors of z.\nAnswer: 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -3*v - o - 233, -v - 5*o = 67. Let w = v - -167. Suppose 2*d - w = -3*d. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 12 = 2*w. Find the third derivative of 17*x**2 - 19*x**2 + 6*x**w - 2*x**6 wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*n**2 - n**3 + 3150 - 34*n - 3150 + (-n - n + n)*(-5*n**2 + 3*n**2 + 3*n**2).\nAnswer: -2*n**3 - 5*n**2 - 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - -7. Let p(k) = 251*k - 1. Let i be p(1). Let f be i\/4 - (-3)\/6. What is the greatest common factor of f and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14821, -29643, -44465, -59287, -74109?\nAnswer: -88931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**3\/5 - 403332*o**2\/5 + 9671328*o.\nAnswer: 3*o*(o - 134324)*(o - 120)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 3*f. Let b(a) be the third derivative of -135*a**4\/8 + a**3\/6 + 1124*a**2. Determine s(b(j)).\nAnswer: -1215*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -5*y**2 + 12*y + 21. Determine z(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 101 = -97, -5*t - 2*o - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -24*c - 246. Let j be d(-10). Let w(r) = 5*r - 5. Let i(g) = 0*g - 2 - 2*g + 4*g. Determine j*w(o) + 14*i(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 169 - 747. Let h = -507 - k. Are h and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z**4 + 2*z**4 - 4*z**4 + (0*z + 2*z - 3*z)*(-1 + 1 - z**3) + 2*z**2 + 9*z - 11*z - 13359*z**4 + 13348*z**4.\nAnswer: -12*z**4 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 520.5 + 42558432504.\nAnswer: 42558433024.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17551 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*m = 916429 - 3054632. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9058690499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 + 3*g**2 - 3*g - 1. Suppose x + 16 = d + d, -x + 14 = 4*d. Let z(m) = -2*m**2 - 2*m**2 - m**3 - m**2 - 4 - m**2. Let u be z(x). Give k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/16216656 and 109\/32433312.\nAnswer: 32433312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x**2 + 0 + 0)*(0*x**2 - 2*x**2 + 3*x**2) + 1018*x**2 + 4*x**4 - 1023*x**2 - x - 17*x**4 to the form c*x + s*x**2 + b*x**3 + w + j*x**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*h + 12*h + 16 = 341 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -26*f**2 + f - 35. Let c = 30 + -29. Let n(b) = b**2 + b. Let p(z) = c*n(z) - y(z). Differentiate p(m) wrt m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or -9717\/15115?\nAnswer: -9717\/15115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -197\/390 and 41\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4241738.439 - 4244605. Let v = -2869 - n. Round v to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 40, 45, 50, 55?\n\"Answer: 5*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, 0.219, 0.3, -5.7, -1 in descending order.\nAnswer: 0.3, 0.219, -2\/3, -1, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**3 + 5*s**2 - 3*s - 6. Give v(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -82*c + 80*c + 29*w - 25*w, 3*c - 4*w - w = -7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2125102 (base 7) to base 4\nAnswer: -333021301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -21 + 22. Let a(m) = r - m**2 - m + 2*m**2 - 2*m + m. Let u be a(3). Solve 6*j = 2*j - u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 + -1)\/((-4)\/2). Suppose -10 = -2*c - v*c. What is the derivative of 2*j**2 - 2 - c*j + 5*j wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:22 PM and 2:02 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*i + 19*i = -16*i - 1524 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1111010211 - -21?\nAnswer: 1111011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2313 divided by 771\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -875*v + 7602. Let l(h) = -23*h + 200. Let k(g) = -77*l(g) + 2*y(g). List the prime factors of k(15).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 426050 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = -o + 4*b, 4*o - 5*o - 2*b = -53. Suppose -o*v + 37*v + 32 = 0. Solve -5*u = v - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = j - y - 10, 5*j = -4*y - 5 + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5 + -7. Let x be (-2)\/4*b + 6. Suppose 10*y = x*y. Solve q + 3*q + 2*j + 20 = y, -3*j = 5*q + 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/135? (a) -2 (b) -0.3 (c) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -2*m - 802. Suppose -19 = -6*y + m. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14531 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w**21\/w))**(-12\/5)\/(w\/w**11*w**(-6\/11)*w*w))**(1\/2) assuming w is positive.\nAnswer: w**(1489\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-4)\/(((u**(-1\/2)\/u)\/u*u*u)\/u))\/((u*u\/u**(12\/11)*u)\/(u**24*u)) assuming u is positive.\nAnswer: u**(453\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.3 and -130059432.\nAnswer: -130059432.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 21 + (-22 - (-77)\/11) - 8\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15296 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 79 + (-8 - (2 + -2) - -2) + -72 + 69?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -54.2 - -53.973. Let y = 0.297 + g. Let d = 0.2 + 0.8. Which is the closest to d? (a) -0.1 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 28.5 - 28.6. What is the third smallest value in -12, 1\/4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*5*(sqrt(19) + -1 + -5)**2*-2.\nAnswer: -720*sqrt(19) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 - 3*v + 2*v + 0)*(1 + 5 - 4)*(-2 + 4 + 0) to s*v + t and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s - 45 = -9*s. Suppose r - 4*r = 0. Suppose r*t + 4*t - 8 = 0. Solve -4*w - 5*p - 25 = s, -t*w - 2 = -2*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4617) - sqrt(4617)*2 - -2*sqrt(912))\/(sqrt(33)\/(sqrt(275) + sqrt(275) + -1*sqrt(275) + sqrt(275) - sqrt(275) - sqrt(11))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 - 2)\/((-4)\/(8\/2)). Suppose -5*l - c = -450 + 42, 2*l + x*c - 171 = 0. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -j - 0*j + 640, -5*b + 20 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -48936 + -132256.\nAnswer: -181192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - x + 2*x - 40, -2*y + 33 = -3*x. Let u(w) = 6*w + w - 4*w - y + 1. Let t be u(4). Solve -t*v + 12 + 0 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83769 is divided by 13340?\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 4*n + 33. Let a = n - -5. What is the lowest common multiple of 6 and (8\/a)\/((-16)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56328746 is divided by 97963.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*3\/30)\/(-11*9\/(-330))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*o + 16*o = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 9*j + 88. Let z be l(-7). Solve p - 3*h - 8 = 0, -4*p + 5*h + 0*h + z = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60648 and 183792.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -195, -219, -253, -303, -375, -475?\n\"Answer: -r**3 + r**2 - 20*r - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -698 minus 26?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -533.9381 rounded to the nearest ten?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 236097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 217962, 435945, 653938, 871941, 1089954, 1307977, 1526010?\n\"Answer: 5*b**2 + 217968*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 83 = -2*u, 2*u = c - 5*c + 332. Suppose 11 = -2*a + c. What is the highest common divisor of 24 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 96 and 1888?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 7548246929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 233461549 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 151, 284, 411, 526, 623?\n\"Answer: -s**3 + 3*s**2 + 131*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1045, 4183, 9415, 16735, 26137, 37615, 51163, 66775?\nAnswer: 84445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/(-170)*(-6238)\/(-28071)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 141960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1, 0.2, 360?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 403329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/3236 and 101\/368.\nAnswer: 297712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32380 is divided by 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 - -2224?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -12\/5 and 55\/676839?\nAnswer: 3384195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (17*2)\/((-10062)\/(-20124))*(1\/2)\/1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i**2 - 3*i. Let o be c(2). Suppose 10*r = 2*v + 6*r - 1038, 0 = -r - 3. Let k = 517 - v. Solve -k*b + 0 = 5*z + 25, 0 = -b - o*z - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 260.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - 3*n - 77 - 104, v + 3*n - 29 = 0. Let o be (-1)\/(-4) - v\/(-4). Suppose -4 = -w + o. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -7339, -7332, -7321, -7306, -7287?\n\"Answer: 2*w**2 + w - 7342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 460, 1040, 1620, 2200?\n\"Answer: 580*l - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4045268*o**5 - 283937*o + 2 wrt o?\nAnswer: -80905360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -3*o**2 + 23*o + 13. Let z be r(8). Sort -0.03, z, -0.1, -1 in increasing order.\nAnswer: -1, -0.1, -0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 AM and 11:50 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 5*p + 8. Let t(f) = 2*f + 3. Let x(o) = -4*g(o) + 11*t(o). What is the remainder when 36 is divided by x(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-3)\/(v**(-4\/5)*v))**(-26) assuming v is positive.\nAnswer: v**(416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 62 and 652?\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3682 - 3637. Solve 0 = 19*o + 26*o - f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18 + 1069*j**3 - 27 + 512*j + 9 wrt j.\nAnswer: 6414*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -116*b + 125*b = 0. Solve 4*l + 8 + 0 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*(2\/10)\/(80\/(-1000)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -v**5 - 818*v**4 - 221943*v**3 - 19672378*v**2 + 81607612*v - 61712472 = 0.\nAnswer: -274, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) 0.03 (c) 2\/13 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of 0*r + 0*r**3 + 4*r**2 + 0 - 1\/12*r**4. Let p(l) = -l. Calculate n(g) - 3*p(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25 - -73. Suppose 252 = 4*s + h. Suppose r + 5 = 0, -4*t = 3*r - 0*r + s. Which is smaller: t or -8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -12\/7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 106 - 26732?\nAnswer: -26624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be 50\/(-15)*9\/(-6). Suppose 4*n - 32 = f*p, 2*p - 3*n + 8 = -2. Let s be 3\/((-2)\/(p\/6)). Solve j - s = 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from qxqvxoc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 2*g**3 - 95*g**2 + 49*g - 86. Let d be (0 - 10\/(-6))*6. Suppose 2 - d = -4*r. Calculate the smallest common multiple of r and u(47).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/3)\/((-68)\/12). Let f = -371 - -1114\/3. Sort f, h, -2 in increasing order.\nAnswer: -2, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3362 (b) -26\/205 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/18 - 13\/18. Suppose n + 21*a = 26*a + 29, 5*n - a = 1. Let b be 2\/8 + (-3)\/2. What is the closest to v in b, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + (-4 - -7) + 11 + -4 + 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 1008 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 19 = m, 92*j - 97*j = -22*m - 63 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 455 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 212148951 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 396612 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: List the prime factors of 8689.\nAnswer: 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 20a6a76 (base 11) in base 3?\nAnswer: 20221220211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the third derivative of -m**5\/30 - m**4\/24 - m**3\/2 + 9*m**2. Let l(q) = 1. Let a be (-6)\/(-10) - 2\/(-5). Let k(v) = a*t(v) + 5*l(v). What is k(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((sqrt(700) + 1 - sqrt(700)) + 1 - ((sqrt(700) - sqrt(700)*3) + 0)))**2 + 2.\nAnswer: 2000*sqrt(7) + 70102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.524 - 0.4815. Let u = h + 4.9575. Which is the fourth smallest value? (a) 4 (b) 15 (c) -0.2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 458309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 - 2*j**2 + 4*j - 3. Let y be v(2). Suppose -2*b = 3*x - 0*b + y, -b - 4 = 2*x. Let g be (4 + 121\/(-33))\/(-2 - -1). Is x at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -35\/3 in 4, -0.5, 93, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 6475392 divided by 98112?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -4*o**2 + 7*o - 1. Give t(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -18608*l - 1060719. Determine j(-57).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(7\/2)*p\/p**(2\/29))\/((p\/((p**11*p)\/p))\/(p**(6\/5)\/p)))**(-3\/2))**(-33) assuming p is positive.\nAnswer: p**(420057\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/((-314)\/(-78) + -4). Let z = 481 - 436. Suppose -z + n = 6*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*t + 3*t + 7*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 62380\/27 or 2309?\nAnswer: 62380\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 43429988.60301 + -3.\nAnswer: 43429985.60301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1998006253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -5*a**2. Let b(h) = -45*h**2 + 23*h**2 + 21*h**2. What is q(b(s))?\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 2*i - 3*i + 8 = 0, 0 = 2*y - i - 4. Suppose -6*d = -4*d - y. Suppose -5*b + 2*h + 11 = -d, b = 3*h + 13. Solve -o - b = -0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 2*w. Let d = -0.1 + 0. Which is the second smallest value? (a) d (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/33)\/(-2)*2244\/612?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the third derivative of -o**5\/60 - 5*o**4\/24 - o**3\/3 - 2*o**2. Let k be n(-5). Calculate the lowest common multiple of 9 and (0 - -6) + 2\/k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -45\/7 (b) -3 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*b + 4*b - 3*z = -4*b - 7*b + 3, -2 = 17*b + 2*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1573) + 0 + sqrt(1573) + sqrt(1573) + -1 + sqrt(325) + 3)**2.\nAnswer: 152*sqrt(13) + 18776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 + 4*c**2 + 18*c - 7. Suppose r + 1 = -h, -146 + 181 = -5*h. Determine a(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -18*p**2 + 404*p - 2248. Give d(13).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 263 a factor of 439253395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -6.3 equal to -15.731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 9, m: 11}. Give prob of sequence gg.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 3. Let p be (-79 - a)\/((-6)\/(-525)). Round p to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 322318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 86541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0005909840354 rounded to 5 dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 30 = 5*k - 4, c + k = 6. Suppose -8*f - c = -31. Solve -1 = f*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 58 + -57.5. Sort 2\/9, f, -0.8 in descending order.\nAnswer: f, 2\/9, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -230*2*(-3)\/(-15). Let z be j\/(-16) - 3 - 3. Which is the smallest value? (a) z (b) 1\/11 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*n - 12*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -6 + 9285148?\nAnswer: 9285142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 3*r - 2*m, 2*r + 4*m + 2 - 18 = 0. Suppose -q + r*q + 39 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 + (-202)\/(-70))\/((-4)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 - (5\/20 + 49034\/(-40)). Suppose j - 1230 = 2*j. Let u = j + a. Calculate the common denominator of 93\/4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the second derivative of f**3\/2 + 9*f**2\/2 - 822*f. What is b(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - 2 - (1 + (7 - 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -389, -748, -1111, -1478, -1849?\nAnswer: -2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 - 5*o - 2. Suppose 0 = k + 4*h - 21, -h - h = -8. Suppose -8 = 7*z - k*z. Determine a(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-6))\/(((-90)\/10)\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19778822 and 5264?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 26*f**2 - 65*f - 31. Let r be u(21). Round r to the nearest ten.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 16 + (-106 - (-4 - (-7 + 32)) - -27).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2006.3 - 1928. Let c = -87 + b. What is c rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z + 9. Suppose q = 3*c + 3*q + 312, 5*c = 2*q - 520. Let p = -114 - c. Let x be 0\/(1\/(-5) - (-18)\/p). What is b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u**2 - 59440*u + 654324 = 0.\nAnswer: -14871, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -661, -1526, -2391, -3256, -4121?\nAnswer: -4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 90*l - 156*l - 169*l - 69*l to p*l + r and give p.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 3.4602 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.13 + -4.87. Let r = -0.988 + 0.656. Let q = r + 0.632. What is the nearest to 0.1 in b, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9 and 417042.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 45418*u - 68 = 2*a + 45420*u, 5*a + 4*u + 136 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 + -3)\/(7\/(-5) + 1). Is 29 a factor of 9\/6 - (-825)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = d - 3*v, -6*v = -2*d - 7*v + 20. Put 1\/27, -0.5, d in ascending order.\nAnswer: -0.5, 1\/27, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let u = -6 + 10. Let o = u + -4. Let b = -16 + 11. Put b, o, 2 in decreasing order.\nAnswer: 2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 - 3*k + 1. Let r be l(-3). Let a = 0.0445 + 2.2555. Let z = a - -2.7. Sort -0.1, z, r in descending order.\nAnswer: z, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q. Let k be c(-6). What is the highest common factor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 102907 and 1358287?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 + 6*o - 6. Calculate r(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 7 + (-16 - (-16 + 6)). Sort 39, u, -59 in descending order.\nAnswer: 39, u, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14924\/33124 - (25\/35)\/5?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1785 + 24133?\nAnswer: 22459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dddaaadada. What is prob of sequence aaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1296.09967589 - 1296.1. What is p rounded to 6 dps?\nAnswer: -0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*g + 82*g = 0. Let z be (246\/287)\/(g + 1 + 1). Determine a, given that 1\/7*a**4 - 2\/7 + 1\/7*a**2 - 3\/7*a**3 + z*a = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 84 = -p. Suppose m - 6 = -p. Let k(s) = -s + 3. Give k(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**3 + 1. Let i(y) = -4*y**3 - 9*y**2 + 8*y - 17. Let g(s) = -i(s) - 5*t(s). Let q be g(8). Solve 2*n + n - q = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 2*j - 2. Let v(y) = -5*y + 5. Calculate -8*q(n) - 3*v(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48487.\nAnswer: 48487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1437883?\nAnswer: 1437883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2765, -22515, -76119, -180503, -352593, -609315, -967595?\n\"Answer: -2821*r**3 - r**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6082*f**2 + 173*f - 6102*f**2 + 10*f**3 - 173*f + 1 to the form b + r*f**3 + p*f**2 + h*f and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -13347 divided by -4449?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.2369 and 8.040154?\nAnswer: 8.277054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 136*q**5 + 19587*q**3 - 14*q**2 + 2038.\nAnswer: 8160*q**2 + 117522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) 1\/230 (c) -3 (d) 0 (e) -866\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 58 + -58 - (3 + (6 - (-3 - -6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w**3 + 5 - 2 - 5 + (4 - 3 + 0)*(-4*w**2 - 3*w**3 + 4*w**2) - 25*w**3 - 132*w + 132*w.\nAnswer: -30*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 2*c**3 - 3*c**2 + 2*c + 2. Let q(i) = -10*i**3 + 16*i**2 - 11*i - 11. Calculate 2*q(z) + 11*v(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1557425\/4 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 309, -909, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 29989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 5*b - 28, 2*q = b - 29 + 33. Suppose 2*n + 3*i - 11 = 0, 4*n + 8 - 27 = -3*i. Let f be 0 + 6\/3 + n. Put 1, f, b in descending order.\nAnswer: f, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*j + 127 = 78 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 2*o**3 - 14*o**2 - 15*o - 4. Calculate the lowest common multiple of 125 and p(8).\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 38417*o**4 + 805*o**3 - 4*o**2 - 2018407*o - 1 wrt o.\nAnswer: 922008*o + 4830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 25702, 25708, 25714, 25720?\n\"Answer: 6*f + 25696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2383*o**3 + 3605*o**3 - 2076*o**3.\nAnswer: -854*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -36*g**5 - 43*g + 70*g**5 - 22*g**5 + 15*g wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-213)\/(-9))\/((-1)\/(-3))*6. Let j = 426 - c. Solve 5*y + 18 + 7 = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -431 + 1526525?\nAnswer: 1526074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 494717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-363)\/(-21) - 4\/14. Suppose 0*n - 3 = -n. Suppose -2*t = -t + 5, -3*t = 5*o + 5. Solve -v = -n*i - o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - 4*f**2 + 3*f - 4. Let x be l(4). Solve x = u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*k**2 - 16*k**2 + 4 - k - 25*k - 18*k**3 = 0. What is k?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 51432, 51420, 51408, 51396, 51384, 51372?\n\"Answer: -12*n + 51444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*m*w**2 + 151927*m + 10*w**2 + 43489*w wrt m.\nAnswer: -2*w**2 + 151927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*l**3 + 259*l**2 - 260*l**2 + 2*l**3 + (-3 - 2 + 4)*(-6 + 6 + 6*l**3) to the form u*l**2 + b + c*l**3 + n*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 divided by -22513.\nAnswer: -21\/22513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3 + g**2 + 3435*g + 0 - 3440*g. Let i(p) = p**2 - 4*p + 3. Let b be i(4). What is a(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 3*j. Let d(g) be the first derivative of 4*g**3 - 2*g - 50. What is d(y(c))?\nAnswer: 108*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*a**2 + 46*a + a**2 + 50*a + a**2 - 3*a**2 - 2 to the form y*a**2 + o*a + g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (110\/45 - 2) + 65\/9 + -7. What is the second smallest value in -105, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -0*x - 138. Suppose -3*n - 3*c = -51, 2*n + 81 = 7*n + c. What is the remainder when x is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -22*v**2 - 29*v**2 - 22 - 32*v**2 + 7*v + 76*v**2 wrt v?\nAnswer: -14*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 12*u**2 + 22*u - 3. Let o(z) = -25*z**2 - 44*z + 5. Let c(x) = 5*b(x) + 3*o(x). Find the second derivative of c(a) wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35*l - 13125 + 13125 to d + c*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jsxsssdyjsxyjsvyjyjy. What is prob of picking 1 d and 1 x?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-4257)\/473*13\/3\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -445.4218271 to 2 decimal places.\nAnswer: -445.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 2\/108)\/((-7120)\/566040 - 206\/477).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -7*i + 2*h - 1276, 5*h + 10 = 0. Let o = i - -480. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**2 + 11*f. Let v(t) = -t**2 - 119*t + 294. Let o(q) = 2*u(q) - v(q). Determine b, given that o(b) = 0.\nAnswer: -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y - y + y + 0*y - 62*y - 12*y + (6 - 6 - 6*y)*(-2 - 5 + 2).\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s\/s**(2\/3)*s**(-2\/7)*(s**(-1\/4))**(-20) assuming s is positive.\nAnswer: s**(127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -9422*h = -3879*h - 698418 for h.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 10 - 13*n**2 - 3 + 32*n**2 + 0 - n. Is z(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.4 - 1.448. What is d rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**3 + 28*d**2 + 559*d - 10865. Calculate b(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 3*t**3 - 17*t**2 + 14*t - 15. Let d be n(5). Suppose 0 = -4*l - 3*p + 3796, -d*l + 7*p + 4768 = 5*p. What are the prime factors of l?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -468*g**3 - 668*g**3 - 4455*g**3 - 1596*g**3 + 236*g**3.\nAnswer: -6951*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 + 10. Let p(l) = l**2 + 4*l - 6. Let h be p(-5). Let b be (-2727)\/(-808) - (h - 22\/(-16)). Solve 4*o + 4*i = 6*o - 4, b*o + f*i = -4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -d**2*k**3*p + 6*d**2*k**2 + 251*d**2 + 24500*k**3*p + 7*p wrt k?\nAnswer: -6*d**2*p + 147000*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 486 and 5886.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:27 PM and 1:08 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**2 + 4*a - 5. Let f be i(-5). Let z(w) = 5 - w**2 + 0*w + 0*w - w**3 - w. Calculate the remainder when z(f) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1595\/624 - -10\/39. Let l be (5\/(-1) - -7) + (-25)\/16. Let k = l - s. Find the common denominator of -69\/8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*d - 5*d + 224. Suppose -6*o - d*o = -497530. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 + 17*f**2 - 16*f + 8. Let o be g(16). Suppose -32*t + 36*t = o. Let b be ((-1)\/(-2))\/(1\/8). Solve t*l - b = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 7 = 5*j + 4*r, -5*r = j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1 smaller than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 137\/41690 and -133\/22740.\nAnswer: 250140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 49 + -47. Let x be (1 - -1)\/(h*(-3)\/9). Is (-1167)\/(-2) + x\/(-2) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*c**3 + 107324*c**2 - 214654*c + 107328 = 0. What is c?\nAnswer: -53664, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = -3*q + 6. Let d be 2\/6*0\/(3 + q). Suppose 0*p - 5*p - 180 = d. What is the common denominator of p and -17\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -20 (b) 599\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of -7*g**4\/12 - 3*g. Let y(p) = -3*p. Calculate y(j(m)).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 - 4*d**2 - 5*d + 1. Let x be g(5). Let s be 1*(-2)\/2*x. Let i be (-4)\/(-6) + 6\/(-9). Is i at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*x - 8816 = -486*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6 - (3 + 17 + -7). Is 4 + (l - -14 - -11852) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -575 + 83. Is l a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 547689 times -1558\nAnswer: -853299462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -267 + 285. Suppose 52 = 2*z - 2*f, -z + 68 = 3*z + 5*f. What is the least common multiple of z and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqj when three letters picked without replacement from {j: 6, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the third derivative of r**5\/30 - 146*r**2. Let f(h) = -21*h**2 - 4*h. Let t(m) = -22*m**2 - 5*m. Let v(w) = 5*f(w) - 4*t(w). Determine s(v(c)).\nAnswer: 578*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be 38\/(-14) + (-1 - 1)*-1. Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*u**5 + 17274*u**4 - 14*u**3 + 39*u**2 - 10*u + 124 wrt u?\nAnswer: -120*u**2 + 414576*u - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16292 - 16293.3654. Let b = -1.36 - h. Round b to four decimal places.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36\/(-1)*(-15 + 14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 135, 239, 333, 411, 467, 495?\n\"Answer: -d**3 + d**2 + 108*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/(s**(4\/5)\/s)*s)\/(s\/((s**8\/s)\/s)))\/(s*s**(1\/19)\/s)**(-36) assuming s is positive.\nAnswer: s**(959\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 13*o**3 - o - 1. Suppose 17*x - 170 = -0*x. Suppose -4*c = 3*v + 23, -2*v = 3*v + c + x. What is i(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -0.24939 (c) 3 (d) -1\/7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 700492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -229*l - 20. Let b(s) = -459*s - 35. Calculate 4*b(a) - 7*h(a).\nAnswer: -233*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes before 2:51 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of -69*o**8\/7 + 2*o**4\/3 + 5*o**2 - 858*o. What is the third derivative of d(s) wrt s?\nAnswer: -66240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the second derivative of 2*r**3\/3 + r**2\/2 + r. Let t(y) = -11*y - 2. Let p be 7 + 0 - (-8 - -6). Let f be -1*2*p\/6. Determine f*t(w) - 8*o(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 7, l: 6}. What is prob of picking 4 l?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.7 + 210.\nAnswer: 210.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-7)\/21)\/((80\/360)\/((-44)\/(-12)))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - 38\/4)*(4 - 6). Let c = k + -7. What is the tens digit of c*3 - 1 - (-24)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -50311+0.7\nAnswer: -50310.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 + 9*g**2 - 3. Let b be i(9). Let f(y) = -9*y**2 - 3*y + 2. Let d(m) = 8*m**2 + 3*m - 2. Let o(j) = -7*d(j) - 6*f(j). Calculate o(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52160634.\nAnswer: 2, 3, 43, 67391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 2*b. Let w = b - -12. Let q be (-4)\/14 + w\/42. Sort 1, 4, q.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**14)**(-14\/9)\/(g**(-3\/10))**42 assuming g is positive.\nAnswer: g**(-413\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -15*v + 300. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + v - 4 = -2*t, 0 = -2*v. Let q be (186\/(-10) + t)\/(24\/180). Let b = 1127 - q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -122, -132, -148, -170, -198, -232?\n\"Answer: -3*o**2 - o - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*(-3)\/(-12)*10. Let s = v - 5. Let k be (s + 0)\/(2 - 1). Which is the second biggest value? (a) 4 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*c + 14*c = -296. What is the first derivative of 3*d**2 - 87 + 5 - 3*d**2 - c + 79*d**3 wrt d?\nAnswer: 237*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -3*c + 3 + 0*c**2 + 0*c**2 + c**3 - 3*c**2. Let v = 6 - 2. Let l be v*-3*2\/(-6). Calculate i(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -177098 + 654602 = 72*i. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3 - 5 = 0. Let r = 40 + -36. What are the prime factors of r\/(s\/99) + -4?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -3144 divided by 6\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 414*b**2*m**2*u**3 + 3*b**2*m*u**3 + 12*b**2*u**3 - 8*b*m**2*u**3 - 15*m*u**3 wrt m.\nAnswer: 828*b**2*u**3 - 16*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11, -62, -125, -206, -311?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 = 5*r + i - 40, -5*r - 10 = -5*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 1 + 7 = 0. Solve -4\/7*d**4 + 0*d + 0*d**p - 2\/7*d**3 + 0 - 2\/7*d**5 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (2*(sqrt(272) + 0 + sqrt(272) + sqrt(272) + sqrt(272) + -4 + sqrt(272)) - (1*(sqrt(272) + -2) + -3)))**2.\nAnswer: 144*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 126851659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yt when two letters picked without replacement from {r: 6, t: 1, z: 2, j: 2, y: 4, m: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, -26342 in decreasing order.\nAnswer: 5, 4, -26342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 638300 to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**3 - 8*c**2 + 11*c + 18.\nAnswer: -(c - 2)*(c + 1)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {v: 7, d: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 66*n**2 + 31*n**3 - 65*n**2 + 10*n**3 + (-4*n + 3*n + 2*n)*(n**2 - 3*n + 3*n).\nAnswer: 42*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81626?\nAnswer: 2, 40813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-16))\/((35\/7)\/(-20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is af39 + 2a?\nAnswer: af63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 0*j = -230. Let u = j + 60. Calculate the greatest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1008927.448 to the nearest 10000.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 11*u**2 - 18*u**2 - 24*u + 27*u**2 + 2 + 2 as b*u + z*u**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/462 and 95\/252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**2 - 9*g - 17. Let l be m(11). Suppose 11 = l*v + 4*q, -3*v = -v - q + 6. Calculate the remainder when (49 - 56)*(9\/v - -1) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = -3*i + 18, -2*i + 0*i - 8 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b**2 + 2*b**2 + b**2)*(2 - 2 + 4) + (2*b - 7*b + 3*b)*(11*b + 9*b - 5*b).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, -2\/7, -33, -0.04?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of 63*v**6\/10 - v**4\/6 - 83*v**3\/6 + 2*v**2 - 598*v. Find the second derivative of a(x) wrt x.\nAnswer: 2268*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 85.42822 minutes?\nAnswer: 5125693200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -2439 + 344. Let x = n - -424. Solve -x*s - 5 = 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 891 and 596651?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -23 + 41. Suppose 4*n = 7*n - 3*l - 33, -8 = -2*n - 5*l. What is the greatest common divisor of y and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/(c\/(c**(-6\/11)\/c)))\/(c*c*c\/(c**(-1\/4)*c*c*c)*c*c*c))\/(c*c\/c**(5\/3)*c\/(c*(c*(c*c**14)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(1435\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 892?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -95 = 22*u - 44 - 337 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqx. Give prob of sequence xq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-17)\/34)\/(2\/20). Let b be ((-1962)\/390 - 4\/(-5)) + 0. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of -166*w**4 + 3841*w**2 + 4625*w + 1. What is the derivative of f(h) wrt h?\nAnswer: -3984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cyxykytncyxyn. Give prob of picking 2 y, 1 c, and 1 n.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9847*m + 156 + 8919*m - 159 to the form k*m + o and give k.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17846, 35663, 53478, 71291, 89102, 106911?\nAnswer: 124718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2 (c) 231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(21*(-2)\/9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -11*h + 0*h**3 + 5 + 11*h**2 - 18*h**2 + h**3. Calculate f(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1836.1247 + -1836. Round u to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11700904 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 11514 (base 7) to base 6\nAnswer: 21520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -624435*c**3*i - 5*c**2*i**3 - 182*i**3 - 42*i**2 + 9*i - 17 wrt c.\nAnswer: -1873305*c**2*i - 10*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 476, 1188, 2134, 3314, 4728, 6376?\n\"Answer: 117*v**2 + 361*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 52 - 60. Which is the closest to 1\/4? (a) 1\/2 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 - 1. Let c be n(-1). Let z = 323 + -1669\/5. Find the common denominator of z and c + 57\/(-4) + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, 182 in decreasing order.\nAnswer: 182, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 - 6 - (48\/42 - (-1499)\/189).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -29 - -29. Suppose z = -t - 5*t + 606. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from ucccueluacclalcclcc.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -14535 by -239.\nAnswer: 14535\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the third derivative of -27*o**6\/20 - 13*o**5\/60 + 35*o**3\/3 + 2383*o**2. Find the third derivative of y(b) wrt b.\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6393953*h**3 + 9195546*h**2 wrt h.\nAnswer: 38363718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 + 50*h**2 - 495*h - 143. What are the prime factors of y(31)?\nAnswer: 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5839609 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10143 or -9161?\nAnswer: -9161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.45 less than -0.347?\nAnswer: -0.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -0*a - 3*a. Let f(k) = 9*k**2 - 7*k + 16. Let v be f(0). What is the highest common factor of a and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**2 + 10*l - 11. Let w be g(-10). Let u = -12 - w. Put u, 1, 4 in descending order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that 4*z**3 + 2176908*z**2 + 13061340*z + 19591956 = 0.\nAnswer: -544221, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -5*c - 5*l, -4*l - 12 + 15 = -c. Let i be (((-64)\/(-8))\/(-2))\/(1\/c). Suppose 3*x = 4*x - 132. What is the highest common divisor of i and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -639 + 679. What is the greatest common factor of 2360 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -6*q - 50. Give m(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 AM and 9:57 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + 11 + -4 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 0 = -3. Let i(d) = 17*d + 25. Let t be i(7). Let n be (-1 + 148\/t)*12\/(-8). Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -2*n**2 + 4*n - 3. Let i be y(2). Let c = i - -9. Calculate the least common multiple of c and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -6386*s - 157. Let a be y(-21). Suppose 29*p - a - 227130 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -21.39 + -13.51. Let d = -33.9 - t. Let s = -0.02 - -4.02. Which is the closest to 0.1? (a) s (b) -1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 5, p: 4, t: 7}. Give prob of picking 1 p and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of -n**6\/360 - 7*n**4\/12 + 41*n. Let m(d) be the third derivative of x(d). Let f(v) = -v**2. Give f(m(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3}. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -161, -306, -463, -638, -837, -1066, -1331, -1638?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 37*c - 254. Let y be l(7). Suppose -10*w + 6*w**4 + 30*w**3 + 14*w - 6*w**2 - 2*w**y - 32*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the first derivative of 37 - 1\/14*d**4 + 0*d**2 - 8\/21*d**3 + 0*d. Factor z(f).\nAnswer: -2*f**2*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -26 + 10382027?\nAnswer: 10382001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 330\/(-15)*-7*(-26)\/91?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.0195 * 131.\nAnswer: -1050.5545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8883952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/13 (b) -2 (c) 15\/4 (d) -0.1 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes before 6:02 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 6.4093285 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 16, -1\/3, 3\/8, -18?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.1 + -0.2. Let y be (135\/540)\/(7\/24)*(-28)\/6. What is the fourth smallest value in y, 0.2, -3, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 51)*(346*v - 168*v - 165*v) + (3*v + 0*v - v)*(1 - 2 + 2) - v + v - 2*v - v - 4*v + 4*v.\nAnswer: -664*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -76 - (25 - (9 - -77))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 - -3 - (4 - 1). Is 50 - 1 - v\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -32, -117, -300, -617, -1104, -1797?\n\"Answer: -6*l**3 - 13*l**2 - 4*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l + 23 = 3*p - 9*l, 20 = -5*l. Solve -2*y + 3 = -p*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*v + 15247 - 15327 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -2*y. Suppose y = -5*u - 3*o + 270, -4*u + o - 29 = -228. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*s + s**5 + 2*s**2 + 4*s + s**3 + 2 - 2 + s**5 + s**5 - s**5 - s**5 + (4 + 3 - 5)*(2*s**5 + 0*s**5 - 4*s**5) - 5*s**5 + s**5 + 2*s**5.\nAnswer: -5*s**5 + s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 4, n: 1, l: 2}. What is prob of sequence le?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 8 (base 9) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -725055 + 5?\nAnswer: -725050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 6158303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -64*m**3 - 14078*m**2 + 376*m - 14072. What is l(-220)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 6) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 3*n - 45, 90609 - 90654 = -3*n. Factor -2*p + t + 1\/4*p**3 + 7\/4*p**2.\nAnswer: p*(p - 1)*(p + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3, -21, -73, -159, -285?\n\"Answer: -w**3 - 8*w**2 + 7*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -335217, -335219, -335221, -335223, -335225, -335227?\n\"Answer: -2*u - 335215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -388d8 (base 16) in base 10?\nAnswer: -231640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 440 or 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = -4*d + 12, -119*r + 3 = d - 118*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {k: 3, r: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h - 1. Let g(a) = 24*a + 3. Let b(y) = 2 - 2 - y. Let u(d) = 42*b(d) + 2*g(d). Give 14*p(q) + 2*u(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 58\/287991 and 58\/5983813?\nAnswer: 53854317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -7d (base 16) in base 6?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxqqwxgxq. Give prob of picking 1 x, 1 w, and 1 q.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 9152453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20362 + 20415. Solve 2*c = -j + p - 45, 2*c + 2*j - 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 980, -24, -15.\nAnswer: -24, -15, 980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 182058 and 358.\nAnswer: 32588382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 85286.69nm in centimeters?\nAnswer: 0.008528669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -1 + 3 - 79*o + 165*o - 87*o - 1. Suppose -9 + 3 = -3*y. Suppose d - y + 4 = 0. Give l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = 5, b - 4*b - i + 14 = 0. Suppose b*k = 9 + 6. Is (24 + k)\/((-1)\/(-7)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*r**5 + 975*r**4 + 3845*r**3 + 4785*r**2 + 1910*r = 0. What is r?\nAnswer: -191, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 + u)*(5 - 16 - 25).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h - 2*h + 2*h**5 + (-h**5 + 0*h**4 + 0*h**4)*(3 + 3 + 8).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 966.1104ms?\nAnswer: 966110.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 + 4*z**2 + z + 1. Let k(d) = -513*d**4 + 4*d**3 + 449*d**2 - d - 1. Let h(t) = -a(t) - k(t). Find the third derivative of h(l) wrt l.\nAnswer: 12312*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 + -19 + (-6 - (-8 + 5 + -5 - -21)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24637 divided by 425.\nAnswer: 24637\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 16) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*n + 9*n + 3648 = -57*n + 7*n for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-1242)\/(-648) - (100\/15 + -4)) + (-265)\/(-380)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 502*l + 27031. Calculate b(-54).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 - 100010001?\nAnswer: -100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0892333 rounded to 3 decimal places?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 4*n + 3 = 0, -16*n = -4*c - 13*n + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -23807?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -30661 - -43171. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2 + 12*h + 2. Let m be r(13). Let g = m - -13. Suppose 0*j + 5*j + o = 95, -g*j + 5*o = -11. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -3*o - 13. Let f(b) = -2*b - 8. Let r(v) = -7*f(v) + 5*j(v). Let k = -3 + -5. Let l(p) = 2*p + 14. Calculate k*r(c) - 5*l(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 10? (a) -279 (b) -16 (c) 5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 268 = -3*k - 3*r, -3*k - r = -265. Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/14 of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 71*v**3 - 341*v**3 + 1 + 0 - 298*v**3 + 0 - 2*v**2 to the form w*v**3 + c + g*v + o*v**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 200 = 3*v. Let l = 659 - 579. Calculate the greatest common divisor of l and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j**4\/j)*j**(-7)*j*j**(-3\/5)*j\/(j**(5\/2)*j))\/((j\/(j\/(j**(-4)\/j))*j*j**(-9))\/(j*j**2\/j*j*j**(-9)*j)) assuming j is positive.\nAnswer: j**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 7071 + 355 = -2*b, -2*b - 2*l + 6722 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5284, -21109, -47474, -84373, -131800, -189749, -258214, -337189?\nAnswer: -426668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 329*n + 332*n - 17316 = 1097*n + 8*n for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14 - (15 + -1)) + (-2 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 292379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -6 - 4 - 2*s + 1. Let g be f(-8). What is the units digit of g + -1 - 4\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + (-488)\/6 + -2. Let u be 5\/((-15)\/(-246)) - 0. Let i = o + u. What is the second smallest value in i, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71\/(-71)*3\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 420648, 841273, 1261898, 1682523, 2103148, 2523773?\nAnswer: 2944398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25 and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/114 - (97\/(-19) - -5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 1951 + 7420 = -q, -d + 3*q - 1351 = 0. Let h = -578 - d. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 13\/3, -24.5, 605?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the second derivative of 0*g**4 + 0*g**2 + g + 0 + 0*g**3 + 1\/9*g**6 - 2\/63*g**7 + 1\/10*g**5. Suppose y(z) = 0. What is z?\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s**2 - 4*s**2 + 5*s**2)*(-3 + 3 - s**2) - 9468*s + 14*s**4 - s**3 + 9464*s - s**3.\nAnswer: 16*s**4 - 2*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - o = 8. Let t(x) = -5*x**3 + 4*x**2 + 2*x - 2. What is the remainder when t(o) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 2 = -14*w + 9*w, -a = -4*w + 1. Let r be (9 + 12\/(-1))\/a. Factor 7\/2*f**4 - 1\/2 - 5\/2*f - 3*f**2 + f**r + 3\/2*f**5.\nAnswer: (f - 1)*(f + 1)**3*(3*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 927.64*-4.\nAnswer: -3710.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 406350?\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 + -5. Suppose -5*s + 0 - 15 = 0. What is the smallest value in 1, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 3*v + 35. Let o be n(-21). Let h = o + 30. Let m = -2 - -14. Calculate the least common multiple of m and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v - 3. Let o be k(-5). Let z be 118 - (o*-1 + 0). Suppose 0*j = -5*j + z. What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2411528 is divided by 1165.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2\/5 (c) 4\/7 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1071 - 1060. What is the nearest to -2\/5 in f, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2351 at least as big as 2347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 176 and 173440?\nAnswer: 1907840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 51 + -51.000000092. Round n to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {s: 2, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + -3. Let k(f) = f - 1. Let p be k(-2). Let n(d) = d**3 + d**2 + d. Let z(t) = 4*t**3 + 6*t**2 + 4*t + 2. Let q(u) = p*n(u) + z(u). Give q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 + 3*u + 1. Let p(a) = 2*a**3 - 4*a**2 + 3*a - 2. Suppose -c = 2*c - 33. Suppose 2 = c*d - 10*d. Let j be p(d). Give w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 + 4. Let r be 3*(j + -2) + 7. Let u(w) = 8*w - r + 3 - 4 + 4. Calculate u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 954, 883, 644, 141, -722?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 241745 or 241753?\nAnswer: 241745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 123 + 21?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/(d**(-1\/6)\/d))\/(d\/((d**(2\/3)*d*d)\/d)))\/(d**3*d*d**(-4)\/d*d))**(-37) assuming d is positive.\nAnswer: d**(-629\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -13 (base 10) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 2*t. Let v = 17 - 0. Let w(q) = 11*q + 7*q + 2*q - v*q. What is m(w(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 PM and 7:34 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.5, 0.6, 16.\nAnswer: -4, -0.5, 0.6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 143510357 to the power of 1\/2, to the nearest integer?\nAnswer: 11980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1569367?\nAnswer: 1569367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3023 or -3022?\nAnswer: -3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 71*q - 101 + 79*q - 145*q to v*q + c and give c.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 39\/20 and 103\/154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -3*v - 1. Determine c(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 28*y - 7. Let r = 6 - 3. Suppose -n - 9 + 24 = r*q, 0 = -2*n + 3*q + 3. Is t(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 80*h**2 - 2*h. Let q(o) = 856*o**2. Determine t(q(n)).\nAnswer: 58618880*n**4 - 1712*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/5*(0 - 5). Find the second derivative of -5*z**r + 2*z**2 + 7*z**2 + 8*z wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1044 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 4977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**2 - 382528*n + 3825080.\nAnswer: 2*(n - 191254)*(n - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.45 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 21*d**2 - d - 8*d**2 + 6 - 11*d**2 as c*d**2 + b + g*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2, -1\/9, -1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-728)\/78)\/(-2 + 4\/3). Calculate the remainder when 54\/3 + (-2)\/2 is divided by (-16)\/4*(5 + (-91)\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (72\/21)\/((-108)\/(-378)). Let o(n) = -2*n + 2. Let z be o(2). Let u be (16\/6)\/(z\/(-6)). Calculate the highest common divisor of u and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -173*b**3 - 103*b**3 - 120*b**3 - 175*b**3.\nAnswer: -571*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101011101 + -101100101110101?\nAnswer: -101101011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2670.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121*f**2 - 38*f**2 - 46*f**2 - 32*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = 9, r + 10 = -9*w + 11 - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jwwwkqwwkzwdzddddwzw. Give prob of picking 1 z and 1 d.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 241*s - 2*d + 2 = 239*s, s + d = -9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 4:48 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve n**5\/2 + 9*n**4 - 43*n**3\/2 - 408*n**2 - 378*n = 0.\nAnswer: -18, -6, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61 + 79 = 6*w. Let l(i) = -2*i + 5. Calculate l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4461414*2.\nAnswer: -8922828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1182.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 83041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*u = -6*u + 152432. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 137 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-8)*0*2\/(-8). What is the smallest value in 2, u, 1\/4, 0.02?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 25 (c) -2\/7 (d) 280\/9 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 22 - 17. Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -222 + 282. Let r be -7*7\/(294\/w). Let t(v) = v**3 + 11*v**2 + 12*v + 15. Calculate t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.193 - 1.817. Let w = m + 0.01. Let k = -1.23 - -1.43. Which is the nearest to 2\/7? (a) 3 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 + 13*y + 19. Give g(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41333?\nAnswer: 41333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be -60 - (-1 - (-1 + 1)). Suppose 0 = -2*u + 3*r - 129, -r - 38 = 3*u + 128. Let m = u - f. Let h(v) = -2*v**2 - 2*v - 1. Give h(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the first derivative of -q**6\/60 - q**5\/30 + q**4\/12 + q**3\/2 + 12*q**2 - 11. Let p(x) be the second derivative of u(x). Determine p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-846)\/(-20727) + 2164\/(-196).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 4. What is the units digit of t\/10*-4*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*c + c + 8*c - 4*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 4\/39, 0.3 in ascending order.\nAnswer: 4\/39, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - -3. What is the second derivative of d - 5 - z*d + 5 + d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 33, -17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 15*i**2 + 103*i**2 + 0.\nAnswer: 118*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 96958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 245669613 divided by 81889871\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w**8*w*w)\/w)\/(w*w*w**0))\/((w\/((w*w*w**(-1\/2)*w)\/w))\/w)**(-41\/3))\/((w**0)**(9\/4)*(w*w**3)\/(w\/((w*w*w**(-1\/15))\/w*w))) assuming w is positive.\nAnswer: w**(-553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 2 + 3)*(0*o + 3*o - 5*o) + 5606*o - 11376*o + 5611*o to the form j*o + b and give j.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of r**4\/3 + r. Let b(m) = -57*m**2 + 28*m**2 + 26*m**2. Give b(q(g)).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 648, 640, 628, 612?\n\"Answer: -2*j**2 - 2*j + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 316 - 184. Suppose 5*l + 0 = -5, 4*u + 4*l - r = 0. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 10 - p - p + p. Let m = -102 - -108. Let n be q(m). Solve 2*w + n = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j**(-2))**(3\/11))**(12\/5))**(-3\/4))**(8\/15) assuming j is positive.\nAnswer: j**(144\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 309564 by 8599.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m = 2865 + 2274. Let g = m - -615. Let l be (3 + -2)*(-8)\/(-2). Calculate the highest common factor of l and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -118980, -237908, -356788, -475614, -594380?\n\"Answer: w**3 + 18*w**2 - 118989*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -96\/11 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 PM and 9:31 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.1336 - 696.7764. Let p = g - -753.984. Let v = -56 + p. What is v rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxmxmxxllosxumooxss. Give prob of picking 2 x and 1 l.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(15)\/(sqrt(18)\/(sqrt(150) + sqrt(6))) - (4 + sqrt(405) + 2).\nAnswer: -3*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 54\/5 and -95\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -65 + 116. Suppose 0 = -6*f + 5*f + y. Suppose -r + f = -9. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*n**4 + 0*n**4 - n**4 + 0 + 0 - n**4 + (-2*n - n + n)*(3*n**3 - 3*n**3 + n**3) - 4*n**4 - 3*n**2 + 3*n**2 + (-n**2 + n**2 - 6*n**3)*(0*n + 3*n + 0*n).\nAnswer: -23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d + 3*d - 15, 2*d = 3*a - 101. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2842334 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(2\/(-9) + 8\/288*2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 286347872 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 2177560428721 + -9.2.\nAnswer: 2177560428711.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -20591 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the second derivative of -1\/5*g**6 - 4*g + 0*g**4 + 0*g**5 + 0*g**3 + 10 - 135\/2*g**2. Differentiate l(b) wrt b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 512132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 17692 divided by 114\nAnswer: 8846\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 509626049 times -3\nAnswer: -1528878147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -270 (b) -17 (c) -14\/11 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 62478 * 75.\nAnswer: 4685850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h**3 - 3*h**2 - 3*h. Let k(c) be the first derivative of -c**4\/4 + c**2\/2 + 92. Give -3*k(o) - q(o).\nAnswer: o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-36)\/(-8) - (789\/18 + -43)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -51, 734, 0, -1.\nAnswer: -51, -4, -1, 0, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*g**5 - 416*g**4 - 888*g**3 - 816*g**2 - 332*g - 48 = 0. Calculate g.\nAnswer: -4, -1, -3\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2 - -3) + -2)\/1. Let i = -2.0492 - 0.0408. Let b = -0.09 - i. Is g bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81290.\nAnswer: 2, 5, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 - 7*o - 1. Let a be w(-5). Let v = -258 + 267. Calculate the highest common factor of a and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -4*m + 55. Let t(g) = -856*g + m*g**2 + 855*g - 2 + 3. Determine t(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/4, -5, 3\/5, 0.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 106952172059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 16136 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 325134831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the first derivative of 0*c - 1\/2*c**2 + 1\/9*c**3 - 10. Factor d(x).\nAnswer: x*(x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 140\/60 - (-4)\/(-12). Let x = 1 + 1. Let d(g) = -10 - 3*g**x + g + 0 + 3*g**2 - g**p. Give d(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-3)\/5)\/((-987)\/658))\/(12\/10)*-174\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/3*27\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/1019724 and 83\/11216964.\nAnswer: 11216964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vikkvkkkkzickk. What is prob of picking 2 k and 1 v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 5*b + w, b - 3*w = -6*w - 15. Let g(z) be the third derivative of z**4\/6 - z**3\/2 - z**2 + 210*z. Determine g(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*z**3 + 50615*z**2 - 23797935*z + 14260545 = 0. Calculate z.\nAnswer: 3\/5, 741, 1283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2041?\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -123, -219, -309, -387, -447, -483, -489?\n\"Answer: r**3 - 3*r**2 - 94*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 + 4*x**2 - 6*x - 3. Let d be i(-5). Suppose -7*f**2 + f**2 + 2 - 7*f**d - 11*f = 0. What is f?\nAnswer: -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 903366 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 999 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 - (-2 + 3) - ((0 - -27) + -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.4454 - -0.1275.\nAnswer: 3.5729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, 1.7, 15, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.3+2401.94\nAnswer: 2402.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4*2\/((-12)\/(-9)). Suppose u*b = b - 30. Is 4\/b + 466\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 5*a = -89 - 43, 2*l + 5*a - 234 = 0. Solve 0 = -3*k - 123 + l for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -0.03 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 239911148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, -3, -1.\nAnswer: -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45045*n**3 - 45046*n**3 + 90098*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**2 + s**2 - 3*s + s**2)*(-13 + 5*s + 13).\nAnswer: 10*s**3 - 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -145\/393 - -92\/131. Which is the nearest to i? (a) -6\/17 (b) 0.2 (c) -0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 31*u + 13*u - 1 + 5 as l + x*u and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (19 - 47) + 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/145512 and 107\/10?\nAnswer: 727560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -8*t**3 + 4 - 10*t**3 + 33*t**3 + 293*t**2 - 16*t**3 + 277*t**2 in the form h*t + a*t**2 + y*t**3 + x and give a.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 186650428 to the nearest integer?\nAnswer: 13662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z - 2*z + 12 = 4*t, -3*z - 15 = -5*t. Suppose 3*h + 734322 = t*j, -5*h + 5 + 10 = 0. Let l = 54777 - j. Round l to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 23707, 47406, 71101, 94792?\n\"Answer: -2*v**2 + 23705*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74 = 3*d + 20. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*x + 4*x - 2*x.\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 24425882 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1216, -2452, -3688?\n\"Answer: -1236*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 6755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*u - 6*u + 5*u**2 - 1107 + 1139.\nAnswer: 5*u**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of y**5\/90 + y**4\/18 - 2*y**2. Factor p(i).\nAnswer: 2*i*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**4 - 16*p**3 + 20*p**2 + 16*p - 18.\nAnswer: -2*(p - 1)**2*(p + 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 6*t**2 + 8*t + 11. Let n = -8 + 1. Let w be p(n). Suppose -2*m + 20 = -w*m - 4*y, 0 = -4*y - 12. What is the nearest to -1 in 5, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/2 + 2\/(-1). Let b(i) = i**2 + i + 145. Let f be b(z). Suppose -2*l - 3*l + f = 5*m, 5*m = l + 121. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -440\/17 - -5811\/170. Find the common denominator of w and 4 - (3 - (-166)\/24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 27 = -3*d, 2*v = -3*d + 7*v + 23. Calculate the smallest common multiple of 72 and (108\/198)\/(1\/d) + 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 5*c - 8 = 0, 2*c - 35 = -3*j - 13. What is the lowest common multiple of 2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*2*sqrt(77) - sqrt(77))\/(sqrt(55)\/sqrt(5)*-5 + sqrt(11)))**2.\nAnswer: 175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/12)\/(-2 - 28\/(-16)). Sort -8, 3, 4, d in descending order.\nAnswer: 4, 3, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -13*f**2 - 9*f + 5. Suppose 3*c = -3*y - 3 - 9, -5*c + 2*y - 20 = 0. Let x(r) = -3*r**2 - 2*r + 1. Calculate c*d(p) + 18*x(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5250\/2249 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*g**2 + 87*g**2 - 7*g + 7*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 413772 (base 8) to base 9\nAnswer: 228185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the second derivative of -g**4\/6 + g**3\/3 + g**2\/2 + 3*g. Give q(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (162*a - 314*a + 163*a)*(-4 + 1 + 2).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 76, 161, 258, 361, 464, 561?\n\"Answer: -a**3 + 12*a**2 + 56*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -65 and -7020.9828435?\nAnswer: 6955.9828435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -374 - -169. Let l = y - -203. Which is the closest to l? (a) -2\/5 (b) 6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 86082*y**4 - 60724 wrt y.\nAnswer: 344328*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the second derivative of c**8\/840 - c**4\/24 - c**3\/6 - 2*c. Let g(d) be the second derivative of w(d). What is the derivative of g(x) wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 8064*t + 7579. Is h(57) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f + 25. Let n be q(-17). Suppose -n = -0*l - l. What is the smallest common multiple of 6 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 34081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-1*(-1)\/3*-3)\/(23\/92)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from yddyydyddydy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**4*h*h**(-7))**(-2\/101)\/((h**4*h\/h**(4\/7))\/(h**(2\/5)*h*h*h*h\/h**(2\/13))) assuming h is positive.\nAnswer: h**(-6563\/45955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 2*o**2 + 2*o**2 + 4*o**2 - 3*o**2 - 5*o. Let d(f) = 6*f**2 - 6*f. Let k(r) = 6*d(r) - 7*u(r). What is the units digit of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -32, -3\/8, 12021 in increasing order.\nAnswer: -32, -3\/8, 12021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 135 divide 12692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01701375084 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -48\/2015 - -1\/130. Let h = -13\/155 + q. Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, h: 4, f: 2, i: 2, u: 2}. What is prob of picking 2 b and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*a**3 + 2997*a**2 + 9837*a + 7590 = 0 for a.\nAnswer: -2, -5\/4, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 5*v + 155 = 0, -2*v - v = -6*j + 174. Solve 22*l - 5 = j*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 3*d + 3. Suppose -2*b = -3*r + 2*b + 14, -5*r = -b - 29. Let g be q(r). Solve 4*p - 5 = -g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10 - 14 + 30 + 4*n**2 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -4*y + 12. Let m(g) = -11*g + 34. Let u(l) = -3*m(l) + 8*w(l). Let h = 8 - -3. Let n be u(h). Solve -5*f + n*c = -30, 2*f + c - 14 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18726526657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6401.\nAnswer: 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 15.2 take away -465378173?\nAnswer: 465378188.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.129234 nanograms to milligrams.\nAnswer: 0.000008129234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, 0, -6 in descending order.\nAnswer: 4, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 4*k**2 - 4*k - 3. Suppose 5*d + 13 = 3. Let c be n(d). What is the units digit of 94\/14 - (-6)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 30 (base 4) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/((n\/n**(4\/19))\/n))\/(n*n**(4\/7)\/n*n) assuming n is positive.\nAnswer: n**(-48\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*0.053.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1359237 divided by 1.\nAnswer: 1359237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-705 - 6176 + 2648 - 9785)*(0 + 0 + 2*f).\nAnswer: -28036*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(91)*1*4 + (sqrt(91) - 1*sqrt(91)*-1))\/(sqrt(112) - (4*-2*sqrt(112) + sqrt(112))).\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 2328.4.\nAnswer: 2327.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.075 and -4657752.0418.\nAnswer: -4657751.9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 2*f + 0*f = 303, 5*f = -4*c - 1277. Let x = 348 + c. Solve -3*a - 4*u = -x, a - 5*u + 18 = -2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 115 - 51. Find the common denominator of ((-214)\/18)\/(20\/(-15)) and ((-156)\/i)\/(1\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207280761 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 20.9 times -3.7\nAnswer: -77.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 20029 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 29207 or 379696\/13?\nAnswer: 29207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 12*z + 93. Let h be a(0). Let k = 173 - h. Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33 is divided by 24 + 12\/(48\/(-28))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 + 19*q**2 - 18*q + 3. Let o be p(18). Solve f - 4*i = -o*i, -9 = 3*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c**4\/7 - 6*c**3\/7 + 9*c**2\/7 + 24*c\/7 + 12\/7 = 0. Calculate c.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*y = -36 - 29994. List the prime factors of y.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -379532409 rounded to the nearest 100000?\nAnswer: -379500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - -7. What is the remainder when 39 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-56)\/64)\/7*-66*4\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -0*r - 6. Suppose 4*b - 4 = r*b. What is the units digit of ((-47)\/b)\/(6\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 + -12 + 1744\/176. What is the closest to -4\/3 in b, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 89990, 89973, 89950, 89921, 89886?\n\"Answer: -3*t**2 - 8*t + 90001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of w**3\/6 + 2*w**2. Let m(n) = 0 - 6 + 28 - n. Let x be m(23). Let z(b) = 3*b**2 - 6. What is x*z(u) - 6*r(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 40479925 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -4*(-2 + -1 + (sqrt(99) + -1)*2 + sqrt(99)) + 4 + -3)**2.\nAnswer: -1152*sqrt(11) + 14512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 63, 202, 413, 690, 1027, 1418, 1857, 2338?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 40*g**3 - g. Give o(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 40927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*n = -8*n - 6. Solve w - 3*g = -11, -n*g = -0*g - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3035908 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -12032 (base 5) in base 4?\nAnswer: -31330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -121 and 190804.\nAnswer: -23087284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 148*s = 31*s - 3918 + 12718 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 2*y - 2 + y**3 + 6*y**2 - 2*y**3 - 8 + 3. Let c be k(6). Let n(h) = -h**2 + 7*h - 3. Give n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 177682 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -80 divided by -6829?\nAnswer: 80\/6829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1 + (-1 - -10) - 2. Let j = 16 + b. Suppose 6*o - 64 = -2*o. What is the lowest common multiple of j and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -3*f**2 + 5*f + 15. Let h(g) = g**3 - 12*g**2 + 18*g + 59. Determine 11*a(z) - 3*h(z).\nAnswer: -3*z**3 + 3*z**2 + z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 414222254 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a + 12. Let j = -158 + 152. What is the remainder when 47 is divided by f(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45040740.\nAnswer: 2, 3, 5, 750679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 9}. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 5*r - 1622 - 1097 = 0, -s = -4*r - 1361. Suppose -3*h - 6160 = -5*d, 2*d - 1123 = -2*h + s. What are the prime factors of d?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2121102211 (base 3) to base 7\nAnswer: 302464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1825, -1863, -1899, -1933, -1965, -1995?\n\"Answer: y**2 - 41*y - 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1432\/(-16) - -86)\/((-54)\/(-60))?\nAnswer: -35\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(126\/(-56)*(-3)\/18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/2822 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 4, -4373, 3, -3, 2, 5 in ascending order.\nAnswer: -4373, -3, 2, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 3 + 0)*(0*w - 4*w + 5*w) + (3*w - 4*w + 2*w)*(-5 + 3 + 4).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -4*n + 124, 2*m - 3*n - 84 = 186. Let a be -13 - (m\/(-77) - (-4)\/(-14)). What is the units digit of (-889)\/a - 28\/(-154)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3231608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2717340*b**2. Let i(s) = 4*s**2. Give j(i(p)).\nAnswer: 43477440*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-24)\/36)\/(4\/(-30)). Suppose 2*z = -v*k + 10, z - 6*k = -3*k + 5. Suppose -z*n + 278 = 3*m, -2*m + 4*n + 178 = -0*n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 907997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - -1a03056?\nAnswer: 1a03055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 + x - 27. Let z be o(0). Let b be (-48)\/z - (-8)\/36. Solve -2*d + b - 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 5 = 2*a - 0*a, -3*a = d - 10. Suppose 0 = -t + 5*w + 33, 3*t - 5*t + 1 = a*w. Find the first derivative of -1 + t + 4*u**2 + 0*u**2 wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 153 in -5, 2, 2\/45, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 912 and 5232.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t**3 - 6*t**2 - 2*t - 6. What is the tens digit of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**2 - 11*w + 5. Let f be j(-9). Let s = 84 + f. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -328 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -24\/497 and -22\/7.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 78 = -c, 4*c - 2*w + 376 = -6*w. Round c to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50464 bigger than 29.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 17*y - 81. Let x be q(8). What is the derivative of 216 - 36*m - 89 - x - 77*m wrt m?\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -35521505 (base 6) to base 12.\nAnswer: -459295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -11*h**6 - 4*h**5 - 4*h**3 - 9*h**2 + 4. Let x(p) = -p**5 - p**3 + 1. Let l(i) = -c(i) + 4*x(i). Find the third derivative of l(o) wrt o.\nAnswer: 1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4874.5 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 0.4695207s?\nAnswer: 0.007825345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 111509*c**2*m**2 - 10*m**2 + 4*m - 650 wrt c?\nAnswer: 223018*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -470 = 195*s - 2420 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 639.4067ug in grams?\nAnswer: 0.0006394067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*c + 1021 = 979 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 954*v. Let u(w) be the first derivative of 2*w**3 - 1096. What is p(u(r))?\nAnswer: 5724*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 3*j**2 + 11600*j + 617643. Give q(-54).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53860273 is divided by 13465060.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 - 10*t**2 + 11*t + 17. Let j be z(-11). Let p(g) = g**3 - 9*g**2 + g + 8. Let w be p(9). Calculate the highest common factor of w and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -36 - -38. Suppose -i*r + 2*g = -26, r + 4*r = g + 65. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11719.998338 + 11720. Round h to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 - 289*i - 17667. Determine z(-201).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(-11) - (-644)\/154. Let b(r) = -2*r + 6. Let p be b(5). Let f(q) = -q. Let c be f(p). Solve z*i = 3*h + 1, -28 = -c*h - i - i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the third derivative of q**5\/60 - q**4\/4 + q**2. Let w be x(7). What is the highest common divisor of 77 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5040 (base 9) to base 13.\nAnswer: -18a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 + 743933.\nAnswer: 743933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3392 and 1007.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 11783561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + -12002020210?\nAnswer: -12002020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10614538, -10614537, -10614536?\nAnswer: -10614535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2462*o - 1271*o - 22544 = 137975 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5372 = 35*x - 5862 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -5*d + 11. Suppose 3*p = d*x + 40, p + x - 15 = 2*x. What is the highest common factor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 - -9. Let q = 25 + 7. Suppose -q = -5*d - 7. Sort -3, d, w in decreasing order.\nAnswer: d, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -101667 or -101669?\nAnswer: -101669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = j + 2*i - 4, 7 = 3*j - 2*i. Let r = 1 + 1. Is r < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -317012 divided by 33?\nAnswer: -317012\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 2*i**2 + i + 2. Let j(b) = -501*b**2 - 27*b - 54. Let v(p) = -27*d(p) - j(p). Let c(l) = -9*l. Give c(v(m)).\nAnswer: -4023*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z + 24. Let s be h(0). Let b = -20 + s. Let l be -1*(b + 24\/(-4)). Solve -c = -l*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 89 + -76. Suppose 5*n + m = 3, -u - 5*n = -111. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -5117, -4886, -4655?\n\"Answer: 231*v - 5348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1447413118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p - 73*v = -76*v - 21, 4*p + 21*v = -51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4120.95 milligrams in tonnes?\nAnswer: 0.00000412095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 9 (b) -3 (c) -0.4 (d) -3\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 3) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1210846 to the power of 1\/2, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2891837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1.2 (b) -15 (c) -13\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 110 and 45.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (96\/(-120))\/((-8)\/376980)?\nAnswer: 2, 3, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 494982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 1246*d - 78225. Let t(f) = f**2 + f - 25. Let y(x) = -a(x) + 4*t(x). Suppose y(k) = 0. Calculate k.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-15)\/((-1350)\/(-36))*(-40)\/1104?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.039 and 4.252507844.\nAnswer: 4.213507844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 25 = 5*t, -2*t + 5*t = 3*a + 15. What is the tens digit of 60\/(t*(-4)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2007*w - 1109 - 1111 + 2220 in the form h*w + p and give h.\nAnswer: -2007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39018 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300)\/(sqrt(160) - sqrt(10)))\/(sqrt(600) + (4*sqrt(600) - sqrt(600)) - sqrt(600)).\nAnswer: sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -201001320 (base 4) to base 3.\nAnswer: -20212120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 12*f + 1. Suppose -2*y - 8 + 0 = 0. Let b = 8 + y. Is 13 a factor of u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3\/2 - 79*y**2\/4 + 52*y - 21.\nAnswer: -(y - 2)*(y + 42)*(2*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-36)\/(-900)*(-10)\/(-5). Which is the third smallest value? (a) w (b) -2 (c) -2\/3 (d) -0.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3\/5*i**4 - 9\/5*i**3 + 9\/5*i + 0 + 3\/5*i**2 = 0. What is i?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 143 + -140. Let c(w) = -81*w**a - 82*w**3 - 1 - 80*w**3 + 239*w**3. Suppose 5*o = -2*p - 2*p + 11, -2*o = -5*p + 22. Calculate c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 17316*q**2 - 44*q - 187. Let z(y) = -5772*y**2 + 14*y + 62. Let k(x) = 3*s(x) + 10*z(x). What is the second derivative of k(l) wrt l?\nAnswer: -11544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3073418, 3073415, 3073412?\nAnswer: 3073409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/3)\/(17 - 147\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 4661206 divided by 211873?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36045 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**2 + 3 + 3 - 6. Let k(x) = x**2. Give r(k(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b**2 - 4*b**2 + 6*b**2)*(-3 + 5 - 1)*(-3*b + 3*b - 4*b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -5*h - 4, 8 = 4*s - 2*h - 2. Suppose 10*n - 9*n = s. Suppose -46 = -n*x + 128. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 232, -7, 36, -8 in ascending order.\nAnswer: -8, -7, -1, 36, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 PM and 6:23 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -31, -6, 49, 146, 297?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 2*q + 6 = 0. Let n be q\/(-10) - (-2)\/(-6). Let m = -3 + 4. What is the nearest to m in n, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 36 - 52*b - 474*b**2 + 14 + 476*b**2.\nAnswer: 2*(b - 25)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:02 PM and 4:17 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 6\/391 and 127\/3910.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*i + 19*i + 5*i.\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6726778 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 12255*c = 12190*c - 2345 - 620 - 155 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*x - 51*x + 84 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 24332.\nAnswer: -1\/12166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**5 + 10*q**5 - 2*q**5)*(0 + 2 - 3).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*n + 489 + 18 = 116 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 1357259\nAnswer: -1\/1357259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 80378229259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a**(-1\/3)\/a))\/a)\/a)**(-50)*a*a**12*a\/a**(-8\/9) assuming a is positive.\nAnswer: a**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 22 = -4*o + o, -r + o + 2 = 0. Suppose -r*z = -z - 2175. Let f = z + -5793\/8. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/972 and 34\/19575.\nAnswer: 704700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-837 + 108 + 352 + 561 + 804)*(0*o**2 - o**4 + 0*o**2) in the form p + g*o**4 + z*o**2 + r*o + u*o**3 and give g.\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**2 - 2*i - 12. Let l(k) = 2*k**2 + 5*k + 25. Let w(x) = 5*h(x) + 3*l(x). Calculate the remainder when 61 is divided by w(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4.1 - 2224.\nAnswer: -2219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -43742 (base 8) in base 14?\nAnswer: -69c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -8 divided by -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 0*t = 3*t - 21, -4*t = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 790522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 - -6*(10 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3\/5 + 148*q**2\/5 - 1804*q\/5 - 9648\/5.\nAnswer: -(q - 134)*(q - 18)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 = 4*l - 2*q + 3*q, -230 = -104*l + 4*q + 114 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -32*q + 3107. Let o be b(97). Solve -2 = -p - 3*j - 6, 5*j = -o*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -66 - (-961 + 960).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 5*d - 1. Let l(r) = -2*r + 1. Let u be l(-2). Suppose 5*f - g = 13, u*f = -0*f - 3*g + 21. Is p(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/12276 and -99\/248.\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 862582 - 858471 - 12*c + c**2 + 11*c.\nAnswer: c**2 - c + 4111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1126483 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = -3*w + 14, -3*i = 4*w - 57 + 47 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -582*n + 335*n = -1235 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -51 + 57. Suppose -c = 5*x - 2*f + 20, -2*x = -3*f + 17. Let j be 6\/(-24) - x\/16. Let m(w) = w**2 - 4. What is m(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 3*l + 70 = 0, -71*d + 7*l + 64 = -73*d + 11*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 16 (b) 1\/2 (c) -0.6 (d) 3 (e) 1160\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (w + 3*w - 3*w)*(-3*w - w + 5*w) + (-w - 1 + 1)*(-4*w + 5*w + 10*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 67*s - 72*s + 220 = 0, 5*p - s + 5*s = 139 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/(-9)*6\/(-26). Let n = 2196 - 2195. What is the nearest to n in t, -0.02, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 32 = -3*n. Let z be (-1)\/(-26)*n\/(-2). Suppose -2*c + 6 = 3*r, 6*r + 6 = r + 2*c. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10300001033 (base 4) to base 6.\nAnswer: 42405035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q. Let f(n) = -282*n**2. Determine c(f(u)).\nAnswer: -282*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1672)\/396*18 + 137?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(108) + -6*-1*sqrt(108) + 4*(1 + sqrt(108)))**2*-6 - -5*(sqrt(300) + 2 - (3 + sqrt(3) + -3 + sqrt(3))).\nAnswer: -78494 - 3128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j\/((j*j*j**0*j)\/j))**(16\/5)\/(j**(-1\/5)*j**(1\/7)) assuming j is positive.\nAnswer: j**(114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3477305 or -3477300?\nAnswer: -3477300","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bazbbizb. What is prob of sequence biaz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 4696360 by -5.\nAnswer: -939272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 964, 2480, 4536, 7132, 10268, 13944, 18160?\n\"Answer: 270*k**2 + 706*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -531707, -531716, -531731, -531752, -531779, -531812, -531851?\n\"Answer: -3*l**2 - 531704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 42033, 84527, 127021, 169515, 212009, 254503?\n\"Answer: 42494*j - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -281102, -562152, -843202, -1124252?\n\"Answer: -281050*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003787335735 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 - 3 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 26399*l + 110148 = 24755*l for l.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -257, 125, 507?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -107*p**4\/12 - p**3\/3 - 39*p - 2. Let w(j) = j**2. Determine w(s(x)).\nAnswer: 11449*x**4 + 428*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3be6b51 - -a?\nAnswer: -3be6b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 + 23.9. Is 22 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*o**2 - 5*o**3 - 2*o - o**3 - 2*o**4 + 4*o**3 to d*o + p + u*o**2 + r*o**4 + m*o**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70 + 50 = 20*r. Suppose 827 = -7*s + 841. Solve 19 = -3*f + s*t, 0 = 3*f + t - r + 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -130441\/12 - -10877. Let f be 4\/(-18)*-3*-54. What is the common denominator of -2*327\/f*-1 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 958 + 68950*c + 68955*c - 137906*c.\nAnswer: -c + 958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 155 - 67. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 171*x - 830. Give o(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 644811 (base 9) to base 12\nAnswer: 166354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-5*(sqrt(432) + 2) - sqrt(432)) + 5.\nAnswer: -72*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -143 (base 6) to base 3\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 25463 - 25458. Solve -3*a + 64*t + 11 = 68*t, 1 = s*a - 2*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 8, s: 3, c: 2, t: 6}. Give prob of picking 1 c and 2 s.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 3 + 7. Suppose -3*s - 15 = 4*i, 9*i + s = n*i - 5. Suppose 188 = 4*b - 2*r, 5*r + i*r - 82 = -2*b. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 102510\/134*((-1)\/(-3) - 0). Solve 14*d + 269 = n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t**2 + 2*t**2 - t**2 + (t + 0*t + 0*t)*(2*t + 4 - 4) - 4*t**2 - t**2 + 2*t**2 - 3*t**2 + 0*t**2 + 4*t**2)*(-3 + 5 + 1) - 2*t**2 - 3*t**2 + 6*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 2*j + 12. Suppose 34*b - 60 - 8 = 0. Let x be y(b). Solve 0 = 5*q + 1 - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 629 + 271. Let s = -80 - p. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 28 = 4*i - j, -i + j = -1. Sort -6, 2, i, -2 in descending order.\nAnswer: 2, -2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + -20 + (3 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2560*o + 2602*o - 5163*o + 16554*o**2 to the form c + g*o + k*o**2 and give k.\nAnswer: 16554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w - 5*x + 489, x - 315 = -4*w + 303. What is the remainder when w is divided by 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u - 4*w = -9*w - 88, -5*w - 34 = 3*u. Put 7, -1, u in descending order.\nAnswer: 7, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1110000000 (base 2) to base 5.\nAnswer: -12041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 971059 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of 1\/3*m**3 - m - 3*m**2 + 1\/120*m**5 - 1\/12*m**4 + 0. Let u(d) be the first derivative of y(d). Factor u(b).\nAnswer: (b - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -88558519.\nAnswer: 4\/88558519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35143?\nAnswer: 113, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 4, x: 1, l: 9}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - ((12 - 9) + 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - 4045?\nAnswer: -404a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 - -5\/2. Let b = -2.6 - -2.7. What is the closest to -1\/2 in b, z, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -8169, 4 in increasing order.\nAnswer: -8169, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 87 (b) -0.2 (c) 0.4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j**2 + 4*j - 2 + 14*j**3 - 10*j**3 + 2*j**4 - 6*j**3 to o*j**4 + b*j + s*j**3 + r*j**2 + a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*f + 5*a + 35033 = -24*f, -52559 = -3*f - 2*a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.16 - -8.84. Let h = -9 + y. Let d = -8 - -13. Sort d, 3, h.\nAnswer: h, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 77550\/(-3619)*(-7 + 126\/12)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 17070, 34140, 51210, 68280, 85350?\n\"Answer: 17070*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is x in 4\/3*x**3 + 4*x**2 - 16\/3 + 0*x = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*i**3 + 7*i**3 + 40*i**3.\nAnswer: 77*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000004472 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 607 and 732?\nAnswer: 444324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 929941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6 or 73\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 3*u + 0*u**3 + u**3 + 2*u**3 - 15*u in the form h + l*u**3 + z*u + b*u**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 418790596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -3 - (1 - 0) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -212752 - -4906799\/23. Let b = w + -587. Let d = 5 - 6. Are d and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -609*p**2 + 6*p - 435*p**2 - 1 - 6*p.\nAnswer: -1044*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3479685736 + 763.\nAnswer: 762.6520314264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -588, 0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 27*p**6 - 117839*p**3*w**3 + 518660*p**2 + 7*w**3 wrt p?\nAnswer: 3240*p**3 - 707034*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -16, -37, -64, -91, -112, -121, -112, -79?\n\"Answer: g**3 - 9*g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -124154*u - 19244?\nAnswer: -124154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -5, 2, 13, 28, 47?\n\"Answer: 2*h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11083176*v**3*y**3 + v**2*y**3 + 5*v**2*y**2 + 7*v**2 - 611*v*y**2 + 127*y wrt v.\nAnswer: -66499056*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 39 - ((39 - -3) + 32).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 62 = -4. Let j = -2 + f. Suppose -4*p + 7 = -j. Solve -3*m = -t + 9, 0 = p*t - 0*t - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11010101110010001001 (base 2) to base 11.\nAnswer: -548992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 3 + (3 - 1) + (185 - 195)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 60 = -5*t, 51*z = 52*z - 2. Calculate the least common multiple of t and 1707.\nAnswer: 17070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 16917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggmg when four letters picked without replacement from gmmmmmmmgmmmgggmmmm.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -554774, -1109567, -1664360?\nAnswer: -2219153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 531339429 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1125) + -4 + (sqrt(1125)*-2 + sqrt(1125))**2.\nAnswer: 15*sqrt(5) + 1121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((sqrt(120)\/(-2*sqrt(8)))\/(sqrt(3)*-1*6)*5)**2.\nAnswer: -163\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 86473300 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2*h**3 + 1)*(0 - 2 + 3) - 17*h**3 + 5*h**3 - 2*h**3 - 2*h**2.\nAnswer: -12*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -122103000103 (base 4) to base 12\nAnswer: -2385417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 + 16. Let t be (2\/2 + -1)\/(-17 + 18). Solve t = -3*q - 3*b - 9, -3*b - b - f = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20110201 (base 3) to base 2.\nAnswer: 1001001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -3*y + 1241, 3*y + 1232 + 15 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -11*c**2. Let q(g) = -126*g - 55. Let j(t) = -34*t - 14. Let z(n) = 11*j(n) - 3*q(n). Give z(p(m)).\nAnswer: -44*m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 16 + 60?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51485243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 93410 - 96032 = 17*d + 29*d for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate k**4*m*t**2 - 10*k**2*m*t - 9*k*t - 3*m*t**2 + 28*m*t wrt k.\nAnswer: 4*k**3*m*t**2 - 20*k*m*t - 9*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*((z**(-42)\/z)\/z)\/z*z*(z*z**17)\/z assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 744880 = -315*m + 739525 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = x - 2*r + 6*r, 2*x - 4*r - 6 = 0. Let z = x + 12. Suppose -5*f + u + 128 = 0, -5 = -5*u + z. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 10652577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.15 - 0.162. Let f = k + 0.062. Let p = 0.06 + f. Which is bigger: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14588 and 4570733.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 5\/2, 3, 1\/2, -9620?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 403?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -5084 (base 9) to base 3\nAnswer: -12002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -31 + 21 + (-5)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - 1)*(-13)\/(9555\/(-14))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 836 - 836 - 117*t + 235*t - 117*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -0.2, -0.1, 34, -0.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 13.1 plus -271104.85254?\nAnswer: -271091.75254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6) + -4*sqrt(96) + sqrt(6))\/(-2*(sqrt(18) + sqrt(2) - sqrt(2)) + sqrt(2)) + (-1*sqrt(18)*3)\/((sqrt(42) - sqrt(168))\/sqrt(7) - sqrt(6)).\nAnswer: 43*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1056*o**3*w**2 + 1166*o**3*w - 2*o**3 + 3*o**2*w**2 - 13*o*w**2 + 2*o*w - 4*o + 5*w**2 - 56 wrt w?\nAnswer: 2112*o**3 + 6*o**2 - 26*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 4, 3*m + x + 20 = 5*m. Let q be 3\/2 + -6 + 76\/m. Suppose 0 = -q*c - 2*c + 5215. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**9*p**(-7))**31*((p\/(p*((p*p\/((p*p*p*p*p**3)\/p))\/p)\/p*p)*p)\/(p*p\/(p\/p**(-2\/3))))**(-10) assuming p is positive.\nAnswer: p**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 33*l + 45. Let f be s(-1). Solve f = 4*z, 2*c + 0*z - 7 = -5*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -9 + 1239a348?\nAnswer: 1239a33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of -7*l**4\/8 - 44*l**3\/3 - 21*l**2 + 26*l + 1. Let z(d) = 2*d. What is v(z(t))?\nAnswer: -42*t - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uiyyuyyyyuyyygguy. Give prob of sequence uigy.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0, -5, 10808, 3 in increasing order.\nAnswer: -5, -3, 0, 3, 10808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-12)\/(-8)*4\/(-6). Let s(t) = 5*t**2 - 3*t + 0 + 4*t - 4*t**2 + 1. Let c be s(k). Solve -4*l - g = -0*l + 6, l - g - c = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51170490 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 2*f**2 + 110*f - 868 = 0.\nAnswer: -62, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -59 + 98. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -2*g + 25. Suppose 5*k - 22 = 3*v, -g*v = -4*k - k + 20. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14186226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*l**2 - 2*l**3 + 5*l**2)*(-2591*l - 5948*l**2 + 5151*l - 2560*l).\nAnswer: 11896*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -11*u**2 - 41*u + 15. Let t(m) = -4*m**2 - 14*m + 5. Let d(n) = 3*b(n) - 8*t(n). What is the units digit of d(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -689, 763, 3197, 6619, 11035, 16451, 22873?\n\"Answer: l**3 + 485*l**2 - 10*l - 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 88872104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the second derivative of -m**3\/3 + 13*m**2\/2 - 7*m. Let j be k(5). Suppose 5*f - 6 = 3*g, -9 = -2*f - 9*g + 8*g. Solve -j = -3*s + f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyeyyyyyeeyye. What is prob of sequence eyye?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 58*h + 755. Let f be w(-20). Put -8, f, 3, -1 in decreasing order.\nAnswer: 3, -1, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 4, w: 2, g: 1, b: 2}. Give prob of picking 2 g, 1 h, and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 90614160 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m**3 + 6*m**3 - 3*m**3 + (-4*m + 0*m + 2*m)*(7*m**2 + 5*m - 5*m) to f*m + n*m**3 + b + o*m**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -309 (base 12) in base 16?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -174*j**5 + 1065*j**4 + j**3 + 3*j**2 + 103014*j wrt j?\nAnswer: -10440*j**2 + 25560*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -152, -557, -1216, -2117, -3248, -4597, -6152, -7901?\n\"Answer: 2*f**3 - 139*f**2 - 2*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -21 times -1.9?\nAnswer: 39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 5069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 218899593500 minus -0.27?\nAnswer: 218899593500.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 696317?\nAnswer: 696317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + -1 + 4 + -2. Suppose 130 = -r*l - 5*l. Is l\/(-1) - 3\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 10, -6, 4, -1, 1, 2, -2 in decreasing order.\nAnswer: 10, 4, 2, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 6192 by -4.\nAnswer: -1548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {v: 6, p: 2, r: 1, w: 4, f: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 + 0.1383901.\nAnswer: 0.0383901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5106901?\nAnswer: 5106901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, y: 5}. What is prob of picking 4 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1514 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -944249*r*x**2 - r*x - 2588840*r - 2*x**2 wrt x.\nAnswer: -1888498*r*x - r - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 7, y: 3, n: 4}. Give prob of sequence pnyn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-6\/11)\/x)\/x*x**5)**(-4\/21)\/((x**(2\/5)\/x)**27)**(-1\/19) assuming x is positive.\nAnswer: x**(-9657\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -2078*r**2 + 2078*r**2 - 160*r**5 + (-2*r**2 + 2*r**2 + 4*r**2)*(-r**3 + 2*r**3 + 0*r**3).\nAnswer: -156*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 135334 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: What is k in 0 - 2\/3*k**5 + 22\/3*k**3 + 4*k**2 + 8\/3*k**4 + 0*k = 0?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 + 11. Let k(u) = -5 - 2*u**2 + 8*u**2 + 0*u**2. Let l(s) = 1 - 1362981*s**2 + 1362978*s**2 + 2. Determine t*l(i) + 3*k(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 - 5. Let u = x + -6. Let z = -111620 + 111625. Sort 0.5, u, z, -1 in increasing order.\nAnswer: u, -1, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15181 = 5*n - 2*r + 2131, 4*r = 3*n - 7830. Suppose 5*f = 4*f - n. Round f to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(-2)*1 - 9. Let w(a) = a + 8. Let u be w(8). Let t = u + o. Solve -2*d = 3*k - 0*d - t, -4*d = -k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2127007 is divided by 53173.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 - 4*y - 1. Let q be p(5). Suppose q*m = 16, 2*v - m - 20 = -2*m. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 269*a**3 - 204*a**3 - 375*a**3 - 360*a**3.\nAnswer: -670*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-203)\/14 + 9 - (-1)\/(-2). What is the common denominator of -17\/152 and (-1)\/j*525\/(-14)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -143.75+-1\nAnswer: -144.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18734 and 850?\nAnswer: 468350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2810092955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 4*a - 19, 3 + 9 = -4*a. Suppose 5*j + u = h, 0*u + 47 = 5*j - 3*u. Calculate the remainder when 26 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 406614384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 31976*i**3 + 2056*i**2 + 6*i + 7570722?\nAnswer: 191856*i + 4112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30 + (-11 + 0 - -1 - (-15 - (-1 + 2))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.108 + -0.108. What is the closest to 0 in 8, -2\/7, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(343)\/sqrt(7))\/((sqrt(28) + sqrt(1008) - sqrt(28))\/sqrt(4)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + -2 - 0) + 3. Suppose 2 = n + w. Suppose -n = 4*h - 65. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5397 and 2090952.\nAnswer: 14636664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 105107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6\/4211 - -244364\/88431. Find the common denominator of x and -64\/51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -18, 26 in decreasing order.\nAnswer: 26, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 117 or -2?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 4. Suppose -8 = -3*o - h*v + 4, -23 = -4*o - 5*v. Let a be 909\/1010 + (-1)\/(-10). Sort o, -3, a.\nAnswer: -3, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyrv when four letters picked without replacement from {r: 2, x: 1, y: 2, v: 1, j: 2, f: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18 and 32094?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10012.8 - 10013. What is the fourth biggest value in -8, -0.1, s, 117?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(28)\/(sqrt(16)\/sqrt(4)) - sqrt(7)) + sqrt(7) + (sqrt(7) - 1*sqrt(7)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2\/217 + 444\/1085. Let a be -6*6\/(-27) - (-2)\/3. Let t(o) = -o**3 + 3*o**2 - 2*o. Let i be t(a). Sort 0.3, u, i.\nAnswer: i, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/5 of a gram in milligrams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 12:08 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the first derivative of -2\/27*j**3 + 5 - 4\/9*j + 1\/3*j**2. What is i in s(i) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express u**2 - 2*u**2 + 40*u**3 + u**2 + 2*u as j + k*u + t*u**2 + x*u**3 and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (430\/(-25))\/2 - (-42)\/((-12)\/(-2)). What is the smallest value in -0.2, -621, p?\nAnswer: -621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/(-18))\/(((-20)\/(-15))\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -417244 (base 8) to base 6.\nAnswer: -2551044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -37*c. Let k(p) = -2*p**2 + 370*p. Let b(y) = -10*h(y) - k(y). Let o(t) = -2*t - 88. What is o(b(x))?\nAnswer: -4*x**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3725 - 3725.4. Let u = 0.4 + 0.4. Let o = u + -1. Put t, o, -5 in decreasing order.\nAnswer: o, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 550454659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*i = 23*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -2*r - 4. Suppose 44 = 4*y + t - 9, -t + 29 = 2*y. Let x be (-17)\/(-3) - y\/18. Calculate l(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6577 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17490 is divided by 484.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, -5.652, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 47 and 13825379.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 249 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 95121 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000250937482 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 5*m = 4*b - 386407964, 3*b = -4*m + 289805972. Suppose 407398004 + b = 15*t. Round t to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -13 (b) -5 (c) 3\/7 (d) -0.02 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27433 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -738 times -20\nAnswer: 14760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 220 greater than or equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 5*n - 45 = 0, -k + 3*n - n + 6 = 0. Let w be 2\/2 - (k\/(-2) + 1). Suppose 0*l - 96 = -4*l. Calculate the highest common divisor of w and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 5*i + 1721. Let q(g) = -6*g - 1727. Give -4*d(j) - 3*q(j).\nAnswer: -2*j - 1703","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.69*27078.\nAnswer: -18683.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -426 - -421. Sort -1, i, -3 in ascending order.\nAnswer: i, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8969*y + 8971*y - i - 20, i + 650 = 65*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24561*o + 3*o**3 + 24561*o - 20*o**3.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6 + -38)*(-1 + -1). Calculate the remainder when (m\/20)\/(2\/10) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from prppiiiirpppprip. Give prob of picking 2 i and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -16\/36443 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve p**5\/2 + 149*p**4 + 885*p**3\/2 = 0 for p.\nAnswer: -295, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1602 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 333004*t**2 - 2*t - 37674?\nAnswer: 666008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 40, 38, 38, 40?\n\"Answer: k**2 - 5*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 328651 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2235319, 2235320, 2235317, 2235316, 2235323, 2235344?\nAnswer: 2235385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 801*b - 8060 = 491*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2080)\/(-330) + (-2)\/3 - 6.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14 + -14.5. Let s = -3.5 - m. Let h be 0 + 0 + (-6 - -5). Which is the nearest to s? (a) h (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26293709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*b**4 + 36*b**3 - 39*b**2.\nAnswer: 3*b**2*(b - 1)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4837, 4845, 4859, 4879?\nAnswer: 4905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r + 5*m - 15, -15 + 5 = -3*r - 2*m. Let n = 3.63 + -3.57. Which is the fourth biggest value? (a) n (b) 3 (c) r (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v. Let l(a) be the second derivative of -a**3\/3 + 2*a. Suppose -2*f - 2*f - 4*p = 0, -9 = f + 4*p. Determine f*l(b) - 4*t(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide (-3777)\/(-3 + 2) + 26\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**2 - 305*c + 62873. Give l(-446).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1234 - 389. Is b bigger than 845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -18\/5, -0.4, -463, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 152 divide 42256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6330 and 1110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 - 220?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b + 2*b - b)*(4 - 3*b**3 + 8*b**3 - 6*b**3 - 2*b**2).\nAnswer: -b**4 - 2*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.1 + -0.1. Let k = -684 + 679. Sort b, -3, k.\nAnswer: k, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/((c**3*c*c)\/c))\/c)**(-4\/7) assuming c is positive.\nAnswer: c**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-685)\/(-45) - (-18)\/486*-6. Let p(z) = -2*z - 7. Let h be p(-5). Solve h*r - 6*r = -d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 117 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w - 24 = -3*w. Suppose -3*p - h + 25 = 0, -2*p - 3*h + 5 = -0*h. Let r = w + p. Solve 5*k = -r - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 + 5*k**2 - k + 5. Let w(n) = n**3 - 6*n**2 + 2*n - 6. Let l be w(6). What is v(l)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 + 6*m + 5. Let t be (10\/25 + -1)*-5. Let l be c(t). Suppose 0 = 12*f - l*f + 4. Solve 3*g - 3*r = -g + 5, -2*g = -f*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = -4*d - 40 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -347215, -347229, -347255, -347299, -347367?\n\"Answer: -c**3 - 7*c - 347207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-40)*(148 + -150)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -18 by -592.\nAnswer: 9\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*r**2 + 3*r**2 + 56*r - 15*r**2 - r**3.\nAnswer: -r**3 - 15*r**2 + 56*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -5*w + 196. Suppose 4*m - 4*d = w, -3*d + 2*d = -2. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 10587 times -0.2\nAnswer: -2117.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 341167212 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of c*o*u**2 - c*o*u + c*u**2 + 34*c - 99760*o*u**2 + 2*o*u wrt c?\nAnswer: o*u**2 - o*u + u**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13 + 21. Suppose 5*b = z*b. Let r**3 + 1\/2*r + b + 3\/2*r**2 = 0. Calculate r.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1715)\/(-315) + 880\/660*(-1)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from {o: 12, s: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -0*a + 3*a, 11*a - 18*a + 10 = 3*j - 11*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nebbrn. Give prob of sequence enr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (359\/3)\/((-854)\/6). Let c = -1\/61 + g. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 10*j**4 + 100*j**3 - 115*j**2 + 5*j - 10. Let k(o) = -9*o**4 - 102*o**3 + 115*o**2 - 4*o + 8. Let a(v) = 5*k(v) + 4*m(v). What is t in a(t) = 0?\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20036824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/(-10) + -40*(-14)\/2800.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + 10. Suppose 0 = -4*p + 3 + 53. Calculate the lowest common multiple of o and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-48)\/(-32))\/(-2*(-66)\/(-616))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1288 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1282 = -47*o + 81. What is the smallest common multiple of 36\/14*203\/o and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(2\/3)*(m*m**(-39))\/m*m assuming m is positive.\nAnswer: m**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (522\/351 + (-44)\/286)*3\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -y**3 - 3*y**3 + 6*y**3 - 2*y**3 - y + y + (-3 + 3 + y)*(2*y**2 - 3*y**2 - y**2) + y**3 + y**3 - y**3 + 111*y**3 + 178*y**3 - 101*y**3.\nAnswer: 187*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 4*l + 26 = 0, -2*s + 0*l - 4*l - 12 = 0. Suppose -4*z = -0*z - f - 6, 0 = s*z - 5*f + 6. Solve 0 = -7*r + z*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 403.4115m?\nAnswer: 403411500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 7*w**3 - 306*w**2 + 3322*w - 242. Calculate q(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000012752386 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 42473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the first derivative of 2*p**5\/45 - 86*p**4\/3 + 7396*p**3 - 954084*p**2 + 61538418*p - 1141. Factor g(h).\nAnswer: 2*(h - 129)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of -9*n**6 - 137*n**4\/12 - n**3\/6 - 201*n. Find the third derivative of x(o) wrt o.\nAnswer: -6480*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v - 6. Let k be q(0). What is the tens digit of ((-4)\/k)\/(1\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -15*p**4 - 8*p**2 + 2*p. Let k(a) = 15*a**4 + 9*a**2 - 3*a. Let j(i) = 2*k(i) + 3*q(i). Find the third derivative of j(s) wrt s.\nAnswer: -360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.666 and 0.3.\nAnswer: -0.1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**10*y**(-15) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 28556.9 rounded to the nearest ten?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -292*f**3 - 3*f**2 + 6. Let i(m) = 587*m**3 + 7*m**2 - m - 14. Determine 7*d(v) + 3*i(v).\nAnswer: -283*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 6 = n. Suppose -n*s + 3*s = 0. Suppose s = -4*j - i - 10, -2*i - 2*i - 4 = 4*j. Let o(x) = x**2 + 3*x + 4. What is o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of 15*w**4\/8 + w**3\/6 - 7*w**2. Let o be l(-1). Let k = o + 91. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, u: 1, i: 2, r: 1, p: 8, g: 1}. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -609 - 583 = -35*l + 55*l + 68 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -i**3 - i**2 - 75*i**4 - 62*i**4 - 71*i**4 in the form k*i**4 + h + z*i + f*i**3 + q*i**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 2*s + 5. Suppose s*n = -0 + 15. What is the third derivative of -2*f**3 + 2*f**3 + 0*f**2 - 4*f**2 - 4*f**n wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/10, -3, -5, 3 in descending order.\nAnswer: 3, -1\/10, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in -8, -3387\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14610 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -4*z**3 - 5*z**2 - 5*z - 5. Let a(f) = 5*f**3 + 6*f**2 + 6*f + 6. Let q = -456 - -461. Give q*a(g) + 6*v(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13148.\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 32710717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -148*a**2 - 48610*a**3 + 148*a**2.\nAnswer: -48610*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Let g = -3 + 15. Suppose 0 = 3*a - a - g. Let r = -25 - -32. What is the lowest common multiple of a and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 6*s**2 - 7*s + 6. Suppose -3*h + 691 - 131 = 5*d, -h - 5 = 0. Let o = -115 + d. Let z = -7 + o. Give y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) -0.025 (b) -3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eem when three letters picked without replacement from {m: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 75.20483 millilitres to litres.\nAnswer: 0.07520483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5925 + -5859. Is q equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -8, -185, -696, -1709, -3392, -5913, -9440, -14141?\n\"Answer: -28*q**3 + q**2 + 16*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor v**5 + 48*v**4 - 100*v**3 + 2*v**2 + 99*v - 50.\nAnswer: (v - 1)**3*(v + 1)*(v + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3586958 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (7 + (-2 - 3) + -2)) + -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 186 a factor of 30690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 133, 266, 399, 532?\n\"Answer: 133*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 50*k + 24*k - 98*k - 57*k in the form h*k + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k = 5*t - 0*k - 2, 4*t - 2*k = 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:43 PM and 7:07 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (24*l**2 - 57*l**2 - 48*l**2)*(-1 - 2 - 6).\nAnswer: 729*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8184 and 54093512.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - b = 20, 38 - 42 = 2*b. Let t(r) = -9 + 9*r + 6 - 14. What is the units digit of t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 13 and -8.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 2. Is u greater than or equal to 1\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 24 + 26)*(-2*a**4 + 7*a**4 + 7*a**4 + (4*a**4 - 4*a**4 - a**4)*(-2 - 2 + 2)).\nAnswer: 224*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 145 - (-26 + 60 - (47 - 55))\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -103, -2, -525 in decreasing order.\nAnswer: -2, -103, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/663 and -20\/36771.\nAnswer: 478023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(7\/6)*l)\/(l\/l**(-27\/4)) assuming l is positive.\nAnswer: l**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -3*m**3 - 2*m. Let a be (-13 - -22)*1\/(-3). Let p(h) = -3*h**3 - 3*h. Give a*p(j) + 4*v(j).\nAnswer: -3*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -2*h + 35. Calculate i(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 7*p**2 - p + 10. Let y = 8 - 4. Let t be 15\/(-2) + 2\/y. Does 7 divide d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 282807 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 15 + -142b?\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 84 - -14. Let r = w + 19. Suppose -r = -8*h - h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(468)*-2 - 3*1*sqrt(13) - sqrt(104)\/(2*(sqrt(8)*-4 + sqrt(8))).\nAnswer: -89*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of 2*n**3\/3 - n**2 - 2*n - 1. Suppose -284*x + 280*x + 28 = 0. Calculate the remainder when j(3) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**0\/(((h**(-2\/11)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 55438316971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 1 - 4*m - 5 - 11*m**2 + 5 + 37*m**2. What are the prime factors of b(2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**2 - 2*x + 2*x)*(4*x**3 + 3*x**3 - 5*x**3) + 13*x**3 + 4*x - 11*x**3 - x**2 - 2*x**5 + 3*x**5.\nAnswer: 3*x**5 + 2*x**3 - x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**2. Let y(w) = 28*w**2. Let v(r) = 3*a(r) - y(r). Let c(t) = t**2. Calculate v(c(q)).\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -i - 4*i + 6*i + 31*i**3 - 10*i**2 - 42*i**3 in the form v*i + y + q*i**3 + o*i**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 131580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 + -9. Let i = -6 + s. Is (-2)\/(i\/((-24)\/3)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -136*r**3 + r**2 + 6*r + 2. Let c be w(-2). Let a = c + -183. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 + 2 - (255 + -287)) + -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**2 - 37*s + 78. Determine n(-36).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*x**2 - 11*x**2 - 8*x**3)*(-10 + 48 + 16).\nAnswer: -432*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1163142947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -22611173 (base 8) to base 6\nAnswer: -253241243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -6, -45, -164, -405, -810, -1421, -2280?\n\"Answer: -7*i**3 + 2*i**2 + 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 51536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 147 = a - 151, -o + 7 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13.6 - 13.9. Are c and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1839153 divided by 25.\nAnswer: 1839153\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 2*u + 11 = 2*y, 27 = u - 4*y. Solve 3*w - 1 = 3*s - u, 4*s = 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2675? (a) -1 (b) 1\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000081941 rounded to 7 decimal places?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 - 2*t**2 - 6*t + 9. Let i be (6\/(-9) + 0)*-36. Suppose 3*f + f = i. Let b be x(f). What is the greatest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 2353*k - 21171. Determine w(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and 1.2.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 50\/405*9*(14\/(-10) + 18\/90).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 7\/9 + (-2)\/(-9). Let b(x) be the first derivative of x**6\/360 - x**4\/24 - 14*x**3\/3 + 10. Let d(o) be the third derivative of b(o). What is d(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 9*w - 160. Let g be ((-100)\/w + -3)\/(1\/(-6)). Which is the closest to 2\/5? (a) g (b) -11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -1\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - 20120012022?\nAnswer: -20120012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 6*y**2 + 387*y + 714. Let l(x) = x**2 + x - 14. Let m(i) = h(i) - 3*l(i). Factor m(q).\nAnswer: 3*(q + 2)*(q + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29681 (base 12) in base 9?\nAnswer: -87477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -38 + 40. Factor 0*n**3 - n**2 - 3*n**2 + 2*n**3 + b*n**3.\nAnswer: 4*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**4 + 4*x**4 - x**4 + 2*x**4 + 3*x**4 - 4*x**4 + 2 - 2 - 2*x**4 + (0*x**4 + 2*x**4 + 0*x**4)*(1 + 4 - 3).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from {h: 2, w: 7, j: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of r**4\/24 - 7*r**3\/6 - 7*r**2. Let w be f(10). Sort -4, w, 2 in descending order.\nAnswer: w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3915 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -648\/5 + 134. Find the common denominator of h and ((-18)\/6)\/(4\/(-15)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -714*q + 21422. Let h = 41 - -39. Calculate the smallest common multiple of m(30) and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*g**2 + 123*g - 123*g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 21\/49 - (-3)\/(-7). Suppose n = -2*f + v - 2*v + 3, 15 = 2*f + 5*v. Is 3\/31 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 2 o when four letters picked without replacement from kofkffokk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 153 (base 8) to base 3.\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.194 in -0.5, 1, -496, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 7, o: 3, v: 9}. Give prob of sequence ovq.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6655\/242*462\/(-165).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 4*d + 17 = 0, -15*k - 12*d + 21*d = -2*d + 5*d - 57 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**2 + 31*x + 28. Give h(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 3 + 0 = 0. Let h(s) = -s**2 + 3*s + 7. Let z be h(5). Let g(r) = -r**2 + 20*r - 61. Let n be g(17). Sort z, n, m in increasing order.\nAnswer: n, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 58615500*s*t**2 + 5*s*t*w - 2939*t**2*w - 2341*t*w wrt w.\nAnswer: 5*s*t - 2939*t**2 - 2341*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 50, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -74*p**6 + 2*p**5 + 475*p**2?\nAnswer: -8880*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (160\/(-18) + 9)\/(100\/618) and 55\/16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pejgjoeo. What is prob of picking 2 e, 1 j, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the first derivative of 0*s + 1\/10*s**4 + 0*s**2 - 1\/15*s**6 + 4\/25*s**5 - 1 - 4\/15*s**3. Suppose q(z) = 0. What is z?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.1155 + -0.0196. Round y to 3 decimal places.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -3*f - 16. Let k be c(-12). Suppose 0 = -4*o - 4*z - 8, o + k*z + 14 = 16*z. Solve 0 = -o*q - 4*n + 4, 3*q - n - 10 = -3*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.07 times -132739?\nAnswer: -9291.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -5*u - 45810. Let y(q) = 1527. Let z(s) = d(s) + 30*y(s). Let o(b) be the third derivative of -3*b**5\/5 - b**2. What is o(z(f))?\nAnswer: -900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -33 divided by -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2*d + 0 - 2)*(4 - 2 - 6)*(-11 - 4 + 10)*(2 - 3 + 4) to w*d + r and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -332, -326, -316, -302, -284, -262, -236?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 6, c: 1, m: 7}. Give prob of picking 4 m.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -264408 divided by -6.\nAnswer: 44068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t**2 - t + 8. Let f(x) = -x**2 - x + 7. Let n(z) = 3*f(z) - 2*y(z). Suppose 0 = -i - 4*i. List the prime factors of n(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -38036514*g**2*l**2 - 184*g**2*l - 2*g**2 + 39*g*l - 4*g + 13 wrt l?\nAnswer: -76073028*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 10789763431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10 - 2. Let y be a\/4*3\/3. Suppose y = 2*z - 2. Solve -z*j = -f - 5, -2*j - 3*f = 2*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -712811 and -3.\nAnswer: -712814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 250078, 250035, 249992, 249949, 249906, 249863?\n\"Answer: -43*p + 250121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -369403053*i**5 - 28*i**2 + 7288794*i wrt i?\nAnswer: -22164183180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 2*g**3 + 7*g**2 - 12*g + 6. Let i(m) = -m**3 - m**2 - 1. Determine 4*i(q) + n(q).\nAnswer: -2*q**3 + 3*q**2 - 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -14 + (-63)\/28*-8012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 322 and 2817052.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of l**6\/6 + l**4\/6 + 6*l. Find the third derivative of g(m) wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3098968\/9 + 344330. Factor 0 + t*u**2 + 4\/9*u.\nAnswer: 2*u*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(304) - 2*(sqrt(304) + -3))**2 + (3*1*sqrt(304))**2).\nAnswer: -3076 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by 6729.\nAnswer: 3\/2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4967556?\nAnswer: 2, 3, 11, 37633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k + 32. Let y be w(-30). Solve y = 2*p - 2*c, -4*c - 1 = -5*p - c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -32*s**2 - 188*s + 377. Calculate i(2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 63305, 63309, 63341, 63413, 63537, 63725, 63989?\n\"Answer: 2*b**3 + 2*b**2 - 16*b + 63317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.4326 + -0.424. Round a to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 3*p - 15 = 0, 4*b = -2*p + 10 - 0. Suppose 512 = -4*y - b*y. Is 10 a factor of y\/(-12) + (-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 240*g + 853 - 2419 = 1074 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -51\/36068 and -11\/2540?\nAnswer: 180340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 66.3 - 62.81. Let n = -3.29 + f. What is the closest to -4 in 3, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9862 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(56\/(-21)) - (-5 + 3\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that 12 + n**2 - 2*n + 8*n + 8*n + 0*n + n**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 35*h**2 + 30*h + 30. Let o(b) = b**2 + b + 1. What is -j(w) + 30*o(w)?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*l + 66 - 18. Let c be l - (-6)\/9*-6. Let a(s) = 2*s + 5*s - 8*s - 5 + 0*s. Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 334383227 and 334383227 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-67)\/((-44957)\/100) + (-20)\/110?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 158559 is divided by 981?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is r in -230*r**2 + 26*r + 4 = 0?\nAnswer: -2\/23, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -93720, -93728, -93736, -93744?\nAnswer: -93752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 PM and 9:31 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 63690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 10, 7, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - 4. Let o(i) = 7*i**3 + 2*i**2. What is the units digit of o(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes after 4:55 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 1\/2 (c) -1 (d) -27 (e) 0.115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**2 + 21*n - 35. Let t be -7 + (-5 - -1) + 4. Let d(q) = 4*q**2 - 64*q + 106. Let h(p) = t*r(p) - 2*d(p). What is the tens digit of h(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {l: 5, g: 1, f: 3, s: 2, w: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together -743.16 and -0.3.\nAnswer: -743.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1269 - -1281. Suppose -3*j + t*s = 8*s, s = 0. Factor -4\/13*q**3 + 0 - 8\/13*q**5 + 0*q**2 + j*q + 18\/13*q**4.\nAnswer: -2*q**3*(q - 2)*(4*q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*c = -5*c - 9*v + 133, -15*v = 5*c - 56 - 131 - 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y*y\/((y**0\/y)\/y))*y)**(-1\/3)*y**(-2\/5)\/((y\/(y*y*y**(1\/6)))\/y) assuming y is positive.\nAnswer: y**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 48380 and 2124.\nAnswer: 435420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 43*d**4 + 18 wrt d?\nAnswer: 172*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 10343431 (base 6) to base 11\nAnswer: 1a1395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 61? (a) -0.5 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 31 - 17. Let b(s) = s - 11. Let c be b(14). Sort d, c, -5 in descending order.\nAnswer: d, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/9729684 and -7\/78.\nAnswer: 126485892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -126317 divided by 8.\nAnswer: -126317\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -31 - 1220?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 130115 divided by 26023?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (315\/336)\/((-3)\/(-4))*(-4)\/10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*s**3 + 90*s**2 + 1215*s.\nAnswer: -5*s*(s - 27)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-37 + 37 - 10*v)*(0 + 3 - 1)*(2*v**2 + 3*v - 3*v).\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9436 + 9429. Let v(b) = 2*b**3 + 11*b**2 - 21*b + 7. What is v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -49201 + 147605\/3. Solve -2\/9*b**2 + 4\/9 - 2\/9*b**4 + w*b - 2\/3*b**3 = 0 for b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 32682 and 43576.\nAnswer: 130728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 152*c - 1043. Let x(z) = 19*z - 130. What is 6*o(y) - 49*x(y)?\nAnswer: -19*y + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 154 and 179.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -3*i - 16 + 618, -2*i + 404 = -4*r. Calculate the greatest common factor of i and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -30 - 122?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2618 or 1?\nAnswer: 2618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 16 = 0, 223*b - 221*b + 18 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p + 2. Let j(l) = -l - 25. Let a(w) = -j(w) + 2*u(w). Let k(y) = -8*y. What is k(a(i))?\nAnswer: 8*i - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8347 divided by 68.\nAnswer: 491\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/(d**(-2\/3)*d*d))\/d)**(-25\/3))**(-16)*(d**(2\/7)\/(d\/(d\/d**6)*d))\/(d**(-5)*((d*d**(1\/6)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(-22385\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 929 (b) 10\/9 (c) -6669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -205*w - 6916. Is i(-36) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**(1\/4)*i*i*i)\/(i**2*i)*i**(1\/4)\/i**(-1\/12)*((i*i\/(((i**(-3)\/i)\/i*i)\/i))\/(i*i*i**2*i))\/(i**(6\/11)\/(((i\/i**(2\/3))\/i)\/i)) assuming i is positive.\nAnswer: i**(181\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/7, 1\/3, 0.3, 1\/8, -2 in decreasing order.\nAnswer: 4\/7, 1\/3, 0.3, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/3, -6226, 3\/2?\nAnswer: -6226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3 + (-4 + 319)\/3. What is the greatest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4318633.\nAnswer: 11, 419, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i + 5*b = 11, -17*i - 2*b - 2 = -13*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the first derivative of v**9\/1008 - v**6\/360 - v**3 + 3. Let q(b) be the third derivative of m(b). What is the third derivative of q(f) wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 235*p**2 - 2291*p - 2285. Give c(-1).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 356.8358 litres to millilitres.\nAnswer: 356835.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 17, 64, 173, 368, 673?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 868*f**4*u - 20*f**4 - f**2*u + 9*f**2 + 4265*u + 1 wrt f?\nAnswer: 20832*f*u - 480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 7674.\nAnswer: -2\/3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 - 531123?\nAnswer: -531124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 814154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -231 (base 6) in base 13?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4c (base 16) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 7.976. Let q = 34.724 + -34.2. Let b = x + q. What is the third biggest value in b, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11, 25, 39?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -8. What is the biggest value in 65, x, 1\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -607*s**4 + 2358*s**3 - 18500*s**2 + 47?\nAnswer: -14568*s + 14148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-10)\/3*6\/4. Let b(n) = -n**3 - 6*n**2 - 7*n - 4. Let y be b(i). Find the third derivative of 13*l**2 - y*l**2 - 9*l**3 - 6*l**2 wrt l.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine fifths of a kilometer in meters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36409 is divided by 121.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -743*r - 161 = -750*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of 0*y - 1\/168*y**8 + 0*y**3 + 1\/30*y**6 + 3*y**2 + 0*y**7 - 1\/12*y**4 + 0*y**5 + 0. Let h(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 4 - 3)*(1 + 23*r**5 - 5 - 22*r**5).\nAnswer: 4*r**5 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 + 7*f**2 + 11*f - 8. Let u be b(6). Suppose -5*g = -u - 12261. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 26 = -o. Suppose 4*d + q = -0*q + o, 2*d = -4*q + 10. Is 26\/d*3\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-4)*(7 + 13\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2059 + 0 - (-4 - -3). Let h be i\/(-30) + (-3)\/5. Suppose 4*y - h = -0*y. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*x**4 + 10*x**2 - 10*x**2 - 8*x**2 wrt x?\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 1\/6, 2\/31.\nAnswer: 2\/31, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 152 a factor of 227992096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -4*p**2 + 3*p**2 + 2 - 10077*p**3 + 10079*p**3 as s*p + z*p**2 + g + i*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 20*k**2 - 2*k - 5. Let t be p(-2). Suppose -5*g = -319 + t. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 2. Suppose 10 = 2*s + 2*t - 2, -s = -5*t + 12. Suppose -s*q = -q - u. Are 3\/5 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -3*z + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 277*x - 10441 = -3516 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -6257981134 minus 15?\nAnswer: -6257981149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -7862024, 0.9, 3\/2?\nAnswer: -7862024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 + p. Let t be x(0). Suppose 12 = l - t. What is the highest common divisor of l and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -365\/7, -58, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4)\/(-3))\/((-11)\/(-33)). Solve 0 = -x*q + 353 - 369 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 128 a factor of 189952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 9195.774 centuries to months.\nAnswer: 11034928.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -421*n - 87248 + 51463 = 0 for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3115620 divided by -5\nAnswer: 623124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67*j**2 - 25*j**2 + 84*j**2 + 3*j.\nAnswer: -8*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-11*p + 990 + 493 + 378 - 6262 + 1664)*(0*p + 0*p + 2*p) to t*p + w*p**2 + g and give t.\nAnswer: -5474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3160077138 to the nearest integer?\nAnswer: 56215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 2 x when four letters picked without replacement from {x: 2, q: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 - 0) + (-60)\/(-5). Factor -13*v**2 - 37*v - 8*v**2 - 14 - v**4 - l*v**3 - 12*v**2.\nAnswer: -(v + 1)**2*(v + 2)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 4*c. Let j(w) = -5*w**2 + 6*w - 6. Let z(i) = -4*i**2 + 5*i - 5. Let q(k) = -5*j(k) + 6*z(k). Calculate q(l(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 3 (c) 0.2 (d) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -65678\/13 - -5046. Let h = l + 266\/39. What is the smallest value in -11, h, 2\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7374\/35207 + 2\/1853. Let j = y - -7\/57. Determine o so that -3*o**2 + j - 1\/3*o - 11\/3*o**3 - 4\/3*o**4 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144*z - 18*z = -133*z + 217847749. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -361*b**2 + 72*b**2 - 410*b**2 - 511*b**2.\nAnswer: -1210*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 765 (b) -0.11 (c) -9 (d) 13 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) 5278 (c) 0 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -14 + 11. Let t(q) be the third derivative of 0 + 1\/120*q**6 + 1\/15*q**5 + 1\/8*q**4 + 2*q**2 - 1\/3*q**3 + 0*q. Calculate t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 394 + -433 - (-68 - 7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let t be 1*(-2 + (2 - -2)). Let v = t - -1. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(2 + 2 + sqrt(1700)))**2.\nAnswer: 2880*sqrt(17) + 61776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -1\/4, 1320?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (5*l - 5*l - l)*(-l**2 + 8*l - 8*l)*(-1 + 7 + 1) in the form x + y*l**2 + s*l + k*l**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9975602.\nAnswer: 2, 7, 13, 59, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 477840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11328518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-8330)\/4166 - -2)\/1. Let n = -68731\/16664 - v. Find the common denominator of (-2)\/(-2) - 103\/6 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 60\/19, 2\/19, -0.01, 10?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -d**3*v**2 - 3*d**3 + 46*d**2*v**2 - 2*d**2*v + 4*d**2 - 1170*d*v**2 + 34*d*v - 4*v**2 + 85 wrt v?\nAnswer: -2*d**3 + 92*d**2 - 2340*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 9\/(-3) + (1 - -21). Let o = h + -9. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -42 + o**2 + 89 - 48. Let r(x) = 6*x**2 - 3. What is -6*q(d) + 2*r(d)?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-90)*-6*1)\/((-4)\/66)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*h = -c - 26*h + 32, 0 = -c + 3*h + 26. Solve 0 = 2*u - 4*i + 16, c*i - 20 = 13*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/10*((-14)\/(-7) - -2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 2351521 divided by 3\nAnswer: 2351521\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 816 and 77826.\nAnswer: 622608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 3*h + 2. Let u be o(4). Suppose q - 10 = u. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**3\/4 - 3405*y**2\/2 + 6815*y\/4.\nAnswer: -5*y*(y - 1)*(y + 1363)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -437 - -438. Let q = 1.8 + -2. Which is the smallest value? (a) 1\/7 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*f*m**3 + 454*f*m**2 - 3*m**4 - 1 wrt m.\nAnswer: -12*f - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 5*y = 4*y - 56621. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1242*c**4 - 195*c**3*g + 2*c**3 - 4*c**2*g + 53*c + 2*g + 2565 wrt c?\nAnswer: 29808*c - 1170*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -c**2\/6 - 379*c\/6 - 10934\/3 = 0.\nAnswer: -308, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -3 - g + 2 - 2*g - 1. Let q = 261 - 263. Determine m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/8)\/(6\/24). Solve -u*j = -6*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20279364.\nAnswer: 2, 3, 7, 241421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -15 + 14 + j**3 - 2*j**3 - j**3 - 257*j**2 + 212*j**2 - 2*j**4 as a*j**4 + p + g*j**3 + d*j + y*j**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 869.2 times -1810?\nAnswer: -1573252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30003873 is divided by 1438.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - 11.4027401?\nAnswer: -11.6027401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r - 22 = 3*c, 23*c + 3*r = 26*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*t + 250 + 14 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 728, 1603, 2478, 3353, 4228, 5103?\nAnswer: 5978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 + v)*(4 - 1 - 1) + 4 - 4 + 3*v - 848 + 848 - 140*v + (1 - 6 + 4)*(-3 + v + 3) as c*v + g and give c.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 at most as big as 419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -1.45 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 67269300 rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2\/7, -4, 776, 2, -0.1 in descending order.\nAnswer: 776, 5, 2, -0.1, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 4308805, 4308730, 4308655, 4308580?\n\"Answer: -75*h + 4308880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2*y**2 + 13*y + 6. Let t be (-1)\/2*6 + (-12)\/4. Let j be s(t). Suppose 7*g - 210 = -j*g. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -2*w**3\/5 - 134798*w**2\/5 - 53918*w - 134794\/5 = 0.\nAnswer: -67397, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t. Let h(r) = 0*r - 2*r + 7*r**2 - r. Let j(q) = -22*q**2 + 10*q. Let g = 10 - 7. Let z(u) = g*j(u) + 10*h(u). Calculate k(z(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1701708.\nAnswer: 2, 3, 109, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1*13908616\nAnswer: -13908616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 2*d - 25 + 3 = 0, -5*p = 3*d - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.6? (a) 0.037 (b) -3.6 (c) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1498, -1306, -1114?\n\"Answer: 192*x - 1690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes after 2:47 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1071b (base 13) in base 11?\nAnswer: -20402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1630*d**2 + 3113*d**2 - 1482*d**2 - 2586*d.\nAnswer: d**2 - 2586*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3462893*l**6 - 5*l**4 - 501344655*l**2?\nAnswer: -415547160*l**3 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 310 + -305. Solve 5*h = 5*f - 20, 15 = -5*h + s*f - f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (m + m - m)*(5*m**3 - 12*m**3 + 0*m**3).\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 55 = 67*n - 72*n - 4*v, 3*v + 45 = -4*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 591.9537ml?\nAnswer: 0.5919537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the first derivative of x**6\/8 - x**5\/20 - x**4\/8 + 18. Factor s(i).\nAnswer: i**3*(i - 1)*(3*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 4, 5, -2\/9, -124\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 152 = 44. Let y(i) be the first derivative of -5*i**2 - 72*i - 48. Does 18 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 + (-1 - -13)\/(-4). Suppose s*w + 69 = 4*m - m, m - 3*w - 30 = 0. Let a = m - 20. Solve -4*x + y - 12 = a, 0 = -y + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24989999 is divided by 780937?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 121541274.\nAnswer: 2, 3, 6752293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 7120 (base 9) to base 10\nAnswer: 5202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 3 y when four letters picked without replacement from {y: 3, f: 4, b: 13}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 484 = 79*g - 74*g, -g = 2*r - 1100. Let p be (0 - (0 - 1)) + 95. Calculate the greatest common divisor of p and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b**3 - 9*b**2 + 17*b - 17. Let r be s(7). Solve -2*v = 4*m + 6, -4*v = -r - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -3.3. Let y be -2*(-2)\/((-8)\/(-10)). Suppose 1 = y*d + 11. Are d and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(20\/(-55)) + 2. Let f be (2 - -3)\/(1\/w). Suppose 0 = -4*k - 2*c + 164, -5*c - 71 = -3*k + f. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 11 - n**2 - 1 + 5*n - 2. What are the prime factors of q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14001 is divided by 604.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + b = -d + 6, 4*b = 5*d - 10. What is the third derivative of y**2 - y**2 + y**d + y**3 + 7*y**2 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-2*(sqrt(637)*-1)**2 + -2.\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*m**3\/2 - 39*m**2 + 81*m\/2 - 5.\nAnswer: (m - 10)*(m - 1)*(7*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4*(-4)\/6)\/((-32)\/144).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -88*w + 114. Let o(a) = -43*a + 58. Determine -7*o(b) + 4*z(b).\nAnswer: -51*b + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 331 - 1843. Let t be (-55)\/2 + (-2)\/4. What are the prime factors of p\/t*2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 123 - 81. What is the greatest common factor of 63 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42 - -60. Let v = b + -16. Solve -2 - v = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 214, 317, 610, 1183, 2126, 3529, 5482, 8075?\nAnswer: 11398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 4*u = -738, -2*t + 2*u + 156 + 606 = 0. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k + 4. Let s be i(-4). Let z be s\/6*(-1)\/(-6). Let p = -29 + 57\/2. What is the closest to p in -2\/5, z, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -51001*q**4 + 3*q - 262120?\nAnswer: -612012*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 90*t + 94*t + 7 = 0, 0 = 3*g - 5*t - 11. Put -5, -2, -6, g, 10 in decreasing order.\nAnswer: 10, -2, g, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -8. Suppose -58 = -5*u + r*z, 3*u + 0*z + 3*z - 24 = 0. Let w = 27 - u. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -59 + (17 - 18) + (4 - -6) - -9.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -3*v**2 - 3*v - 4. Let p(o) = -o**2 - o + 1. Let l(m) = -n(m) + 2*p(m). Let x be -1*(0 + 2 - 4). Suppose -x*z + 9 = 1, -4 = -5*y - z. What is l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.6 - -0.09. Let u = -991.2976 - -992. Let b = u - n. What is b rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 26*f**2 - 9*f - 4*f + 50*f**2 + 6 + 7*f. Is 84 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -3*a. Let o(q) = -57991*q**2 + 4. Give o(g(d)).\nAnswer: -521919*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.48 - 1.02. Let h = q + -0.83. Round h to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -u**4\/4 + 14*u**3 - 297*u**2\/2 - 1364*u - 4805\/4 = 0 for u.\nAnswer: -5, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 17*h**3 - 2*h**2 + 2*h - 1. Calculate v(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3646, 7325, 10986, 14629, 18254, 21861, 25450?\nAnswer: 29021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-o**2 + 0*o**2 + 0*o**2)*(-1 + 1 - 1 - 8*o + (-1 - 1 + 5)*(3 - 2*o - 3))*(8*o + 0*o + 0*o) as y*o**4 + g*o**3 + b*o + x*o**2 + u and give y.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -3\/11, -6, -0.9, -3 in decreasing order.\nAnswer: 0.4, -3\/11, -0.9, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -174015.0360185 + 174015. Let z = 0.036 + i. What is z rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2150173 + 4606*r + 2150173. Let f(q) = -2*q**2. Give i(f(t)).\nAnswer: -9212*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 14 = 2*i + j, 0 = -4*i - 5*j + 42. Let v be -1*12\/i*2. Let p = -15 - -20. Which is the nearest to v? (a) -0.1 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 3 h when four letters picked without replacement from yahyyahhyhhahy.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2.9182 (b) -2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 0.41, -1, -0.5, -3.07 in decreasing order.\nAnswer: 0.41, -0.5, -1, -3.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -3*z**3 - 5*z**2 + 17*z + 64. Let s = 223 + -227. Calculate the remainder when h(s) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (1 - 44\/(-24)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/15290 and -127\/726.\nAnswer: 504570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 21*-18765\nAnswer: -394065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from ssvsl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 191*m*v**3 + 9*m*v**2 + 11*m - 820*v**3 + 2*v**2 + 150 wrt v?\nAnswer: 1146*m - 4920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -229, -915, -2059, -3661, -5721?\n\"Answer: -229*d**2 + d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 25*p + 29. Let l be h(-2). Put 4, 3, l, -5 in ascending order.\nAnswer: l, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -58954 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 181946116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ululbulull. Give prob of picking 1 u and 1 b.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -917, 1048\/5, 0.3?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from cai?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-117)\/(-12) + 5\/20. Calculate the remainder when 130 is divided by x*(-14)\/(-4) + 1 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30*-26078.\nAnswer: -782340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8277 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-a + 2 - 2)*((0*a + a - 4*a)*(-2*a - 5*a + 2*a) + 2*a**2 - 1 + 1).\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -3 + (-3665670)\/(-12) + 93\/62 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*((1 - 1 - 1)*(4*z**2 - 45 + 45) + 2*z**2 + 0 + 0).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -3 from 1517831576012.\nAnswer: 1517831576015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15 - -17. Suppose y*d = -0*c - c + 71, 6 = 2*c. Do d and 34 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from kkjbkljbkkbbkkk?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 3*n = -15. Let l(v) = v**2 - 5*v + 5. Calculate l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*a = -a - 104. Solve -7 = -2*t - 5*g, -7*t = -a*t + g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1550\/7 + -221. Let g be -2 + (52\/(-12))\/(3\/(-18)). What is the third biggest value in g, 3, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 - 58*s + 314. Let l be c(6). Solve 0 = 5*d - 2*w + 23 + 7, -3*d - 2 = l*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the first derivative of -11*d**6\/6 + 271*d**3\/3 - 17*d**2\/2 - 111*d + 7953. What is the second derivative of y(u) wrt u?\nAnswer: -220*u**3 + 542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -22*s - 38. Calculate the remainder when g(-7) is divided by 105.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 15 - 50 = -5*y, 15*t = -114*t + 5*y + 630 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -d41 (base 15) to base 12\nAnswer: -188a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 AM and 10:26 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 3746 = 856*g - 853*g, -4*g - 3*z + 4988 = 0. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 2101 = -3*b, 3*i - 455 - 808 = 3*b. Suppose -2*f - 85 = 4*r - 247, -5*f + i = -4*r. What are the prime factors of f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the first derivative of -c**7\/14 + 19*c**3\/6 - 6*c**2 + 11. Let z(t) be the second derivative of h(t). What is the first derivative of z(k) wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 535095 is divided by 203.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/5, -38, 2\/273, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, f: 5, t: 3}. Give prob of sequence fty.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(4\/80*-4). Suppose -2*i = 2*g + 10, -x*g + 7 = -i + 2. Let f(p) = -p - 11. Determine f(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (576\/(-7))\/(2\/(42\/(9 + -10))) and 368?\nAnswer: 39744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -51909752*u**3 + 24*u**2 - 86704*u?\nAnswer: -311458512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 4076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n**27\/n)*n\/(n\/n**(-6))*n**(1\/12)\/((n\/n**8)\/n))**28 assuming n is positive.\nAnswer: n**(-1925\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 19 = -3*c, -4*m + 2*c = 4*c - 26. Suppose 3*j - m = 2. Solve 0*r + 1 = -z + 3*r, -2*z - 2 = -j*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -3569*g + 3671*g + 5779*g - 4 + 72 + 74. Is k(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lssa when four letters picked without replacement from ssxeasxlaleqxex.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 117.8 + -0.8. Let l = 121 - g. Are l and 19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 385 = -58*j - 311 - 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u - 50 + 2. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 3)\/(96728\/(-9672) - -10). Let t = -1186 - g. List the prime factors of t.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -3 + g**3 + 8 + 6*g**2 + 5*g + 0. Let h be (-18)\/72 - 38\/8. Let p be b(h). Solve p*t = -4 - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-1*sqrt(153)*4 - sqrt(153)))\/(6*(sqrt(9) + sqrt(36)*-2)).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 7:29 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = r + 18, -385*r + 385*r - 24 = 24*n for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 776*n**2 - 1018*n**2 - 834*n**2 - 799*n**2 to s*n**2 + x + h*n and give s.\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000611169 to 6 dps.\nAnswer: 0.000611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 133 + -191. Suppose 0 = 5*l - 4*w - 299, -3*w = -5*l - 134 + 437. Let f = l - c. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.4 (c) -1\/7 (d) 1.9 (e) -1\/716\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3*1*(4\/(-1) - -3). Sort r, 7, -14 in descending order.\nAnswer: 7, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 3*w - 55. Suppose 3*m = -m + w. Let h(u) = -u + 3 - 6*u**2 + 2*u**3 + 6*u - u**3. Determine h(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 5*a + a = -17, -22 = o - 5*a. Suppose 0 = 4*n - o*m + 6 - 29, m = -1. Suppose -n*p = -0*p - 45. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 16 = u - 5*j, 3*u - 2 = -2*j. Let m be (-2)\/(-2)*1*5. Let t = u + m. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 89838808 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(1584) + -5 + sqrt(11)*-2 - -6*(sqrt(11) + -1 + sqrt(396)).\nAnswer: -11 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3744 divided by -26.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 11519, 22603, 33689, 44777, 55867, 66959, 78053?\n\"Answer: w**2 + 11081*w + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19\/28 + 451\/252. Let s = -109\/90 + y. Let z = 0.03 - 5.03. Which is the second biggest value? (a) -4\/7 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 AM and 5:47 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/8078160 and 129\/22551530.\nAnswer: 541236720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 492*c**3 - 4*c**2 - 2*c + 2. Let n be w(-2). Let p = -1061 - n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 176 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -452*s - 7490 - 2961 = -3219 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m - 6. Let c be 3\/6*56\/(-14) + (4 - 1). Let t(b) = 1. Give c*v(r) + 6*t(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:43 AM and 11:18 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the third derivative of u**5\/60 - 5*u**4\/3 + 2*u**3\/3 - 44*u**2. Let b be o(40). Solve 0 = 3*z - 2*n, -b*z - n - 2*n = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (379*y**4 + 330*y**4 + 347*y**4 + 2*y**2)*(4 - 1 - 5) to b*y**4 + p + m*y**3 + u*y + i*y**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - 4*o + 10, 2*o = -4*r + 12 - 4. Solve r*s - 12 = -2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/3 (c) 2 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 786782 = -q. Let n = q + 483218. Round n to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3033 - 3032.7. What is the third smallest value in -3\/4, 19, 31, d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k**2 + 340 - 340.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1306183 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1261634317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -48, 0.3, -5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/9? (a) 2 (b) 6.8 (c) 3\/4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4085 + 4070. Which is the closest to 1? (a) -3 (b) m (c) 3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -r + 34, -z - r - 14 = z. Let d(v) = -v**3 - 8*v**2 + 2. Let s be d(z). Let w = -0.5 - -0.3. What is the biggest value in s, w, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.16*-144\nAnswer: -23.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ubo when three letters picked without replacement from buhoi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45930210 divided by 15.\nAnswer: 3062014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -4*k**2 + 507*k + 6035. Calculate m(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/9 of a week in minutes?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 312*g**2*o**3 - 397*g**2 - 2*g*o - 21496*o**3 - 9 wrt g.\nAnswer: 624*g*o**3 - 794*g - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 274\/12411 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 281\/5*b + 28 + 1\/5*b**3 + 142\/5*b**2.\nAnswer: (b + 1)**2*(b + 140)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.17 (b) -5\/3 (c) -13 (d) 5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 3, 0.5, 480\/37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/5 (b) 27 (c) -2\/7 (d) 5\/6 (e) -20 (f) 57\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the first derivative of 6*g**2 + 5*g - 8. Let z(f) = -187*f - 77. Let v(i) = -77*j(i) - 5*z(i). Let k(n) = 2*n**2. Give k(v(s)).\nAnswer: 242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**3 + 16*l**2 - 6. Let v be i(-16). Let a = 3 - v. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 28878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 100170444?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.375321 tonnes to grams.\nAnswer: 5375321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9.55 - -24.55. Which is the fourth biggest value? (a) 1 (b) 2 (c) 3 (d) o (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00052734 rounded to 5 dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -3*l + 113, -2*l = -l - 2*n - 26. Let c be (-1265)\/(-33) + (-2)\/6. Suppose -w = w - c. Calculate the remainder when l is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 20112 (base 4) to base 10\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 829.5264 kilograms in nanograms?\nAnswer: 829526400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m = 8*g - 11*g + 6, 0 = -2*m - 2*g + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 41107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1483991, 2968012, 4452029, 5936042, 7420051?\nAnswer: 8904056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/4 + 7\/4. Solve -s*w**3 + 7*w**4 - 4*w**4 - 6*w**2 + 5*w**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 5*y - 170, -5*t - 3*y + 6*y = -160. Let l be 0 + (-4 - (-3 + 2)). What is the units digit of 10\/(-15) - t\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (0 + sqrt(11))*-2 + -1)**2.\nAnswer: 4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51 + -1 + 12 + (1 - 3) + -2 + -12.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -7012821000 to the nearest 1000000.\nAnswer: -7013000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 PM and 8:25 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 260800.754 rounded to the nearest 100?\nAnswer: 260800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 24\/5*s + 2*s**3 + 16\/5 - 36\/5*s**2.\nAnswer: 2*(s - 2)**2*(5*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 15*i**5 - 189*i**4 + 699*i**3 - 171*i**2 - 3090*i + 3600 = 0.\nAnswer: -2, 8\/5, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -83 + 85. Sort s, 3, 1.\nAnswer: 1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 0*b - 5*b = 2, -5*b = 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t**4 - 31063228*t**3 - 93189744*t**2 + 186379408*t + 248505920 = 0.\nAnswer: -4, -1, 2, 7765810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3\/109 - -315\/436. Let i(q) = q**3 + 10*q**2 + 12*q + 27. Let b be i(-9). Suppose 0*k + 1\/4*k**5 - 1\/4*k**2 + b - y*k**4 + 3\/4*k**3 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1090\/4*(-2)\/(-10). Let t = -985\/18 + h. Is t bigger than 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 107*d - 6. Let z = -30 - -26. Let p(f) = 54*f - 3. Let b(w) = z*l(w) + 7*p(w). Is b(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 54*o**3 + 8*o**2 - 40*o. Let i(r) = -18*r**3 - 3*r**2 + 13*r. Let u(y) = 8*i(y) + 3*q(y). What is the second derivative of u(n) wrt n?\nAnswer: 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14671, 29344, 44017, 58690, 73363, 88036?\nAnswer: 102709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5738955391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1435 and 92414?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 PM and 9:21 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**3\/5 - 878*c**2\/5 + 25414*c - 6074994\/5.\nAnswer: 2*(c - 177)*(c - 131)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 2*o + 10 = 0. Which is smaller: o or 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4 - -5)*1)\/((-1)\/(-107)). Let p = g + -104. Solve -9 = -2*x - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/17 + (-5412)\/20910)\/(11\/143).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + (2 + -5 - -4) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -55, -17, 21, 59, 97, 135?\n\"Answer: 38*k - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 102121120111111 + 220?\nAnswer: 102121120112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-54)\/(-45)*4\/(-6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u - 47*u + 3*u**2 + 50*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34, 154, 672, 1688, 3370, 5886, 9404?\nAnswer: 14092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11265 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9)\/(((-6)\/15)\/2). Let w = l + -20. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1 and 0\/(-4) - (-7)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*w - 14 - 17*w - 9 + 11*w.\nAnswer: -w - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2349 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**3 - 15*t**2 - 15*t - 9. Let j be l(-14). Suppose -17 = j*u + 3. Is 39 a factor of 116*(-6)\/(-9) + u\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34885 is divided by 4359.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 22673 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -737 and -44.\nAnswer: 32428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 15 = 5*z, -t = -2*z - 6*t - 8. Solve y = z - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 - 5)\/(170\/(-4505)). Solve -11*u = -d*u + 95 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -69.353 * 0.1.\nAnswer: -6.9353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**4 - 44412*i**3 + 133218*i**2 - 133212*i + 44403.\nAnswer: 3*(i - 14801)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a + -5700?\nAnswer: -570a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5559 - -8479. Suppose 2*j - 1159 = -s, -j - 5*s - m = -6*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -560.88386 - 0.01614. Let x = 519 + o. What is x rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 + 4*i**2 - 2*i. Let a be p(3). Suppose -3*n = 2*f - 49, a*n + 51 = 7*f - 4*f. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 677361 is divided by 6911?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 162 = -0*q. What is the remainder when 2 + -2 + q + -4 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the second derivative of 0*q**3 - 2*q**4 - 258*q - 79\/10*q**6 + 0 + q**2 + 0*q**5. What is the third derivative of n(m) wrt m?\nAnswer: -5688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-170)\/(-881110)*(-2556)\/(-36)\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(2 + 1 + sqrt(1377) + 3)**2.\nAnswer: -5652 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**2 + 11*j - 6. Calculate h(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*a**2 - 572055*a + 8579700.\nAnswer: 5*(a - 114396)*(a - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 110010 (base 2) to base 3\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1111 and 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 + 12*b**2 - 28*b - 14. Let l be j(-14). List the prime factors of (1 + l)\/((0 + 7)\/(-98)).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3\/2, -2\/5, -496, -3963?\nAnswer: -496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Suppose 12*d + 137 = 7*d - 4*h, -83 = 3*d + 2*h. Let t = d - -32. Solve -o + 6*o = 2*q + 7, 0 = -4*o - t*q + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 244\/11 - (-10)\/(-55). Let o be 6\/(-4) + c\/4. Suppose -o*a - a = -45. What is the lowest common multiple of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 345 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (126\/168)\/(6\/(-32)*14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 916919.5 years in centuries?\nAnswer: 9169.195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 5*h + 31 = 0, 4*h - 46 = -9*z + 9. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3139796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 29937841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1748561 to the power of 1\/2, to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 4*w - 101. What is the remainder when w is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3*((-4)\/3)\/(-2). Suppose -14 = -y*f + 4. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8*k*m**2*n**4 + 6*k*m**2*n**3 + 74*k*m**2*n - m*n**2 - n**2 wrt n.\nAnswer: 192*k*m**2*n + 36*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 78343 and 1727?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-63450)\/3780 - (-17 + 0).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 113\/220 and 37\/140?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58481787.\nAnswer: 3, 7, 13, 214219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -55.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3299371 from 0.4.\nAnswer: -3299370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -73, -65, -55, -43, -29, -13, 5?\n\"Answer: f**2 + 5*f - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11989643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 516 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 17*y**2 - y + 1. Suppose -2*b + 2 + 2 = 0. What are the prime factors of j(b)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 - 32*r - 15 + 7*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 18 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.6, -0.534, 214, -4, -1\/5 in descending order.\nAnswer: 214, -1\/5, -0.534, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -184 + 102. Which is bigger: u or -83?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that 5*l**4\/2 - 16475*l**3\/2 - 264805*l**2\/2 - 248325*l\/2 = 0.\nAnswer: -15, -1, 0, 3311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 9. Suppose -l + 0 - 2 = n. Let g(r) = r - 10. Let d be g(5). What is the third smallest value in -4, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-3)\/(6*sqrt(10)*-2).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 - -a0?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 5502916, 5502915, 5502922, 5502943, 5502984, 5503051, 5503150?\n\"Answer: a**3 - 2*a**2 - 2*a + 5502919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 16 + 45 = 3*b, 2*b - 62 = -4*l. Let a(k) = k**2 - 6*k - 7. What is the units digit of a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in -5*r**4 + 215*r**3 - 615*r**2 + 605*r - 200 = 0?\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from dsxxdddsxddxscxdx.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 37772 >= 37774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3242 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -700963840 by -160.\nAnswer: 4381024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/(-30))\/((-15)\/(1485\/(-154)))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 - 8*a**2 - 9*a + 2. Let k = 8 - -1. Let d be g(k). Let h(q) = 6 - 10 + 3*q**2 + d*q + q**3 + 5. What is h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13 - 12. Let n be 168\/70*(c - 6). Let g be (-2)\/n - (-75)\/(-18). Sort 0, g, 2 in increasing order.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times -1.48?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 280 and 135485?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the third derivative of -779*j**6\/60 - 5005*j**3\/6 + 7*j**2 + 143*j. Find the first derivative of w(a) wrt a.\nAnswer: -4674*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = 2*p - 14, 4*s - 10 = 2*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10 - 26*j**2 - 27*j**2 + 1365*j + 17*j**3 + 52*j**2 - 1364*j to the form l*j**3 + r*j**2 + p*j + s and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 17576239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2892 and 21139074.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of -3*r**4\/4 - 3283*r. Let c(o) = 2*o**2 + 314*o. Give c(w(x)).\nAnswer: 162*x**4 - 2826*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 7, k: 7}. What is prob of sequence kzk?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5)*1 + 2 - (sqrt(80)\/sqrt(2))\/sqrt(8))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -7140\/2189 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -306 - 1524 = 170*p + 40 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/56 and -65\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 343, 318, 213, -26, -453, -1122, -2087, -3402?\n\"Answer: -9*h**3 + 14*h**2 - 4*h + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 30 divided by 1694298?\nAnswer: 5\/282383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*j - 22*j + 401 = 4*z, -3*z = -5*j - 305. Solve -z + 80 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2, 41.\nAnswer: -4, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -189*i**2*n*r**3 - i**2*n*r**2 + 8*i**2*r**3 + 13913*n + 2*r**3 wrt r.\nAnswer: -1134*i**2*n + 48*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 + -3 + -1 + 3. Suppose -3*s - 2 = -4*s - 2*x, 5*s - 10 = -4*x. Suppose 3*j = 2*j + s. Solve -u = f - j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.117 + 4.583. Let q = z - -0.3. Let a = 10.7 - q. Round a to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + -34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 51*b - 22*b - 33*b. Let z(i) = -2*i. Let k(x) = x. Let n(l) = -3*k(l) - z(l). Determine c(n(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/5 > 110861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 5 = -5*c, 52*y - 51*y + 4*c + 11 = 0. Solve y*a = -v - v + 9, -5*a = -5*v + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 189811516.\nAnswer: 2, 47452879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 4*h)*(-1 + h + 1)*(-17 + 33 - 7).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 + -3. Suppose -2*g = x*g. Solve g = -3*c - 0 + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25589, -51163, -76721, -102263, -127789, -153299?\nAnswer: -178793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/14313740 and -19\/7156870.\nAnswer: 14313740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 327515 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 23088 divided by 3\nAnswer: 7696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3\/7, 27, 5, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 566 divide 367334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -f**3*s**3 + 10970*f**3*s - 2177*f*s**4 wrt s.\nAnswer: -6*f**3*s - 26124*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4702668, -4702657, -4702644, -4702629, -4702612, -4702593, -4702572?\n\"Answer: z**2 + 8*z - 4702677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is s in 5*s**2 - 541880625*s - 1083761270 = 0?\nAnswer: -2, 108376127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 + 9*x**2 - 3*x + 4. Suppose -3*q - 12 = z, 5*z + 4*q + 16 = -0. Suppose z = -l - 0*l + 5. List the prime factors of y(l).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -4091426, -4091419, -4091400, -4091363, -4091302, -4091211, -4091084?\n\"Answer: p**3 - 4091427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 268*c + 8 = 272*c + 2*y, 0 = 2*c - y - 4. Let l(w) = -w**3 + w. Let o(v) = -6*v**3 + 2*v + 3. Calculate c*l(a) - o(a).\nAnswer: 4*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.275527 rounded to three dps?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*i**2 + 7*i**2 - i**3 + 4)*(3 + 3*i + 0 - 4*i).\nAnswer: i**4 - 3*i**3 - 4*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 2*i. Let b(q) = -3445*q**2. Determine m(b(o)).\nAnswer: -6890*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (168\/(-120)*18\/7)\/((-33)\/(-110)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k**3*l*s**2 - k**3*l*s - 2*k**3*s**2 - 3*k**3*s + 3*k*l*s - l*s + l + 524368*s**2 - 37*s wrt s?\nAnswer: -2*k**3*l - 4*k**3 + 1048736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (16 - 12) + 1*-12. Let d be 33\/(-2) + (-4)\/i. Let f = 19 + d. Solve 0 = -f*z - z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 729\/(-45) + (-80)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 32*((-33)\/6)\/(-11). Let j(p) = 1 - 3*p**2 - 3*p**2 + 6*p**2 + n*p**2. Give j(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (5 + (6 - 13)) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 - 10*n + 21. Suppose -2*x + 13*x - 220 = 0. Suppose -k + x = 14. What is y(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 + 12*k - 9. Let a be d(-13). Suppose -4*t + 12 = a*b, -2*b = 5*t + 3 + 6. Solve 23 - b = p + 5*z, 4 = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -23.619 + 25.619. Let f = 0.2 + 0.8. What is the biggest value in -2, m, 0.3, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/8)\/((((-713)\/92)\/31)\/(5\/(-10)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.5 (b) 141 (c) -0.1 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-568 + 323*h + 568)*(-24*h**3 + 6*h**2 - 6*h**2).\nAnswer: -7752*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/5*2)\/(11\/(110\/(-40))).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the second derivative of -7*d**6\/30 - 2*d**3 - 14*d. What is the second derivative of v(a) wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12220424 is divided by 125983.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3329 and -0.5?\nAnswer: 0.16645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44 + 25 + 21 - 83*c**2.\nAnswer: -83*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-11 + (-290)\/(-30))*(-2 + (-198)\/(-96))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -1 + 69*t**2 + 3*t**4 - 69*t**2. Let p(w) = -10*w**4 + 3. Let i(v) = 14*j(v) + 4*p(v). Find the first derivative of i(b) wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 4*m - 4 = 0, -3*b + 2*m = -7*b - 2. Suppose b*d = 3*d + 3*s - 21, 0 = -5*d - 3*s + 41. Calculate the greatest common divisor of 80 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 162*d = 1129 - 157 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 40 + 15423?\nAnswer: 15463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 10110100011 (base 2) to base 11.\nAnswer: 10a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d + 4. Let h(x) = x**3 - 13*x**2 + 2*x - 17. Let t be h(13). Is 7 a factor of m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 2*x**3 - 27*x**2 + 127*x - 56. Give f(10).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 607987.5l in millilitres?\nAnswer: 607987500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnrnnnnrnrr. Give prob of sequence rnnn.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.4, 2\/7, 3\/8, 1\/52?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 102, -5, 4, -4, 16 in descending order.\nAnswer: 102, 16, 5, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 + 2*c**2 + 13*c - 17. Let m be u(4). Solve m*d + 6 = -0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 212459 and 16237?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 4*c**2 - 8*c + 9. Let p be f(6). Let y = 22 + -7. What is the highest common factor of y and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s, -8*t + 4*t - 5*s + 20 = 0. What is the smallest common multiple of t and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 + 6. Let i = n + -5. Let k = -11 - i. Which is the biggest value? (a) 3\/7 (b) -8\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 441 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/10 + 9\/90. Let c = -2.2 + -1.8. What is the third biggest value in c, 2\/9, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-29)\/(-4) - (-3)\/(-12) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -27568 - -27565.7947. What is w rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 92, 0.3, 5, 3\/2, -2\/19, 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 a when three letters picked without replacement from {a: 2, f: 1, n: 4, p: 8, g: 1, k: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1.308428 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 37018853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -847864 + 70*m + 115*m + 847865 to i + u*m and give u.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1378?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 3. Let x(t) = 6*t - 18. Calculate -3*q(m) + x(m).\nAnswer: 6*m - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the second derivative of 0 + 3\/2*x**4 + 0*x**2 + x**5 - 19*x + 0*x**3. Find the third derivative of j(i) wrt i.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2316*o**3 + 3*o**2 - 128*o + 5474738?\nAnswer: 6948*o**2 + 6*o - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Is 0 <= 65\/150296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pnpht. Give prob of picking 1 p, 1 t, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together -1582 and -3939771878.\nAnswer: -3939773460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find k such that k**3\/5 - 22*k**2\/5 + 129*k\/5 - 108\/5 = 0.\nAnswer: 1, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/114 - (-4060)\/(-665)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2149*d + 5*r - 3 = -2151*d, -4*r - 12 = d + 3*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -23, -3, 8, -1 in increasing order.\nAnswer: -23, -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 363291, 726525, 1089725, 1452891, 1816023, 2179121?\n\"Answer: -17*l**2 + 363285*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/733608 and -85\/1584?\nAnswer: 16139376","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 21 = 3*g, -2*g - o = -17 + 5. Let p = 8 - g. Suppose -15 = p*t - 6*t. What is the highest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7518150*k + 1335893.\nAnswer: 7518150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -246\/7*n - 484\/7 - 2\/7*n**2.\nAnswer: -2*(n + 2)*(n + 121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13) + (sqrt(208))**2)*-1*-3 - (sqrt(39)\/(sqrt(3) - (sqrt(75) - (sqrt(75) + -1*sqrt(75)))))**2)*-6.\nAnswer: -29913\/8 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 7, j: 9}. Give prob of picking 2 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -7.8 times -3\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 9*r**4 + 2*r**3 - 5. Let s(z) = z**4 + z**3. Let p(d) = -k(d) + 2*s(d). Find the first derivative of p(b) wrt b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4869, 5328, 6189, 7452, 9117, 11184, 13653?\n\"Answer: 201*n**2 - 144*n + 4812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - m - 4 = -4*m, 5*m = 5*b + 15. Let a(p) = 10*p**2 + 8*p - 1. Let c be a(-1). Let h be b + c + -3 + 2. Is 3\/38 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 375, 752, 1175, 1668, 2255?\nAnswer: 2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1.6*-0.4\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -11, -23, -25, -11, 25, 89, 187?\n\"Answer: k**3 - k**2 - 16*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**2 + 357*h + 7068. Calculate f(-20).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.3, -1\/2, -5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 7, c: 2, d: 1}. Give prob of sequence cdc.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(-3)*b*b**(-2)\/b)**(-16) assuming b is positive.\nAnswer: b**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2119, -3648, -5187, -6742, -8319, -9924?\n\"Answer: -o**3 + o**2 - 1525*o - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -5*r + 10. Let g be l(2). Suppose -5*z + 16 = -3*x, g = -2*z + 6*z - x - 10. Solve -z*s = -3 - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/14)\/(-44 + 6302\/161).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -1. Let k(f) be the second derivative of f**5\/120 - 7*f**4\/24 - 7*f**3\/6 + 16*f. Let m(a) be the second derivative of k(a). Give m(b) - 5*u(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 6*sqrt(200)*1.\nAnswer: -3 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -7*x**2 + 6*x - x - 4*x + 3*x. Let j(m) = 14*m**2 - 7*m + 1. Let w(a) = 4*j(a) + 7*q(a). What is the first derivative of w(u) wrt u?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 192\/120 + 8\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*m + 5*m + m + (0 - 1 + 2)*(3*m - 3*m - 2*m) + (0 + 0 + 2*m)*(-6 + 3 + 2) - 3*m - m + 2*m to v + k*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 2*t**4 + 26*t**3 - 118*t**2 - 1386*t + 4356 = 0. Calculate t.\nAnswer: -11, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 78*b. Let z(c) be the third derivative of c**5\/120 + 7*c**3\/3 + 25*c**2. Let x(f) be the first derivative of z(f). Give q(x(l)).\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 minus 392103587425?\nAnswer: -392103587424.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -y + y - y + (-17*y + 3*y - 4*y)*(-3 + 5 - 1).\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (4*w + 0*w + 0*w)*(81 - 49 + 101) as t + p*w and give p.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2 - 2 - 2*r)*(4 - 2*r - 4) - 3*r**2 + r**2 - 11*r**2 + (-1 + 1 + r**2)*(0 + 1 + 0))*(2 - 4 + 1) to t + l*r**2 + n*r and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(252)\/(sqrt(4)*1)*1)**2 + sqrt(315)\/sqrt(245)*2.\nAnswer: 6*sqrt(7)\/7 + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 345 minutes before 5:55 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4 - -2)\/(-1 - -2). Let l(u) = u**2 - 6*u - 3. Let z be l(h). Which is the second smallest value? (a) z (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s = -5*s - 80. Suppose -5*c = -s + 10. What is the common denominator of (-7 - 1236\/(-176))*76\/c and -27\/76?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6724975 and 4975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -x + 3*d + 7, 0*x - 4*x - 14 = 2*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -6*g**2 + 25*g**2 - 5*g**2 + 6*g**2 in the form a + t*g + j*g**2 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h**4\/5 - 324*h**3\/5 + 9066*h**2\/5 - 17172*h\/5 + 8427\/5 = 0.\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(102))\/sqrt(6) + -5 - sqrt(136)\/(-6*-1*sqrt(8) - sqrt(8)).\nAnswer: -5 - 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, v: 1, t: 2}. Give prob of picking 1 v and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 + 8*r**2 - 20*r + 20. What is the remainder when 68 is divided by y(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 27 + -34 + -5 + 18 + 18\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10212.49 - 10158. Round o to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 4*p**2 - p + 2. Let l = -8 + 11. Suppose -2 = -l*k + 4. Let a be b(k). Solve -5*d = -d - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10127.3*-4.\nAnswer: 40509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(152)\/sqrt(8) + -5.\nAnswer: -5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do 352 and 352 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*u + 95*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 292 - 2*f + f - 138 - 141. Calculate p(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -391*i. Let w(m) = -41*m. Determine w(x(f)).\nAnswer: 16031*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 18523516*r**2 - 80*r.\nAnswer: 4*r*(4630879*r - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*m + 18*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 2359*g + 311384. Give y(-132).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -14614 + -1?\nAnswer: -14615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2773*15010.\nAnswer: 41622730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n**(3\/4)*n))**(2\/57)\/(n\/n**(-3))**(4\/25) assuming n is positive.\nAnswer: n**(-633\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 48234197 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -4, 108, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 5) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 11 - 12, 4*j + 5*m - 15 = 0. Which is the third smallest value? (a) 3 (b) j (c) 1\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 54 = -2*h. Let i = 48 - h. What is the highest common factor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 15) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 60.13045 kilometers in millimeters?\nAnswer: 60130450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 3 + 1)*(-1 - 1 + 0) + 5 - 4 - 2)*(z - z - z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144 = 24*c - 28*c. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, 1\/9, -0.3, 0, -2321\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -50184? (a) 1 (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xhxxbxxxxbbh. What is prob of sequence bbhb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 16842*g**2 + 56*g - 28. Let q(y) = 1871*y**2 + 6*y - 3. Determine -3*j(u) + 28*q(u).\nAnswer: 1862*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -60?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 - 7*p**2 - 9*p - 8. Give w(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 24*i**4 - 6*i**3 + 215*i + 2 wrt i.\nAnswer: 288*i**2 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqnnnqynqyyyqnqqyq. What is prob of sequence qnyq?\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*h - 96*h = 2*n - 30, 4*h + 5*n - 40 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 233700 divided by -38950?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(3)*4 + sqrt(3) + (-5*sqrt(15)\/sqrt(5))**2.\nAnswer: -3*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the third derivative of -1\/280*q**7 - 5*q**2 + 1\/32*q**4 + 1\/12*q**3 + 0*q + 0 - 1\/80*q**5 - 7\/480*q**6. Suppose t(x) = 0. What is x?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -13. Suppose -p*o - 5*q + 2*q = -593, 0 = -o + q + 125. Let w = -12030 - -12041. What is the highest common divisor of w and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8405379*s**3 - 2*s**2 + 1108*s + 62 wrt s?\nAnswer: -50432274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000007196 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 + 8*t + 7. Let h be y(-6). Let o = 6 - 3. Let g = 35.5 - 30.5. Which is the third biggest value? (a) g (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tdoovso. What is prob of sequence st?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**6*z + 130*i**3*z**2 - 2*i**2*z**2 + 368*z**2 wrt i?\nAnswer: 120*i**3*z + 780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/700 and 103\/37450?\nAnswer: 74900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -393.3534 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*h + 12 = 23*h. Solve -4*v + 5*d = 1, 3*v - h*d = -0*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -t**4 + 328*t**3 + 1663*t**2 + 674*t - 2664 = 0.\nAnswer: -4, -2, 1, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + a - 16 = 0, 3 = -149935*a + 149938*a for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.05 (b) 2\/9 (c) -3.78 (d) -0.2 (e) -5\/7 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 - 12\/(-5) - (-14)\/(-35). Solve p*s = -2*x - 4, 3*s + 8 + 8 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6570*g = -6567*g - 1146. Calculate the remainder when g is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 2 c, and 1 q when four letters picked without replacement from dcccceccqchhqqqq.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1008 or -1007?\nAnswer: -1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 + 48\/52)\/(-12 - -11). What is the biggest value in -0.2, s, -0.1, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 8 + 4 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -0.1224?\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 353603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the first derivative of -d**7\/42 + d**3 - 2*d**2 + 6. Let i(q) be the second derivative of y(q). What is the first derivative of i(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v**4\/5 - 52818*v**3\/5 + 581439*v**2\/5 + 1374126*v\/5 = 0. What is v?\nAnswer: -17617, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from {d: 3, u: 12}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 484353 is divided by 473.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 310.4449 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 30859?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.503652 weeks to nanoseconds.\nAnswer: 2119008729600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, o: 2, k: 1, n: 1, a: 2, v: 1}. What is prob of sequence ka?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 23 divided by -50919\nAnswer: -23\/50919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99566*v**2 + 19427*v**2 - 20792*v**2.\nAnswer: 98201*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**3\/4 + 9*a**2\/4 + 210*a - 3100.\nAnswer: -(a - 20)**2*(a + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:17 AM and 3:15 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2124 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 118455829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = 3*b - 2*l - 13, 2*b - l = 7. What is the remainder when 65 is divided by (15 - b) + (8 - (3 - -2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/16*-24*68\/2244\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 - w + 9. Let t be c(0). Suppose -t*j + 22 + 95 = 0. Is 11 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t = -131 + -217. Let c = -13759123275.99999821 - -13759122928. Let h = t - c. What is h rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -21*j - 6. Let m be d(0). Let u(x) = x**3 + 7*x**2 + 7*x + 5. Give u(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 31*o**2 - 12*o + 25. Is k(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y**3\/3 - 448*y**2\/3 + 9716*y\/3 + 10168\/3 = 0. Calculate y.\nAnswer: -1, 31, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 139335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 13*w**3 - 4*w**2 + 7*w - 4. Let v(d) = -3*d**3 - d + 1. Let a(f) = 2*f + 26. Let j be a(-15). Let m(z) = j*v(z) - k(z). Give m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.1786 + 1.8214. What is the nearest to -0.1 in -10, v, -3\/5, -2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -142.6 minus -4?\nAnswer: -138.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v + 13. Let h be d(-9). Suppose -h*p + 0*p + 3*o = -93, -4*p + 100 = 4*o. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 15\/1*2\/3. Let y be (-18)\/(-10)*(-140)\/(-42). Suppose -2*v - y*b = -b - 185, b = v - 75. Calculate the greatest common divisor of c and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -397 - -426. Solve -7*x = 22*x - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2\/325 and -113\/3450.\nAnswer: 44850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 226032857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -162 or -1\/15?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 121*z + 632 = 73*z - 110*z. Suppose -2*j + 0 - 5 = t, 5*j = -4*t - 11. Sort z, t, -14.\nAnswer: -14, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 5 = 5*b, 3*b + 2*f + 3*f = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 4*d - 3955 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 224*t - 202087 = -218663 for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/8 in 0.15, 4, -0.031, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6671 + -5494. What is the remainder when k is divided by 169?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 805411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 2*o**3 + 2*o**2 + o - 2. Give v(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 - -9. Let n(x) = 4*x - 6. Let w(r) = 5*r - 7. Let g(y) = i*n(y) - 5*w(y). Calculate g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -134 - -1e?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 245*r**2 + 654*r + 17423. Give m(242).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 91, -2, 0, -4 in increasing order.\nAnswer: -4, -2, 0, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 78884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-13)\/(-3003)*14*12)\/(42\/1617)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**2\/4 - 13*l - 169.\nAnswer: -(l + 26)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1192494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -4 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*f**3 - 52*f**3 + 23*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -45 + 47. Suppose 5*y = -f + 15, 2*f = 3*y + 4*f - 2. Factor 5*q**x - 9\/4*q**5 + 15\/2*q**y - q - 37\/4*q**3 + 0.\nAnswer: -q*(q - 1)**2*(3*q - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + -2*(-2)\/4. Let k(x) = x**2 + 10*x + 3. Let i be k(-10). Suppose 11*w**3 + 7 - 32*w**i - r + 21*w - 15*w**4 + 9*w**2 = 0. What is w?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -103, -203, -243, -193, -23, 297, 797?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 5*m = 2*t + 64, 5*m = -4*t - 164. Let s be t\/14 - 3\/7. Let d = 0 - -1. Put 4, s, d in ascending order.\nAnswer: s, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 18650*x. Let p(q) = -19*q. What is p(n(u))?\nAnswer: -354350*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 12) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11 + -9. Suppose x*z = -8*z. Suppose 4\/9*a**3 - 2\/9*a**4 - 2\/9*a**2 + z + 0*a = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ryr when three letters picked without replacement from ryrrrrrryryr?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 385878 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*w, 0 = -f - 4*w + 13 + 16. Is f + 0 - (-5 + 2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p + 254*p**2 - 30 + 17 + 11*p**3 - 239*p**2. Let g(f) = -5*f**3 - 7*f**2 - f + 6. Let w(x) = 9*g(x) + 4*z(x). Give w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 54*d - 45. Let x(h) be the second derivative of -5*h**3\/6 + 2*h**2 - h - 17. Let j(b) = 4*f(b) + 45*x(b). Let z(p) = -10*p. Determine j(z(t)).\nAnswer: 90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18\/71 + -5543\/1420. Find the common denominator of g and 81\/10496.\nAnswer: 52480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 85.2 - -15.8. Let l = k + -90.2. What is l rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-98)\/4312 - (-2)\/(-8). Which is the nearest to -1? (a) -1 (b) -2\/25 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117763.\nAnswer: 117763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 - -520?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 100*n**2*r*y**3 - 5*n**2*y - 1812*n*r - r*y**3 - 835*r*y**2 + 14*r*y wrt y.\nAnswer: 600*n**2*r*y - 6*r*y - 1670*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*p - 37 + 33 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 35*w**3 - 7*w**4 + 22*w**4 - 9*w**4 - 4*w**4 - 70*w**2 wrt w.\nAnswer: 48*w + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 7:53 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 49 - 168. Let i be 20\/p + 24\/84. What is the third biggest value in 3\/8, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 89 + 31 = 0. Calculate the common denominator of j and 21\/29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b + 4. Let r be w(5). Let x be (-1)\/18 - (-2)\/r. What is the biggest value in x, -0.3, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(255)*2 + sqrt(255))\/sqrt(5) - ((1*sqrt(255))\/sqrt(5) + sqrt(51)))\/((sqrt(3) + sqrt(27)\/(sqrt(9)*2) - sqrt(3)) + (-1*sqrt(432) - sqrt(432)))*-3.\nAnswer: 6*sqrt(17)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -51*r**2 - 41*r**3 + 51*r**2 + 0*r - r**3 + 0*r + (2 + 3 - 3)*(-r**3 + 0*r**2 + 0*r**2) in the form i + n*r**3 + v*r**2 + b*r and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2238617197 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t + 20. Let n be a(17). Let x be 9\/n*-4*(-3)\/12. Suppose -x = -8*z + 469. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 20 = 0, -7*j - 5*q = -3*j + 15. Let t(u) = -u**2 - 7*u + 14. What is t(j)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -37258254 divided by 4139806\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-1\/13))\/y**(-1\/19))**(-32\/5) assuming y is positive.\nAnswer: y**(-7712\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 less than -38922362?\nAnswer: -38922362.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -5\/4 (b) 376 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*h**3 - 10122 + 2*h**2 - h**3 + 10045 - h**3 + h to the form l*h**3 + n + b*h + y*h**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 1)*(p**2 + 0*p**2 - 3*p**2)*(90*p - 45*p - 52*p)*(4*p**2 + 0*p**2 - 2*p**2).\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(-4) + 9\/68. Let l be 1978\/1806 - 3\/7. Sort r, -0.1, l in increasing order.\nAnswer: r, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 3*k, 5*k + 2 = 3*a + 6. Suppose 4*n = 16*n - 60. Suppose -a*x = -n*x. Solve -11 = -2*g + w, w = -5*g - x*w + 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211202 (base 3) in base 9?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2939*z - 285*z + 103111 = -114517 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4, 272350, -4 in increasing order.\nAnswer: -4, -2, 4, 272350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 2:34 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24 and 2964?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zop when three letters picked without replacement from ddqpzozq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 65\/7 - (-10)\/(-35). Let r(p) = -q*p + 0*p - 135*p**2 + 134*p**2. Let u be r(-3). Calculate the highest common factor of u and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 - (7 + -2 + (1 - 10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -176025, -704496, -1585413, -2818776?\nAnswer: -4404585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1560 = -10*p - 10*p. Let q be (-6)\/10 + p\/30. What is the derivative of 47 - 4*u - 73 + 10*u**q + 4*u wrt u?\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2*d**2)*(3*d**3 - 1 + 1) + (-4*d**2 + 3*d**2 + 0*d**2)*(-d**3 - 3 + 3).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 24 (base 15) to base 13\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.09, 2236494, -2\/5, -2\/7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 26 divided by 911?\nAnswer: 26\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1, -8, 35, 178, 469, 956, 1687?\n\"Answer: 8*b**3 - 22*b**2 + b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1050287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 34691 + -34767.9984. Let x = 75.9 + 1.1. Let l = g + x. Round l to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*g - 20611 = 10*g + 5*f, -2*g + 13762 = 2*f. Is g a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8068, 8072, 8078, 8086, 8096?\nAnswer: 8108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 877905355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*x + 14*x + 12*x + 10*x - 46*x - 572 to the form h + y*x and give h.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -12*v. Let a(z) = -z**2. What is a(l(i))?\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 16887818501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-60)\/(7 - 3)*-52*(-60)\/3120?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38013, -94017, -150021, -206025?\nAnswer: -262029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-5 + -3 + sqrt(5))*-6 - (((sqrt(180) - (sqrt(180) - (sqrt(180) + 1*sqrt(180))))*1)**2 + -2*sqrt(180)*6)) + -2.\nAnswer: -578 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -1772*186\/248*2\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0009740989 to 5 decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -1. Let f(g) = 5*g - 7. Let z(y) = f(y) - 3*u(y). Let o(x) be the second derivative of 0 - 11\/2*x**2 + 7\/3*x**3 - 5*x. Determine -3*o(w) + 8*z(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1938*3\nAnswer: -5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -92, -93, -94, -95, -96, -97?\n\"Answer: -z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2057278?\nAnswer: 2, 113, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 8\/11*o**2 + 2232\/11*o - 2\/11*o**3 + 25920\/11 = 0. Calculate o.\nAnswer: -18, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 24 - 22.5. Let x = t + -4.5. Let a = 0.85 - 0.78. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -704*k - 1508 = -717*k. Let y = -66 - -101. What is the remainder when k is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p*p**1*p**(3\/5) assuming p is positive.\nAnswer: p**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 21455*g. Let c(b) = 109*b. Give m(c(r)).\nAnswer: 2338595*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -17056.0018077 + 17056. What is f rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 + 13343433?\nAnswer: 13343430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**1)\/(r*r**2))**(-1\/18) assuming r is positive.\nAnswer: r**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/21, -1\/7, 0.06, -1\/2, 14.\nAnswer: -1\/2, -1\/7, 0.06, 2\/21, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 - 13*o**2 - 14*o + 3. Let t be m(14). Let r(k) = 0 - k + 1 + 1. Let g be r(t). What is the closest to 2\/7 in 2\/7, 0, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2121021102102211110 - 12?\nAnswer: 2121021102102211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 115406600117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -2 - (-5 + (4 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 11, 38697, -2 in increasing order.\nAnswer: -2, 3, 11, 38697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*d + 68389 = -2690. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) 1 (c) -4 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1\/3, -0.6, -0.0214, 4?\nAnswer: -0.0214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-2\/31)*h*h**(6\/7))**(-10\/3))**(-6\/7) assuming h is positive.\nAnswer: h**(12680\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1362, 2802, 4324, 5952, 7710, 9622, 11712?\nAnswer: 14004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (-4 + -1 + sqrt(180) - (-2 + sqrt(180) + -1))*5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 62803625831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -17 - -17. Put d, -6, -4, 3 in ascending order.\nAnswer: -6, -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26\/5*f + 169\/5 + 1\/5*f**2 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.3567835 - -1147.6231065. Let s = q + -1152. Let y = -0.02 - s. Round y to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -37.62575488 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43204096 divided by 4.\nAnswer: -10801024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.141 + 0.141. Which is the smallest value? (a) 8 (b) g (c) 0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.2 + 2.069. Let v = l - -0.051. Which is the smallest value? (a) -2 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*k**3 - 14*k**3 + 4*k**3.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of 31*s**3\/3 - 17*s**2\/2 - 7*s. Is t(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/7 in -0.8, -1\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n = -s - 8 + 7, -2*s - 4 = -4*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 515.7 (b) 1.5 (c) -1\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l\/(l*(l*l**(2\/3)*l)\/l))*l\/(l*l**(-2\/3)))\/((l**(2\/15)*l)\/(l\/l**3)) assuming l is positive.\nAnswer: l**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 5, -0.13, 2\/9, -8, 4.\nAnswer: -8, -6, -0.13, 2\/9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 8*p**3 - 3*p**2 - p + 9. Let u(i) = -17*i**3 + 7*i**2 + i - 19. Let a(q) = 7*g(q) + 3*u(q). Let j be a(4). Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + 44 + -17 + -10 + -17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that 15*b**4\/4 - 33*b**3\/2 + 21*b**2 - 6*b = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8813.978 - -8841. Let t = v + -27. What is t rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6424120.\nAnswer: 2, 5, 160603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 277787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 452020607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x**3 - 3*x**2 - 219*x - 1. Let c(z) = z**3 + z**2 - 9*z. Determine 3*c(r) + h(r).\nAnswer: r**3 - 246*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 637990637 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 205 - 70 = 5*j. Let s = -25 + j. Suppose 0 = -3*o + o + s, -o - 25 = -z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0, 2, -2, 52 in increasing order.\nAnswer: -2, -1, 0, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 11\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23505925 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**3 - 236*n**2 + 19204*n + 22. Give o(64).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1818.5 - -1818. Let r = 2 + -1.9. Which is the nearest to r? (a) k (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 83*d - 18*d = -34*d - 1287 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -46122083*n**2 - 95962645*n?\nAnswer: -92244166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 79449, 79448, 79447, 79446, 79445, 79444?\nAnswer: 79443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 9) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -8, -2\/19, 16, -29, -1\/3, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -67084 + 131927. What is the ten thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1627202 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -28b5 (base 15) to base 3.\nAnswer: -102221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r - y - 1 = 0, 3*r + r - 4*y + 20 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*h = 2081*v - 2078*v - 1343, -h - h - 2*v = v + 34 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -2*x + 2*x**2 - 2*x**3 - 596 + 0*x**2 + 591 in the form t*x + i + p*x**2 + o*x**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of 3*h**8\/56 + h**4\/4 - 7*h. What is the third derivative of i(o) wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 10:26 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4033 + -3995. Solve -38*g = -s - 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 374911 less than or equal to 374913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**3 - 6*a**2 + a - 4. Give x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*y - 68 - 269 + 717 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 34 - -376630?\nAnswer: 376664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Are 30289\/134 and 225 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 521*v - 50 = 516*v. Solve -14*c - 8 = -v*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**3 + 4*z**2 + 2*z - 1. Let u(r) = -r**2 - 7*r - 9. Let o be u(-6). Let g be b(o). Solve -8 = -3*w - 4*v, -g*w = -4*w - v + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(60)\/(sqrt(12)*1*-4))**2*-4 + 2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (71 - 62) + 1 + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 49838721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 161849491 is divided by 498?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -100*a + 102*a - 4256, 2*a - 5*p = 4208. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.004 - -23.004. Let h = 24 - y. Which is the nearest to h? (a) 0.3 (b) -2\/23 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 = 6*c - 49. Suppose -c*g + 259 = -413. Solve -38*f = -g*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m\/m**(1\/2)))\/m)**(-7) assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in d - 3*d - 2*d - 7707*d**3.\nAnswer: -7707*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Do 910\/19 and 49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1948861?\nAnswer: 1948861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -657, -647, -629, -603, -569, -527?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11\/2 - -6. What is the second smallest value in -0.4, -5, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-24)*37\/(296\/96)*132. Let l = 2 + 3. Suppose -l*z + 677 = s. List the prime factors of z.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-4\/9)\/a**(3\/26))\/(a**(-5)*a*a\/(a*a**37)*a))**(-4\/7) assuming a is positive.\nAnswer: a**(-18458\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-2\/33)*p**(-5\/6) assuming p is positive.\nAnswer: p**(-59\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -7114, -14221, -21328?\n\"Answer: -7107*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 221304433 >= 221304432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 1398, 3, 4, 2 in ascending order.\nAnswer: 2, 3, 4, 1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be -2*33\/22 + 1*15601. Suppose 35*d = 57*d - a. List the prime factors of d.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126 + (48\/8 - -3) is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15\/25*(-10)\/(-6) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((13 - 5) + -5)*210\/63.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 2*l + 17 + 27 = 0, 0 = -5*l + 10. Suppose -3*q = q - s. Find the third derivative of -5*w**4 - w**4 + 6*w**4 - 4*w**q - 11*w**2 wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26634 = -4*n + 26598 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify o\/(o\/(o**(1\/9)*o))*o\/o**(-6)*(o\/o**(-4))\/(o**(2\/15)*o)*(o**1)**(1\/9)*o**(-5)*o**3\/o assuming o is positive.\nAnswer: o**(409\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 - 27*o**2 + 61*o - 6. Calculate v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2\/2599, 7, 0.1, 69 in decreasing order.\nAnswer: 69, 7, 3, 0.1, -2\/2599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*w - 36, 2*s + 3351*w = 3352*w - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -30.819628 - 0.112172. Let v = 66.93318 + s. Let k = v + -36. What is k rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*g + 40*g - 22*g - 2029*g**2 + 10082*g**2.\nAnswer: 8053*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1510 - 1567. Is -85 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*n = -4*n + 42. Let d be (-16)\/n - 5\/(-15). Let l be -2 - (2\/(-4))\/(10\/120). Put d, l, -5, 2 in decreasing order.\nAnswer: l, d, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 177346145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 11*g**3 + 4*g**4 - 12*g**3 + 5 as p*g**3 + c*g**4 + v*g**2 + q + l*g and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22 - 22. Suppose s = 4*f - t - 20, 0 = 2*t - 2 + 10. Which is the nearest to -1? (a) 5 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1374 divided by -25.\nAnswer: -1374\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 + 11*h**2 + 13*h + 11. What is the remainder when 68 is divided by p(12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of x**8\/42 - 3*x**4\/2 - 31*x**2. Find the second derivative of u(t) wrt t.\nAnswer: 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4019.4 - -4019. Sort -1048, -0.3, 2, 1, b in decreasing order.\nAnswer: 2, 1, -0.3, b, -1048","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 + 5 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -8*w - 1. Let x = 0 + -1. Let r be g(x). Suppose 0 = 2*o + 5*q + r, -o - 2*o + 18 = -2*q. Solve -3*t - 7 = -o*l, -l - l = -4*t - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -12378695800 to the nearest 1000000.\nAnswer: -12379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, 3, -209 in descending order.\nAnswer: 3, 2, -3, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -4*m - 1, -2 = -0*w - 2*w + 2*m. Let z(s) = -1. Let d(q) = -q - 4. What is w*z(y) + d(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rxwrllvvwlwwvwwwvvvv. Give prob of picking 2 v.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1265 and 14106070?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 536, 258, -512, -2026, -4536, -8294, -13552?\nAnswer: -20562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -48 divided by 10051?\nAnswer: -48\/10051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -6*p. Let v(r) = -4*r + p*r + r**2 + 6*r - 7 + 5*r. Calculate the lowest common multiple of v(-9) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -5323, -5320, -5315, -5308, -5299?\n\"Answer: w**2 - 5324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**3 - 26*f**2 + 38*f + 60. Calculate x(-14).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 362904689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9900131.\nAnswer: 163, 60737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -20868 or -18108?\nAnswer: -20868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 2113*s + 38065. What is t(-18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-1794)\/(-18) + (-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 113 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 13088 = 25*h + 6807 + 6956 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1107 and 1312.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) 0 (c) -8.9 (d) -1\/5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, n: 1, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 14879, 14665, 14441, 14201, 13939, 13649, 13325?\n\"Answer: -p**3 + p**2 - 210*p + 15089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -193, -144, -63, 50?\n\"Answer: 16*i**2 + i - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 66 = -360. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -216 - -209. Let t(r) = -r**3 - 3*r**2 - 3*r. Let c(i) be the third derivative of i**6\/40 + 7*i**5\/60 + i**4\/4 - 10*i**2. Calculate m*t(v) - 3*c(v).\nAnswer: -2*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x**2 - 2*x**2 - 2*x**2)*(x - 6*x + 3*x) + 2213*x**2 + 1 + 2*x**3 - 2213*x**2.\nAnswer: 4*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -68270*q**3*z**4 + 4*q**3*z**2 - 4*q**2*z**2 - 1061*q**2*z + q*z**2 - 4*z**5 wrt z.\nAnswer: -1638480*q**3*z - 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5\/8 or -1\/1117979?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-84)\/280*(-2)\/9 + (-6)\/(-180)*388?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Total of 19 and -85.9006165703.\nAnswer: -66.9006165703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**5\/7 + 50*j**4\/21 + 30*j**3\/7 + 10*j**2\/7 - 40*j\/21 - 8\/7 = 0. What is j?\nAnswer: -6, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -12 + 475?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/4))**(2\/5)*t**(-5\/4)\/t*(t*t\/t**7)\/t assuming t is positive.\nAnswer: t**(-163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 27 - -2 - 17 - (4 - (2 - 3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 46*i - 22*i. Let n(k) be the first derivative of 10 + 2\/55*k**5 + i*k + 0*k**2 + 4\/33*k**3 + 3\/22*k**4. Factor n(m).\nAnswer: 2*m**2*(m + 1)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 10*w**2 + 9837415*w + 4918705 = 0. What is w?\nAnswer: -983741, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -6976, -6946, -6916, -6886, -6856, -6826?\n\"Answer: 30*c - 7006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 143 + -148. Let u(b) be the first derivative of 184*b**3\/3 - 7*b**2\/2 - 22*b - 1. Is u(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-463)\/10 + (-3 - 322\/(-115)). Which is the nearest to 1? (a) 0 (b) -3 (c) -1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -887 + 894. Solve -w = -c*w - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63812 is divided by 12753.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 19284 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (54 + -37 - 29) + (1 - -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1056145 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 177015341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**2 + 4*q + 4. Suppose -51 = -13*z + 16*z. Let d = 94 - z. Let w be d\/21 + (-2)\/7. Determine h(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 68, 24, 10, 58, 0 in decreasing order.\nAnswer: 68, 58, 24, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -5*a + 42. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -36 (b) 2\/3 (c) -3\/5 (d) -15 (e) -1\/4 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 4*t**2 - 8474*t - 1312824. Calculate y(-145).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 30018, 240243, 810884, 1922151, 3754254, 6487403, 10301808?\n\"Answer: 30035*z**3 - 2*z**2 - 14*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*x + 159 + 15*x - 143.\nAnswer: 24*x + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3560913 is divided by 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40494*w - 3406*w - 151389*w.\nAnswer: -195289*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x**0)**(1\/6) assuming x is positive.\nAnswer: x**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -90318630 rounded to the nearest one million?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be 30\/60 - 7\/56 - 13\/(-8). Let t(g) = 2*g - 4. Let q be t(6). Suppose 177 = k + z*f, 0*f = -4*f - q. List the prime factors of k.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -191, -381, -571, -761, -951, -1141?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 10 = 6*v. Suppose -8*k + v*k = -174. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the third derivative of c**7\/210 - 31*c**6\/20 + c**5\/15 + 33*c**4\/8 + 3*c**2 + 32*c + 21. Find the third derivative of a(n) wrt n.\nAnswer: 24*n - 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kp when two letters picked without replacement from pxjxxpkrmpjr?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -12917, -25838, -38759, -51680?\n\"Answer: -12921*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 17\/(221\/(-78)) - (-1000)\/2. Let i = f - 490. Solve -4*x = 5*b + 33, 0 = -5*x + b + i*b + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 4*l - 13 = 0, -7*l = -5*l - 8. Let k = 5 - m. What is the second derivative of 4*y - k*y**2 - 5*y + 4*y**2 + 2*y**2 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -16\/21, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26 and 26266838?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 110549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 3*j**3 - 36*j**2 - 154*j + 24. Determine c(-5).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 860.7645l in millilitres?\nAnswer: 860764.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h + 1. Let c(g) = 3*g - 11. Suppose 0 = 16*o - 49*o - 165. Give o*l(k) - c(k).\nAnswer: 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 154 by -11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6594156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 5*v - 70. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/(-8) - (-2 + 0). Which is the third biggest value? (a) -2 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -127.8 + 127. Suppose 7*r + 9 = 4*r. Sort -6\/5, o, r, -4\/9 in descending order.\nAnswer: -4\/9, o, -6\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -2*w + 6. Let h be (-3)\/(-1 - (0 + -2)). Sort h, 2, w in ascending order.\nAnswer: h, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 9 + 3. Suppose z*k + k - 10 = 0. Suppose k*w + 0*w = 0. Sort 5, w, -4 in decreasing order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-43 - -41)*78\/12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19751 + -20087. Is l at least as big as -353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**4 - 152*q**3 + 2644*q**2 - 4840*q + 2346 = 0. What is q?\nAnswer: 1, 23, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d + 9*d + 30 = -h, 3*d + 4*h + 7*h - 34 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*t - 25*t + 312 = -14*t. Solve -5*r + t*q = -7, -4*q - 5 = -4*r - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnnngnnnnnbnnnnnn. What is prob of sequence bg?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 5*o = -2. Suppose 2*j + 4 = -5*v, -4*j - 5*v + 1 + o = 0. Let y(m) = -m**3 + 3*m**2 + 3*m - 3. What is the units digit of y(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1125480.3ns in minutes?\nAnswer: 0.000018758005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/8)\/((-173)\/(-771580)) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*g**2 - 4*g**2 + 5*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of h**3*w - 329*h**2*w**2 + 5*h**2*w - h**2 - 819*h*w - 2*h + w**2 - 2*w wrt h.\nAnswer: 6*h*w - 658*w**2 + 10*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 1671*h - 23421. Give t(14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 486955411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the second derivative of c**5\/10 - c**4\/3 + c**3\/6 + c**2 - 3*c. Let n = 10 - 8. Calculate k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 AM and 6:11 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 t when three letters picked without replacement from {u: 3, i: 6, v: 6, t: 2, n: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 7*t - 17*t**2 - 42*t + t**3 - 14 + 19*t. What is the remainder when k(18) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/o**3*o*o)\/o**(-17)*o**(2\/33)*o\/(o*o\/o**(1\/31)) assuming o is positive.\nAnswer: o**(17486\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be -4*2*2\/20. Let l = 0.2 + 0.3. What is the biggest value in l, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21791 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-28)\/(-32))\/((-28)\/(-24)) + (-6)\/8. Solve h = 23*i - 28*i - 35 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z + 5. Let r be (40\/6)\/5*6. Let y be g(r). Let u be 5\/((9\/3)\/y). Sort 3\/4, -0.6, u.\nAnswer: u, -0.6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 280665093 and -1111.\nAnswer: 280663982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -836\/6239 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-63*32\/5328))\/(10\/35*1).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(343) + -2) + 0)**2 + ((sqrt(700) + sqrt(700) + 2 + sqrt(700) + -4)*2)**2.\nAnswer: -1488*sqrt(7) + 37708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.1, -12.3, 13, 1\/5 in decreasing order.\nAnswer: 13, 1\/5, -1.1, -12.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2726 and 10498.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 0*a - a)*(-218 + 169 - 252).\nAnswer: 903*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -205 + 901\/4. Find the common denominator of 37\/(0 + 0 - -2) + 1 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5 (b) 7\/5 (c) 18 (d) -16 (e) 2 (f) -0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 21 - 42 = 3*b, 4*m - 30 = -2*b. Factor -2\/7*y**4 + 0*y + 0 + 4\/7*y**b + 6\/7*y**2.\nAnswer: -2*y**2*(y - 3)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/2617 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3478866*t**2 + 1225*t - 519 wrt t?\nAnswer: 6957732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2076 divide 40742208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 2. What is the second smallest value in -13, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -6*-4*(-2 + -4*(0 + sqrt(1900)) + sqrt(1900)*1 + -5 + -1*sqrt(1900)*-2 + sqrt(1900)))**2.\nAnswer: 28561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 941, 2021, 3327, 4973, 7073?\nAnswer: 9741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from axxuvwxxa. Give prob of sequence vvu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5.049316 litres in millilitres?\nAnswer: 5049.316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 93 + 2*o**3 + 3*o**2 + o - 44 - 51 as d + y*o + s*o**3 + z*o**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(1\/5))**(-50)*k*(k**(-1\/2)\/k)\/k*k**(-8)\/k assuming k is positive.\nAnswer: k**(-101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (44\/(-55))\/((-7)\/5*1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 80 - 79 - 4*z**2 - 15*z + 29*z - 11*z + 5*z**2. Let t(a) = 5*a**2 + 15*a + 4. Determine 22*r(v) - 4*t(v).\nAnswer: 2*v**2 + 6*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 90976.57 nanograms in kilograms?\nAnswer: 0.00000009097657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11855 - -11862. Let f(c) be the third derivative of 1\/165*c**6 + 0*c**3 + 0*c + 31*c**2 + 0*c**4 - 1\/1155*c**d - 2\/165*c**5 + 0. Factor f(h).\nAnswer: -2*h**2*(h - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -1\/5 (b) 6 (c) 15\/2 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 2 q, and 1 m when four letters picked without replacement from {k: 2, i: 5, q: 2, m: 1, c: 1, b: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1a882a1 + 17?\nAnswer: -1a88286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-16)*-3)\/((-741)\/312).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -99*n + 283*n + 19*n**2 - 122*n wrt n?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87 bigger than -234816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -8 + (59 - 21 - 45).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (180\/315)\/((-8)\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -31*o**3 + 3*o**2 - 3*o + 2. Let z be y(2). Let c be z\/56 - (-4)\/14. List the prime factors of (-2 - 22)*c\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000551 to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 132 - -112?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 905.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 16 less than -82.04?\nAnswer: -98.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**3 + 59*v**2 + 4540*v + 46852.\nAnswer: -(v - 106)*(v + 13)*(v + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-44)\/6)\/((-30)\/225*-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1309375, 2618774, 3928171, 5237566, 6546959?\n\"Answer: -c**2 + 1309402*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32152?\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 349127064 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + -1 + -17 + 0 - 6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/(-4)*(-224)\/(-4704))\/(0 + (-8)\/(-532))?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6016535 to the nearest integer?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1\/5, 0.2, 34, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6270, 12543, 18836, 25161, 31530, 37955, 44448?\nAnswer: 51021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1185)\/158*(-184)\/60?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = s - 1 + 11, -5 = -s. Let k(p) be the first derivative of -5*p**2 + 3 + 7 + p**5 - 2*p**3 + 5 - z*p**3. Factor k(g).\nAnswer: 5*g*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9259.5 - -102180936.\nAnswer: 102190195.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 5 + (-7 + (6 - 2) - -2) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (300\/9)\/10*3780\/(-315).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -2348*i + 1002597. Determine h(427).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 + j + 5. Let d be q(0). Let a = d + 0. Solve -3*s + 17 = a*x, -x = x + s - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(85) - sqrt(85)*3))\/(sqrt(10)\/sqrt(72)) - (sqrt(272)\/(sqrt(8) - (sqrt(32) + sqrt(8))))\/(sqrt(2) + (-2*sqrt(72) + sqrt(72) - sqrt(72)))*-6)**2.\nAnswer: 2625633\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 144077645779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -78*w - 2. Is 10 a factor of k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 212778813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 10:13 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is f in f**4 + 62160*f**3 + 1801737*f**2 - 3852122*f = 0?\nAnswer: -62131, -31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/2)\/(1\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 10 = -15. Suppose 2*s + 3*s = d*f + 10, -2*s - 10 = 0. Which is the biggest value? (a) f (b) 2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 116 - 116. Let h(i) = -5*i - 211. Let a be h(z). Let b = a - -349. List the prime factors of b.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 8*r**2 + r + 2. Let p be m(8). Suppose -3*y = 2*y - p. What is the units digit of (6\/(-15))\/(y\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 6*2\/(-30)*(-10 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 75, -1, -2, -6, -5, -4, -157 in increasing order.\nAnswer: -157, -6, -5, -4, -2, -1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 1\/3, 86.7, -8074?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19827 - 8656. Is z a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**3 + 6*y**2 - y + 2. Let l be c(-5). Suppose q + l = 5*g + 4*q, -g - 5*q = -2. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**3 + 27*l**2 + 17*l - 6.\nAnswer: (l + 1)*(l + 6)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 12*k**2 + k + 2. Let y be l(-2). Let j = 61 - y. What is the remainder when 115 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 2*v**2 + 2*v - 2. Let y(t) = 9*t**2 + 11*t - 11. Let n be (33\/6)\/(9\/(-6) + 1). Let r(w) = n*f(w) + 2*y(w). Let b(m) = m + 1 - 1. Determine r(b(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(66) + sqrt(66) + (sqrt(66) - (-2*sqrt(66)*6 + sqrt(66))) + sqrt(66))*5)\/(3*((5*sqrt(150) - sqrt(150) - sqrt(150)) + sqrt(150))))**2.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -414*y - 2866*y = 6666*y - 77*y + 434236 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*j + 4*d, 2*j - 4 = d - 6. Suppose j = -2*u - v - 3*v + 108, -2*v - 54 = -u. Calculate the remainder when u is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -84016062*q - 242850905?\nAnswer: -84016062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - -7 - (-3 - 0)) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -12.11 * -637\nAnswer: 7714.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07*-0.04.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*d - 51738 = 17*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o. Let m be g(3). Let t(b) = 2*b + 2*b - m*b. Let s(c) = -12*c. Let y(n) = 3*n. Let z(r) = -4*s(r) - 15*y(r). Calculate z(t(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 + -19258?\nAnswer: -19258.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-6)\/(g**(-8)*g))**(11\/2) assuming g is positive.\nAnswer: g**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**2\/t*t**(-3\/4))\/((t\/t**(-2\/25))\/(t**4\/t)) assuming t is positive.\nAnswer: t**(217\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 - 178.2946.\nAnswer: -182.2946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 3585*d - 3589*d + 70 = 0, -4*c - 4*d + 52 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(2) + 3 - 4*sqrt(2)*-3)**2 - (-2*sqrt(768))\/(sqrt(66)\/(sqrt(11) + sqrt(11)*1 + sqrt(11))).\nAnswer: 126*sqrt(2) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*l = 53*l + 5*n + 16, -5*l = -4*n - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, w: 19}. What is prob of picking 4 w?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-5)*710\/(-213))\/((-2)\/(-2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 116 and 1.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (11 + 1 + 0)*(-5*g**2 + 5*g**2 - 2*g**3) as i + p*g + k*g**2 + h*g**3 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be 8\/36 - (-7)\/9. Let n = -253 - -257. Which is the third smallest value? (a) z (b) n (c) 2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -42*u - 544. Let b be x(-13). Let d(j) be the second derivative of 3\/44*j**4 + 5*j + 4\/11*j**3 + 1\/220*j**5 + 8\/11*j**b + 0. Factor d(m).\nAnswer: (m + 1)*(m + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of 0*x**6 + 0 - 11\/6*x**3 + 2\/105*x**7 - 1\/60*x**5 + 12*x**2 + 0*x + 0*x**4. Find the third derivative of h(c) wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21 + 25. Let n be (u\/6)\/(16\/(-168)). Let m(z) = 2*z. Let d(s) = -s**2 - 4*s. Let x be d(-3). Let q(a) = 5*a. Give n*m(w) + x*q(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h + 2*m + 324, 2*m = -6*h + 11*h - 540. Let f be 33\/2 - (-15)\/10. What is the greatest common factor of h and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3385468?\nAnswer: 2, 331, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.112 and -62213026?\nAnswer: 62213026.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -5*q**3 + 9*q**2 + 2*q. Let d(m) = 9*m**3 - 17*m**2 - 4*m. Let b(y) = -6*d(y) - 11*w(y). Determine n, given that b(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the third derivative of u**6\/120 + u**4\/6 + u**3\/3 - 6*u**2 + 24*u. Calculate v(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that 2*a**3 + 40*a**2 + 118*a - 160 = 0.\nAnswer: -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 2*k**2 + 13*k - 9. Let d be z(-7). What is the closest to 0.7 in -3\/5, 4, d?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 760935096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -721584, -721572, -721552, -721524, -721488, -721444, -721392?\n\"Answer: 4*d**2 - 721588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.7279458 + -110.7287758. Let q = 161 + -51. Let n = i + q. What is n rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 + -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -401, -801, -1201?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*g - 184*g**3 + 8*g + 218*g**3.\nAnswer: 34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 + 7*h + 10. Calculate the remainder when y(7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -287 - -2011\/7. Suppose 2*s + 5*o - 4 = 0, 3*s - 11*o + 6*o = -19. What is the nearest to -2 in 16, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -1 + 1 + 1. Let a(w) = -3*w. Let c(m) = -8*m**2 - 38*m + 11. Let g be c(-5). What is g*i(l) + a(l)?\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/6016720 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65492982.\nAnswer: 2, 3, 433, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2325\/310*12\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**2 + 638*m + 18218. Calculate x(-30).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 34 and 20043.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 4001.931l to millilitres.\nAnswer: 4001931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 5, b: 9, p: 3, m: 2}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 115\/42 and -14 + 1281*136\/12528.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 13648 or 2115558\/155?\nAnswer: 2115558\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = r + 2, 5*w + 0*w - 5 = 0. Let c be (-4)\/(9*(-32)\/(-216)) + (-9)\/(-4). Let g = -0.2 - -2.2. What is the biggest value in r, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:55 PM and 11:01 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 113367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together 131 and -0.67.\nAnswer: 130.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (286\/(-32))\/(13178\/(-4792))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 2 = 0, 230 = 5*z - j + 4. Solve -105 = 25*c + z for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6360\/(-30)*251\/(-1004)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 1868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 - 0 - (-5 - -3). Suppose j*f - 59 = 5*s, 0*s + 4*f + 3 = -s. Which is the nearest to 1? (a) -0.1 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d*d\/d**(2\/5)*d*d*(d*d\/(d**(-5\/2)*d))\/d assuming d is positive.\nAnswer: d**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**3 - 39*w**2 - 199*w - 27. Let i be p(-33). Which is the closest to -1? (a) i (b) -2 (c) 0.04 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of 1\/4*j**4 - 1\/2*j**2 + 0*j**3 + 2*j + 5. What is q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 84*d + 3407. What is p(-51)?\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 33.83743 rounded to 0 dps?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*z - 14*z + 13 = 3*l, -3*l - 2*z + 41 = 0. Solve 5*i + 2*o = -l - 4, -4*i - 12 = -3*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -38*t**3 - 43*t**2 - 9*t + 9. Let s(y) = -19*y**3 - 22*y**2 - 4*y + 4. Let g(v) = 4*r(v) - 9*s(v). Find the third derivative of g(z) wrt z.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-20)\/(-50)*(11 + -1). Let m(u) be the second derivative of 0 + 0*u**2 - 1\/27*u**3 - 3*u - 1\/18*u**i. Suppose m(a) = 0. Calculate a.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 5 - (-620)\/6*555\/74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1084, -2166, -3238, -4294, -5328, -6334?\n\"Answer: g**3 - g**2 - 1086*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -37 and -0.15.\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -58705, -116878, -175051, -233224, -291397?\nAnswer: -349570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*n - 8 = 44*n + p, 4*n + p = 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, y: 3}. What is prob of picking 3 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, 19, -70, 8 in descending order.\nAnswer: 19, 8, -1, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 283537.\nAnswer: 19, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 474451247 to the nearest integer?\nAnswer: 21782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 41598 - 41607. Let x be -7*1*(3 + -2). Which is greater: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65*f + 24*f - 250*f.\nAnswer: -291*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 97012332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -2*m**5\/5 + 1286*m**4\/5 - 7096*m**3 - 16256*m**2 + 141952*m\/5 + 304544\/5 = 0.\nAnswer: -2, 2, 31, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3580080 and 720.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(60)\/(1*sqrt(12)*-1) - (sqrt(35)\/(sqrt(84)\/sqrt(48) + sqrt(7)))**2).\nAnswer: -sqrt(5) + 25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 3*j**2 + 2*j - 2. Let r(x) = x**2 + x. Let c be 7 + ((-4)\/(-2))\/((-16)\/24). Give c*r(a) - i(a).\nAnswer: a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 2 - 3)*(-3 + 568*t + 574*t - 1133*t) in the form h*t + r and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -4, 2\/25, -2 in decreasing order.\nAnswer: 16, 2\/25, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -6*f + 4. Let t(s) = -5*s + 5. Let w(c) = -4*d(c) + 5*t(c). Let i be w(6). Let p(m) = 2*m**3 - 3*m**2 + 3*m - 4. What is the units digit of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/(550\/(-20)) + (-27)\/(-33). Let t be (4 + -4 + -1)*2\/18. Which is greater: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + l**2 - 6*l - 4. Let o(c) = -c**3 - c**2 + 7*c + 5. Let k(b) = -4*o(b) - 5*x(b). Let v be k(-2). Let r = 15 - v. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 - 7*n - 6. Calculate v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*u**2 + 51 - 26 - 25 to the form g*u**2 + s*u + p and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -4, 4, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (6*r - 3*r - r)*(-r**2 + r**2 - r**3) - 2*r**4 + 3 - 3 - r**3 + 2*r**3 - 4*r**4 - 4*r**4 as k*r**3 + x + s*r + q*r**4 + m*r**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59*x - 83*x + 11*x + 13*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5*0.1\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18*4\/(-18)*1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*k + 40*k = 246 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k - 3. Let g be s(7). Suppose 5*t - p = 9, g*t - 4*p - 4 = 16. Solve 2*c = -t - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 508*h**3 + 2*h**2 - 2*h + 1. Let l be w(1). Let m = 8454 + l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.12 + 0.88. Which is the second biggest value? (a) z (b) 0.07 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-16)\/20)\/((-4)\/30). Suppose -26 = 4*x - w*x. What is the remainder when (25 + 0\/(-2))*1 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -13 (b) 2\/9 (c) -1 (d) 102\/7 (e) -1\/4 (f) 2\/5 (g) -76\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -36 + 36 - 16*v + (-3 + 1 + 1)*(-5*v + 6*v - 3*v) to the form k*v + l and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h + 1. Let d = 6 + -4. Suppose -2*q = -q - d. What is a(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -48*r - 120*r. Solve -37*o - 61 - 50 = r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -308*m**3 - 661*m**2 - 2*m - 1525641 wrt m?\nAnswer: -1848*m - 1322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 4:08 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 4*g - 2*g + 3*v, -4*g = 5*v - 86. Let j = -22 + g. Suppose 0*w = 4*w + 3*t - 467, 3*t - 235 = -j*w. Is w a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2. Let c(o) = 1. Let g(i) = -37*i + 222. Let f(x) = 1110*c(x) - 5*g(x). What is f(s(b))?\nAnswer: -185*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-18)\/33 + 29838\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lud when three letters picked without replacement from {u: 2, y: 4, l: 1, d: 3, t: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -7170, -7184, -7214, -7266, -7346, -7460, -7614, -7814?\n\"Answer: -t**3 - 2*t**2 - t - 7166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*g - 36*g - 6 = -3*b, 5*g + 3*b - 6 = 0. Let n(j) = -4*j + 5. Let p be n(-6). Is p < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the first derivative of -2*a**3\/3 - 8070. Let i(y) = -4930*y + 319. Let u(g) = -31*g + 2. Let q(w) = -2*i(w) + 319*u(w). Determine r(q(j)).\nAnswer: -1682*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-68)\/53788*-113)\/(30\/441)\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 614.0281um to kilometers.\nAnswer: 0.0000006140281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 AM and 5:20 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the third derivative of -t**7\/70 - 13*t**6\/5 - 153*t**5\/10 - 38*t**4 - 101*t**3\/2 + 3882*t**2. Factor m(f).\nAnswer: -3*(f + 1)**3*(f + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*q - q + 8*q)*(-2 - 1 + 1)*(2 - 2 - 5) to z + b*q and give b.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14.6 + -112.6. Let z = u - -102. Which is the biggest value? (a) 0.1 (b) -3\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*v**5\/3 + 20*v**4\/3 + 176*v**3\/3 + 268*v**2\/3 - 58*v - 96 = 0. What is v?\nAnswer: -3, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 i when four letters picked without replacement from pxixooikt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -694 or -3964?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3*25\/15 - (-265 - -1). Suppose 83 = 31*q + p. Let k(u) = -4*u - 3. Let c(j) = -8*j - 5. Calculate q*c(n) + 10*k(n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-6)*f\/f**(1\/2))**(1\/6)\/((f\/f**(-1))**(-18\/5)\/(f\/f**(2\/17)*f**(-4))) assuming f is positive.\nAnswer: f**(3229\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or 62\/17?\nAnswer: 62\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -26115793\/266 - -98180. What is the common denominator of -65\/84 and k?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2769077464?\nAnswer: 2, 73, 1223, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-404) - (-62309139)\/119511482\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -3, 3, -0.024, 1\/2, -2?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2720 and 3296?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9340887.\nAnswer: 3, 1567, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d**2\/11 - 13477278*d - 296500124\/11 = 0.\nAnswer: -2, 74125031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 1\/2, 4\/13085?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/sqrt(450).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of 5*x**4\/12 + 5*x**3\/2 + 142*x - 2. Let j(z) = 2*z**2. Give j(c(h)).\nAnswer: 50*h**4 + 300*h**3 + 450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 + 4*w**2 + w + 4. Let b = -18 - -47. Calculate the remainder when b is divided by t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55948.68 kilograms in grams?\nAnswer: 55948680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/36 and 173\/630?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**3 + 12*h**2 + 12*h + 6. Let k be d(13). Let l(z) = 5*z - 7. Let u(c) = 2*c - 4. Let b(i) = -3*l(i) + 7*u(i). What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 868, 1702, 2546, 3406, 4288?\n\"Answer: i**3 - i**2 + 830*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -0*q - 36. Let k be -2 - q - (-2)\/(-1). Suppose -3*i + 43 = 2*i + 2*l, 5*l - 55 = -k*i. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0.07, 8.6, 3 in increasing order.\nAnswer: -0.1, 0.07, 3, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 12562357 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 52556.79l to millilitres.\nAnswer: 52556790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/u**(-5))\/u)\/u)**(5\/6)*u**3*u**10*u assuming u is positive.\nAnswer: u**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 AM and 9:04 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**2 - 10 + 10)*(10*s**2 - 4*s**2 + 3*s**2) - 5*s**4 + 4*s**2 - 4*s**2 + (-2 + 1 + 4)*(2*s**4 - 4*s**4 + 0*s**4).\nAnswer: -29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2827 - -3180. What is the remainder when r is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from {i: 4, l: 2, e: 5, y: 4}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89 - 19 = -54*p. Let s(o) = o + 1. Let h(k) = 3*k + 3. Let x(v) = -h(v) + 2*s(v). Determine x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(128))**2 + -1.\nAnswer: 16*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 88 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 307669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3, 26, 63, 114, 179, 258, 351?\n\"Answer: 7*w**2 + 2*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 173066924 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + 5 + 24 - (8 - (-8 - (-35 + 11)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 9:02 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eme when three letters picked without replacement from {e: 11, m: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -243 - -266. Let i(u) = -36*u + 14*u + l*u. Let a(g) = -7*g**2 + 1. Give i(a(j)).\nAnswer: -7*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x**3 - 9. Let g(y) = 4*y**3 - 18. Determine 3*g(r) - 5*k(r).\nAnswer: 2*r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 461 - 246. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 25937 and 25931 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-1188)\/264*(-8)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -105 (base 6) to base 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 9*u**2. Suppose 571 = 15*i - 1439. Let j(m) = 134 - i - m. Determine j(z(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -7*i**4 - 149550*i**3 - 25263588*i**2 - 7205960*i = 0.\nAnswer: -21194, -170, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 19 = -3*x, x - 14*y + 18*y = -11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 79 - 78.5. What is the fourth biggest value in -2\/3, y, 15, -2\/17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59003 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 423 is divided by 110?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -142 + 832*s**3 + 47 + 50 + 46.\nAnswer: 832*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5 + -1620863.44.\nAnswer: -1620862.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2446 smaller than 2441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 17. Suppose c + 3*c = h. Solve 6*k - 10 = c*k - 2*x, -1 = -k - 3*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 - 9*m**2 - 2*m. Let b be o(-9). Let i be (-32)\/12*b\/(-8). Let q = i + 19. Solve -3*l + 15 = 4*f - 0*f, 0 = f - 5*l + q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 361*n**2 - 547279*n + 4545. Calculate z(1516).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/5*(-9)\/3*15. What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37666.\nAnswer: 2, 37, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1+-831.06085617\nAnswer: -832.06085617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 689*q**3 - 3*q**2 + q - 4688 wrt q?\nAnswer: 4134*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-3))\/(261\/81 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 90 + -85. Let o be 12\/j - (-7)\/14*-4. Which is the smallest value? (a) -1 (b) -5 (c) -5\/6 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5226.731 litres?\nAnswer: 5226731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/2, 5.86, -5, -7 in increasing order.\nAnswer: -7, -5, 3\/2, 5.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 671406404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 0*c - 20 = 0. Suppose -5*d = -0*d + 3*k - 15, 5 = -k. Suppose d*p + 37 = 67. What is the smallest common multiple of p and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -2*w**3\/3 - 8054*w**2\/3 + 24176*w\/3 - 16120\/3 = 0.\nAnswer: -4030, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3)\/(-6))\/(25\/(-10))*(-7875)\/175. Solve -2*h + f = u, -12*u = -3*h - 6*u - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x = 27*u - 32*u + 77, -85 = -5*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.1 + -2.1. Let x be -5 + ((-87)\/(-9) + -4 - (-68)\/51). Sort 0.2, 2\/3, x, f in ascending order.\nAnswer: f, 0.2, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -15 (b) 3\/8 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 divided by 2307.\nAnswer: -7\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**2. Let f(n) = 59486*n**2 - 3. What is f(m(t))?\nAnswer: 59486*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -75 - 61?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.6 - 0.55. Let p = l + -0.55. What is the second biggest value in p, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 304 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-767)\/21476*(-5)\/((-10)\/(-12))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 6 - 9 + 9 + 9 - 7 + b**2. Let u(d) = -9*d. Calculate u(o(s)).\nAnswer: -9*s**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-44)\/(-36)*1)\/(4070\/1110)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the third derivative of r**6\/20 + r**4\/4 - 3*r**2. What is the second derivative of x(b) wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21671*s**3 + 74*s - 163*s + 89*s.\nAnswer: -21671*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (2 + sqrt(243))**2)*-5.\nAnswer: -1255 - 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 45 - 44. Suppose 3*z - 3*d = 15, -s = z + 2*d + 3. Solve 4*u + 4 = -5*n, -u + 2*u + 4 = -z*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 45717330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 15b1 + bb?\nAnswer: 16b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 955980 divided by 477990?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 231 divide 752522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-12)\/10)\/((-3)\/50). Suppose -3*t + 22*t = 0. Solve 5*r = -t*r - c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -76 + 87. Solve y*i - 16 = 7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1b (base 16) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 75510.2926 rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 29 - 12. Let y = 17 - j. Let r = 117 + -118. Sort 4, -4, y, r in increasing order.\nAnswer: -4, r, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2712.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 45062 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * 3739298.\nAnswer: -11217894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9930?\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + (-20)\/12 - (-261)\/27. Let v = 21 - 21. Solve -2*x + g = x + u, v = 5*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 2*j - 3*j + 9 = 0, -3*h = -4*j + 14. Let o be 330\/114 - (-3)\/57*2. Solve -4*t = 5*f - 26, h*f = 5*f + o*t - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -3*f + 297, 4*p - 249 = -4*f + 139. Let d = f + -65. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-292*h + 114*h + 80*h)*(h**2 + 2*h**2 - h**2) + 0*h**2 + 0*h**2 + 2*h**3 to g + o*h + w*h**3 + i*h**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2806, 5607, 8408, 11209, 14010, 16811?\nAnswer: 19612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4491777076 to the power of 1\/2, to the nearest integer?\nAnswer: 67021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 2802 divide 584240015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10704 and 12042.\nAnswer: 96336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of -1 + 3\/2*q**2 + 3*q. Give y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1015819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 + 1 - 4*j - j**2 + j**2 + 2*j**2 + 1. Give q(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(136\/34))\/((-4)\/(-30)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.38 (b) -2\/5 (c) -2\/13 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 656 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: What is 95.98599 millimeters in meters?\nAnswer: 0.09598599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 259 + 144 + 108*r + 187 - 590.\nAnswer: 108*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-z + 87*z**2 + 21 - 39*z**2 - 46*z**2)*(2*z**2 - 9*z**2 - 2*z**2) to h*z + l*z**2 + k*z**3 + t + f*z**4 and give l.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3134*u - 5*a - 30 = 3089*u, -4*u + 15*a = -90 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6*l*p*v - l*p + 516*l*v + l + 3471*p*v - 2 wrt l?\nAnswer: 6*p*v - p + 516*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 189.3 + 32.144\nAnswer: 221.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -6*m + 2. Let d(a) = -12*a + 5. Suppose 4*v - 4 = -3*s, 0 = -3*v - 5*s - 32 + 46. Calculate v*d(n) + 5*x(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be -5 + 822\/120 - (2 - 0). Let w = x - -53\/220. Let j = -0.03 - -3.03. Which is the third biggest value? (a) w (b) j (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*d - 5*m - 66, 1939*d = 1940*d - 4*m - 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + a + 36 = 0, 4*m + m = 4*a + 84. Let d be ((-8)\/5)\/((-8)\/m). Solve 0 = 3*o + o + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 959, 3923, 10717, 23255, 43451, 73219?\nAnswer: 114473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/8 + (-20317)\/(-4). Let i = p + -30359\/6. Let h = -6728 + 40481\/6. What is the common denominator of i and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 13\/330? (a) -1 (b) -2\/13 (c) -0.4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d + 2*d + d)*(13 + 1 - 6)*(2 - 4 + 0)*(-1 + 2*d**2 + 1).\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 51479159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.04 + -3.96. Let k = 8770 + -8772. Which is the second smallest value? (a) k (b) y (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -885*x**3 - 949*x**2.\nAnswer: -5310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is b114 (base 12) in base 3?\nAnswer: 222021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -5 (b) 224 (c) -1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 533867685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 374*l**2 + 13458*l - 118. What is y(-36)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2511 = -648*h - 329*h - 3351 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-4*sqrt(91)*5 - sqrt(91)) + sqrt(91) + sqrt(91) + sqrt(91))\/(sqrt(49)\/(5*sqrt(7)) - sqrt(7)))**2.\nAnswer: 26325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 2*y = -4, 2*v + 0*y = 5*y - 1. Let h be (v\/(-9))\/((-2)\/(-36)). Is (-5327)\/(-14) - 9\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2270 and 14300?\nAnswer: 3246100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 58 = 18. What are the prime factors of (s\/8)\/(3\/12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*q**2 - 20*q**2 + q - 2*q**2 + q**4 + 1 to r*q**4 + i + x*q + c*q**2 + v*q**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 8 = -1, -n + 10 = 2*g. Put n, -6, -1, 2 in descending order.\nAnswer: n, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -2*c**3 - 36*c**2 - 7*c - 122. List the prime factors of d(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 46.9802, 0.5 in decreasing order.\nAnswer: 46.9802, 7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -20 + 19. Which is the closest to h? (a) 0 (b) 0.1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -18*x**2 - 319*x + 95. Let f be l(-18). Solve 5*h + 7*o - 22 = 10*o, -h = f*o - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.03? (a) 7 (b) -2 (c) -6\/35 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 0*a + 2*b = -220, 0 = -a - 4*b - 80. Suppose 311 = 7*p - 137. Let j = p + a. Let v(h) = h**3 + 7*h**2 - 9*h + 1. Give v(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 5 = -0*v + 2*v, -v - 1 = 5*y. Let p(o) = o**3 - 6*o**2 - 13*o. Let g be p(-2). Put v, 3, g in decreasing order.\nAnswer: v, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/9)\/((48\/(-54))\/2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (63\/2835)\/(6\/20). Which is the nearest to 1? (a) 2 (b) -2\/13 (c) 4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-30)\/(-51))\/(12\/2))\/(1645\/1974)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 + 10 - 6*(-14)\/6\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 3 - 2 - 3 - 4*k. What are the prime factors of f(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 27191 and -4.\nAnswer: -108764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143166 is divided by 35785.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 295720 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: Expand 2*q + 0 + 0 + (2 + 3 - 7)*(-8*q + q + 2*q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(343) + (1*sqrt(343)*-1 + sqrt(343) - sqrt(343)) - (4*(sqrt(343) + -3 + sqrt(343)) + sqrt(343)) - (-2 + 2*(0 + sqrt(343)))*5)**2.\nAnswer: -5852*sqrt(7) + 124307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 68559222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*s - 3 + 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 255682796?\nAnswer: 2, 63920699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 7290*f**5 + 80676*f**4 + 80784*f**3 + 30752*f**2 + 5152*f + 320 = 0. What is f?\nAnswer: -10, -2\/5, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -35*1329\nAnswer: -46515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 485*j + 1238. List the prime factors of w(5).\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(832) + -3)*2)**2 - 4*(4*sqrt(130))\/sqrt(10).\nAnswer: -208*sqrt(13) + 3364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4 * 0.0754295\nAnswer: 0.301718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*d + d. Suppose 2*s = 3*s - 16. What is the remainder when s is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 29 in 4\/7, 1\/7, -0.1, -1.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**2 - 27*c + 1011. Let q be k(-48). Solve -q*u = 5*s - 28, -28*u = 2*s - 23*u - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 3*q**2 - 9*q - 46. Let p = -9918 + 9913. Determine c(p).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1518050771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -2*a**3 - 46*a**2 - 180*a + 1022. Determine l(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 16, -0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1153*d - 4082 - 3989 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) -3\/11 (c) -1\/4 (d) 1\/5 (e) 308.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 19 by -837039.\nAnswer: -19\/837039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (5 + -7) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -13*f + 1262. Let p be w(97). Let t(b) be the third derivative of b**6\/20 + b**4\/24 - b**2. Calculate t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.3 - -0.00146\nAnswer: 1.30146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 5*x + 4 = -0*q, 0 = 5*q - 4*x - 7. What is the tens digit of (14\/q + -3)*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*i + 45 = 5*c + 12*i, -c - 3 = 2*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 15, -536, -3, 5, -44 in decreasing order.\nAnswer: 15, 5, -3, -44, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 778.2 times -73\nAnswer: -56808.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-48)\/(-40)*(-5)\/(-2). Suppose -4*z = -0*z - m*b - 44, -z + 2 = -3*b. Suppose 58 = 15*j - z*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9104 + 13143. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 50\/675 + (-307377)\/(-243) and 9.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 12 = 0, -4*s - 11 = -7*s + g. Let c = s + -11. Let m(l) = l**2 + l + 5. Is m(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**2 - 243*o - 1409. Calculate f(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-102) - (-17622)\/374.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -114*b + 18*b + 1558 = -14*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the second derivative of 1\/2*c**2 + 24*c + 0 + 1\/48*c**4 - 1\/6*c**3. Factor b(x).\nAnswer: (x - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -24, -36, -54, -78, -108, -144, -186?\n\"Answer: -3*w**2 - 3*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 2*q = -48. Let t = -8 - q. Is (-62)\/(-6) + t\/6 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.073 * -6.8\nAnswer: -0.4964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the second derivative of 0*r**3 + 11*r - 1\/2*r**5 + 0*r**2 + 11\/12*r**4 + 0. Find the third derivative of m(d) wrt d.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 139689294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w - 18. Let u be g(12). Suppose u*d - 41 - 7 = 0. What is the second derivative of 528*j**3 + d*j - 528*j**3 + 11*j**4 wrt j?\nAnswer: 132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 4*v = 68, f = -3098*v + 3094*v - 38 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 3*w - m + 3, -4*w - 2*m - 14 = 0. Let s be 3\/38*((-32)\/w)\/8. Which is the closest to -0.1? (a) s (b) 3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 782 and 552?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -5*x + 18 + 42, -3*x = -2*p - 58. Calculate the smallest common multiple of 8 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**3 + 2*t**2 + 11*t + 169. Let r be d(7). What is the nearest to -1 in 2.7, r, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 116986 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(2\/7))**7*(a**(2\/21)*a)\/a**(-8)*(a*a\/a**1)**(-45)\/(a\/(a\/(a*a*(a**(-2\/7)*a)\/a))*(a*a**(-1)\/a)\/a) assuming a is positive.\nAnswer: a**(-706\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 5*(-3*(-5 + (sqrt(180) - (0 + 0 + sqrt(180))))**2*1 + 1).\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + 4*t = -100, -12*p - 2*t + 1902 = 1972 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r. Let b(q) be the second derivative of -q**3\/6 + q. Let g(j) = -3*j. Let c(p) = 11*b(p) - 4*g(p). Calculate m(c(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4403.5 - 4394. Which is greater: 13 or g?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-320)\/(-15) - (-3)\/(-9). Calculate the highest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1468514 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 1 = 13, -3*o + 3*r = -9258. What is o rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -19631300, -39262604, -58893908, -78525212?\n\"Answer: -19631304*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 4, 6\/25, -1?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**4 - 1821150*x**3 - 276451471911*x**2 - 21002423301900*x - 398996083920108.\nAnswer: -3*(x + 38)**2*(x + 303487)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*a = -2 - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239 is divided by 224.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -1678*q = -1676*q - 40 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1246 - -673. Let c = -557 - a. Suppose 0*f + f - 5*q + 25 = 0, 4*f + 10 = 2*q. What is the smallest value in f, 2\/19, c, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 116724.416 from 0.096.\nAnswer: -116724.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -18683d94 + -5?\nAnswer: -18683d99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12492 and 95274.\nAnswer: 66120156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**3 - 6*w**2 + 5*w + 5. Let i be q(5). Suppose -2*f - i*k = -33, -4*f + k = -0*f - 11. What is the remainder when 19 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + -6. Does 8 divide 38 + (j - 0) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 5*d + 10 = -w, 2*d - 25 = 3*w. Suppose -4*j = 3*n - 4*n + 12, 20 = 3*n - 4*j. Solve z = d*z + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eve when three letters picked without replacement from {v: 5, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**2 + 10*s - 5 + 9 - 2*s.\nAnswer: 4*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 30, 16, 0.4, 2\/11, 1842\/5 in ascending order.\nAnswer: 2\/11, 0.4, 16, 30, 1842\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1635156 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -811*d**2 + 6686*d**3 - 16342 - 215*d**2 + 16342 wrt d.\nAnswer: 40116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 105\/28*(-8)\/3. Let q = -5 - u. Suppose -2*x - 165 = -q*r - 4*x, 3*r + 2*x = 95. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p + 1. Give j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.5 + 1.4. Let p be 2\/(-5) - (-3 + 2). Sort p, 0, s.\nAnswer: s, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 less than 6055.254983409?\nAnswer: 6057.254983409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87 + 87 + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 47 - 65. Let f(z) = -24*z - 14. Let b be f(m). Let r = b + -298. Calculate the greatest common divisor of r and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5832 - 3201. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 3*l = -5*l + 18, -u + l + 12 = 0. Solve -q + 3 = u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -7*n**2 - 3*n - 2. Suppose -5 = 5*i, -4*i - 7 + 15 = 4*k. Suppose -k*w + 9 = 6*w. Let y(u) = -u**2 - u - 1. Let t(v) = w*j(v) - 6*y(v). Factor t(c).\nAnswer: -(c - 4)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5790, -3, 20, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/25 - (-2 - 14\/(-10))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 3*s - 1 = -12, 5*z = 2*s. What is the units digit of (-3)\/z*(26 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 76*b**3 - 18*b**2 + 31*b - 16. Is o(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**2 - i + 7. Let f be s(4). Suppose f*b - 31*b - 100 = 0. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10160 (base 8) in base 2?\nAnswer: 1000001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 31*p**2 - 5*p - 13. Is v(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 6*u + 15 = 0, 3*r + 5*u = 36. What is the lowest common multiple of r and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 + 16699799.\nAnswer: 16699797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence buuc when four letters picked without replacement from bbcbgrggubgcgubg?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 4 + 4)*(-8 + 16 - 2)*(-73*d + 187*d - 376*d)*((-1 + 1 + 3*d)*(-2 + 1 + 3) + 2*d - 4*d + 4*d) as a*d + y + p*d**2 and give p.\nAnswer: 12576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1277 a factor of 181862263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 - 0. Let r = 11 - 13. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4947181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -1, -8, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 75\/22 and (-810)\/96*4\/6?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 269 = 767. What are the prime factors of o?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d + 0*u = 3*u + 48, -47 + 107 = 5*d - 7*u for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.8 + -4. Let g = -97463 + 97468. Sort g, k, -2\/13, 4 in decreasing order.\nAnswer: g, 4, k, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-1*sqrt(2736) + sqrt(2736))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 - 10 = 4*w - 3*r, -5*r = -w - 26. Let u be 1*(-14)\/2 + w\/(-2). Let o = 20 - u. Calculate the smallest common multiple of 18 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5017000 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:22 AM and 7:16 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1312789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*4*-2*sqrt(135))\/(sqrt(300) + sqrt(300)*3 + (sqrt(75) - (sqrt(75) - sqrt(75)*-3 - sqrt(75)))).\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 6 - 6998*g + 24 - 17.\nAnswer: -6998*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -5*r + 367. Suppose 0 = -y - y + 794. What is the remainder when y is divided by v(60)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4.8 + -4.24. What is s rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1520 and 25745.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g**5\/7 - 181*g**4\/7 + 345*g**3 + 7585*g**2\/7 + 3042*g\/7 - 1944\/7 = 0.\nAnswer: -2, -1, 1\/3, 27, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 + 5. Let v = -169 + 178. Let z be v\/(-24)*((-56)\/(-12) - 6). Which is the fourth smallest value? (a) k (b) -13 (c) z (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 607 minutes after 5:20 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 2*d + 46 = 0, 4*x - 36 = 6*d - 4*d. What is the smallest common multiple of 2 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -362*p - 10 + 10 + 100*p + 107*p + 120*p.\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6592995 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -18*r - 104. Let l be y(-6). Solve -4*t = 16, -20 + 0 = g + l*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62 - 1977*c + 117 - 801*c - 1483*c - 178.\nAnswer: -4261*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * 393.\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zttz when four letters picked without replacement from tqzqqqpqztqqqqqtqqq.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -2*g + 188. Let i(r) = 2*r - 163. What is 3*i(w) + 2*z(w)?\nAnswer: 2*w - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 39243805.64 to the nearest 100000.\nAnswer: 39200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1129 = 2*y - 1503. Let f = -649 + y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1896 is divided by 324.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - g = 0. Suppose g = 5*f - 30 - 50. Let w = 26 - 17. Calculate the remainder when f is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from zzzzzqzqzq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-29 - -2)\/((0 - -1) + -2). Is s\/(-63) - 8452\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*l + 4*a - 2, -142*l - 6*a = -145*l - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 34 (base 5) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 113825, 227642, 341449, 455240, 569009?\n\"Answer: -m**3 + m**2 + 113821*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28555831 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 194ad9 (base 14) to base 5\nAnswer: 212143240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 12) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5a0 - -35?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -65, 0.08, -0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 2 + 0 = 0. Let r be (8\/14)\/(u\/7). What is the remainder when r\/(0 - (-2)\/18) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(2\/7))**(-5\/8))**(-3\/7)*((((g\/(g\/(g**(2\/5)\/g*g))*g)\/g)\/g)**(-4\/17))**(-25) assuming g is positive.\nAnswer: g**(-21225\/6664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**2 - 13*y - 23. Let s be n(-11). Let w be 4*(-4)\/48*(s - -7). What are the prime factors of 171 - w\/(6\/9*1)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -619.073331 and 0.038.\nAnswer: -619.035331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 24 = 4*q. Calculate the remainder when 58 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 5*l**3 + 4*l**2 - 8. Suppose 0 = 5*n - 4*x + 4, 8*n + 59 = -3*x + 15. Let z(j) = 6*j**3 + 5*j**2 - 7. What is n*z(c) + 5*i(c)?\nAnswer: c**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -22031650 - -2?\nAnswer: -22031645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 11, 33, 67, 113, 171, 241?\n\"Answer: 6*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12944?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*s = -5*s. Suppose -4*p = 3*m - 5*p - 322, -m - p + 106 = s. Let n = -50 + 86. Calculate the remainder when m is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 58*w - 2900 + 2905 - 59*w. What is z(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22 - (98\/48 - 660\/15840)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2475 is divided by 243.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*t**3 - 108*t**2 - 105*t\/2 - 13\/2.\nAnswer: -(t + 13)*(4*t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -555*g = 1152*g - 17024 - 46 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, 16, -4 in descending order.\nAnswer: 16, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 112 + -101020?\nAnswer: -100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19298*s - 19302*s + 377 + 678.\nAnswer: -4*s + 1055","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:21 AM and 8:17 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand u**3 + 0*u + 0*u + (265 - 265 + 11*u**2)*(4*u + 13*u + 3*u).\nAnswer: 221*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 0*a - 1, 7 = 2*o + a. Suppose 0 = -9*m + o*m + 5. Let k = m - -2. Solve -13 = k*b - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 19 = 2*j, 3*j + 2*w - 14 = -j. Let o(s) = s**3 - 5*s**2 - 2*s + 10. Let z be o(j). Are z and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*o - 500 + 524 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (3 + -4 + 0 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -0.5 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 75016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 + 0 - (-1)\/1. Let a(q) = -2*q + 6 + q - 19 + c*q. Let k(i) = -3. What is 2*a(m) - 9*k(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -19414, 3.\nAnswer: -19414, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 6, 3\/4, -1, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 + 8*l**2 - 2*l - 5. Calculate y(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 308764 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*c**4*h - 183*c**4 - 5*c**3*h + 22*c**2*h + 3*c*h - c + 11*h wrt c.\nAnswer: -96*c*h - 4392*c - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(s*s*s*s**(-1\/30)\/s*s*s*s))\/s)\/((s**(-2\/37)*s)\/s))**(-49) assuming s is positive.\nAnswer: s**(267197\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8760 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*(-2)\/(-16))\/((-16)\/(-64))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 95466401 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -24 - 38. What is the tens digit of 1\/3 - v\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 263*p**2 + 28*p - 558. Let b(c) = -262*c**2 - 21*c + 558. Let h(j) = 4*b(j) + 3*w(j). What is the first derivative of h(l) wrt l?\nAnswer: -518*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -51894*g - 1712. Is p(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*j + 3*j + 0*j)*(-2*j**2 - j**2 + 0*j**2) + 3*j**3 - j**3 - j**3 + (-j - 2*j - j)*(-2*j**2 + 0*j + 0*j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -4*q**5 + 680*q**4 - 41808*q**3 + 1087072*q**2 - 9818240*q = 0.\nAnswer: 0, 20, 46, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.1 - -39755890.026\nAnswer: 39755890.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 PM and 5:14 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(330)\/sqrt(11))\/sqrt(10).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xqcsi. What is prob of picking 1 c and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {x: 3, r: 8}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 4576 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the first derivative of 0*x**4 + 2 + 0*x**5 + x**2 + 0*x + 0*x**3 + 1\/2*x**6. What is the second derivative of n(j) wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - q = -216. Suppose -3*g - 80 = -3*y + 7, 4*g + 68 = 2*y. Calculate the highest common factor of q and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 0 (b) 5\/6 (c) 13 (d) 0.5 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -313? (a) -3 (b) -2\/3 (c) 2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x = -557 - 28. Let g be (-7 + 2)\/(13\/x). Let h be (4\/(-10))\/((-5)\/g). Put h, 5, 1 in descending order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -60*v**4 + 11*v**2 - 4*v**2 + 557 - 556 as u*v**4 + p*v**3 + s*v**2 + h*v + j and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 - 2*a + 4)*(2*a**3 + 2*a**2 - a**3 - 4*a - 2*a**3) as w*a**4 + x + h*a**3 + r*a + s*a**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 11100012 (base 4) to base 16\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 13149109 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -17915823 less than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 9b (base 16) in base 15?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**2 - 244*v + 25887. What is c(80)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + o + 5 + (2*o - 4*o + o)*(-2 - 3 + 0))*(2*o - 3*o + 3*o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 159906607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and 0.09?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 27*n - 7. Let b(z) = -4*z + 1. Let q(x) = 35*b(x) + 5*i(x). Let j(l) = 21*l. What is q(j(v))?\nAnswer: -105*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1505847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:54 AM and 4:14 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 436 + -433. What is the least common multiple of i and 393?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -10*t**3 + 3*t**2 - 15*t + 8. Let c(u) = -41*u**3 + 12*u**2 - 60*u + 36. Determine 2*c(x) - 9*y(x).\nAnswer: 8*x**3 - 3*x**2 + 15*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 95 + -93. Solve m + 2 = -4*r + l*m, 0 = -2*r + m - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 2*z**2 + 131*z + 1266. What is q(-56)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Divide 106 by 1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**2 + 0 - 4 + 12 + 8*d. Let t be w(-9). Suppose -8*g = -t*g. Which is bigger: -5\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 + p + 1. Let o(m) = -m**2 - m + 1. Let g(f) = f**2 - 4. Let c(z) = g(z) + 2*o(z). Give 6*a(y) + 3*c(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 145523511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j + 3. Let f be o(3). Which is smaller: f or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -0*u + 5*s + 115, -3*s + 3 = u. Let i(y) = y**2 - 25*y + 96. What is i(u)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/7, 1\/7, -17\/2, 4\/43?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 12 - 47)*(-2*o - 2*o + 2*o + (5 - 4 + 1)*(-4*o + 2*o - 3*o) + o + 0*o + 2*o).\nAnswer: 405*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -721.3894768 to 2 dps.\nAnswer: -721.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -243 by -27.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2 > 193\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/7*a**3 + 222\/7*a**2 + 320\/7*a - 216\/7.\nAnswer: 2*(a + 2)*(a + 54)*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**2 - 6*a**2 + 2*a**2)*(a**2 - 2*a**2 - a**2).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 3:08 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -632501*n**3 - n**2 - 32269739?\nAnswer: -1897503*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 150 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1f - -8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 512894 is divided by 694?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -48 + 399 = 117*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -497 - 2821*b**3 - 9*b - 4185*b**3 + 0*b + 1882*b**3 + 8*b wrt b.\nAnswer: -30744*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 4*h + 148 = 0, -u - 3*u + 148 = 3*h. Let f = -44 + u. Put 0.1, 4, f, -0.3 in descending order.\nAnswer: 4, 0.1, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 342 (b) -5 (c) 1\/4 (d) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(5\/7))**(1\/15)\/(c*c\/c**(4\/5)*c*c\/(c**(-6\/17)*c)*c*c) assuming c is positive.\nAnswer: c**(-8042\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*c**2 + c**2 + 4*c**2 + 0*c**2 + 0*c**2 - c**2 - 6*c**2 + 4*c**2 + c**2 + (5*c + 0*c - 3*c)*(3*c - 2*c - 2*c) - 4 + 3*c**2 + 4.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10885 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -455 + 44. What is the remainder when l is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 280 and 196?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -20.4 - -20. Suppose 3*l = -l. Let d = l + -1. Sort r, -5, d in descending order.\nAnswer: r, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 2 + -1 - (-20 + 25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -785 - -787. Let t be 51\/12*(7 - 11). Let j = t - -22. Which is the third biggest value? (a) j (b) w (c) -2\/7 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 188.519711088 - -52.\nAnswer: 240.519711088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30 - 1 - (31 + -80 + 40)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -379787, -756628, -1133469?\nAnswer: -1510310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -43*b**5 + 16*b**3 + b**2 + 112*b - 2 wrt b.\nAnswer: -2580*b**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*q - 14*q + 192 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 5*l**2 + 6. Let a(q) = 8*q - 27. Let j be a(5). Let z(k) = 10*k**2 + 13. Calculate j*o(t) - 6*z(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 79\/7, -3, -1\/2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -2*y. Let w(r) be the first derivative of r**3\/3 - r - 2. Let h be w(-1). Let f(z) = 6*z + 4*z - 5*z + h*z. What is k(f(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2278 and 67966.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g - 2*g + 3*q - 7 = 0, -5*q + 41 = 4*g. Suppose -2*d + 3*j + 4 = 0, -j - g = -4*d + 4. Solve 4*n - 10 = d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 + -2)\/(40\/30). Let v = -5 + 4. Let t be (-9 - 1352\/(-152))\/1. Put v, t, n in ascending order.\nAnswer: n, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -39*t**2 + 1216*t - 280. Calculate k(31).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -28, -75, -162, -301, -504, -783?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 AM and 7:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (736\/(-828))\/((-808)\/41814).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3278000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -6*(((1 + sqrt(34)\/sqrt(2))**2 - sqrt(17)) + sqrt(85)\/(sqrt(20)\/sqrt(4))).\nAnswer: -112 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -6900376?\nAnswer: 5\/6900376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 22973305 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is -6 minus 139857.8097?\nAnswer: -139863.8097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 73021313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011001 - 100?\nAnswer: 10010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1462 (b) 1\/5 (c) 20 (d) -2 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of -90*g**7\/7 + 2*g**3\/3 + 2*g**2 + 124. What is the third derivative of i(u) wrt u?\nAnswer: -10800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 65+-0.3302\nAnswer: 64.6698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 92716, 183287, 273858, 364429?\n\"Answer: 90571*r + 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6537 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(-18)*3\/(-1). What is the nearest to r in 0, -5, -4, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p - 231 = -15. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 + 22 = 8*r. Suppose 5*m + 4*p + 6 = 19, -2*m = 5*p + r. Find the third derivative of -14*i**5 + 0*i**3 + 0*i**3 - 17*i**m + i**2 wrt i.\nAnswer: -1860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/((-3*(-4)\/4)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-3))**(1\/6)\/(m**(-9)*m**(-2\/11)) assuming m is positive.\nAnswer: m**(191\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 AM and 4:11 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -389, 361, 1771, 3835, 6547, 9901, 13891, 18511?\nAnswer: 23755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 82120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 642 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 314 + -204. Suppose -175 = -2*b - j, p = 9*b - 8*b + 5*j. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 5, t: 5, c: 1}. What is prob of picking 2 t and 1 m?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 6*u = -10, x + 697*u = 693*u + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**3 + 5*p**2 + p - 3. Let j be x(5). Let u be j*(14\/4 - 1). Suppose -2*o + g - u = -28, 0 = -5*o - 4*g + 38. Solve 2*q - 4*q = -o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from {h: 2, w: 2, y: 1, k: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.21 times -0.08\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42 - 14. Suppose 0 = -4*q + 192 + m. What is the highest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 192 - 196 - (-1 - (-2 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1684*m**3 + 1229*m**3 + 457*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 2*x + 4. Let p be (2 + -5)\/((-3)\/19). Suppose -5*r - 6 - p = 0. Give v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -74*u**2 - 4*u. Let j(p) = -p**2 - p. Let x be -5 - 117\/(-12) - ((-11)\/(-4) - 2). Give x*j(o) - i(o).\nAnswer: 70*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1d4ab - -16b?\nAnswer: 1d638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(1\/(-45)*-1). Suppose t - k = -16. Suppose 4*o - 3*o = -4*z + 33, 3*z = -o + t. What is the remainder when 99 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10660 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o + 19. Give g(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p\/((p\/p**(1\/5)*p)\/p)))**(24\/11)*(p**7)**(-28) assuming p is positive.\nAnswer: p**(-10684\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 48 = 3*p, 4*d + 2*p - 5*p = 64. Let o(s) be the first derivative of 2*s**2 - 39*s - 54. List the prime factors of o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 104 in -1\/3, -0.3, 187\/9, -1\/2?\nAnswer: 187\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, -14, -58970 in decreasing order.\nAnswer: 4, 2, -14, -58970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 61156827 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((4*c + 0*c - 3*c)*(12*c**2 - 38*c + 38*c) - 2*c**3 + c**3 - c**3)*(2 + 1 - 5)*(-6 + 1 + 2)*(6 - 2 - 2) to j*c**2 + a*c**3 + w*c + q and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 321\/5 - 64. Let j = -2.4 - -0.4. Let l = j + 2.3. Which is the nearest to 0.1? (a) u (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-54))\/((-1018)\/4581).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-36)\/14*35*(-24)\/(-1560)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 2281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-6)\/16)\/(6\/(4 + -76)). Let w(i) be the second derivative of 2*i + 0 + v*i**2 - 2\/3*i**3. Differentiate w(s) with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 4*(5 + (-1 + sqrt(363))*-1*2) + -4.\nAnswer: -88*sqrt(3) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -0.0041, -0.14263 in ascending order.\nAnswer: -0.14263, -0.0041, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is u in -4*u**3 + 10944*u**2 - 185132*u + 652560 = 0?\nAnswer: 5, 12, 2719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 58 + -58.5. Which is the second smallest value? (a) 2.1 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 51012727 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7379 - 6787. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of -n**6\/20 - 131*n**5\/60 + 23*n**4\/24 + 11*n**3\/2 + 3248*n**2 - 2. Determine w(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -3*q + 498 + 351, q = 2*s + 294. Calculate the remainder when q is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 171 = -l + o, -3*l + 8*l - o = -863. Sort 2, 4, -7, l.\nAnswer: l, -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.552 + -1.052. What is the nearest to -11 in d, 0.05, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/6*6\/(-81).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g + 1. Let x(p) = 122*p**2 - 24*p + 12. Calculate 12*j(k) - x(k).\nAnswer: -122*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**3 - 11*n**2 + n + 13. Let k be q(-11). Suppose 0 = -0*i - k*i + 2. Put 5, i, 3 in increasing order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -12 + 285?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.1797 + -31.1603. Let z = -31 - o. Let d = 0.18 - z. What is d rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 4335*q + 11 = 4339*q, -2*f = q - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -6672*w**3 + 4*w**2 - 3*w + 1. Let a be t(2). Let n be (-14 + 31 - 24) + 2 + -94360. Let o = a - n. Round o to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -162*o + 6423 + 5632 = -1229 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.441 - -0.059. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8513, 8500, 8483, 8462, 8437, 8408?\nAnswer: 8375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-5)\/280*-554 - (6 - 3)\/21. Let q(r) be the first derivative of -34 - 21\/2*r + t*r**2 - 3\/8*r**4 - 5\/2*r**3. Factor q(y).\nAnswer: -3*(y - 1)**2*(y + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u**(-1\/2)\/u)\/u*u**(1\/42))**(31\/3))**50 assuming u is positive.\nAnswer: u**(-80600\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 51636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 4*p = -48, 7283*p = 3*j + 7284*p + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the second derivative of h**5\/4 - 15*h**4\/2 + 2*h - 3. Factor b(k).\nAnswer: 5*k**2*(k - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -539*a*x**3 + 342040*a*x - 21097*x**4 + 2*x**3 - 2*x**2 + 60*x wrt x?\nAnswer: -3234*a - 506328*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (609 - -4 - -4) + -1. Let v be (-2)\/7 - 8361\/14. Let q = o + v. Find the common denominator of -99\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (j - 6*j + 2*j)*((4 - 4 - j)*(2 + 2*j**2 - 2) + j**3 + 3*j**3 + 6*j**3 + (-j - 3*j + 3*j)*(2*j - 2*j + 3*j**2) + 0*j**3 + 5*j**3 - 3*j**3).\nAnswer: -21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l**(4\/11)\/l)*l*l**12)**(1\/4))**(-34) assuming l is positive.\nAnswer: l**(-2737\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 417652 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**3 - 10*c**2 - 4*c + 10. Let d be k(-10). Calculate the greatest common factor of d and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express a - 2*a**4 - 19*a**3 + 2*a**2 + 23*a + 20*a**3 in the form z*a**4 + k*a + h*a**2 + u*a**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 4:29 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27\/3*2\/(-12)*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12176933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 12, -7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 11741 less than 1984361\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19662.\nAnswer: 2, 3, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 1 - y - 4*y + 7*y. What is the units digit of k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3125.08 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-100)\/525)\/(10\/4*(-12)\/(-45))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 1 = -61. Let y(h) = -h**3 + 3*h**2 - 20*h**2 + 9*h**2 + 5 + 18*h + 11*h**2. Let u be y(6). Calculate the greatest common factor of u and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 295*j + 15447 + 11988 = 0 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8*c**2*m*r**2 + 74*c**2*r**2 + 155*c**2 - 17*c*m*r**2 + 9*c*m wrt m.\nAnswer: -8*c**2*r**2 - 17*c*r**2 + 9*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 378, 1662, 3854, 6954, 10962, 15878, 21702?\nAnswer: 28434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + -320?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 3386 and 0.0523.\nAnswer: 177.0878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = m - 1, 4 + 9 = 3*v + m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 878, 1767, 2662, 3563?\n\"Answer: 3*y**2 + 880*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*405.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5830564 is divided by 971756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 144029995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 4*b - 47 + 38 - 47. Let h(l) = 4*l - 57. Let u(d) = 4*h(d) - 5*w(d). Find the first derivative of u(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*i - 5*i - 9*i + (2 + 2 - 2)*(-i + i + i))*(9*i + 0*i + 3*i).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-3))\/((-4)\/48*-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-11) + (15*(-5859)\/(-1705) - 33))*-6?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 53527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -567*n**6 - 187*n**4 + 2*n**3 - 184323*n**2?\nAnswer: -68040*n**3 - 4488*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (((-3*(0 + sqrt(12)) - -6*(0 + sqrt(12))) + 1)*5 + 4)**2.\nAnswer: 540*sqrt(3) + 2778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 43974296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 102, 211, 320, 429?\n\"Answer: 109*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/r**(-2\/3)))\/r)**41 assuming r is positive.\nAnswer: r**(-205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the first derivative of t**3\/3 + 15*t**2\/2 - 73*t - 93. Let b be m(-19). Solve 0 = 6*q - 3*q + 15, 3*k + b*q = -6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -3. Let h(k) = 13*k - 1. What is the tens digit of h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(60)*1)\/(sqrt(48)\/(sqrt(24)\/sqrt(6))) - (-5 + (2*sqrt(60)*3)\/((2*sqrt(96))\/sqrt(8) - sqrt(12))).\nAnswer: -9*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of -h**7\/840 + h**6\/480 + h**5\/240 - h**4\/96 + 11*h**2\/2 - 19*h. Let y(i) be the first derivative of x(i). Factor y(s).\nAnswer: -s*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 146 divided by 34?\nAnswer: 73\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2 times -179806\nAnswer: -359612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**4\/v)\/v**(-1\/17))\/(v**(1\/20)\/((v**(-1\/6)\/v)\/v)) assuming v is positive.\nAnswer: v**(859\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 + 28 = -10*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3, 80, 5.\nAnswer: -1, 3, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ljjl when four letters picked without replacement from jldjdlldl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -408334*o - 2858307. Calculate c(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 2290 divided by 2\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42 and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 943 * -0.92.\nAnswer: -867.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -64\/27 and 2\/(60\/122) - (-20)\/(-50).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*r**4 + 446*r**3 - 180*r**2 = 0.\nAnswer: -45, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 1 = -2*q - 2, 0 = 2*q. Let j(l) = 53 + 61 - 151 + 6*l. Let d be j(7). Solve -4 = -o - d*f, -w*f + 4 = 2*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t - 4*p + 16, 2*t - 6*p + 7*p - 13 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 + 5)*(k + k - k)*(5 + 5 - 5).\nAnswer: 45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1919826993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1\/5)\/z)**2)**(-30) assuming z is positive.\nAnswer: z**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*c**2 - 6 - 7*c - 1 + 6 to the form x + f*c + l*c**2 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**2\/8 - 11667*x\/4 + 210249\/8.\nAnswer: -3*(x - 9)*(x + 7787)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*s**2 - 20449090*s - 388346133?\nAnswer: -8*s - 20449090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 15*f**2 + 356 - 5*f**2 - 4*f - 346 - 5*f**2 - 2*f**2. Suppose -9*b = -4*b + 25. Let v(n) = 4*n**2 - 5*n + 11. Determine b*v(d) + 6*s(d).\nAnswer: -2*d**2 + d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1517 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 855 is divided by 272.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 209 and 38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 4*k. Let r(l) = 1392*l**2 + l. What is c(r(g))?\nAnswer: 5568*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 2539 divide 188652017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -946 divided by 93\nAnswer: -946\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-63 + 63 - 123*n)*(6*n**2 - 4*n + 4*n + 3*n).\nAnswer: -738*n**3 - 369*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**2. Let j(s) be the second derivative of -1\/3*s**3 + 0*s**2 + 0 + 3*s. Calculate j(w(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 4*a = 288, 0*t = 3*t - 4*a + 215. Let o = t + 88. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/4 + 220145*a**2\/4 - 110073*a\/2.\nAnswer: a*(a - 1)*(a + 220146)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from edddddde.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y + 3. Let r be l(3). Suppose r = 2*p + 1 + 1. Which is the smallest value? (a) -2 (b) 4\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1396167967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.052099 and 7.\nAnswer: 7.052099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 103 divide 4613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 83361.224 rounded to the nearest 100?\nAnswer: 83400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 5*x**2 + 16*x + 33. Determine v(6).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*v + 6*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 plus 2820650?\nAnswer: 2820649.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s + 41 + 114. Suppose -s*v + 503 = -30*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 49 - 9. Suppose -x + a = -5*m, -5*x + 3*x + 3*m + 80 = 0. Let q = 144 - x. What is the greatest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, 478, 3?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-171)\/45 - (-45)\/(-225)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -5*v - 5*d, 3*d = -4*v + 8 - 29. Let c(u) = u + 3. Let p be c(-9). Let r(b) = b**2 + 5*b - 3. Let k be r(p). Put 0, k, v in increasing order.\nAnswer: v, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1888 + -1840. Calculate the highest common divisor of q and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/54 and -58\/45?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 111 and 5157?\nAnswer: 190809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 217 divide 256494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*x = 9*x. Suppose 4*a + 8*a = x. Suppose 5*j + l - 996 = a, -8*j + 11*j = 3*l + 612. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-636)\/30)\/((-6)\/165) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 10 = -116. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 4*g - 850. Let -190*x**3 + 1 + 115*x**4 - 16 - 30*x + 145*x + 70*x**4 - g*x**2 + 75*x**5 = 0. Calculate x.\nAnswer: -3, -1, 1\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1090 - 944 - 1095 + 895)*(2*f + 0 + 0) in the form w*f + q and give w.\nAnswer: -4468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2709668 + -0.7?\nAnswer: -2709668.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 5*g - 84. Let z = g + -3. Suppose 0 = -4*p - 3*w + 47, 4*w - 67 = -5*p + 3*w. What is the smallest common multiple of p and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, y: 3, a: 1}. Give prob of picking 2 y and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b + 2. What is the units digit of j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*a + 2*a + 117*a**2 + 12443*a**3 - 117*a**2.\nAnswer: 12443*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1744 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3720745 (base 11) in base 13?\nAnswer: 1457c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -255*g = 10754768 - 10779248 for g.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1\/14))**(-26)*n**(3\/4)\/n*n*n**(1\/2) assuming n is positive.\nAnswer: n**(87\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -a**6 + 117*a**4*g**2 - a**2*g - a*g**2 - 25 wrt a.\nAnswer: -120*a**3 + 2808*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -j*m**2*r**3 + j*m**2*r**2 + j*m*r + 833*j*r**3 - 2*j*r**2 - 2*m**2*r - r wrt r.\nAnswer: -6*j*m**2 + 4998*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2*(2 - (-14)\/(-4)). Let w(k) = 2*k + 18. Let i be w(-6). Let r = v + i. Calculate the remainder when 14 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(21)\/sqrt(7)*2)**2 - (sqrt(3) + sqrt(27)*-6 + (sqrt(6) - 1*sqrt(6))\/sqrt(2)).\nAnswer: 12 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 206*12.\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 25 (b) -2\/3 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to 2\/565835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 4*c**2 + 27*c - 35. Is m(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -91 - 89. Does 8 divide (14\/21)\/((-1)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -32*d**4 - 23*d**4 + 0*d**3 - 5*d - d + 3 - d**3 wrt d.\nAnswer: -660*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 8*z**2 - 8*z - 462. Let p(o) = -2*o**2 + 3*o + 3. Determine -b(t) - 3*p(t).\nAnswer: -2*t**2 - t + 453","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37032659?\nAnswer: 37032659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.1535 + 1.079. Let w = b - -1.0745. Let h = -0.2 + 0. Sort h, w, -2\/21, 0.2 in decreasing order.\nAnswer: w, 0.2, -2\/21, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) 740\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ydpyiddyyymx. Give prob of picking 1 d and 1 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 2*t = -4, -2*i - 2 = -3*t - 1. Suppose 1 + i = p - 2*b, -3*p + b = 4. What is the fourth smallest value in p, 0.3, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(500) - sqrt(500))*5 - -6*(-2 + sqrt(500)).\nAnswer: -12 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.1 + -0.4. Let z = 0.8 + f. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 44707 and 673075.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -27 - -349\/13. Suppose 6*i + 15*i = 82 + 2. What is the smallest value in 6, j, -1\/7, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 - 7*u - 13. Suppose h - 12 + 3 = 0. Let p be k(h). Suppose p*x - 32 = x. Calculate the remainder when 15 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -3 - -12392\nAnswer: 12389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6*(-4 + (8 - 5))*-100 and 4?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -4 - 4*q + 9 + 3*q. Let n be j(4). Suppose n + 5 = p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 6, s: 6}. Give prob of sequence mm.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = -4*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, -39897 in decreasing order.\nAnswer: 1, -1, -39897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -275*(-25)\/825*-3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -b913 (base 12) to base 8.\nAnswer: -47537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46948?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.1, -0.1, -3\/32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of s**5 - 4553*s**3 - 249*s**2 + s - 3 wrt s.\nAnswer: 60*s**2 - 27318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + d - 2*d + 22 = 0, v + 1 = -2*d. Let o(l) = -15 + 4 + v - 6 + 4*l. Is 8 a factor of o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 5*v**2 + 30*v - 3. Let j be m(-6). Suppose -6 = 2*u - 4. Put 4, j, u in increasing order.\nAnswer: j, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - w = 13, -7*w - 5 = -5*x - 2*w. Suppose -1 = r + n + 3, 0 = -x*r + n. Sort r, -4, 1.\nAnswer: -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -11*c**4 + 2*c**2 + 2*c + 1. Let a(v) = 21*v**4 - 5*v**2 - 5*v - 3. Let p(t) = -2*a(t) - 5*n(t). What is the derivative of p(r) wrt r?\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -674, -676, -680, -686, -694, -704?\n\"Answer: -f**2 + f - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 2*p**4\/11 + 416*p**3\/11 + 7056*p**2\/11 + 41472*p\/11 + 82080\/11 = 0.\nAnswer: -190, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 418 = -4*u + 1570, z = u - 292. Let t be (-16)\/8*u\/(-4). Suppose 0*w - 5*w = -t. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -176 + 7 - (553 + -649).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 250551\/1396495 + -1\/9631. Let w = c + 1618\/3915. Find the common denominator of -107\/30 and w.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 8*t**2 + 3*t - 9. Let o(v) = 7*v**2 + 2*v - 8. Let m(b) = -5*h(b) + 6*o(b). Suppose -7 = -2*p - 3*n - 3, -36 = 4*p - 5*n. Does 16 divide m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1884559, 1884574, 1884589?\n\"Answer: 15*u + 1884544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**3 + 4*w**2 - 4*w**2)*(w + 4*w - 2*w) - 5*w**2 - 12*w**4 + 34*w**2 + 4*w**2.\nAnswer: -6*w**4 + 33*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 723216 divided by -15067\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7 and 86.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 68083917 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*u + 5*g - 90, -u - 30 = -258*g + 267*g for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - (6 + 8) - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -4. Let o be 4 + 2 + 156\/(-8). Let c = 13 + o. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -2*n + 26. Suppose 0*a = 4*a - n. Suppose 17 = 2*y - 17. What is the remainder when y is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -2*f + 11. Let j(y) = 7 + 6*y - 14 + 5. Let l be j(-1). List the prime factors of t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -136*z. Let c(n) = -1123586*n. Give c(i(w)).\nAnswer: 152807696*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 34 + -34. What is the smallest value in h, 5, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/14 - (-8136)\/56. What is the second derivative of l + 0*r - 145 - 8*r**3 + 30*r wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3951100128 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 12049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.007522 to four dps.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 74 + -72. Solve 0 = -3*w + w + o*c - 10, -5*c = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 4*z = -5*p - 12, 5*p = z + 25. Let s be p\/(-10) - 308\/(-20). What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*d = 11*d + 35. Solve 11*n = -14*n - d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(180) - (sqrt(180) + 3*(sqrt(180) - (sqrt(180) + 2)) + sqrt(180)))**2.\nAnswer: -72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 21*d**2 + 30*d + 29. List the prime factors of k(-19).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -275*d + q = -274*d, 0 = 4*d - q. Suppose d*w - 2\/9*w**4 + 0 + 2\/3*w**2 - 4\/9*w**3 = 0. What is w?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3629750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-3))\/(((-2)\/(-216))\/(-54*8\/(-576))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*-2*sqrt(3) + -1 + sqrt(192) - -5*sqrt(72)\/sqrt(6)) + 3)**2.\nAnswer: 120*sqrt(3) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13093 + 24918. Is 40 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2800 > -2804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of 6*v + 1\/2*v**2 + 1. What is the units digit of x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/7)\/x*x*x\/(((x\/(x*(x*x**(-2\/3)*x)\/x))\/x)\/x)*x\/x**(1\/18)*x**(-17))**(-2\/37) assuming x is positive.\nAnswer: x**(1621\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 1307a4 (base 14) to base 7.\nAnswer: 5364264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2389*c = 10*k + 2385*c - 12, -3*k = -4*c - 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 48*z + 58. List the prime factors of h(8).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.7 + -1.7. Which is the third biggest value? (a) -0.2 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -4911*b + 1635348. Determine d(333).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3066 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -20*a + 120. Let d be w(6). Suppose 5*h - 3460 = -5*k, d*h = -4*k - 5*h + 2766. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*v - 3*v**4 - 10*v - 2*v**2 + v**4 to p*v**4 + j*v**3 + x*v**2 + l*v + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**2 + 8*x + 50. Let g be s(12). Suppose -z = g, z + 3 = 3*u - 11. Solve -4*a + u*r = -4, -5*a - 2*r - 10 = -4*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 612 and 2286126?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2 - 10*y - 5. Give m(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -19034 = -10313*i + 10006*i for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -57 - -81. What is the smallest common multiple of h and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -53 - 7*y - 2*y - 5*y - 13*y + 19*y. Let h(n) = -2*n - 13. Give 2*f(z) - 9*h(z).\nAnswer: 2*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 83 + -86. What is the closest to -1\/5 in 1, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 4 - -3 - (-6 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11972*i**3 - 2984*i**3 - 2985*i**3 - 2907*i**3 - 2902*i**3.\nAnswer: 194*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*i - 705 - 18*i**2 + 705 - 7*i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 4*x = -116, 4*n - x + 4*x = -111. Let q = n - -44. Suppose -25*s + q*s = 0. Solve f + s*f = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -36616 divided by -8180\nAnswer: 9154\/2045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2*v - 3*v + 7*v. Let j(f) be the second derivative of 5*f**3\/3 - 65*f. Give i(j(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 10*z**3 + z**2 + z - 1. Let b = -8 + 8. Let h be (-3)\/(0 + -3) + b. Calculate the remainder when 20 is divided by x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 12*r**3 + 3*r**2 - 3*r + 3. Let t(k) = -137 + k**2 - 6*k**2 + 5*k + 132 - 23*k**3. Give 5*p(a) + 3*t(a).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 34 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2197290787 less than 0.016?\nAnswer: -0.2037290787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l. Suppose 3*k = 5*k. Suppose k*p = -5*p. Determine g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 20*i + 65*i**5 - 15*i + 513*i**5 + 10*i wrt i?\nAnswer: 11560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1242 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-5*(-15)\/25)\/((-17)\/(-68))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*q**2*t**2 + 173110*q**2*t - 4111652*t**2 wrt q.\nAnswer: 12*q*t**2 + 346220*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + -1.3. Let k = 1.1 + v. Which is the nearest to -1? (a) -3\/8 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/1*(-6)\/(-8). Let t(a) = 18*a**2 + 62*a + 1. Let b(u) = -20*u**2 - 68*u - 1. Let s(h) = -10*b(h) - 11*t(h). What is s(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 5*x + 25 = 4*k, -k = 4*x - 13. Suppose -5*z + k*p - 1 = -6, 5*z - 14 = 2*p. Solve 2*f = -0*f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 4*g + 13 = 4*n, 5 = 2*n + g. Which is the fourth smallest value? (a) -0.3 (b) n (c) 0.1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1782) + 2*sqrt(1782))\/(sqrt(384)\/sqrt(12)).\nAnswer: 27*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:55 PM and 1:23 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j**2. Let g(l) be the first derivative of -19*l + 4*l**2 + 19*l - 6 - 3. What is g(v(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 5*l**2 + 3*l**2 + 2 - 3 - l - 7*l**2. What is c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00039623 rounded to 5 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 99*z**2 + 2*z - 2. Let w be g(3). Let c = w - 3533\/4. Calculate the common denominator of c and (1\/8)\/(3\/(-57)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kfmm when four letters picked without replacement from {k: 3, g: 1, w: 3, f: 1, j: 7, m: 3}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*f - 4*w - 25, 4*f = -2*w + 5*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**2 - 5*r + 3. Let w be z(-4). Let y = w + -3. Suppose -y - 17 = -3*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f - 7*f + 4*f)*(-13*f + 13*f + 3*f**3) + 3*f**4 + 3 - 3 + 15*f**4 - 176*f**2 + 176*f**2 + (2 - 1 + 1)*(f**4 - 3*f + 3*f).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 184148573 - 518746517290\/2817. Let q = 2\/313 - x. What is the common denominator of q and -19\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.251 - 0.353. Let x = m + 4.102. Which is the third biggest value? (a) 8 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 - -24. Solve k + 1 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52886213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000185952 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**2 + 36*n - 88.\nAnswer: 4*(n - 2)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:08 AM and 2:01 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 200, 51, 0, -5, -1, 9, -2 in decreasing order.\nAnswer: 200, 51, 9, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yytw when four letters picked without replacement from yyyyytrwy.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1511828 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/2968182 and 4\/20282577.\nAnswer: 121695462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 133000 - -3321?\nAnswer: 202321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 2*n + 15 = 0. Suppose -6*a + 2*a + 460 = 0. Suppose -n*r + 2*r + a = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 5*l - 870 = -5*t, -2*t + 342 = 5*l. Suppose -2*g = g + 2*o - t, -3*o + 109 = 2*g. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 + (26 - (-3 - -6)). Solve 3*o - 8*o = z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2836.01301 + 2836. What is p rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 + -7. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of 14*q**3\/3 - 20*q + 17. Find the first derivative of g(w) wrt w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1931 - 1921. Solve 4 = -l + 26*d - 28*d, -2*d - z = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, u: 7}. Give prob of picking 1 z and 2 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-1*2) - 5. Let y be 16\/3 - 4\/l. Suppose -q + y = -a - a, 2*q - 12 = a. Calculate the highest common factor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1\/5, 0.153, 198, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 228121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 39*x**5\/2 - 588*x**4 + 1728*x**3 - 1851*x**2 + 1545*x\/2 - 81 = 0.\nAnswer: 2\/13, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2800, -2737, -2632, -2485, -2296, -2065?\n\"Answer: 21*o**2 - 2821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 122*u**2 + 52*u + 1. Is a(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 849 - 28022\/33. Let p = 101\/231 + r. Calculate the common denominator of p and 33\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**2\/(k*k**(-2\/3)*k*k))**(4\/17)\/(k\/k**(-7)*(k*(k*k*k\/(k\/((k\/((k*k\/(k*k*k**(1\/2)\/k*k)*k)\/k))\/k*k))*k)\/k)\/k)**(-5\/8) assuming k is positive.\nAnswer: k**(5801\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 309667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (c - 3*c + 4*c)*(-c**2 + 3 - 3) - 117057*c**3 - 117067*c**3 + 233632*c**3.\nAnswer: -494*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 14*w + 290. Let h be c(-21). Let m be 44\/66*(-30)\/4. Let k = -13 - -5. Sort k, m, h.\nAnswer: k, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -99*j**2 + 3943*j + 9042. What is o(42)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5\/30 + (-34)\/(-12). Let l = -5 - -3. Let j be (8\/3)\/(l\/(-3)). Solve 6*i - i - 15 = -4*a, -j*a - s*i = -9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 9\/15 + 23\/(-5). Let u = -0.15 + 1.15. What is the closest to u in n, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**2 + 64*g + 399. What is s(-9)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-56)\/(-104)*((-38)\/133 - (1 + -2)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together 5 and 27729.\nAnswer: 27734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i - 3. Let a be c(0). Let n be (a\/(-4 + 1))\/1. Let z = -8.18 + 0.18. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence il when two letters picked without replacement from iiililiillil?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7200475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -7*t - 124. Let z be p(-18). Let u = 56 + -56.09. What is the nearest to z in u, -0.2, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*i = 9*i - 6039. What is i rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m. Let s(n) be the third derivative of -19*n**4\/24 + 34*n**2. Calculate s(x(v)).\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -35367.1914 rounded to the nearest one hundred?\nAnswer: -35400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1797 + 1997. What is the remainder when p is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*c - 6*c - 395. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 57604687 to the nearest integer?\nAnswer: 7590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 55 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + x + 20002, -23826 = -5*r - x + 1172. Suppose -6*v + v + r = 0. Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssxs when four letters picked without replacement from {s: 6, x: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(34)\/sqrt(2) - (3 + -1 + sqrt(17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 3*w - 0*w - 12, 5*m = 2*w - 8. Let s(d) = -d + 14. What is s(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-9) - (-96)\/(-189). Suppose 3*y = 5*y + 8. What is the closest to i in 0, y, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kdk when three letters picked without replacement from kkkkqcqdcddqk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 19*7137\/16226*-14?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 953049 divided by 3\nAnswer: 317683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3 and 733?\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 + 56 = 2*h. Suppose -4*o - h = 51. Let t = o - -71. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 182 + -97. Calculate the highest common factor of b and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1079, -864, -647, -428, -207, 16?\n\"Answer: d**2 + 212*d - 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -114 + 127. Let y(c) = -7*c + b*c - c**2 - c**2 - 5*c + 3. What is y(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**3 - 6*a**2 - 7*a + 3. Calculate h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 35 (b) -0.086 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -183 - -313. Suppose -5*g = -10*g + h. Suppose -5*q + 57 = -5*v - 23, 4*v = 2*q - g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 divided by 47371.\nAnswer: 19\/47371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**3 - 7*b**2 - 4*b - 9. Let j be u(-6). Let a be 4\/(-14) + 8\/j. Let z = 10 - 10. Is z bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003538196 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81190 is divided by 4775.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y - 13. Let i be o(-12). What are the prime factors of 3\/(-2)*(-21 - i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 894900 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -8 < -22557\/3127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -7391.61 and -1.8?\nAnswer: 13304.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50\/(-25) - 1\/((-26)\/56)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.83 - -0.07. Let w = 1.9 + z. Let o = w + -2.79908. Round o to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 - 6*f + 31. Let t be v(-7). Suppose 16 = -2*g + 10, -3*g - t = 5*o. Put 3, 5, o in increasing order.\nAnswer: o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.2 and 90.26080932302.\nAnswer: 90.06080932302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -1140 = 124*u + 190 + 530 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-3)\/(t*t**(-2\/3)))\/(t**(-2))**(-3) assuming t is positive.\nAnswer: t**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 831, 817, 791, 747, 679?\n\"Answer: -h**3 - 7*h + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 300679281 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*m = 22*t - 23*t + 295, -5*m + 25 = -4*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 3*sqrt(147) + 0.\nAnswer: 4 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3888126 is divided by 350?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the second derivative of j**5\/4 + 25*j**4\/2 + 345*j**3\/2 + 945*j**2 - 85*j. Solve a(l) = 0 for l.\nAnswer: -21, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -46.9 + 45. Let u = 3025.4 - 3025. Which is the second smallest value? (a) u (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pozjmmojopojooz. What is prob of picking 2 j and 2 z?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, g: 1}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttqqtqqttqqttqttqq. What is prob of picking 1 t and 2 q?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {x: 2, z: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most as big as -333\/5098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and -0.0479296.\nAnswer: 0.00958592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 5 = -2. Let i(s) be the third derivative of -s**6\/12 - s**5\/30 + s**3\/6 - 4*s**2. Give i(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3 and 97662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z + 3*z - 2*z + (-4 - 2 + 4)*(-z - 2*z - 4*z) - z + 4*z - z as r + l*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 3*k**3 + 1 + 28*k + 3 + 2*k + 0*k**3 as r + t*k**2 + p*k**3 + f*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum 123 and 1032110.\nAnswer: 1032233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78570?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 58 divided by 47905\nAnswer: 58\/47905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/(i**2\/i))**(5\/3))**18)**(-4\/7) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1493 is divided by 214?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0 + 0 + 0 + (1 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 1)*(q - 5*q + 3*q) + (4 + 1 + 3)*(6*q - 18*q + 9*q + 2) to the form i*q + t and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(-22 + -3) - (-10)\/75?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -90*l + 184. Let z be s(2). Sort 193, z, 0 in increasing order.\nAnswer: 0, z, 193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 95 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1836473?\nAnswer: 1836473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -44319306 divided by -51118\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, r: 2, u: 2, w: 1, t: 4, x: 3}. Give prob of sequence utuo.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(1573)*3*-6)**2 + 2).\nAnswer: 2548270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in sixty-seven fifths of a hour?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 111 + -57. Let d = j + -50. What is the derivative of 8 - 24*z**d + 8*z**4 + 4 wrt z?\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1045975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 123*f**2 - 1704*f + 5760 = 0.\nAnswer: 240\/41, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 245691, 491384, 737077, 982770, 1228463?\nAnswer: 1474156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8493799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3937028 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -97*u + 168. Let i be m(4). Let x = -220 - i. Factor 2\/3*o**2 + x + 1\/9*o.\nAnswer: o*(6*o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/(-495))\/((-15)\/(-180))*27\/(-3).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2688308 is divided by 224025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 706, 2730, 6108, 10840?\n\"Answer: 677*i**2 - 7*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/17 (b) -5 (c) 119 (d) -39 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(16\/3)*(-40)\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes after 4:25 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(0 + sqrt(320))*-3 + -2 - (sqrt(320)*-4 + 5 + (sqrt(320) - -1*sqrt(320)*5)))**2.\nAnswer: -448*sqrt(5) + 5169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 12.94043kg to grams.\nAnswer: 12940.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -83*t - 3913 - 818 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6367133 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -9*o**2 + 4*o - 2. Let b(w) = -62*w**2 - 16*w + 8. Let m(u) = -b(u) - 4*i(u). Let y(x) be the third derivative of x**5\/30 + x**2. What is y(m(l))?\nAnswer: 19208*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 7, 20820, -3\/4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 301 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 270*a - 126*a = 123*a + 252. What is the highest common factor of 1992 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand 3*s**2 - 6*s**2 - 4*s**2 + (2*s - s + 0*s)*(-2*s + s + 1 + 2*s)*(-4 + 2 - 3).\nAnswer: -12*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 20233121230 + 303?\nAnswer: 20233122133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/15 in 36, -3\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of -y**3\/3 + 2*y + 5. Let c be q(0). Suppose 5*r + 2*x = 91, 10 = r + c*x - 5. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -5*p - 45. Let w be h(-10). Solve -z = -a - 1, -w*a + 13 = -0*z + z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -210011005 (base 6) to base 8\nAnswer: -15706555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -67*g + 477 + 1600. Solve -7*f = -4*h - 6*f + 13, 4*h = -5*f + g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-21)\/14)\/(3\/8). Find the common denominator of (-5)\/(-20) - 54\/y and -111\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2045461 (base 7) in base 15?\nAnswer: 4d221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 157969 is divided by 52649?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 243 and 5184.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -21407*m**3 - 9592*m**2.\nAnswer: -128442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11904 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*f = -45*f + 44100. Suppose -64*a + 73*a = f. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1112423 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -511, -511, -523, -553, -607, -691, -811?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * -0.03459.\nAnswer: -0.010377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, i: 4}. What is prob of sequence idd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 564 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 2722 divide 136986432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1964896 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = -z + 3684 - 3678, -2*h - 15 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 123625648.\nAnswer: 2, 1429, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:55 PM and 8:22 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i + 543 + 426. What are the prime factors of i?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 890 is divided by 545.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 23 = 2*z + z, -q + 2 = 0. Let h be 5 - 9 - z\/1. Solve p - 15 = 2*y, 5*y - h*y = -p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 21969190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 33455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 4007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times -4814\nAnswer: -1444.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (10305\/(-11450))\/(4\/10*6\/(-5))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**3 + 21*k**2 - 21*k + 19. Let y be b(-22). Calculate the remainder when ((-6)\/10)\/(y\/15)*59 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b - 2. Let p be c(4). Let r be ((-8)\/(-84)*-6)\/(12\/(-14)). Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 68, -5, 0, -4614 in decreasing order.\nAnswer: 68, 2, 0, -5, -4614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1112333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*c**4*s - 3*c**3*s**2 - 37*s**2 - 8*s with respect to c.\nAnswer: -56*c**3*s - 9*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 342499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*g - 77 = -429. Calculate the remainder when g is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 41 = -23. Let t be (1 - 144\/(-1)) + -1. What is the greatest common divisor of t and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -160 = -6*x - 46. Solve 15 = 22*t - x*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7406, -14804, -22196, -29582, -36962?\nAnswer: -44336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16 + 16. Let w(k) be the first derivative of k**2\/2 + 11*k + 1. List the prime factors of w(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 4*t**3 - 2*t**2 - t + 3. Let d(v) = 9*v**3 - 5*v**2 - 2*v + 7. Let i(j) = -j**3 + 10*j**2 - 12*j + 13. Let w be i(9). Determine w*g(q) + 6*d(q).\nAnswer: -2*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + -3 - 99\/(-3). Suppose 2*y + 4*b = n, b = -2*y - b + 22. 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: Factor -1\/5*f + 1\/5*f**3 - 2\/5 + 2\/5*f**2.\nAnswer: (f - 1)*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**2 + 53*m + 10. Determine r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -170, -340, -510, -680?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of 2713*m**5\/60 - 11*m**4\/8 + 10*m**3\/3 + 519*m**2. Find the second derivative of y(z) wrt z.\nAnswer: 5426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/2)\/((-2)\/(-6)). Let s = -65.4 + 72.4. What is the second smallest value in s, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2058*l**4 - 2164 wrt l?\nAnswer: -8232*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y**3 - 2*y**3 + y**3)*(y**2 + 0*y**2 - 2*y**2) + 4*y**4 - 4*y**4 - 2*y**5 - 6*y**5 + 10*y**5 + 6*y**5.\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56678195 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Total of -19 and -0.142.\nAnswer: -19.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 21*d**3 + 8*d**2 + 9*d - 31. Let v(m) = -5*m**3 - 2*m**2 - 2*m + 8. Give 2*u(t) + 9*v(t).\nAnswer: -3*t**3 - 2*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 16 - 1 = 0. Suppose s + s = 8. Solve d + 7 = s*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 411276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 101*f**2 + 2524*f - 60. What is w(-25)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*y + 14*y**2 + 14*y**2 - 18*y**2 wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -246 + 48 = 22*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -q - 11*q - 4*q - 10*q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 145209 is divided by 3457.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 938.7881 millennia to centuries.\nAnswer: 9387.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2043, -2\/17, 4, 3, -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**3)**(-34)*(o**(-1\/2))**(-27) assuming o is positive.\nAnswer: o**(-177\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*i, 3*i + 26 = -3*n - 4. Suppose 4*b = -4*u - 40, -4*b - 2*u = 24 + 24. Let t = n - b. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3362 and 820.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 579*w**2 + 585*w**2 - 67*w**3 - 1164*w**2.\nAnswer: -67*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 136 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -259*g - 1038. Let o be p(-4). Are -39\/43 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02419 to four dps.\nAnswer: 0.0242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.6689, 2, 0.1, 1\/4 in descending order.\nAnswer: 2, 1\/4, 0.1, -0.6689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 10311*m + 13. Let f be b(1). Let g = -1404071\/136 + f. Find the common denominator of 19\/2 and g.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-333004)\/(-6) + 0 + 431\/1293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 45, 47, 49, 51?\n\"Answer: 2*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 PM and 12:50 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 2449.9863 months?\nAnswer: 2.04165525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 2*k - 1. Let j be p(6). Let c = j - 9. What is the first derivative of -c*i - 6 - 3*i + 0 wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 2*h = -6. Let p = 3 - h. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 149 + -151. Let i be (-5*12\/(-340))\/(n + 5). Put 0, 3, i in descending order.\nAnswer: 3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*d + 174993673*d**3 - 174993646*d**3 + 2*d**2 - 3*d - 2*d**2.\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**3 - 7*g**2 - 4*g - 26. Let y be n(-7). Let h be y\/15 - 42\/(-63). Sort -5, h, -3 in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70620276 a multiple of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 5*y + 25 = 0, 2*z - 524*y + 525*y = 5. Let v = 118.05 + -121. Let p = v - 0.05. Which is the closest to 1? (a) -0.3 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**2 - 34888*t + 1045751. What is q(30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-18)*(-2 + 2))\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -2*n - 7. Let q be g(-5). Suppose -q*d = -7*d + 24. Suppose 6 = -3*t - d. Round t to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 + 3\/(-6))*176\/(-22). Let m(q) = -q + 2. What is m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 851773.9 micrograms to tonnes.\nAnswer: 0.0000008517739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 243*m**4\/8 + 3915*m**3\/2 + 48387*m**2\/2 + 10464*m + 1152 = 0. Calculate m.\nAnswer: -48, -16, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 96*o - 150*o - 57*o - 99*o - 195*o in the form f + y*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 916*t**2. Let i(o) = 5*o. Calculate i(l(d)).\nAnswer: 4580*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x + 4*b + 24, -5*x - 6 = 5*b + 29. Let g(n) = -4*n**2 - 2*n - 5. Let t = 10 + -15. Let d(i) = 2*i**2 + i + 2. Determine t*d(h) + x*g(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5148 in 82, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-72 - ((-19 - -40) + -67)) + -102?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = 4*r + 4, -23 = x - 6*x + 2*r. Suppose 0 = -2*w + 9 - x. Let 0 - 2\/9*p**w + 0*p - 2\/9*p**4 + 4\/9*p**2 = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 62 - 71. Let a be 7 - (1 - -3) - r. Let s(t) = -t + 12 - 2*t - a. Let l(i) = -3*i**2. Determine l(s(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -25*d**2 + 12*d**2 + 14*d**2 - 17*d as y*d + v*d**2 + r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*n - 6*n**3 + 17*n - 6*n**3)*(0 + 3 - 2) in the form d*n**2 + k*n**3 + p*n + r and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11676209 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 402 and 6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -8\/53, 2\/41, -2, 0.2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 49 - 51. Let w be (4\/16*0)\/m + -3. Sort 2, -1, w, 5 in descending order.\nAnswer: 5, 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -80.27 - -80.17. Sort -4, k, -2\/3, 2681 in decreasing order.\nAnswer: 2681, k, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - 44 = 15*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 388 - 197. Let f = -179 + i. What is the second biggest value in f, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes after 6:41 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -329, -436, -543?\n\"Answer: -107*v - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -3 + 11. Let q be 18 + f\/6*3. Solve 3*m - 5 + q = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 12*z - 146. Let c be u(12). Suppose 4*h - 9 = -0*h + f, -5*h + 24 = 3*f. Let m(k) = -6*k + 3*k**h + 7*k + k**2 + 2*k + 3 + 2*k**2. Give m(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -17738620\nAnswer: -1\/4434655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {l: 1, j: 1, y: 2, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 11, l: 2, p: 2, g: 4}. What is prob of sequence glg?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 2*z - 52. Let w(s) = s**2 - 29*s + 229. Let k be w(13). What is c(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1236 and 159032.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-15)\/6 + (-5 - -5))*-3112. Let x be (-2)\/6 - (5 + n\/(-12)). Suppose -5*l = 83 - x. 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: Solve 273 = -5*v + 268 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -342 - -350. What is the lowest common multiple of 22 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -21302 (base 7) to base 11\nAnswer: -3a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.2 - -1.2. Let q = -9 - -13. Which is the closest to i? (a) 1 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 329 and 5499.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11469 is divided by 843?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.4, -1.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.2 - 2.2. Put j, -0.5, -2\/3 in descending order.\nAnswer: j, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14 + -16. What is the nearest to 0.1 in r, -2\/9, 3\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(((sqrt(20) + 5)**2 - sqrt(5)) + 2).\nAnswer: -94 - 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, c: 7, k: 3, u: 6}. What is prob of sequence kc?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the third derivative of 5*p**9\/84 - 29*p**5\/30 + p**2 + 14. What is the third derivative of g(u) wrt u?\nAnswer: 3600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 17, 62, 127, 206, 293, 382?\n\"Answer: -u**3 + 16*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1073 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: Expand (4 - 4*x + x - 2)*(-5 - 4 - 2).\nAnswer: 33*x - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/21*(-7)\/(-3). Let o be 70\/(-60)*(-90)\/(-140). Which is the third biggest value? (a) -1\/3 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 131 - 4?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 155 + -348. Let u = 3107704\/17 + -182999. Let s = u - i. What is the closest to -2\/5 in -4, -0.03, s?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*q**2 - 13*q**2 + 33*q**2 - 4*q**3 - 22*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 6*x**2 + 55*x - 447. Does 4 divide a(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -7141431809 - 0\nAnswer: -7141431809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/68412293 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 + 0. Solve -y - t*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 144584207, 144584212, 144584217, 144584222?\n\"Answer: 5*g + 144584202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**3 - 10*r**2 - 3*r - 4. Let p be j(-13). Let s be 10\/65 + p\/26. Suppose w + s - 68 = -5*a, -29 = -3*a - w. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*u - 104 = 84*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 10 + -8 - (26 + (-37 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-m**2 - 3 + 3)*(3 - 3 - m) - 13256 + 13256 + 69*m**3 to the form f*m**3 + l*m + u*m**2 + o and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -414 divided by -3340\nAnswer: 207\/1670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (0 - -9 - 18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -39 - -80. Let x = y - 40. What is the nearest to 9 in -2, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 22*w**3 - w**2 + w - 1. Let n be f(1). Calculate the greatest common factor of n and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 462252 times 1.781?\nAnswer: 823270.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - 7. Sort -1, 4, o in increasing order.\nAnswer: o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-38)\/(-1*(-4)\/8). Let i = -30 - x. Let a = -50 + i. Let b(u) = u**3 + 3*u**2 - 3*u. Determine b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5371754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 138 and 1299.\nAnswer: 59754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3034354.\nAnswer: 2, 97, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from goog. What is prob of sequence gog?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -3*c. Let h(f) be the second derivative of 0*f**2 + 0 + 34*f + 1\/3*f**3. Determine k(h(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, 2, 4, 6, 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**3 - 6*v**2 - 4*v + 14. Let h(y) = -y**3 - 14*y**2 - 9*y + 32. Give 2*h(k) - 5*z(k).\nAnswer: 3*k**3 + 2*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1285594 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 - 10*w)*(24 + 12 - 2).\nAnswer: -340*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 4*w - 20. Let t(f) = f. Let p(s) = -8*t(s) + u(s). Let m be p(-17). Which is smaller: 49 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of -i**5\/60 - 3*i**4\/8 - i**3 + 7*i**2. Let b be t(-7). Calculate the greatest common factor of b and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -781, -784, -789, -796, -805, -816?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/8 and -63\/212766472?\nAnswer: 212766472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -189*m + 3. Let c(z) = -13*z**2. What is n(c(o))?\nAnswer: 2457*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4034584 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.21 - -2.01. Let p = 0.1 - -4.9. What is the nearest to f in 1\/5, p, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4734, -5026, -5318, -5610, -5902?\nAnswer: -6194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1159)\/(-11590))\/(1*2\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*j**3 + j**3 - 4*j**3 + (-j + j**3 + j)*(-7 + 3 + 2) - 1 + 1 + 2*j**3 + (-3 + 3 + j**2)*(2*j + 4*j - 8*j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3196 is divided by 397.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (550464*t**2 + 82*t - 11*t**3 - 550464*t**2)*(3 - 1 - 4).\nAnswer: 22*t**3 - 164*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = a - 16. Let s = 73 + -74. Sort a, 5, s in decreasing order.\nAnswer: 5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 2*z - 6. Let o be (-188)\/(-12) + z\/2. Suppose 1\/3*s**5 - 8\/3*s**4 + 25\/3*s**3 + 28\/3*s - o*s**2 - 8\/3 = 0. Calculate s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of l**6\/120 - l**5\/10 + l**3\/3 - l**2. Let d = 45 - 39. Let f be g(d). Solve -5*v + 6 = -f*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -374670, 8, 0 in ascending order.\nAnswer: -374670, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1285078 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -34 + 23*b + 34 + (0 + 5 - 4)*(962 + 23*b - 962).\nAnswer: 46*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -3*g**3 - 2*g**2 + 30*g + 65. What is the least common multiple of 160 and u(-5)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 2*n + 2 - 3 = 0, -f + 2 = -n. List the prime factors of (-64 - -57) + 400*f.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 + 7. Suppose -6*s = s + s. Put s, h, 5 in descending order.\nAnswer: 5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -34502\/3233 greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.4 and -17903305.\nAnswer: -17903305.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -251447 divided by -7.\nAnswer: 35921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (6\/(-9) + 1)*12. Let s be 1*7 - i\/(-4)*-3. Suppose 0 = 5*c + s*c + 63. Let h(k) = -k**3 - 7*k**2 - k + 2. What is h(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 240 and 7310.\nAnswer: 175440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -602, 357, 1314, 2269?\nAnswer: 3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.2 + 0. Let h = -23.9 + 24. Let j = 1.9 + -5.9. Which is the nearest to h? (a) j (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1032353000 to the nearest one million.\nAnswer: 1032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 26289 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90*m = -31*m + 20*m - 2765. Suppose 0 = 2*l - 5*v - 149, 5*v - 48 - 265 = -4*l. Calculate the lowest common multiple of l and m.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -365212, -365672, -366440, -367516, -368900, -370592, -372592?\n\"Answer: -154*o**2 + 2*o - 365060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -120904 (base 10) to base 13.\nAnswer: -43054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/(b**8*b))\/((b**(-3\/2)*b)\/b))\/(b\/((b**1\/b*b)\/b))**(-1) assuming b is positive.\nAnswer: b**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 149149*i + 231 = 149106*i - 113 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -12*c**3 + c**2 - 3*c + 2. Let x be u(1). What are the prime factors of ((-580)\/(-6))\/((-8)\/x)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4108302 and 20394?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 - 0. Let t be (2 + -3)\/(x\/12). Suppose -6 - 3 = -t*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-10)*1090\/(-981)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*-1*(sqrt(72) + sqrt(72) + -1*sqrt(72) + sqrt(72)) + 4 + sqrt(72) + (sqrt(72) - -3*(1 + sqrt(72))))*4)**2*-2*-5.\nAnswer: -94080*sqrt(2) + 572320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 3:51 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of 3*i**5\/5 + 2*i**4\/3 + i**3\/2 - 12*i**2 - 83*i - 1. Find the second derivative of a(x) wrt x.\nAnswer: 72*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that t**4 - 31864*t**3 - 127473*t**2 + 31864*t + 127472 = 0.\nAnswer: -4, -1, 1, 31868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 3536, 7072, 10620, 14186, 17776, 21396, 25052?\n\"Answer: v**3 + 3529*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**4 - 170*n**3 - 5531*n**2 + 11750*n.\nAnswer: -n*(n - 2)*(n + 47)*(n + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/83, -2, -1, -0.2, -0.1, 2 in decreasing order.\nAnswer: 2, -2\/83, -0.1, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -1299*q. Let b(v) = -1494*v - 3. Calculate b(x(s)).\nAnswer: 1940706*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*g = 4*z - 84*g - 11, 4*g + 24 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 240.5 or -4\/5?\nAnswer: 240.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-5 + 0)) + 2 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 5*w = 3, 6 = -0*w - 2*w. Suppose 0 = -q*d - 2*d + 8. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a + b = 2, 2*b - b - 29460 + 29464 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-2 + -1 - -8) + -6 + 11 + 6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -926586, -1853238, -2779902, -3706584, -4633290, -5560026, -6486798, -7413612?\nAnswer: -8340474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 210 = 2*f - 4*b, -4*f + 2*b - 3*b + 420 = 0. Let p be (-3)\/(-2)*(-7)\/(f\/(-650)). Let r = p - -22. What are the prime factors of r?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -657 by 89.\nAnswer: -657\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vcpts. What is prob of sequence cpts?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.7*-3.989.\nAnswer: 2.7923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-56)\/26 - 2\/(-13). Let z(s) = -2*s**3 - 3*s**2 - 3*s - 3. Let n be z(v). Solve 4*t + 3*y = -n + 1, -2 = 4*t + y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10*q**2 + 6*q**2 + 3*q**4 + 7*q**2 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 242\/(-14) - 14\/(-49). Let o = r + 20. Let d(j) = -j**2 - 3*j + 2. Calculate d(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6000 divided by -400?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 - 2 = -2*g. Suppose -4*l = -5*d + 14 - 0, 0 = 2*d - 4*l - 8. Suppose 0*v - 44 = -d*v. Calculate the least common multiple of v and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51788959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(18\/(-6))*(-5)\/(-10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -5*d**3 - 3*d + 14. Let k(g) = 11*g**3 + 6*g - 29. Let p(w) = 6*k(w) + 13*q(w). List the prime factors of p(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1*((-2)\/3*1383\/(-92) + (-14060)\/1406)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n\/(n**20*n)))**(4\/9))**(-36) assuming n is positive.\nAnswer: n**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3194 and 38977979?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 68448 less than 68448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes after 7:49 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + c10671c?\nAnswer: c106719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -24*r. Let s(h) = -116*h**2 + 4. Let p(i) = -3140*i**2 + 110. Let n(w) = 2*p(w) - 55*s(w). Calculate z(n(l)).\nAnswer: -2400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3930 - 1368 = 21*d. Calculate the remainder when d is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 4, w: 3, a: 3, r: 2, q: 1, i: 2}. What is prob of picking 2 i and 1 r?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 113047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2 + 1)*((-2 - 4 + 4)*(-5 + 106 - 47) + 1 - 4 + 4)*(-4*q - 2*q + 3*q + (0 - 2 + 1)*(0*q - 1 - 1 + q)) to z*q + d and give z.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 - -37. Suppose -5*r + z - 11 = 0. Suppose -2*q + 0*q - r = 5*s, 9 = -3*q. Solve s = 5*p - 5*i + 30, -p - 4*p + 3*i - 26 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*f - 3*f - 148290 = -506935. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n. Let k be h(3). Solve 3 = -f - 2*f, -l + 8 = -k*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -68\/9 and -85\/12636?\nAnswer: 12636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the first derivative of -2*l**3\/3 - 4. Let j(p) be the first derivative of p**2\/2 - 1. Determine h(j(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - -6 - 2 - (-15 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from hhhwfihwwwhihh.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 + 3*u**2 - 2*u + 6. Let b be n(3). Suppose -11*d + b*d = -99. Find the first derivative of -o**2 + 1 - d - 12 + 2 wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.255, -3, -1\/3 in ascending order.\nAnswer: -3, -1\/3, -0.255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 40.49 times 5?\nAnswer: 202.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(65) - sqrt(65)*2) - -1*(sqrt(65)*2 + sqrt(65)))\/(sqrt(20)\/(sqrt(196)*2)).\nAnswer: -42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.6 + 1.6. Let u = 0.2 - 1.2. Which is the nearest to 1? (a) z (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 114 = -35*i - 61. Which is the second smallest value? (a) -2.3 (b) -6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 28*y - 922. Determine g(32).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -327, -646, -991, -1374, -1807, -2302, -2871?\nAnswer: -3526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 2. Let x be (-1 + z)*6\/(-2). Suppose -3*k + 33 - x = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -140 divided by 156?\nAnswer: -35\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 + 5*f**2 - 2*f - 6. Let r be k(-5). Suppose -3*c = r*x - 5, -3*c - 13 = -x - 38. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 33540103 (base 7) to base 4.\nAnswer: 23020032103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7869, -7873, -7877, -7881, -7885, -7889?\nAnswer: -7893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.1799 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**3 + 0*h**3 + h**3 - h**3 + 0*h**3 + 4*h**3 + (7*h - 3*h**3 - 7*h)*(-7 + 2 + 4))*(h + 4 - 4)*(2*h - 3*h + 2*h).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - -28 - 30) + 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be (15 + -3)*(-70)\/(-40). Solve n*v = 26*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-six fifths of a tonne in kilograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(128) + 2 + (0 + sqrt(128))*-5 - (sqrt(128) + 5 + sqrt(128)*3 - -4*(sqrt(128) - (sqrt(128) + -1*sqrt(128) + sqrt(128)))))**2.\nAnswer: 384*sqrt(2) + 8201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 53*n + 2. Let v(a) = 42*a + 3. Let j(s) = -4*o(s) + 5*v(s). Let x be (-2)\/(-5) + (-23)\/(-5). Give j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(133)*-1)\/sqrt(7) - (-2*sqrt(190) - sqrt(190))\/sqrt(10))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -5 from 45311001719.\nAnswer: 45311001724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 AM and 12:18 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 - 10*s**2 + 13*s - 8. Give y(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (5\/25)\/((-4)\/25)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -648*u - 4*u**3 - 126 - 1095 + u**3 - 428 wrt u.\nAnswer: -9*u**2 - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*m = -6*m + 9*m - 30, 0*m + 4*m + 1131 = -268*f + 35 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are -7\/274 and -1.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 62? (a) 2\/5 (b) -2 (c) 57\/5 (d) 2\/7 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/5? (a) -0.0405 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1460)\/(-121472)*(-52)\/(-40).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -3392923 and -9.2151474.\nAnswer: -3392932.2151474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -30*y - 186. Determine s(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1987.7 - 1987.77613. What is r rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 11284 - 14721?\nAnswer: -3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.0388 + 0.0388. Which is the closest to -0.2? (a) 0.5 (b) 6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l + 15*l + 57*l.\nAnswer: 68*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**6*a\/a**(2\/7))**(1\/2) assuming a is positive.\nAnswer: a**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 11101110010100000011 (base 2) in base 7?\nAnswer: 11203602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:44 PM and 6:44 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 45478142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -131597687\nAnswer: -2\/131597687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 48376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-7 - -2)*(-6 + 1). Let z(a) = -a + 0*a - f + 15. Let n(g) = g**2 + 4*g - 6. Let w be n(-4). Determine z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 19\/8 - 5\/2. Which is the nearest to 0? (a) p (b) -2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -196*w**3 - 776*w**2 - 556*w + 24.\nAnswer: -4*(w + 1)*(w + 3)*(49*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lagacggagclalcgcg. What is prob of picking 1 a and 3 l?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9*-0.9.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -391*f + 53. Calculate d(1).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 916 from -8.\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/(-8)*(-256)\/(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 107235712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8714554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - (-16 + (1 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5372584847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 3*y**2 - 329*y + 393. Let s be q(109). Solve 55*k = 20*k + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -718 by -1.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 2*i = 1292, -22*i + 24*i = -4. What is the highest common divisor of 56 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:47 PM and 2:29 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (246\/41)\/(4\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 32243, 32241, 32239, 32237, 32235, 32233?\nAnswer: 32231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 232983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1750, -3453, -5164, -6889, -8634?\nAnswer: -10405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 79 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1110*s**3*v + 872*s**3 with respect to v.\nAnswer: 1110*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 4*v**3 - v + 2. What is p(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Are -565 and 5\/47312 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (258 - 1481 + 643 - 3 - 1 + 2 + (-2 - 2 + 3)*(1 - 1 + 2) - 1 + 2 - 2)*(8*n + 5*n - 33*n).\nAnswer: 11700*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3*((-10)\/(-15) + 1 - 3). Suppose -40 = -5*b + 50. What is the smallest common multiple of 608\/56*2 - m\/14 and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 6*j**3 - 7*j**2 + 8*j + 2. What is the thousands digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-10)\/((o*o**(-5)*o)\/o)*(o\/((o**(4\/9)*o)\/o))\/(o*o**(-4\/7)) assuming o is positive.\nAnswer: o**(-370\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 24 - 9. Find the second derivative of -2 + w - 13 + 2*a**5 + 29*a wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*d**4 + 228*d - d**2 + 2*d**2 - 228*d + 3 + d**3 + 6 to the form b*d**2 + k*d**3 + l + c*d + x*d**4 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 326227752 a multiple of 3384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*v + 5 + 43. Let k(c) = -c**3 + 4*c**2 + 6*c - 4. Is k(v) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 49930060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8)\/70*((-847)\/110 + 7). Let w = 0.051 - 5.051. Which is the second smallest value? (a) 5 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*j**5*o + 3*j**3*o**2 - j**2*o + 3*o**2 - 12*o wrt j.\nAnswer: 360*j**2*o + 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -42637415, -42637423, -42637431, -42637439?\nAnswer: -42637447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-6 + 1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 6\/19 (b) 0.5 (c) 7\/6 (d) 0.1 (e) 143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 370761437 rounded to the nearest 10000?\nAnswer: 370760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from {d: 1, e: 3, s: 1, f: 1, x: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 30*r**2 - 2*r + 8. Let y be j(-2). Suppose -10*c + y = 22. Sort c, -2, 12 in ascending order.\nAnswer: -2, c, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -75 + 54. Let d = r + 17.7. What is d rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 1:55 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -27 + 177?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 15950 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 3*k - 5. Let n be (147\/(-6))\/(-7)*(-2)\/(-1). Determine d(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*i = -18*i - 6. Let d = i + -63. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 13.471*1\nAnswer: 13.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**2 + 20*t + 159. Calculate the remainder when 357 is divided by u(23).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**2 - 44*y + 2. Let b(x) = 2*x**2 - 66*x + 3. Let l(n) = -2*b(n) + 3*t(n). Let k(m) = 164*m. Calculate k(l(p)).\nAnswer: -164*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -5\/11 (b) 3\/5 (c) -2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -28884 - -28885. Which is bigger: d or 135\/266?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -268, -1539, -4524, -9931, -18468, -30843, -47764?\n\"Answer: -118*d**3 - 149*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 + 3*o + 6. Let n be b(5). Let r = 0 - n. Let w(y) = -y + 4. Let a be w(r). Solve v + 6 = 4*s, -s + 0*v + 5*v - 8 = a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/5590 and -67\/5460?\nAnswer: 234780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 11 = g, -129*x + 133*x = -4*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -144552 - -1?\nAnswer: -144551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-4) + (-1)\/4. Let l = 4 - 1. Which is the closest to 2\/9? (a) l (b) i (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 0*p + 5*p + 35 = 0, -2 = 4*b + 2*p. Suppose -2*t + 14 = b. Let w be (-6)\/(-18)*t\/2. Calculate the highest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, -3, -232.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -81, 1\/13, 0.243, -6 in decreasing order.\nAnswer: 0.243, 1\/13, -4, -6, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 3197 + 3458. Let k = b + 2257. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjjjjqjjjjjjqjjj. Give prob of picking 1 j and 1 q.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -5*d**3 + 2*d**2. Let a(j) = 9*j**3 - 3*j**2 + 1. Calculate -3*a(b) - 5*v(b).\nAnswer: -2*b**3 - b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3240650878.\nAnswer: 2, 29, 109, 173, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -11*k**3 - 244*k**2 - 4073*k - 21684. Let s(a) = 120*a**3 + 2685*a**2 + 44805*a + 238520. Let p(v) = 6*s(v) + 65*w(v). Find z, given that p(z) = 0.\nAnswer: -19, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1332 and 116418132?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 217*t + 3844. Give c(-18).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**5 + 7*g**4 + 7*g**2 - 3*g. Let i(y) = y**5 + 3*y**4 + 3*y**2 - 2*y. Let c(j) = -7*i(j) + 3*w(j). Find the second derivative of c(z) wrt z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 - (2 - -1) - (0 + -3). Let s(l) = 6*l - 10. Let n(p) = -13*p + 19. Let m(o) = q*n(o) + 5*s(o). List the prime factors of m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2233*q = -1940*q + 3516 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.6335634 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 143*m. Let c(h) = -66*h + 1945. Determine y(c(b)).\nAnswer: -9438*b + 278135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 99 + 261. Let q(m) = -m**2 + 14*m + 3. Let y be q(9). Calculate the greatest common factor of g and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1743 + 864 = 63*m - 543 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*y - 3*u, -4*y + u + 3*u = -16. Suppose q - 9 = -y. Let t(g) = -5*g**2 - 5*g + 4*g**q + 322 - 321. Calculate t(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-3)*(-24 + 3). Suppose 3 = 5*f - u. Let q be 66\/135 - f\/(-5). Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -267*l - 4031 = -2943 + 5320 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -k**6 - 12*k**4 + 124*k**3 - 5*k**2 - 2846*k wrt k.\nAnswer: -120*k**3 - 288*k + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13 + -3. Let c = l - -13. Sort c, 3, -2\/7.\nAnswer: c, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 43 + -9. Let g = z - 14. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -149, -183, -221, -263, -309?\n\"Answer: -2*l**2 - 28*l - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 679*f**4 + 1304*f**4 + 816*f**4 + (-2*f**3 + 0 + 0)*(-3 + 3 - f) - 3*f**4 + f**4 + f**4.\nAnswer: 2800*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -s - 24, 5*a + 18 + 14 = -3*s. Let l(t) = 3 - 11*t - 4 + 4 - 3*t. Calculate the remainder when l(s) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**3 + 5. What is the units digit of k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -14*y**3 - 8*y**2 + 6*y + 11. Let i(j) = 5*j**3 + 3*j**2 - 2*j - 4. Give 11*i(r) + 4*v(r).\nAnswer: -r**3 + r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -451*g + 36. Let n be p(1). Let z be 2 - (n\/(-35) + -7). Which is the second smallest value? (a) z (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + -3)*(-37)\/(-259).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 2 + -4 + 4 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 9154.9 rounded to the nearest ten?\nAnswer: 9150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -86*a**2 + 56*a - 12. What is p(4)?\nAnswer: -1164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (37 + -40)*(-4)\/3. Suppose 1498 = 3*m - m + 5*q, 0 = t*m + 2*q - 2996. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 6*((2*sqrt(275) + 3 + sqrt(275) - (sqrt(275) + 1 + sqrt(275))*5)**2 + (-3 + -1 + sqrt(275))*4) + -3.\nAnswer: 960*sqrt(11) + 80779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 616243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 498354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -4*y. Let a(q) = 25*q. What is a(j(f))?\nAnswer: -100*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {m: 2, d: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3838692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16308\/11 - 1479. Let x be (-8 + 9728\/1236)*6\/(-4). Let n = 1385\/824 + x. What is the common denominator of n and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r\/(r**34\/r))\/(r\/r**34))**(-5))**(3\/5))**(-19\/2) assuming r is positive.\nAnswer: r**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from jjqjjq.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2496 divided by 4?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -127923145, -255846292, -383769439, -511692586, -639615733?\nAnswer: -767538880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 - 2 - 16\/(-28). What is the smallest value in -0.1, 1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4945 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, 3, -700.5, -3 in decreasing order.\nAnswer: 3, 2\/3, -3, -700.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.4 - 0.5. Let p = 0.1 + z. Let i be ((-2)\/16)\/((-2)\/4). Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-88)\/99*75789\/(-3208).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 3*h - 4 = 0. Let y be (-1 - 9) + (-4 - -10) - -1. Sort h, y, 7 in descending order.\nAnswer: 7, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and -17544846.6.\nAnswer: -17544846.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 4*x - 835*c + 836*c = -156 - 28, 12*x - 412 = -5*c for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111*x = 129*x - 31284. Let w(j) = x*j + 1746*j - 3485*j. Let t(u) = 2*u**2 + 9. Let b(k) = -6*k**2 - 27. Let h(o) = 6*b(o) + 17*t(o). Calculate w(h(s)).\nAnswer: 2*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2 - 1 + 0 + 0*a - a. Let j(y) = -y - 3. Let k be j(-2). Let x(v) = -4*v + 3. Let n = 6 - 4. Give k*x(r) + n*u(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1\/2, 20.8, 131, 4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 3*j + 65. Calculate the lowest common multiple of 3 and m(37).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.1 - -0.9. Let n = 9 + -11. Put n, i, -3 in ascending order.\nAnswer: -3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8449 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g + 6. Let m be x(3). What is the first derivative of -5*r**4 - m*r**3 + 11*r**4 + 3*r**3 + 20 wrt r?\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**4 - q**4 + 2*q**4 + (-2*q**4 + 3*q**4 + 2*q**4)*(4 - 2 - 3) + 9 - q**4 - 9 + (-3 + 4 - 2)*(-2*q**4 - 1 + 1) + 6*q - 6*q + 2*q**4.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 206249289 to the power of 1\/2, to the nearest integer?\nAnswer: 14361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 513.7 - 514. Which is the third smallest value? (a) -0.1 (b) -9\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -4*i - 19. Let d be k(0). Let n = d - -21. Suppose -n*y + q + 44 + 53 = 0, y + 2*q = 36. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -3666 + 2*c**2 - 143*c + 2*c**2 - 196*c + 4332 - c**2 = 0.\nAnswer: 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 4 - 19. Suppose 0 = 4*h - n - 17. Solve 3*r + 2*v = v + h, -3*r = -2*v + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 203782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**2 + 7*a + 11. Let b be f(8). Suppose 91*s**2 + 11211 + 104*s**2 + 2504*s - 226 + 5*s**b + 31*s = 0. What is s?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8141 divided by -7.\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -32129*i**2 + 356*i. Let v(x) = -270*x**2 + 3*x. Determine -3*c(l) + 356*v(l).\nAnswer: 267*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 586663237 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000035667048 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - -25. Let v = j - 17. Solve -5*p - 8 = 2*b + 15, v*b + 8 = -2*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18652 is divided by 212.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, m: 2, e: 5}. What is prob of sequence eeev?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 6. Let f = 14 - 14.42. Let q = 0.12 + f. Which is the nearest to 2? (a) l (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -4*m - 17. Suppose 0 = -2*c + 4 + 2. Let i(o) = o**2 - 7*o + 7. Let k be i(c). Let t be s(k). Solve -r + t = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-88)\/(-3) - 4\/12. Let f = -12 + o. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 w when three letters picked without replacement from {z: 1, i: 1, n: 1, w: 5, a: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/5? (a) 0.2 (b) -0.5 (c) -39792\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -6*j + 11. Let l = 0 - 9. Let d be k(l). Suppose 455 = 6*r + d. Calculate the remainder when r is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 2670761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -52156, -208683, -469562, -834793, -1304376, -1878311, -2556598?\n\"Answer: -52176*a**2 + a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2*((-10)\/(-55))\/((-560)\/47740)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 times -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35724616?\nAnswer: 2, 17, 262681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 612\/(-476)*(-14)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3497472 to the power of 1\/2, to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from {i: 1, g: 4, x: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -13*q - 7. Let a(p) = 87*p**2. Give t(a(h)).\nAnswer: -1131*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the second derivative of 29*u + 0 - 2*u**2 - 11\/6*u**3. Calculate the least common multiple of 27 and i(-2).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -453127 (base 11) to base 9\nAnswer: -1318704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 208301468 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 c(u) = -17*u - 32. Let f be c(20). Let h be (f\/10)\/((-21)\/70). Suppose 2*y = -18 + h. What are the prime factors of y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 AM and 1:32 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/847 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 5, 92, 423574, -4 in decreasing order.\nAnswer: 423574, 92, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 767.97 - 765. Let d = 2.47 - q. What is the closest to -2\/7 in 9, 3, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*v\/(v\/(v*v*v\/v**(-11))))*v**12)**(-34\/5)*(v*v\/(v\/(v*v**(-1\/5)))*v**(-7))\/(v\/(v\/(v*(v*v*v**1)\/v*v*v))*v*v**(-2\/3)*v*v) assuming v is positive.\nAnswer: v**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4092*l + 52588 - 17728 = 76588 + 97400 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -70119130 to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-154) + (-5085509)\/1136674?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -366*o + 381*o + 4*w - 82, -3*w + 49 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 + 5b33?\nAnswer: 5b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*y**2 + 14*y**3 - 2 + 0 + 2*y**2 + 0*y**2 to i*y**3 + o + a*y + z*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 229 - 221. Calculate the lowest common multiple of m and 423.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -11, -8, -1, -4 in decreasing order.\nAnswer: 3, -1, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -16 + 6 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, x: 4, t: 6, n: 6}. Give prob of sequence nxnt.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1813353060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 4 - (-9 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 - 3 - ((2 - 3) + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10682 is divided by 3555.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100100010 + -111001101101000?\nAnswer: -111010010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 5*z. Let j(p) = 10*p. Let u(y) = -10*a(y) + 4*j(y). Let k(m) be the second derivative of -23*m**4\/12 - 276*m - 1. What is u(k(c))?\nAnswer: 230*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*f + 5*f + 8. Differentiate -3*y**2 - f + 14*y**2 - 12*y**2 wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = n + 1, -5*b = -2*n + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11818 = -16*b - 3210. Suppose -b = -22*d + 3004. What is the highest common factor of d and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w - 12*w + w)*(-2*w - w - w)*(-2*w + w**2 + 2*w).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 6, w: 3, m: 8, h: 2}. Give prob of sequence qmhh.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 41590000 rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 483637110 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 74*w**3 - 50*w**2 - 7*w + 18. Let x(z) = 37*z**3 - 25*z**2 - 3*z + 8. Calculate 4*j(c) - 9*x(c).\nAnswer: -37*c**3 + 25*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 3*f = 76, -2*y - 2*f + 56 = 2*y. Suppose 0 = -2*w - 2*w + y. What is the third derivative of u**4 + 3*u**w - 5*u**2 - u**2 wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3925 + 1060. What are the prime factors of 2*c\/(-6)*16\/40?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from {c: 9, t: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 1432*l + 1433*l - 2869*l + 9 as z*l + c and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 80\/(-128)*(-24)\/10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -7*d**2 + 162*d + 58. Let s be t(23). Suppose 5*f = -2*j - 3*j + 55, -2*j + 4*f = -10. What is the greatest common factor of j and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -830695*u - 829514.\nAnswer: -830695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 106*v - 70087 + 69027 = 0. Let m = 12 - 2. Calculate the greatest common divisor of m and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence is when two letters picked without replacement from {l: 1, m: 2, i: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r = -611*g + 615*g + 6 + 4, 15 = -r - 11*r - g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2927 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of -2417*m**6\/6 - 137*m**2\/2 - 786. What is the second derivative of t(f) wrt f?\nAnswer: -48340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**2 - 100*j + 398. Calculate z(45).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-15 - -1 - ((-13 - -9) + -23)) + (-3 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25589 is divided by 8519.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7661*y + 7646*y + 149475. What are the prime factors of y?\nAnswer: 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 - 7*z**2 + 5*z + 4. Let s(f) be the second derivative of 5*f**3\/3 - 72*f**2 + 107*f. Let k be s(15). Give u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 3*j - 154 - 8 = 0, 305 = 5*l + 2*j. Suppose -2*v = -3*c + l, 0*v - 11 = -c + 5*v. 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: How many kilograms are there in fifty-one quarters of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2129, 2129, 2121, 2099, 2057, 1989, 1889?\n\"Answer: -p**3 + 2*p**2 + p + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 721854 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-4) + (-34)\/(-4). Let c(o) = 5*o**2 + 5*o - 10. Let h be c(r). Is ((-1)\/(-2))\/(5\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 4*j - 112 = -3*s, 5*s - 5*j = 180. Suppose t - 2*i = -i + 14, 0 = 4*t - i - 56. Calculate the remainder when s is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1643 - 1647. Which is the nearest to -1\/19? (a) 0.5 (b) p (c) -0.2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-2\/67)\/(c**(2\/45)*c) assuming c is positive.\nAnswer: c**(-3239\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -306 * 2.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-1)\/2*0)\/(-3). Calculate the least common multiple of 10 and 2 + d + -2 + 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(637) + -2 + 6*(sqrt(13) + sqrt(208)))**2.\nAnswer: -148*sqrt(13) + 17801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {b: 1, d: 3, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -826230 or -51226299\/62?\nAnswer: -826230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -24 - -72. What is the remainder when f is divided by (-1)\/3 + (-152)\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -2*f**2 - 9*f**2 - 7*f + f**3 - 21 - 3*f**2 + 7*f**2. Suppose -40 = -4*z - 0*z. Let n be u(z). Calculate the greatest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2840 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 147*m**2 + m - 1. Is t(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.8 + 373986\nAnswer: 373985.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 2 = 3*p, p + 5 = 3*p + d. Suppose -5*i + 20 = -p*g - i, -g - 15 = -3*i. Let b be g + 0 + 1 - -2. Solve 6*o = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-1)*n)\/(n\/(n*n**(-1)*n)*n*n))\/(n**(-6)*(n\/(n**(-6)\/n))\/n)*((n*n*(n**1\/n)\/n*n)**(9\/10))**(-13) assuming n is positive.\nAnswer: n**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**2\/13 - 174570*v\/13 + 1047492\/13.\nAnswer: -2*(v - 6)*(v + 87291)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (1 + 0 + -12 + (-4 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1f493 (base 16) to base 9\nAnswer: -214705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 196310728725 and 0.\nAnswer: 196310728725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 9 (b) 5 (c) 567939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1374728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the first derivative of -x**2 + 1. Let w(o) = 88412 - 88412 - o. Let z = 3 - -1. Give z*u(s) - 7*w(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 494.0151 meters in micrometers?\nAnswer: 494015100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -8*i - 38. Let q be v(-6). Let d(m) = 6*m - 46. Suppose 4*o = -y + 19 + 4, -2*o + 14 = -2*y. Calculate the lowest common multiple of o and d(q).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 313024221 - -1000?\nAnswer: 313030221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 + -5. Suppose n - 702 = p - 6*p, -x*p + 267 = 5*n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 203982842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1202*y**2 + 4544*y**2 - 1203*y**2 - 2127*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 69\/112 and 111\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 7. Let g = 1 + k. Suppose 4*q + 3*f = -5, 0 = 4*f - 11 - 9. Sort g, 2\/13, q in decreasing order.\nAnswer: 2\/13, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 + (39 - (18 - -11)) + -1 + -56.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -970*q**6 - 2*q**5 - 3*q**4 - 3*q**2 - 6*q + 396. Let i(p) = -p**5 - 3*p - 1. Let m(d) = 2*i(d) - y(d). Find the third derivative of m(x) wrt x.\nAnswer: 116400*x**3 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 290536226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/30)\/((16\/(-10))\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(3\/30)*18*(-31)\/1395\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/1440 and 173\/2640.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 4*o + 20 = 0, 10 = -5*g - 0*o + 2*o. Suppose -5*z + 0*z - 10 = g. Let w(s) = -3*s - 3. What is the smallest common multiple of 3 and w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9313.58 kilograms to tonnes.\nAnswer: 9.31358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 2143 (base 10) to base 6\nAnswer: 13531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be -15*(3 - (-16)\/(-6)). Suppose 0 = -y + 3*y - 40. Calculate the least common multiple of y and (-252)\/(-45) + (-2)\/d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -104*z**3 + 472*z**3 - 3*z**2 - 233*z**3.\nAnswer: 135*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 35 and 264026.\nAnswer: 1320130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 15 - 2*p - 7 + 10 + 9*p. Let w be y(-2). Let g = 3 + -2. Put g, 3\/5, w in decreasing order.\nAnswer: w, g, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 948*a - 299*a = -654*a - 92513 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 + 8*w**2 - 12*w - 1. Let g be x(6). Let h(r) = -3*r + 1 + 6*r - 2*r + 3*r**3. Let z be h(-1). Sort g, -9, z in increasing order.\nAnswer: -9, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -111 divided by 8678\nAnswer: -111\/8678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 103 a factor of 2 + 16996 + -2 + (4\/2 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkkjkjjkkkkkkk. Give prob of picking 2 k.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 52*j**2 + 7*j + 10. Suppose -v - 13 = 5*d, -3*d = 3*v - 9 + 24. List the prime factors of m(d).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-6) + -2)\/(1\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*q = 779 - 194. Suppose 77 - q = 2*m. Let w = 48 + 27. What is the remainder when w is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the third derivative of 1\/3*d**3 - 1\/60*d**5 - d**2 + 7\/24*d**4 + 0*d + 0. Determine a(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1018 - 1016. Let 0 - 6\/5*m - 2\/5*m**g = 0. Calculate m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x - 36*a + 41*a - 33 = -3*x, 3*a - 9 = 9*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**3 - 7*z**2 - 18*z - 1. Determine h(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5357 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 2 = 4*x. Suppose -3*t + 12 = -3*o, 37*o - 34*o + 18 = 4*t. Sort -3, -2, x, o in descending order.\nAnswer: o, x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.368996 years in millennia?\nAnswer: 0.007368996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 21905093 to the power of 1\/2, to the nearest integer?\nAnswer: 4680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -641 - -641.063. Put r, 0, -1\/4 in decreasing order.\nAnswer: r, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-90)\/(-864)*8*(-2668)\/(-115).\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40 + -36. Suppose -88 + u = -c. Let l be c\/(-171) + (-1)\/(-3). Is l greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -25 - -53. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -20 + 7*t + 12 - 327*t**2 - 9 + 18 as g*t**2 + w*t + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2 times 0.008\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1720 - 1731. Suppose 0 = 3*d + 2*w + 35, -4*w - 6 = 10. Sort -0.5, z, d.\nAnswer: z, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 718021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11123829?\nAnswer: 3, 1235981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (l**2 - 3*l**2 + l**2)*(34*l + 2 + 14*l - 62*l + 30*l).\nAnswer: -16*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -5*h**2 - 4. Let u(a) = a**2 - 5*a - 8. Let j(w) = 2*w**2 - 6*w - 9. Let l(t) = 5*j(t) - 6*u(t). Calculate -4*l(k) - 3*z(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4161903 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m**3 + 21*m**3 + 39*m**3.\nAnswer: 64*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of -3*f**5\/20 + 9*f**4\/16 + 5*f**3\/4 - 9*f**2\/8 - 3*f - 13. Suppose o(h) = 0. Calculate h.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.53, 2\/13, 9?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 - 9*s - 7. Determine c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 104 divide 1353589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 49969981 and 692105.\nAnswer: 249849905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 + 15. Suppose 10 = p + 4*p. Suppose p*s - 3*g - 57 = -0*g, u*s - 139 = g. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -3*l - 147, 0 = -2*o + l - 1 - 97. Let n = o - -83. Suppose -n + 5 = -p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1584 and 432.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -2*r + 514, 0 = -3*r - 0*r + 2*v + 778. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + -1 + (-6)\/15*-10. Suppose 4*n + 20 = 0, 4 + 347 = h*g - 5*n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 1060887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/((-1)\/(5 + 2706\/12)). Let t = 463 + o. Solve 0 = 5*r + 4*u - 18 - 13, 3*r + t*u = 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 281221567 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3649 + -3588. Let o = -3 + 6. What is the least common multiple of l and o?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00424546509 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-31 - 374 + 18)*(-175 + 175 + 26*u) + u - u + 2*u - 2 + 2 + u.\nAnswer: -10059*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-3)*((-1232)\/(-128) - 10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f**2 + 72*f + 60. What is d(-35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1376 from -3.145.\nAnswer: -1379.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + 4. Suppose -4*z + 13 = p, z - 13*p - 12 = -15*p. Suppose -14862 = -q*d + z*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 46*l**3 + 7*l**2 + 5*l - 37. What is the hundreds digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-61 - -65) + 2 + (-8 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -49*x + 242. What is k(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-38)\/(-665))\/(2\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29798?\nAnswer: 2, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 157449431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cwaeq. What is prob of sequence qcw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5 - 9942\/99*-9. Let l = 904 - p. Calculate the common denominator of l and -23\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4286 divided by 42810?\nAnswer: -2143\/21405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 5*u - 15 - 4, t + u - 9 = 0. Calculate the remainder when 22 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3a6 + 7439?\nAnswer: 77e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 140462 and 2212.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/3 + -2 - -4. Suppose 4*k - 5 - d = 0. Suppose -5*y = -5*p - 3*y + 48, 2*p + 2*y - 8 = 0. What is the lowest common multiple of k and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -160947735, -160947736, -160947737, -160947738, -160947739?\n\"Answer: -s - 160947734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 7:56 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 41\/25, 14 in increasing order.\nAnswer: -5, 41\/25, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - p - 61 = p, -482*l + p = -476*l - 125 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 22*b + 1. Let n be f(-2). Let u = n + 73. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -243 (base 5) to base 2\nAnswer: -1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1128447, 2255918, 3383391, 4510866, 5638343?\n\"Answer: f**2 + 1127468*f + 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*f + 55 = -8*f. Suppose -6 = -2*o - x, 7*x - f*x - 21 = -o. What is the smallest common multiple of 105 and o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -682*j**2 + 16*j - 95. Let i(a) = 227*a**2 - 6*a + 34. Give -4*h(l) - 11*i(l).\nAnswer: 231*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(102)\/sqrt(6) + sqrt(17) + (-3*(sqrt(17) - sqrt(17)*1) - sqrt(17)) - (-3 + -5 + ((sqrt(17)*-1 - sqrt(17)) + -4 - sqrt(17))))**2.\nAnswer: 48*sqrt(17) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -s**2 - 87*s\/4 + 11\/2 = 0. Calculate s.\nAnswer: -22, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**3 - 1314*m**2 + 3921*m - 2610.\nAnswer: 3*(m - 435)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6\/13 in -3, 56, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 AM and 4:57 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3010 and 45.\nAnswer: 27090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Do 22884 and -416\/55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 131313 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -26 + 7 + 5*l + 3*l**2 + 8 + l**3 + 12 to the form x*l**3 + r*l + f*l**2 + t and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -25 (b) -112 (c) -5872\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -130867.13 to the nearest one thousand.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -19 (base 10) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 13806777582 and 1.\nAnswer: 13806777583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 3, d: 1, i: 1}. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 6 + 7. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 44196170 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2033 - 1158. What is the lowest common multiple of 10 and c?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.07 in -0.3, -73, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 8435\/(-20) + (-18)\/(-24). Let r = -837\/2 - n. Solve 3\/2 + 7\/6*z**2 - 1\/6*z**3 - r*z = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -78*w = -136*w - 5278 for w.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.1 + -1.7. Let y = -0.0357 + 1.5357. Let m = t + y. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -37046, -38269, -39492, -40715?\n\"Answer: -1223*t - 35823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -29 - -8. Let t = c - -39. Calculate the greatest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 420970 by -84194.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**2 + 3*i + 44. Let z be a(-10). Let t = -82 + z. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + j**2)*(2 - 2 - 2*j**3) - j**5 + 0*j**5 + 2*j**5 + 0*j**2 + 0*j**2 - j**5 + (5 + 13 + 6)*(-j**5 + j**5 + j**5).\nAnswer: 22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 3*j**2 + j. Let k be u(-1). Let m(t) = -6*t + 362*t**k - 7 + 2 - 3043*t**2. Let s be m(-5). What is s rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 34 - 14. Let j = -10 + i. Is ((-51)\/(-2))\/(5\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -425*g + 135*g - 143*g - 1132 - 8*g**3 - 572*g - 123*g + 2268*g**2 = 0 for g.\nAnswer: -1\/2, 1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20851530 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 32, 12, 7427 in decreasing order.\nAnswer: 7427, 32, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 21234302 (base 5) to base 12.\nAnswer: 88601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 6 = 2*d, -2*d - 26 = d - g. Let p(i) = -34*i**3 + 4*i**2 + 6*i - 16. Let s be p(d). What is s rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*w = 69*w + 405. Calculate the common denominator of -2\/3 and (24\/30)\/(3*2\/w).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15743313 is divided by 341?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 869939803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 954 + -695. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the third derivative of g**5\/60 + g**4\/12 + 3*g**2. Suppose r(s) = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 - l + 1. Let w(g) = 11*g**2 + 8*g - 1. Let o(s) = -q(s) - w(s). Find the second derivative of o(v) wrt v.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 21 = -1. Let g = x + -5. Suppose -21 = -g*p - p. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1049999*n**2 - 670751*n wrt n.\nAnswer: -2099998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 8 = 76. Let k = -7 + -12. Let h = k - y. What is the third smallest value in -0.5, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 - 5*i + 2. Let t be l(-4). Let a(d) = -d**3 + 6*d**2 - 3*d + 3. Let g be a(t). Let c be 9\/g + (-4)\/10. Do c and -1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 771.1814 litres in millilitres?\nAnswer: 771181.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1790 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of w**6\/120 - 7*w**5\/30 - 5*w**4\/8 + w**3 + 6*w**2 + 5*w. Calculate c(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/21 + 2\/7. Suppose -x - 2*f - 9 = 0, -3*f - 18 = 3*x - r*f. Let q be 14*((-50)\/(-20) + (-2 - 1)). Is q greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 383*l - 5 = 380*l - t + 2*t, -18 = -11*l + 4*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q + 11. Let t be d(9). Let a be 0 + -1 + 5 + (-7)\/t. Find o, given that 1\/2 + 1\/2*o**3 - a*o - 1\/2*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from bbyyybbbybyybbbbbyb.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + -1)*236\/(-2). Let w = 7 + 1. Suppose 6*v = w*v - u. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 884.7 + -886. Let p = -509 - -485. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.042 + -0.063. Let s = m - 16.595. Let u = 17 + s. What is the nearest to 2 in -4, -1\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 + 7*j**2 + 5*j - 2. Let p be q(-6). Suppose 6*i - p = -28. Let m(k) = -11*k + 4. Is 12 a factor of m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 13, -2\/5, -0.90493?\nAnswer: -0.90493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -3454220 (base 8) to base 14.\nAnswer: -1a68b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 80931 is divided by 1226.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/9 - 7112\/(-252). Let g(i) = -i. Let o(q) = q. Determine h*o(d) + 4*g(d).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 3*c - 34 = 0, -2*o + 9 = -5*c - 9. Let p be (-24)\/9*(-1020)\/40. Suppose 0 = -79*g + p*g + 1232. What is the highest common factor of g and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*g**3 + 28*g**3 - 54*g**3 + 19*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (48\/(-30))\/(-6*(-8)\/(-13440)). Calculate the highest common divisor of 1696 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4e46 (base 15) in base 3?\nAnswer: -211221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {d: 2, z: 2, q: 2, v: 3}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * -102496509\nAnswer: -51248254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -27 - -27.4. Let j = -278.93 - -288. Let r = 9 - j. Which is the smallest value? (a) o (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**5 + 0*n**5 + 3*n**5)*(2 + 2 - 10)*(1 - 1 + 1).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 - 47*h - 2. Let u be l(7). Let y be 24 - u*(-2)\/3. Solve 4*g - y + 20 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6043450 divided by 2.\nAnswer: -3021725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(2 + -3 + ((sqrt(14)*-2)\/sqrt(7)*5)**2 + 0).\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/3)\/((-10)\/(-75)). Suppose o - 45 = -39. Let u(t) = -6*t**3 + 2*t**2 - 5. Let i(x) = 7*x**3 - 2*x**2 + 6. Determine a*i(l) + o*u(l).\nAnswer: -l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes after 12:30 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1294845 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 3*z**2 - 2*z - 3. Give g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 299 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 54\/7*l**2 + 1\/7*l**4 - 12\/7*l**3 + 81\/7 - 108\/7*l.\nAnswer: (l - 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*i**4 + 12*i**3 + 0 + 4\/3*i**5 + 0*i - 16\/3*i**2.\nAnswer: 4*i**2*(i - 4)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 182373716633 and -0.5.\nAnswer: 182373716632.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 165370 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3 + 2 + -1 + 1. Suppose 0 = -w*r - 12 - 8. Let b be 64*(2 - (-2383)\/r). What is b rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1461 - 1460.999157. Round g to five dps.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1424 and 47704?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrrkaruu. What is prob of picking 1 a, 1 k, and 2 u?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -10646 + 5324 + 5324 - 212*s as n + g*s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -5. Suppose -2*b + 0 = 4*n - 64, 0 = n - 2*b - 6. Let i(x) = -4*x + 13 + x**2 - n + 4. What is i(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1103 - -3308\/3. Let b = 2 + -6. What is the smallest value in d, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -107\/42 + -44\/21. Calculate the common denominator of -29\/4 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 101102 + -101112.0102. Let v = q + 10. What is v rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 4*y - 2. Determine o(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.0629 - 230.9371. Let d = b + 229.2. What is the closest to d in -4, -5, 0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**2. Let g(s) be the first derivative of s**2 - 29*s - 26. What is g(x(u))?\nAnswer: -4*u**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor t**2\/7 - 285*t\/7 - 138496\/7.\nAnswer: (t - 541)*(t + 256)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 5*a - 4 = 4*a, -5*n - 5*a = 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4291625 is divided by 2744?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**2 + l - 18. What is b(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0028846732 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -102122211002 (base 3) to base 16\nAnswer: -3807e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 39*(-6)\/252*-6 - (-6)\/14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:39 PM and 3:12 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22993 + -22936. What is the biggest value in i, 0, -0.032?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**2*k*k**(1\/5)*k*k**(-2\/13)*k*k**(1\/3))**(-1\/55) assuming k is positive.\nAnswer: k**(-464\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28793?\nAnswer: 28793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 912 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9332294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = 2*h + 2, 2*y + 3*h + 0 - 8 = 0. Is (y - -226) + (-4 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - b = 4. Let s = b - 0. Suppose 0 = -l - t, 0 = -s*l - t - 0*t - 6. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.73 - -17.23. Let u = 18 - c. Let f = u + -1.6. What is the nearest to -1 in 0, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in -3*z**4 + 18249*z**3 - 127641*z**2 + 273447*z - 164052 = 0?\nAnswer: 1, 3, 6076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1 - 10) + 1)*2. Let y = l + 21. What is the tens digit of ((13 - 0) + y)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 12, 2\/3639, 4.8, 0?\nAnswer: 2\/3639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bll when three letters picked without replacement from {b: 3, l: 4, q: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(112) + 5 + sqrt(112) + sqrt(112)*-2 + 3 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -7*b - 1. Let h be m(-3). Suppose 3*g = 6*g, -g - 4 = -4*x. Let l(q) = q**2 + 1. Let d be l(x). Solve -3*y - d*y + h = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -295, -312, -345, -400, -483, -600, -757, -960?\n\"Answer: -y**3 - 2*y**2 - 4*y - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2662652, -2662650, -2662646, -2662640?\nAnswer: -2662632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -494 - -701. Let a = h - 207.089. Round a to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 992 divided by 223430.\nAnswer: 496\/111715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 31 - 33. What is the nearest to -6 in m, 0.1, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 590 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 522*s = 85*s - 93*s - 3180 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 182 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -24 divided by 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 4*v**2 - 34*v + 74. Let n be u(8). Suppose 0 = -n*p + 68*p - 7930. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 204243 - -1?\nAnswer: 204244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 11, s: 9}. What is prob of sequence qssq?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 400213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/3*(18\/(-171) + 6864\/228)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 4*j + 4, -2*j = -2*w - 5*j - 3. Suppose 142*r - 145*r + 75 = w. Solve 3*f + 2*f = r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1484\/159)\/(-28))\/(1\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17 + -14. Let d = -1 + c. What are the prime factors of 4\/(0 - d\/(-17))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32466, -32467, -32468, -32469, -32470, -32471?\nAnswer: -32472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b + 3*b - 4*b)*(-b + 0*b - 2*b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 200 = -2*r + 202 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/1 - (-30)\/9. Suppose 5*b = -3*w + 1 + 8, -4*w = 3*b - 1. Let d = 150.7 - 149.7. What is the nearest to d in b, 2\/13, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1629 + -670. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 137\/58 + 4\/29. Sort -3\/8, 0.2, z in ascending order.\nAnswer: -3\/8, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 17 + 6 + t + 3*t - 6*t**2 + 5*t. Let w(r) = -2*r**2 + 3*r + 8. Let g(p) = -4*v(p) + 11*w(p). What are the prime factors of g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10226 - -29796. Round s to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -564205 - 162?\nAnswer: -564400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -178 or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -2*n + 23, -4402 = 5*n - 4397 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2555349*l - 1694558 wrt l?\nAnswer: -2555349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*z - 4*k = 26, 5*z - 362*k + 364*k + 3 = 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -119 + 172. Let a = 9 + n. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -199 + 2?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1925 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/18 + (-23)\/6. Let y be r\/(-10) - 8264\/(-40). Let h = 319 - y. Does 28 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -4\/3, 1, 7, 335\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 o, and 2 w when four letters picked without replacement from {a: 3, w: 2, o: 1, x: 1, l: 4, j: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 76\/(-1) - (-3)\/(-3). Let w = 15 - x. Determine p so that -7*p**5 + 2*p**5 + 10*p**3 - w*p + 87*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72234587 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 111 or 1442\/13?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22915730 or -2\/3?\nAnswer: -22915730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 100209 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 PM and 12:50 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 21260349 - 37957349. Round j to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 4*d - 2. Let y be a(5). Let p = 49 + -22. Calculate the greatest common divisor of y and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 543 + 1247. Suppose -2*j + d = 3*t + t, 3*j - 2*t - 2701 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**2 - 10*m + 7. Let v be o(9). Which is the nearest to 1? (a) 0.1 (b) v (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 228 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 30132.94 meters to micrometers.\nAnswer: 30132940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 740*j**3 - 7*j**2 + 11*j - 94. What is the tens digit of a(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*w = 11*w - 6. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -797.62 rounded to zero decimal places?\nAnswer: -798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 57049, 60257, 65601, 73081, 82697, 94449, 108337?\n\"Answer: 1068*h**2 + 4*h + 55977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -3*h - d, -3*h + 28 - 6 = -5*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 58 (b) 16281 (c) -0.3 (d) 5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -86, -0.4, -11, -4 in ascending order.\nAnswer: -86, -11, -4, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(-1\/3)\/c))**(-21\/8)*c**(4\/9)\/c*c**3*(c**(-1\/3))**(-3\/43)*(c*c**2)**24 assuming c is positive.\nAnswer: c**(211589\/3096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the first derivative of 12 + 9\/5*t**5 + 0*t**2 - 10*t + 0*t**3 + 0*t**4. Differentiate b(f) wrt f.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 6496*h**2 + 305*h - 1. Let j(g) = -3249*g**2 - 152*g + 1. Let c(f) = -7*j(f) - 4*s(f). What is the second derivative of c(b) wrt b?\nAnswer: -6482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 140\/(-100) - (-2 + 0)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 957554.4 millennia?\nAnswer: 957554400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-5)\/(-10))\/((-8)\/16). Let o be d - ((-208)\/(-36) + -7). Is o less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 41004831 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -578896, -4\/7, -39?\nAnswer: -578896","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/7, -2\/2469, 1, -2?\nAnswer: -2\/2469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -51*u**2 + u + 1. Let o(x) = 106*x - 1591. Let w be o(15). What is r(w)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1552, 3090, 4626, 6160?\n\"Answer: -l**2 + 1541*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -113 - -167. Let i = 21 + f. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -82*b**2 + 3197*b + 61. Let h be r(39). What is the highest common factor of h and 6149?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-1\/9)*z\/((z*(z\/(z\/(z*z*z\/z**13*z)))\/z)\/z)*z*z)\/(z**6*z\/(z**15\/z*z)) assuming z is positive.\nAnswer: z**(197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1686 = 5*h - o, -994 = -18*h + 15*h + 5*o. What is the highest common divisor of 182 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, 4, 1, 0, 1420 in decreasing order.\nAnswer: 1420, 4, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 8094 or 63?\nAnswer: 8094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 8:46 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*c - 15*c**2 + 5*c**2 - 23*c**2 + 55*c**2 - 2*c to j + w*c + m*c**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/7, -519776, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1603 divided by 415\nAnswer: 1603\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 381\/7016 + 27784485\/3508. Let w = l - 7908. What is the common denominator of w and 97\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12.8 - -13.8. Which is greater: -1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*c**2*j*m + 6*c*j - 184*c*m**2 + 32*j*m**2 + 2*j + 6*m**2 wrt c.\nAnswer: 4*c*j*m + 6*j - 184*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*r**2 + 0*r**2 + 6*r**2 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 17, 155, 417, 803, 1313, 1947, 2705?\n\"Answer: 62*c**2 - 48*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -2*n - 8. Let c(z) = -z - 5. Suppose 2*f = 2*h, 3*h = 2*f - 0*f - 5. Let m = 19 + -11. Let g(a) = f*w(a) + m*c(a). Let y(i) = 5*i. What is y(g(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 10, l: 2, f: 3}. What is prob of sequence fll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 g, and 2 j when four letters picked without replacement from {j: 3, c: 3, e: 1, u: 2, v: 1, g: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the third derivative of -p**8\/3360 + 7*p**5\/60 - p**2. Let f(v) be the third derivative of g(v). Let y(j) = j. What is f(y(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12.6353 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 9*d**2 + 6*d + 8. What is the tens digit of k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 - 2*k + 1. Let n be h(2). Let q(m) = -m**2 - 8*m. Let a be q(n). Suppose a*u - 4*u - 36 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 - 3*s - 14. Suppose 10*w = 4*w + 54. Let z be d(w). Let p(a) = a**2 - 2*a - 3. Let j be p(-2). What is the greatest common factor of z and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 48049 = -3*b, -3*b - 7023 - 2594 = o. Let s = o + 17322. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 322576*f - 128323 wrt f?\nAnswer: 322576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21524 is divided by 552?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88786717?\nAnswer: 37, 2399641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 107917948?\nAnswer: 2, 19, 1419973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30.2 + -30. Is i < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1711*c**2*z**4 - 228437*c**2 + 60*c*z**4 - 2*z wrt z?\nAnswer: 20532*c**2*z**2 + 720*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 187649*d + 185574*d - 390664*d to the form t*d + v and give t.\nAnswer: -17441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -z**3 - 102825*z**2 - 67016328*z wrt z?\nAnswer: -6*z - 205650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**2 - 2*x - 63. Let v be i(-7). Which is the closest to 2\/3? (a) -13 (b) -1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**3 - 5*p**2 + 8*p + 7. Let v = 7 + -13. Let l be b(v). Let h be 53\/(-36) - (-165)\/132. Put 4, l, h in increasing order.\nAnswer: l, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7 plus 1142?\nAnswer: 1142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -318, 1, -199 in ascending order.\nAnswer: -318, -199, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(-2) + (-3)\/(-2). Find the third derivative of 2*c**3 - c**3 - c**3 - 3*c**2 - u*c**5 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 405270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(1573) - 3*sqrt(1573)) + (sqrt(1573) - (sqrt(1573) + -1)*-3))**2.\nAnswer: -352*sqrt(13) + 6356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/200 and -11 + 2 - (-29)\/(105705\/31239).\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2.3? (a) -2 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2, 1, 11, -1203 in increasing order.\nAnswer: -1203, -5, -2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 4, l: 9, g: 2, p: 1}. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -32 (base 4) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1439455?\nAnswer: 5, 23, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78140 is divided by 77924?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -360 divided by 18.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 13) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wzb when three letters picked without replacement from bzzbbzbwzbbzzbzb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Round 0.000003068938 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 164 + -140. Suppose 25 + m = 7*n. Let z(o) = 10*o - 4. Let r(k) = 3*k - 1. Determine n*r(c) - 2*z(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2422 - 2399. Is 158 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*r - 4*r - 3*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1227767 is divided by 231.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y**5 - 3*y**5 + 0*y**5)*(-4 + 8 + 0)*(-5 + 0 - 4) + 6*y**5 + 4*y**5 - y**5.\nAnswer: -63*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 3*h + 23, 4*c + 2*h + 2 = 16. Let w(x) = -1 - c*x - x + 3*x + 5*x. Calculate w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 10:23 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the second derivative of -5*v**4\/12 + 130*v**3 - 775*v**2\/2 + 18*v + 71. Determine s, given that x(s) = 0.\nAnswer: 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1213\/1898 + -19\/146. What is the closest to -0.1 in 0.4, u, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r = 5*a - 57, -12*r + 17*r - 4*a = -32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**3 + 6*w**2 - 5*w + 3. Suppose -a - 19 = -4*g, g - 6*g = 5*a - 30. Let c be k(g). Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-531 - 479 + 1118 + 1531*j - 3067*j + 1523*j)*(0*j**3 - j**3 + 0*j**3) to the form k*j + i*j**3 + s + b*j**2 + a*j**4 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -26802848?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 27636, 55281, 82926, 110571, 138216?\n\"Answer: 27645*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*b**3\/3 - 19*b**2\/3 + 14*b\/3 - 1 = 0 for b.\nAnswer: 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1062553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 4*z - 3*x, 16 = 2*z + x. Calculate the remainder when 21 - (33\/(-22))\/(3\/(-8)) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -201377326 rounded to the nearest 10000?\nAnswer: -201380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x + 1. Let u(c) = -2*c - 1. Let k(z) = -18*z + 33. Let i(j) = k(j) + 6*u(j). Let y(n) = i(n) - 5*l(n). Differentiate y(b) with respect to b.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-116)\/1682 + (-17061528)\/(-232) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8308 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -57649*-100\nAnswer: 5764900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -4*q. Let i be p(-1). Suppose 230 = i*s - 3*d + 5*d, -284 = -5*s + d. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1283, 1273, 1259, 1241, 1219, 1193, 1163?\n\"Answer: -2*h**2 - 4*h + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -107, -105, -103?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-7)\/(8 + -2 - 7). Suppose 2*o - 41 = -m. Solve v + 21 = o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 34.89314l?\nAnswer: 34893.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 51.4 times -0.1?\nAnswer: -5.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-10 + 2 + 4 - -9) + (-14 - 3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -5*f**4 + 18*f**2 + 6*f + 6313 wrt f?\nAnswer: -20*f**3 + 36*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 281 - 3*b**3 + 83 - 483 + 103.\nAnswer: -3*b**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-25 - (-27 + 12))*(-74)\/4. Which is the closest to -0.2? (a) 1\/3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1139423*s**2 + 3001268*s wrt s.\nAnswer: 2278846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8)\/(((-50)\/(-10))\/(-20)). What is the highest common factor of 816 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55564*(2 + -4 + 9\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 + 411*q - 23611. What is l(69)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the first derivative of 3473*i**2\/2 - 9920*i - 12908. Differentiate x(n) wrt n.\nAnswer: 3473","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 335185051028*f**2 - 335185051028*f**2 + 30*f**3.\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -4*t**3 - t**2 - 5*t - 2. Suppose -3*m - 6 = -i, 4*i - 3*m - 18 = 7*i. Is 16 a factor of r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -53.5 + 40. Let p = k + 12. What is the smallest value in 0.2, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of j**4\/4 - j**3 - 5. Let u be h(2). Let w be -4 - u - (-1 - -1). Solve l + w - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 867 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 30 = -y. Let z(w) = -3*w - 6 - w + y*w. Suppose -5*x = -4*g + 4, -2*g - 3*x + 1 = -1. Let s(q) = -1. Give g*z(h) - 4*s(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 930682.3 litres to millilitres.\nAnswer: 930682300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes before 8:34 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 3*b**3 - b**2 - 4*b + 3. Calculate the remainder when n(3) is divided by (-1 + 33)*-4*4\/(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/11, -3, -2\/23 in descending order.\nAnswer: -2\/23, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13 + -6. Let d = -134.307 + 0.307. Let c = d + 134.1. What is the second biggest value in m, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1536520 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4*90\/25*90. Let p be c\/(-120)*-5*2*-11. Is 0 + (8 + -3 - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010111101000 - -110011101100101?\nAnswer: 111110101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**2 + q. Let d(k) be the second derivative of k**4\/4 + 4*k**3\/3 - k**2\/2 - 4*k - 93. Determine d(i) - 2*m(i).\nAnswer: i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1080 and 533115?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 0 + -35 + 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-2)\/(-115)*(-18640)\/64 + 3 and 4\/161?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y**3 - 1971*y**2 - 11790*y = 0.\nAnswer: -1965, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**3 - 11*h**2 + 2. Let l be x(11). Solve 4*b + 4*k + 20 = 0, 10 = -l*b - 4*k - 0*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 400*b + 82. Let r be f(6). Let a = r - 1462. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 12:26 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7 divided by -2864?\nAnswer: -7\/2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - -7 - (-9 - (-197946)\/(-9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*f - 41*f - 2718 = 0. Let y = 587 + f. What are the prime factors of y?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.15 - 0.25. Suppose h - 3*x = -7, -5*h + 4*x + 45 = 9*x. Put h, 4, -2.4, f in ascending order.\nAnswer: -2.4, f, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9.2 - -13.2. Which is the third biggest value? (a) l (b) -2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8149 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -43*l + 16. Let p(t) = 15*t - 5. What is -4*i(n) - 11*p(n)?\nAnswer: 7*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 948860 and 39952?\nAnswer: 3795440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-14)\/28)\/(6\/(-3) - -3). Let f be (3 - 13\/4)\/(-1). Which is the nearest to f? (a) i (b) 0 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 + 13*f**2 - 12*f - 2. Give w(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -6*(2 - 1)*-1. Let k be 2\/(-8)*(-24)\/v. Solve 0 = -4*r - k - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (452\/(-8))\/(1*3\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7263 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*c - c + 8772. What are the prime factors of c?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - 5. Suppose -3*k + 3*y = -6*k + 9, -k - 3*y + c = 0. Suppose u - k*j - 14 = -0*u, 0 = -j. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/90)\/2*30\/(-80)*-4\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d + 7. Let w be f(5). Suppose -5*t + 381 + 209 = 0. Suppose t + 22 = 35*z. Solve -w*v + 6 = -z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 751149638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1036*t - 4493 = -27285 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -101121222 (base 3) in base 15?\nAnswer: -2468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4823, 4867, 4897, 4913?\nAnswer: 4915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zrqztrqqqqzsq. Give prob of sequence zz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 13, r: 6}. What is prob of picking 1 w and 1 r?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2463073, -2463072, -2463071, -2463070?\n\"Answer: s - 2463074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 860*n**4 + 341828*n**3 + 4112548*n wrt n.\nAnswer: 10320*n**2 + 2050968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.046 + 113.954. Is q <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 37*y**3 - 661*y**3 - y + y.\nAnswer: -624*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1 + 36 - (33 + (31 + -36 - 11))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 146, 640, 1480, 2678, 4246, 6196, 8540?\nAnswer: 11290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.1116 - 0.1416. Which is greater: a or -48?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*a = -38 + 11. Let i(v) = v**3 + 5*v**2 + 5*v + 2. Let y be i(-4). Let b be ((-20)\/(-90))\/(y\/a). Is b not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, p: 7}. What is prob of picking 2 p?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5746 = -5*x + 519. List the prime factors of x.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 - 252415?\nAnswer: -252420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2\/21, -12.72 in increasing order.\nAnswer: -12.72, -5, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m**4 + 16*m**3\/5 + 28*m**2\/5 - 16*m\/5 + 2\/5 = 0. Calculate m.\nAnswer: -1, 1\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2\/(12\/(-6)))\/(2\/(-13144)). Suppose 11*l - 7*l - p = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -11, -2\/5, -4, 19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 6*y = 10. Find the second derivative of 6*x**2 + x**y + 5*x + 2*x**2 - 3*x wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 74 = -3*k, 7*k - 281 = -4*n + 4*k. Let t = n + -71. List the prime factors of 0 - t - (15 - 74).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27\/9)\/(30\/35)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1015010*z - 1015010*z - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r**(-2\/5)\/r)*r)**(-11\/3)\/(r*r**(-6)\/r*r*r*r*r*r**3*r))**(-1\/3) assuming r is positive.\nAnswer: r**(217\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 8:56 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5384 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7d2 - 3?\nAnswer: 7cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -5*x - 4, -x + p + 4 + 0 = 0. Let z be -2*4*((-132)\/(-32))\/3. Let m = x - z. What is the highest common factor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**1)**15\/(d*d**0*d*((d\/d**5)\/d)\/d) assuming d is positive.\nAnswer: d**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -41*f - 5*f**2 + 4*f**2 - 5 - 34*f + 4*f**3 - 34*f + 116*f. Calculate n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-9)\/6)\/(1\/8). Let f = 17 + l. What is the smallest common multiple of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115218175 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a - 19. Let k be u(-23). Suppose -5*h + 4*y + 1 = 0, 2*h + 4*y + y - 7 = 0. Let c = h - -1. Solve -k - c = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y**5\/3 - 3215*y**4\/3 + 845509*y**3 + 5089139*y**2\/3 - 2536528*y\/3 - 1695308 = 0. What is y?\nAnswer: -2, -1, 1, 1398, 1819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*i**2 - 4*i**2 + 2*i**2)*(3*i - 4*i + 2*i) + 2 + i - 2 + 3*i**3)*(-2 + 3 - 3).\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = y + 53, 8*u = 3*u - 3*y + 93. Let q(v) = v**3 + 3*v**2 - 11*v - 8. What is the smallest common multiple of q(-4) and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14600)\/178 + 2008\/89356?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -440 + 436. Put f, 3, 5 in increasing order.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 1011001011 (base 2) to base 4\nAnswer: 23023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 43704291 at least 43704290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r**(-15)*r*r*r))\/r)\/((r**(-1\/15)\/r)\/r)*(r*r\/(r\/((r*r*r**8)\/r))*r)\/(r\/((r*r*r**(-6)*r*r)\/r*r)) assuming r is positive.\nAnswer: r**(331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 753 or 128213\/170?\nAnswer: 128213\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2122 + -2140 + (3 + 0 - -19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -487, -720, -367, 872, 3297, 7208?\n\"Answer: 50*w**3 - 7*w**2 - 562*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hzp. Give prob of sequence ph.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 216300 and 700?\nAnswer: 216300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 PM and 6:34 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gberbbvvevgv. What is prob of sequence gbg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 219920*r - 5*r**2 - 2 + 2 + 219958*r in the form u*r + q + j*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*s + 37 + 54 = -53 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of 88\/3*y**4 + 21296\/9*y**2 + 1\/135*y**6 + 13552\/27*y**3 + 34\/45*y**5 + 27*y - 3. Let q(k) = 0. Calculate k.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/13 + 46*s\/13 + 120\/13.\nAnswer: 2*(s + 3)*(s + 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 897863 to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 5, j: 3, s: 2}. Give prob of sequence jp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:17 PM and 6:56 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 8*f**3 + 9*f**2 - 25*f + 9. Let x(l) = 2*l**3 + 2*l**2 - 6*l + 2. Suppose 17179*o - 50 = 17204*o. What is o*b(d) + 9*x(d)?\nAnswer: 2*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.009 in 1.1, -1, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -426c (base 15) to base 12.\nAnswer: -8170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 101 = -37. Let h(l) = -2*l**3 - 9*l**2 - l - 12. Suppose -3*o = 13 + 2. Calculate the least common multiple of h(o) and p.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11\/6? (a) 2\/7 (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -101001100001 (base 2) to base 12.\nAnswer: -1655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -201 (b) -2\/8493 (c) -1\/8 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be (10\/3)\/5*102. Let f = -40 + w. Let z = f + -19. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10000100011 + 10111000010111?\nAnswer: 11001000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -1288*y + 1658944 + 1\/4*y**2.\nAnswer: (y - 2576)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -t**3 - 244347*t + 589404 wrt t.\nAnswer: -3*t**2 - 244347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-6)\/((-6)\/3))\/(9\/(-6)). Let d(b) = -159*b - 11. Let u(s) = -80*s - 5. Let n(v) = 6*d(v) - 11*u(v). What is the units digit of n(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-42376)\/12 - 0)\/((-4)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -18695797 divided by -127\nAnswer: 147211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1382*o**3 - 1388*o**3 + 2773*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y + 6*y - 13*y)*(-3 - 2 + 2*y + 4).\nAnswer: -14*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -2\/11, -1, 4, 183?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 3\/38380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -16*l**2 - 45*l - 1. Let x(n) = -6*n. Give x(z(s)).\nAnswer: 96*s**2 + 270*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2702 - 2699. Let o(z) = -z**2 + 6*z - 5. Let h be (-3)\/9 - 26\/(-6). Let u be o(h). Solve 15 = -n - u*k, -k - 5 = l*n - 0*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the second derivative of -o**4\/6 + 58*o**3\/3 - 841*o**2 - 149*o. Factor u(v).\nAnswer: -2*(v - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**2 + 8*m + 6238. Give k(83).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 334 and 3612878.\nAnswer: 3612878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -24*q - q + 3*t - 4968 + 5040, q + t = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 6)*(-3*r**2 + 2 - 3*r**2 + 0*r**2) + (6 + 4 + 4 + (3 + 1 - 2)*(2 - 1 + 1))*(2*r**2 + 0*r + 0*r).\nAnswer: 12*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-72)\/(-4)*2*5\/(-20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -942 - -901.1. Let u = 41 + m. What is the third smallest value in -1\/13, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - y = f - 17, 5*y + 25 = 2*f. Suppose 3*j = -2*g + 13, -3*g + 5 = -f*j - 5. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8640) - (sqrt(8640) - (sqrt(8640) + sqrt(8640) + sqrt(8640)*-3 - sqrt(8640))) - sqrt(8640))\/(sqrt(144)\/sqrt(3)).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/(-6))\/(-14 + 79140\/5652). Let n = x - -162. Let k(w) = -w**3 + 4*w**2 + 5*w - 6. Determine k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.054 and 9212275.17203.\nAnswer: 9212275.22603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(4\/10)*4960\/775.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w\/w**(-2\/5))\/w)**(-39)\/(w**(1\/6)*w\/(w\/w**11)) assuming w is positive.\nAnswer: w**(-1973\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -61 in -2\/11, 3\/5, 1.7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 17c5b1 (base 16) to base 9\nAnswer: 2834071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -1096*s + 18625. What is d(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 3 (c) -1 (d) 4 (e) 5\/3 (f) 0.18989 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -544*o + 5985. Calculate y(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tcczvccczvcttzbt. What is prob of picking 2 c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 21443572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes before 8:23 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 - 0) + -10 + 17. Let d(f) = -1. Let a(y) = 3*y + 4. Determine h*d(k) + a(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*x - 15*a + 16*a - 21, -4*a + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 47939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 115 by 191788.\nAnswer: 115\/191788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**2 - 2*c - 4. Let q(k) = k**3 - 4*k**2 - 4*k - 1. Let s be q(5). Let b be y(s). What is the second smallest value in b, 0.4, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -77? (a) -5 (b) -1\/8 (c) 171642\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 250 (b) -2 (c) -36.082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**3 + 27532*n**2 - 3290548*n + 97481924.\nAnswer: 4*(n - 59)**2*(n + 7001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.86 + 0.14. What is the second smallest value in s, -0.2, 1\/5, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r + 9. Suppose 4*f = -5*g + 10, -g - f + 6 = 2*g. Let l(b) = -3*b - 37. Let x(a) = g*l(a) + 9*v(a). Give x(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - -a7?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:18 PM and 3:00 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 33*k - 655. Let t be h(20). Solve -t*x = 5*f - 8 + 43, f + 13 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.06 - -0.46. Which is the third smallest value? (a) i (b) -3\/5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -0*m + 135. Let f = m - -59. Suppose -5*g = 2*p + 98, 4*g - 4*p + 88 - f = 0. Round g to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5425831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 1 = 3. Let d(f) = -f**q + 4*f + 0*f**2 - 1 - 6*f. Let m = -6 + 2. Give d(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 2:33 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/((-9)\/(-6)))\/(-1). Let x = 0.12 - 0.22. What is the nearest to 2 in x, -2\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 121101111120122 - -2?\nAnswer: 121101111120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 87 = 211. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m**3 + 0*m**2 + 66 - 71 + 0*m**2.\nAnswer: -m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the second derivative of -13\/20*k**5 - 1\/6*k**3 + 0*k**2 + 1\/10*k**6 - 7\/12*k**4 + 0 + 3\/7*k**7 + k. Determine o so that s(o) = 0.\nAnswer: -1\/2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 5*h**3 + 156*h**2 - 282*h + 492. Give q(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -4*p - 7, -3*o - 2*p + 7*p = -14. Let n = o + -4. Let i be (n - 39\/(-33))\/1. Which is the biggest value? (a) -1 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 0 + 0 + -1 + 10*(-8130)\/(-300)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-210)\/7 + 28 + (-16)\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(-7) - ((-352)\/28)\/2. Suppose -l + u = g, -7*l + 3*g = -4*l. Let r be ((-8)\/48)\/(-1 + 2). What is the closest to 0.03 in -0.1, l, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -6 - 121*(-4 - -3) is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 245*v - 245*v - 6*v**4 + (2*v + 0 + 0)*(2*v**3 - 2*v + 2*v) - 74*v**4 + 4*v**4 - 73*v**4.\nAnswer: -145*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 + 6*p**2 - 2*p - 2. Let y be r(6). Let t = -9 - y. Suppose 106 = 5*h + 26. Solve -3*a - t*i + h = 0, -i = 3*a - 4*i + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 19*l**2 + l. Let h be t(-1). Suppose -58 = -b - 31. What is the highest common factor of b and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -23, 1\/10, -0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 + 23*x**2 - 32*x**2 - 2*x**2 + 8*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the first derivative of -t**5\/80 - 5*t**4\/48 + 18*t + 59. Let k(y) be the first derivative of b(y). Factor k(z).\nAnswer: -z**2*(z + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, -1, -55769, -2, 0 in ascending order.\nAnswer: -55769, -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 70580544319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 + -10010101100000011?\nAnswer: -10010101100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1561 - -840. Let c = 1511\/2 + p. What is the common denominator of c and 27\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 359 (b) -0.1 (c) -2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 377144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 50\/20*4\/(-2). Let x(v) = -v**3 - 4*v**2 + 3*v + 7. List the prime factors of x(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 18 + 36 + -22 - 11\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 660 and 4.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - (-33)\/12)*-1. Let x = -130 + 1172\/9. Which is the second biggest value? (a) 2\/31 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 3*k**3\/7 + 53454*k**2\/7 + 236984340*k\/7 - 1435408200 = 0.\nAnswer: -8930, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -397*g**3 + 654 wrt g?\nAnswer: -1191*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 760560 is divided by 152091?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (375 - 425) + 0 + 1?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/((-49)\/63))\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*1053 + 1\/(-1). Suppose -d + z = 4*a + d, 798 = 3*a - 3*d. Let i = -145 + a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-20)\/(-8) - (4 + -15 - -14). What is the third smallest value in 0.5, 3\/5, n, 1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2235 - 5565 = 10*g. Round g to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 9*l + 10422 = 0, 5*f + 3*l = 13632 + 3666. What is the highest common divisor of 1836 and f?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 11*f**2*l + 596*f**2 + 42*f*l wrt l.\nAnswer: 11*f**2 + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 846786, 846782, 846776, 846768, 846758?\n\"Answer: -o**2 - o + 846788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 7)*((-7*h + 13 - 13)*(-4 + 0 + 0) + ((2 - 1 + 1)*(3*h + 2*h - 7*h) + 0*h + 0*h - h)*(-2 + 7 + 0)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = n + 810000. Suppose g + n = -0*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -5*p - 3*m + 25, 4*p + 5*m = 45. Let x = -386 + 516. What is the greatest common factor of x and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -t**2 + 2*t**2 + t**2 + (-t - 3*t + 2*t)*(-t - 2*t + 5*t) + 0*t**2 - 4*t**2 + 2*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 - -6 - 1\/1. Let n(j) = j**3 - 3*j + 2. What is the units digit of n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1344457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9.5 - 9. Let g = 0.14 + 4.86. Which is the closest to -0.5? (a) 1\/6 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21 + -12. Let a be 4 - 14 - 2\/(-1). Let z = -2 - a. Calculate the greatest common divisor of z and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 4*m**2 + 6*m. Let g(h) = -h**2 - h. Let y(c) = -6*g(c) - l(c). Let v(i) = 10*i**2 + 2*i. Determine v(y(n)).\nAnswer: 40*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (33\/(-6) + 5)*0. Which is smaller: r or -26\/41?\nAnswer: -26\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 152 - 149. What is the derivative of 6*b**3 + 1888 - 1941 + 0*b**l + b**2 wrt b?\nAnswer: 18*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -149 - -158. Let j(u) = -7*u + 65. Let h be j(k). Which is the smallest value? (a) 5 (b) h (c) -4 (d) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -e - -15834?\nAnswer: 15826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4190*s + 4193*s - 42. What is the remainder when 807 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -112 by 2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -2*o**3 - 7*o**2 + 58*o + 183. Let m be h(-3). Solve m = -4*c - 5*i - 52 + 7, 0 = 4*c - 4*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 + -8. Suppose d = 2*i - 6*i + 8. What is the nearest to i in -1\/2, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 1491.85ml?\nAnswer: 1.49185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 2131 divided by -83512\nAnswer: -2131\/83512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:13 AM and 6:21 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1051189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 331, 672, 1001, 1312, 1599, 1856, 2077, 2256?\nAnswer: 2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17631.\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -124*v - 560 + 1823 = -1093 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 + -12. Which is greater: -8\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q**3\/4 + 339345*q**2\/4 - 678681*q\/4 + 339339\/4 = 0. Calculate q.\nAnswer: 1, 113113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.0103 - 1.5103. Which is the nearest to 2\/7? (a) 3 (b) 0 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8439 is divided by 234?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56579?\nAnswer: 29, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-12)\/15)\/(2\/(-15)). Let f = u + -8. Let v(m) be the second derivative of m**5\/20 + m**4\/4 + m**3\/3 - m**2\/2 + 1274*m. Give v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1630543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 1937340 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -14, 2\/499, -0.051, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -2ab95 (base 16) to base 10.\nAnswer: -174997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (117 + 71 - 47)*((0 + 1 + 1)*(0*s - 2*s + 0*s) - 49*s + 110 - 110) as c + f*s and give f.\nAnswer: -7473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*j - 84 = 28. Suppose -56 = -s - 2*m - 15, 0 = 3*s - 5*m - 90. Suppose j*k = s + 49. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-102)*1\/(-3)*270\/(-120)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 5 + sqrt(13) + (4 + sqrt(468) - sqrt(13)) + 1)**2 + -1.\nAnswer: 60*sqrt(13) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 7*m**2 - 13*m - 23. Suppose 0 = 5*i + 62 - 17. Does 32 divide g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-22)\/(-8) + (-11)\/(-44). Let z be (196\/(-232) + 1)\/y. Let j(g) = g**3 - 4*g**2 + 3*g - 1. Let o be j(3). Is z smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 - (-63)\/(-66)*(-56)\/12. Is f smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60100 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1641.9 + -1642. Let q = 1.07 + 0.13. What is the nearest to 0 in v, q, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -4*a - 6. Let j(g) = -g - 1. Calculate -5*j(r) + y(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 2*p - 160 = -159, -2*n - 5*p = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -28*i**3 - 7*i**2 + 3*i + 1. Let s(v) = 60*v**3 + 14*v**2 - 6*v - 2. Determine -13*r(j) - 6*s(j).\nAnswer: 4*j**3 + 7*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 636 and 744?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 453875847 by 1.\nAnswer: 453875847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 415020 and 36?\nAnswer: 1245060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-7)\/2 + 4)*0. Let o be 9 + (-5 - (a + -2)). What is the highest common factor of o and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*a**2 + 2 + 15*a**2 + 5*a**2 - 3*a**2 + 2*a**2.\nAnswer: 10*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1458936 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27, -103, -239, -441, -715, -1067, -1503?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.7 - 5089\nAnswer: -5088.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10920 and 104260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, q: 2, b: 1, f: 3, r: 5, t: 1}. What is prob of sequence rrz?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 2) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-8)\/6 - -1)*15. Which is the biggest value? (a) 0.15 (b) -1 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -2*v**3 + 29*v**2 - 8*v - 22. Let z be p(14). Which is greater: 63 or z?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-159970)\/(-18820)*(-24)\/17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*k - 3*k - 4*k - 26*k**2 + 209*k**2 to j*k**2 + d*k + l and give j.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -260*p**5 + 74*p**2 wrt p?\nAnswer: -15600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 12 - 15 - (-8 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 2*w + 11. Let i be r(-7). Let n be (-1 - 2)\/i - -3. Suppose -4*p = -3*z - 34, 4*p - 22 = p + n*z. Calculate the remainder when 24 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 312 - 4?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 221, -1\/40, -0.3, 3850 in descending order.\nAnswer: 3850, 221, -1\/40, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4d4 + 18359?\nAnswer: 17c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:38 AM and 12:21 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -13*u**3 + u**2 - 5*u + 13. Let o be q(3). Let v = 270 + o. Which is bigger: v or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 1 = 13. Suppose 3*f - 12 = 0, -4*f + 17 - 1 = h*j. Suppose -7*n + 297 + 207 = j. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 6, 0.07446, -0.8, 13, -1\/11, 0.5, -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -48140, -385431, -1300908, -3083663, -6022788, -10407375, -16526516?\n\"Answer: -48182*h**3 - h**2 - 14*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 4 = -8. Let m be v\/10 - (-99)\/(-45). What is the nearest to m in 0, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 160414957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3616 - 3512. Solve -11*z - 15*z = -x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000401383704 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4 - (-4)\/2 - 1. Suppose 67 = 3*l + 2*b, 110 = a*l + 2*b + b. What is the remainder when 55 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**3 + q**2 - 1. Let r(f) = 11*f**3 + 5*f**2 + f - 5. What is -r(i) + 6*u(i)?\nAnswer: -17*i**3 + i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -24080113*r*x**2 - 89*r*x + 3*x**2 + 100657*x wrt x.\nAnswer: -48160226*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2323489647707*j + 2323489647707*j - 6*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -13\/8 (b) 6 (c) -93 (d) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -674*g - 430*g - 309*g - 267*g + 87*g.\nAnswer: -1593*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + q = -2*q - 216, 4*u = 4*q + 888. Suppose x = -4*x + u. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 245292*f**3 + 3*f*u**2 + 2*u**2 + 10*u - 5793 with respect to f.\nAnswer: 735876*f**2 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 96 or 3412?\nAnswer: 3412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 215*a*m**3*t**3 + 50*a*m**3*t - 32799*a*m**2*t**3 - 4*m**3 + 4*t**3 wrt m.\nAnswer: 1290*a*t**3 + 300*a*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 - 24.4. Which is the closest to -0.3? (a) 0.5 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2426 is divided by 422.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 6, b: 6}. Give prob of sequence bbab.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 110974605 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 72597 and 1680?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 478834 is divided by 239407.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -867019 = 58*d - 864757 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**2 - 145*f + 1196. Calculate x(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3583 in -3\/7, -3\/107, 3\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -23026.399 - -23032. Round x to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 24e (base 15) to base 7\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-8 + 6)\/(12\/40614)*-1?\nAnswer: 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d - 66 + 86. Suppose 5*m + 5*y - 15 = 0, 0*m + 15 = d*m + 5*y. Solve 3*a - 5*a - 2 = m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 89, 189, 311, 443, 573, 689?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -4*y - 10. Let r(g) be the second derivative of g**4\/12 + 5*g**3\/6 + 7*g**2\/2 - g. Is r(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ieeiemc. What is prob of sequence iice?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 4*u - 28, 3*u + 2*l - 3 = -5. What is the third biggest value in 5, u, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24 divided by 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the first derivative of z**6\/3 - 14*z**5\/5 + 4*z**4 + 32*z**3\/3 + 137. Determine q, given that x(q) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 179014?\nAnswer: 716056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2 - 6*y + 3. Suppose 0 = -3*i + 2*k - 11, 3*k - k - 17 = 5*i. Let s = i - -5. Calculate b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3903, 3304, 2705, 2106, 1507?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7 and 7126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x*x*x*x**(1\/4)*x)\/x*x)\/(x**(-2)*x))\/(x**(2\/13)*x**(-8)))\/((x**4\/x*x)**(-10))**(-8\/9) assuming x is positive.\nAnswer: x**(-10511\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1261691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(-4) - 18\/(-24). Suppose -3*l - 4*q - 7 = 0, -4*l + 5 - v = 2*q. Suppose l*m = 4*s + 189, 162 = 2*m + m + 5*s. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.8993 to 2 decimal places.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 1174 by 2.\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**2 + 3*z + 13. Let t be a(-3). Let i be 25*-1*(-2)\/5. Let g = t - i. Solve -b - g*c - 7 = 0, 4*c = -b - 8 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -412*y - 76780 = 2002*y + 12538 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence meem when four letters picked without replacement from {z: 5, e: 5, b: 1, d: 3, r: 2, m: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -43 + 45. Suppose -6 = -2*u - y. Is (-236)\/(-8)*1*u + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 266 - 264.876. Let u = z + -0.124. What is the closest to 0.1 in 2\/11, u, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 104 = -9*o. Let q(b) = b**3 + 8*b**2 - 5*b - 33. Let v be q(o). Suppose 4985 = v*g + 1198. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3619 and 26873.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2706\/(-13) - (28\/26)\/(-7). Let b = l - -331. What is the remainder when b is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -12319, -24695, -37071, -49447, -61823, -74199?\n\"Answer: -12376*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -5. Let v = -6 + 12. What is the remainder when v is divided by (-4)\/(-2)*g\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -12*c - 84. What is x(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**3\/11 + 12844*q**2\/11 - 26184320*q\/11 + 16405613568\/11.\nAnswer: -2*(q - 2608)**2*(q - 1206)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34038*p**2 - 34038*p**2 + 2*p + 4*p**3.\nAnswer: 4*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the second derivative of 0 + 0*v**2 + 1\/60*v**6 + 1\/80*v**5 + 0*v**4 - v + 1\/168*v**7 + 0*v**3. Let j(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 548148625 divided by -672575\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/6*(-2 - 1) + 1. Let w be (-3 + 7\/i)*0. Factor 0 + w*j - 8\/7*j**3 + 2\/7*j**2.\nAnswer: -2*j**2*(4*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 PM and 8:26 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j = -4*d - 22, -3*j - 7*d = -6*d + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m = -5*h - 10*m + 40, 0 = -4*h - 4*m + 36. What is the lowest common multiple of h and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**2 + 11*q + 15. Let z be x(12). Suppose -z*s - 159 = -6*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2 - m - 6. Let y(t) = -t - 19. Let a be y(0). Let p = a - -27. Calculate the smallest common multiple of p and v(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6, 17, 78, 195, 386, 669, 1062, 1583?\n\"Answer: 3*p**3 + p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 7635*i - 4 - 7640*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 3*a - 15, 5*l - 15 = -0*l - 3*a. Let k be -1*(3 + -2)*-7. Suppose -p + 2*u + 1 = l, -2*p - u + 10 = -k. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h + 20 = -5*q - 5, -2*h + 15 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is n in n**5\/11 + 5413*n**4\/11 - 16249*n**3\/11 - 5413*n**2\/11 + 16248*n\/11 = 0?\nAnswer: -5416, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -3*b**2 - 3. Let j(u) = 1038*u**2 - 48. What is j(x) - 15*m(x)?\nAnswer: 1083*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -148622889 + 148743204.951. Let i = y + -120380. Let f = i - -64. Round f to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of 7*l**6\/120 + l**5\/15 - 3*l**2 - 2*l. Let r(u) be the first derivative of g(u). Find the third derivative of r(b) wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 - -18. Let f = -36 + 69. Calculate the greatest common divisor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.261? (a) -0.5 (b) 1\/135 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -468 divided by 156.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x**3 - 330*x**2 - 18150*x - 332750 = 0. What is x?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -13*v**2 + 19*v - 8. Let a be r(5). What is the tens digit of (-2 - a) + 0 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10ac8 (base 13) to base 2.\nAnswer: 111011011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be -5 - (-8 - -15 - 11). Which is the fifth biggest value? (a) 0.3 (b) 2 (c) -10 (d) -1\/54 (e) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10330 (base 4) to base 7.\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -6*y**3 - 25*y**2 + 48*y + 210. Let q be n(-4). Solve -q*b + 2 = -s, 0 = -38*b + 33*b + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4068 + 542*y + 4068 to d*y + h and give d.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -864692, -864706, -864732, -864776, -864844?\n\"Answer: -g**3 - 7*g - 864684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 372807 by -115.\nAnswer: -16209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.01 (b) 2\/11 (c) -4 (d) 1\/3 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0010522723 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 5*h + 306 = 0. Suppose -3*o - 1712 = 5*q, 5*q = 5*o + 4617 - 1777. Let v = h - o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40, -47, -54, -61, -68?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 275086 = -32*u - 25*u + 64*u. What are the prime factors of u?\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmmmmmmmmmlmllmm. Give prob of picking 3 l.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2966, 3888, 4802, 5708?\nAnswer: 6606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -792 in -4, 8216, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000147945 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 1589 = 1817. Let r = g + -171. Calculate the greatest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3573 + 3652. What is the remainder when 227 is divided by b?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*k + 4*k - 4*z + 2625, -2*k - 2*z = -1752. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 35105\/282 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -659347 + 15161096\/23. Let p = 169 + i. Is p smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4.32 - 3.92. Suppose 3*i - 20 = -4*x, 0 = x + i + i - 10. Let k be (2\/8)\/((-1)\/x). What is the nearest to 3 in t, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 - 3*o**2 - 23*o + 65. Give f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7824 + -7823.999973962. What is f rounded to 7 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 7215*v**3 + 9*v**2 + 48*v - 80. Let z(y) = 1804*y**3 + 2*y**2 + 11*y - 20. Let f(w) = 2*i(w) - 9*z(w). Find the second derivative of f(l) wrt l.\nAnswer: -10836*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (k**3 + 2*k**3 - k**3)*(3*k + 2*k - 3*k) + 2*k**4 - k**4 + k**4 + 28*k**4 + 60*k**4 - 4*k**4.\nAnswer: 90*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -652706.1 rounded to the nearest one thousand?\nAnswer: -653000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3776998?\nAnswer: 2, 61, 83, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l, 1 w, and 1 q when four letters picked without replacement from {q: 4, w: 3, l: 2, d: 1, o: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 14 - 23. Let k(s) = s**3 + 8*s**2 - 10*s - 4. Let z be k(y). Is 765\/18*6\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1273048\/373 - 3413. Suppose 32 = 8*k - 117*k + 141*k. Is j smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000 + 10010?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 56466 + -26880. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 155 + 7*r**2 - 26*r - 47*r + 117*r - 35 - 3*r**2.\nAnswer: 4*(r + 5)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29167 is divided by 73.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 116365 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q + 6. Let s(o) be the third derivative of o**6\/720 + 5*o**4\/24 + 18*o**2. Let c(t) be the second derivative of s(t). Calculate c(w(g)).\nAnswer: -2*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 175*i**3 - 35*i**4 - 2*i**2 + 90*i - 175*i**3 + 101*i**4 wrt i.\nAnswer: 792*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, -1, -23, -65, -133, -233, -371?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - 4. Suppose 310 = 4*c + c + y*d, 3*d = 3*c - 180. Calculate the remainder when c is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the third derivative of -n**5\/30 + n**2. Let w(v) = 6*v. Let c(r) = -4*r. Let y(p) = 8*c(p) + 5*w(p). Calculate y(g(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -729 * 1.678\nAnswer: -1223.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13 - 11. Let y(a) = -p - a + 0*a + 3. List the prime factors of y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (32 - 1)\/(171\/79857) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.121, 0, 3, -1\/6, 4 in descending order.\nAnswer: 4, 3, 0.121, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 7*l**3 + 5*l**2 + 7. Let k(m) = 6*m**3 + 4*m**2 + 6. Let x(i) = -5*f(i) + 6*k(i). Give x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 PM and 11:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 + 2)*(2 + -2). Solve m = 3*a - a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 3*b + 175. Let a be p(-56). Suppose 0 = 4*f - 15 - 9. Let s be 46\/f - (-2)\/(-3). What is the highest common divisor of a and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the third derivative of n**5\/60 - n**4\/8 - 7*n**3\/6 - 2*n**2. Let m be z(5). What is the second derivative of -4*u + 5*u**m + u - 3*u wrt u?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1066864414 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 38\/180407159?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (2*i + 0*i + 0*i)*(-3 + 3 + 2*i**2) + 2672*i**3 - 387*i**2 + 387*i**2 in the form g*i**2 + m*i**3 + d + z*i and give m.\nAnswer: 2676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2403, 2387, 2347, 2271, 2147?\n\"Answer: -2*o**3 - 2*o + 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1381618, -1381613, -1381608, -1381603, -1381598?\n\"Answer: 5*l - 1381623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 2*n - 7. Let v = 62777 + -62637. What is the lowest common multiple of p(6) and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jvjjvjxjxvv. Give prob of picking 2 j.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2920*y**4 - 1846?\nAnswer: -11680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 784142787?\nAnswer: 3, 19, 3221, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 829.423 - 882.62. What is m rounded to 0 dps?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -52*v + 68419 - 23751. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -961, 748?\nAnswer: 748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 30868621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**4\/5 - 2*x**3\/5 - 2*x**2\/5 + 2*x\/5 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 428465\/94 + -4558. Let d = 1579\/987 + i. Calculate the common denominator of d and -179\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10134*b = -10197*b + 5733 for b.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*w + 4*v - 439 = 0, 25 = 3*w - 14557*v + 14559*v + 8 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 3*h + 20. Let s(w) = -7*w**2 + 1. Let d be s(-1). Let r(u) be the second derivative of 0 - 1\/6*u**3 - 7\/2*u**2 - 3*u. Calculate d*x(g) - 17*r(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -c814 (base 14) in base 12?\nAnswer: -17b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -1746\/67, 4, -0.1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 535*w**2 + 11768*w + 76. What is s(-22)?\nAnswer: 120","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: What is the remainder when 2942977 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13056 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 2 + 8. Suppose 5*z = -5*a + 65, -2 = a + 4*z - 8*z. What is the least common multiple of a and 2\/u - (-2 - 5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -89914 smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 19749425601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 63 - 62. Put 0, -4, 0.04, g in descending order.\nAnswer: g, 0.04, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 2*j**2 + 67*j - 2316. Give h(21).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -163 - -161. Let f = 0.8 + -0.1. What is the nearest to 0 in -0.4, k, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.9 + -6.9. Let u = -0.973 - d. Let z = -0.827 + u. What is the closest to 1 in z, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 12, p: 7}. What is prob of sequence zp?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 AM and 1:52 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be 22\/(-12)*(-606)\/2222. Let a be (3 - 0) + 3\/(-2). Factor 1\/2*m**3 - a*m**2 - b*m + 1 + 1\/2*m**4.\nAnswer: (m - 1)**2*(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes before 3:50 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1803049896 divided by -6.\nAnswer: 300508316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-14))\/((84\/196)\/(6\/8)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1022 = -25*k + 1003. Let b = -65 + k. What is the remainder when 23 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f = 12*f - 80. Let g(d) be the second derivative of 1\/6*d**f + 1\/3*d**3 + 0 + 0*d**2 - 7*d. Solve g(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1566)\/(-522)*(-5)\/(1\/1*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 641.6187 years to millennia.\nAnswer: 0.6416187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-33)*7*108\/(-126).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -590, -589, -588?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2947 + -2943. Solve 0 = -p*r - 3*j - 15, j + 4 = -8*r + 7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2, 79.6, -16.22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve a**2 - 4298*a + 4618201 = 0.\nAnswer: 2149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 31.9 plus -0.612?\nAnswer: 31.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, -97, -146, -197, -250, -305, -362?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + 0 - (-4 - (2 + -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**19\/u)**(3\/8)*(u**(-10))**6 assuming u is positive.\nAnswer: u**(-213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16652582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 29346406429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.1 + -0.3. Let l be (-56)\/40 + 12\/15. What is the biggest value in l, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 70 and 1274.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**10\/g*(g*g**(-4))\/g)\/(g**(-7)\/g*g*g*g**3*g) assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(5\/17)\/(q*q*q\/(q\/q**(-43))))**33 assuming q is positive.\nAnswer: q**(23166\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 38347, 153337, 344983, 613285, 958243, 1379857?\n\"Answer: 38328*q**2 + 6*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**2 - 1. Let n(m) = -81*m**3 - 567*m**2 + 567. What is -3*n(b) - 1701*s(b)?\nAnswer: 243*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -5*o + 27, -67 = -4*o + 2*b - 43. Which is smaller: o or 81\/50?\nAnswer: 81\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 2*r**3 + 25*r**2 - 6*r. Calculate t(-13).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + 10 + (-2 - -5) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 139947 and 2781.\nAnswer: 129730869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-1\/20)*((y\/(y*y**12*y))\/y)\/y)\/(y*y**(-3\/13)*y**(-1\/2)\/y) assuming y is positive.\nAnswer: y**(-3723\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4.0976 - 4. Let o = s - 0.12. Round o to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 6 = 3, -u = -4*y - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sggychgysvs. Give prob of picking 1 v and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = m + 11, 31 = -m + 5*k + 11. Let g(y) = 2*y**2 + 5*y + 4. Suppose -3*j - 6 - 3 = 0. Let i(w) = -w**2 - 3*w - 2. Calculate j*g(c) + m*i(c).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4*n*r**2 + 25708*n*r - 74687309*n + 13*r wrt r?\nAnswer: 8*n*r + 25708*n + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -33 and -4091641?\nAnswer: 135024153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3 (b) 1\/2 (c) 0.029 (d) 2\/11 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(612))*-2 - (sqrt(68) + sqrt(68)*1)**2*3.\nAnswer: -814 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15.012 - -0.012. Let l = -4\/17 - 1\/68. Are l and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -34191951\/23 or -1486608?\nAnswer: -34191951\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**4\/5 - 9*d**3\/5 - 8*d**2\/5.\nAnswer: -d**2*(d + 1)*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-10) + ((-1048)\/120 - -10)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 14487 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(204)\/(sqrt(12) + sqrt(48)*2) + (-4*sqrt(187)*-2)\/sqrt(11) - ((sqrt(153)*-2 + sqrt(17) + -2)*4 + 2).\nAnswer: 6 + 141*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 - 13*i**2 + 10*i + 27. Let q be f(12). Let u(k) = -10 - q*k**2 + 10 - 15 + 5*k**2. What is the units digit of u(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -11*b**3 + 5*b**2 - 5*b + 5. Let g = -75 - -78. Let m(i) = 19 - 18*i**2 - 37 + 0 + 18*i + 39*i**g. Let v = 10 - 5. Give v*m(k) + 18*f(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-126)\/(-1071) + (-2)\/17. Let f(z) = 4*z**2 + 2*z - 9. Calculate f(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 5*s**3 - 7*s**2 + 10*s + 7. Let d(z) = 9*z**3 - 13*z**2 + 19*z + 13. Let y(m) = -6*d(m) + 11*w(m). Let g be y(-2). Does 12 divide 36 + (0 - -1) + g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 + 9 + 4 - (1 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -95\/1798 and 1\/22?\nAnswer: 19778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3394*c + 2367*c + 14187*c.\nAnswer: 19948*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*(-76)\/(-1330)*-98.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r. Let t(n) = 45558803*n. Give s(t(i)).\nAnswer: 45558803*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**2*p)**45*p**5*p**(-8) assuming p is positive.\nAnswer: p**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0, 2, 7 in descending order.\nAnswer: 7, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 270\/60 - 1775\/(-50).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 271 a factor of 49593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 34 and 684777.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 3*a = 2*a + 35, 0 = 3*h + 2*a - 21. Let v be 3\/h*3\/9. What is the closest to -1 in -1, -4, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(1300) - (sqrt(1300) + (sqrt(1300)*1 - sqrt(1300))))*3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l + 6. Let j be b(8). Suppose -p + 0 = f - 7, f + 48 = 4*p. Suppose -5*g + 25 - 10 = -5*t, -p = 2*t + 3*g. Sort t, 0, j, 3 in decreasing order.\nAnswer: 3, 0, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = -31*p + 28*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/(297\/22))\/((80\/2100)\/(2\/5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.5 + -23.9895\nAnswer: -23.4895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.203112082 to three decimal places.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -145*n**3 - 6*n**2 + 2. Let k(h) = 145*h**3 + 4*h**2 - 2. Calculate 2*g(f) + 3*k(f).\nAnswer: 145*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 16 = 5*m, 2*a - 12 = -0*a - 2*m. Let c = -16 + 44. Solve 2*u - a*k = 4*u + 16, 2*u + 5*k + c = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 3*v = 2*v - 16, -5*z - v + 20 = 0. Suppose -z*b - 5*x + 47 = -38, 2*x = 2*b - 78. Calculate the highest common factor of 35 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*u**4 + 2*u**3 + 155*u**2 - 9 - 155*u**2 to a*u**4 + o + f*u + v*u**3 + l*u**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-38)\/(-8)*3*12. Let q = p + 1745. Suppose -12*n + q = -8*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1060 + -4239\/4. Let w = 3.04 - 0.04. Put t, w, 2\/3 in descending order.\nAnswer: w, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (40\/(-30))\/(2\/(-198)). What is the greatest common factor of 44 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6175.04*25.\nAnswer: -154376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are -1379 and 160973 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the second derivative of -5*p**3\/6 + 7*p**2\/2 + 6*p. What is the first derivative of f(a) wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c - 3*x + 142, c + 3*c - 115 = -x. Calculate the highest common divisor of c and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, y: 1, m: 2, d: 1, b: 1, i: 2}. Give prob of sequence bci.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 394181423.\nAnswer: 151, 2610473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101000 - 0?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 450 and 138450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -5*u + 1. What is the tens digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes before 9:51 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -41*o + 152. Suppose -5*j = 5*m - 205, -56 = 5*j - 6*j - o*m. Is j a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 251113176.\nAnswer: 2, 3, 103, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 172291 and 172291?\nAnswer: 172291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + 208\/100 + (-4)\/50. Sort 42, l, -2 in ascending order.\nAnswer: -2, l, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2c294 (base 13) to base 12\nAnswer: 406b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, 0, 6441 in increasing order.\nAnswer: 0, 2\/7, 6441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*b + 3*b + 3*b)*(-4*b + 97 - 97)*(0 - 2 + 1).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 - 67568?\nAnswer: -67563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1185170 rounded to the nearest 10000?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 110011001 (base 2) in base 8?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 5*s + 19 = 0, -s = 5*h - 20 + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -w - 0*w - 4*s, 2*s - 31 = -5*w. Suppose -m + y = 3*y - 229, w*y - 238 = -m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-4) - 15\/(-2). Suppose c - 6 = -2*p, 2*p + 4*c = 4 + f. Solve 10 = 5*x - j, 0 = x - 3*x + p*j + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*q**3 - 54*q**2 - 60*q - 16.\nAnswer: -2*(q + 1)*(q + 4)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (142844538000\/(-20745))\/((-4)\/6 + 49\/75). What is f rounded to the nearest 1000000?\nAnswer: 516000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -371 by 57.\nAnswer: -371\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 34765 and 12665.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23230, -23690, -24404, -25372?\nAnswer: -26594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z - 4. Let n be (4\/(-3))\/(-4)*-3. Let x be (0 - (n + 0)) + 3. Give v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than 3492\/43757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i - 4*i + 2*i + (-2*i - 2*i + 2*i)*(-1 + 2 - 8) - 15*i - 14 + 8 + 16*i.\nAnswer: 11*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -194213829 from -0.3.\nAnswer: 194213828.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -7 - 13. Suppose -6*s + 8 = -q*s. Suppose 3*a + s - 22 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rhrrhrcrdrdrdrjrdrc. What is prob of sequence dr?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0777 + 0.5223. Let y = -1.2 - -1.35. Is y < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1118522393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -15.33 and -2999.\nAnswer: 45974.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3 - ((-90)\/135 - (-44)\/(-6)). Let x be (2590\/21)\/(4\/18). Suppose b*f + 0*f = x. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.222 in -1, -0.05, 0, -3299?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-12)*153\/340?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 89.84328t to micrograms.\nAnswer: 89843280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - l + 0 + 0*l - 2*l + 0*l + (-1 + 0 - 1)*(3*l - 4*l + 2*l) - 18*l + 31*l + 21*l as v*l + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = -2*h + 23, -4*h = -3*h + u + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1072 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-10) + 360\/50. Solve k = -m + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -6*y**3 + 3*y**2 + 3*y + 5. Let b be j(-2). Suppose -5*u = -i + 120, -u - 402 = -4*i + b. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2*h - 1860, -3*h - 2*j - 2820 = j. Let c = h + 9643. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -29? (a) 69 (b) -2 (c) -7 (d) -0.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 - -2)*(1 - 1). Let a be -1 - -1*(q - -1). Suppose a*m = m + 1900. What is m rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the first derivative of 8*o**3 + 2*o**2 + 4*o + 20. Let d be g(-2). Calculate the remainder when 10*(0 - d\/(-8)) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) -1\/5 (c) -0.4 (d) -3\/2 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -381857908 divided by 187553?\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-4)\/8)\/(2\/(-20)). Let x be -1 - l\/((-300)\/68). Let r be (-3)\/2 - (-1)\/1. Sort x, -5, r.\nAnswer: -5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 222, -111412, -3 in descending order.\nAnswer: 222, -3, -111412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18855 and 5235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 280, 249, 198, 127?\n\"Answer: -10*i**2 - i + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 323 (base 5) in base 6?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -728 in 0.3, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 - -131133013?\nAnswer: 131133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 0.2, -12, 0.4.\nAnswer: -12, -0.4, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -73225, -255, 7 in increasing order.\nAnswer: -73225, -255, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -19*k**2 + 14*k + 1. Let g(o) = -3*o**2 + o. Let n(m) = 14*g(m) - v(m). Suppose 5*x - 4 = -9. Give n(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 3 = 0, -10 = -v + o - 4. What is the second derivative of -3*n - 8*n**3 + 3*n - n - v - 2*n + 2*n**2 wrt n?\nAnswer: -48*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104066 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3 - 127378*m**2 + 2028080670*m + 2028208050.\nAnswer: 2*(m - 31845)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*x**3 + 383*x + 375*x - 757*x + 174*x**2.\nAnswer: -2*x**3 + 174*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/9 in 18\/11, -3\/8, -1\/3, 4, -6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 0*p + 5*p**2 - 4*p**2 - 2*p**2 - 7*p. Suppose 0 = y - 0 + 5. Calculate n(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 230 = 142*z - 165*z - 92 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-308295)\/(-8775) + -37 + 2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -35*m**2 - 30*m**2 - 33*m**4 + 13*m**2 wrt m?\nAnswer: -792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/(-7) + 2196\/2772. Suppose 10\/11*t**2 + l*t - 6\/11 = 0. What is t?\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38475894, -38475878, -38475862, -38475846, -38475830?\nAnswer: -38475814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hxhoptxxodohhx. Give prob of sequence hdx.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 2, -1\/3, 8, 3417, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 48003902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-5)*u*u*u*((u**(-2\/9)\/u)\/u)\/u)\/(u\/u**1)**24 assuming u is positive.\nAnswer: u**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 38501091 to the nearest integer?\nAnswer: 6205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -30 + 10, -2*a = -5*t - 50. Let u = t + 5. Suppose 0 = 5*l - 3*c + 47, 85 = -l - 7659*c + 7668*c. Put u, l, -1 in descending order.\nAnswer: -1, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 4 = 3*i. Let m be (-1288)\/(-126) + i\/(-18). Let w(y) = 3*y - 13. Calculate the remainder when w(m) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -1*2*sqrt(19))**2.\nAnswer: -12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.09 and -305596576075?\nAnswer: 305596576075.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 7133 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**2 + 331*u + 21661. Give m(-56).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1 + 0 + 5 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -93.5623972 + -0.4\nAnswer: -93.9623972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2298 and 6894?\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -183 - -295. Let k = 114 - q. Suppose -u - h = -5*h + 8, -4*u - 2*h = -22. What is the smallest value in u, k, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 671\/(-2684)*(-3)\/(-4). Which is the second biggest value? (a) -2 (b) u (c) 3 (d) -2.7 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-140)\/(-30) + 0)*-6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 4:25 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 126761815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, 4, -2, -4 in decreasing order.\nAnswer: 4, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*d - 423 = -1893. Calculate the remainder when 165 is divided by d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - -26192?\nAnswer: 26194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1825, 0.1595, -10?\nAnswer: 0.1595","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -z + 14, -z + 32 = z - 3*c. Let j = -6 + z. Solve -b - j + 1 = 2*h, -b = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/2538 and -145\/5214.\nAnswer: 2205522","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 5}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 98, 805, 2734, 6497, 12706, 21973?\nAnswer: 34910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2130.1794us in hours?\nAnswer: 0.0000005917165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80*c = 83*c - 6. Suppose -l - 9 = -c*w - 3, l = -w + 3. Let g(v) = -v**2 + 4*v + 2. List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22810 is divided by 101?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 336974533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 17*a + 12.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -3602012 by -4.\nAnswer: 900503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/4)\/((-41)\/41).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5b3ed0 (base 15) in base 11?\nAnswer: -2513180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -233789*i**4 + 81*i**3 - 102210650*i**2 wrt i.\nAnswer: -5610936*i + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnpkprnnrnn. What is prob of picking 1 k, 2 r, and 1 n?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-20)\/70 - (-3)\/(-672)*-78?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z = 130 + 22. Suppose 2 = 7*y - z. Put y, -2, -1 in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 124*d + 214*d - 15*d + 30*d + 93*d.\nAnswer: 446*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -135*j + 1739. Determine i(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i**4\/7 - 57684*i**3\/7 - 428822706*i**2\/7 - 184415673280*i\/7 + 557107981824\/7 = 0.\nAnswer: -14192, -461, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 14601502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3, 2, -11\/3 in ascending order.\nAnswer: -11\/3, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 25681 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.2 - -1.01. Sort -2\/13, l, 5, 0.4.\nAnswer: l, -2\/13, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 292 + 53. Let w = 350 - q. Solve -62 = -w*y - 37 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-20))\/((-4)\/(-20)*20\/(-24))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 AM and 11:13 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((sqrt(96)\/sqrt(3) - sqrt(32)) + -1*sqrt(968) + sqrt(8))\/(sqrt(32)\/(-3*sqrt(80)\/sqrt(10))).\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 3*u + 29 = -2*p, 5*u - 35 = 5*p. What is the remainder when 19 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**2 - 2*a + 2. Let w(y) = 8*y**2 - y**3 + 2*y + 10 + 33 - 47 + 69. Let o be w(9). Determine m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -1662.\nAnswer: -5\/1662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w = h + 6*w + 49, -h = 14*h + 3*w + 21 + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 - 8.8. Which is the biggest value? (a) -3 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 + -6. Let f be (-45)\/(-175) - 2\/5. Which is the closest to -2? (a) f (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3378 divided by -1044.\nAnswer: -563\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.06 - 0.06. Let v = h - 0.4. Let q = v - 0.5. Sort 2\/7, 3, q in increasing order.\nAnswer: q, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to 13155350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 163974374?\nAnswer: 2, 81987187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 16221347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14868 and 48819?\nAnswer: 241946964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18331 is divided by 1759?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 612, 605, 600, 597, 596, 597, 600?\n\"Answer: r**2 - 10*r + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 3*v - 2*v + 3*v**2 - 4 + 4*v**2 in the form f + k*v + h*v**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 3*b**3 - b**2 - b + 5. Let q(a) = a**3. Let y(j) = l(j) - 2*q(j). What is the units digit of y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -41 - -45. Suppose -2*y + 232 = -2*g, p*g - 208 = -y - y. Find the third derivative of l**2 - 106*l**6 + y*l**6 + 4*l**2 wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 3*h**2 - 47*h + 111. Let l be n(26). Which is bigger: 916 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12032 = 2*t - 25*t - 24*t. Solve f - 1 = -w, t*w - 8 = -2*f + 251*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 198008 and -79.\nAnswer: -15642632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 - 5. Let h be (-1)\/g + 15\/12. What is the units digit of h\/((-18)\/10 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/3, 25, -8, -0.5, -0.9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 + 3*y**2 - 3*y + 3. Let k be s(2). Let r be k - (1 - 4) - 0. Suppose 0 - 2 = -g. Solve -g*t = -3*t + x + r, 0 = -2*t + x + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2 - 2*i - 1. Let v be (-3 - (-1 - 0))*(1 + -2). Give g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1424 + -1348. Suppose g = z - 24 + 3, 2*z + 4*g - 18 = 0. Calculate the remainder when d is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-118 - 249 + 8)*(1 - 2*p - 2 + 3*p) as w + z*p and give z.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5020*s**5 + 7*s**2 + s + 571 wrt s?\nAnswer: -301200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 54 - 59. What is the fourth smallest value in -1, -2\/3, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 12528 divided by 696?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do -2 and -12\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 51\/4958 and -45\/147778.\nAnswer: 9901126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -155*f**2 - 1884*f + 7535. Calculate o(4).\nAnswer: -2481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 57\/7 and 38\/87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1013, -1016, -1021, -1028, -1037, -1048, -1061?\n\"Answer: -z**2 - 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/2*(-182)\/52?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -905 - -545. Let s = -359 - b. Suppose 4*o = 3*c + 11, 3*c + 5*o + 19 = o. What is the smallest value in 5, s, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 - -2. Let j(r) = -2*r**2 - 9*r + 2. Let a be j(-5). What is the second biggest value in a, -2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 85.2 + -85. Let n = 0 - -3. Let f = 0.3 - 0.2. What is the second smallest value in f, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 11 = 95. Let i = 27 + s. Suppose 1712 = i*z - 58288. Round z to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000129 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + 99\/(-15) - (-2)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(78) + (2*sqrt(78) - sqrt(78)))*4)\/sqrt(6) + (3 + sqrt(117) + 1 - sqrt(117)).\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 13*j**2 + 1. Let l be x(1). Let k be 5*(-1)\/(-15)*-15. Let d be -1 - k - (-7 - -8). Solve v = 2*m + 9, -2*v = -d*m + m - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1769 and 2069675161.\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.05 - 10.05. Let w = -12 - a. Is w greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 - f - 11. Let p be o(9). Suppose 3*u - p = 71. Suppose 106 + u = 3*k. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/13, 4\/5, 0.7, 3619257?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 196888135013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3*s**3 - 22*s**2 - 14*s - 11. What is n(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 17 + -8. Suppose 4*x - k*x = -50. Let a(n) = 4 + x*n - 4 - 11*n. Let o(h) = 3*h**2. Calculate a(o(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -0.2 (c) -287\/29 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -506*z**2 + 27328*z - 211. Calculate m(54).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of 1\/4*f**4 + 34 - 5*f**2 - 9*f - 10\/3*f**3. Determine z(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26 at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k = 22 - 26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1\/831 + -49022\/5817. Calculate the common denominator of g and 0 - -1 - 93\/(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 2*j + 0*j + 0*j - 2. Let r be a(4). Suppose 4 = 2*b - r. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7 + 1 - 4*r**4 - 2*r**3 - r**3 - r - 7 in the form y*r + a + z*r**3 + k*r**2 + j*r**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -36, -31, -28, -27, -28, -31, -36?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:18 PM and 3:45 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.16 + 0.16. Is g bigger than 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1.6 (b) 2\/21 (c) 354 (d) 5 (e) -6 (f) -0.1 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -13492000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -85054, -85072, -85090, -85108, -85126?\n\"Answer: -18*o - 85036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 57 + -8?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 140 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1805.3 - 1805. What is the fifth smallest value in b, 2, -0.05, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + -3 + (-1 - 10) + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8101945489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the third derivative of 1\/30*b**5 + 7\/180*b**6 + b**2 - 1\/6*b**3 + 0 + 0*b + 0*b**4. Let q(w) be the first derivative of x(w). Factor q(n).\nAnswer: 2*n*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 270\/36*(0 + 210) + 1. What is the highest common factor of c and 1379?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - x**2 + 3*x - 2. What is the units digit of d(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1047 and 12506415?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 14 - 10. Let g(t) be the third derivative of -1\/8*t**l + t**2 - 1\/20*t**5 - 1\/6*t**3 - 1\/120*t**6 + 0 + 0*t. Find i such that g(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**2 - 8*q + 9. Let u be l(6). Let s be (u + (-22)\/(-6))*183. What is the units digit of (-6)\/(-21) - s\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 6, -2\/21.\nAnswer: -2\/21, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26 - -39. Calculate the highest common divisor of a and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15189516 to the nearest integer?\nAnswer: 3897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**2 - 6*w - 4. Let r be f(7). Let b be 1\/(r\/18) + -4. Find g, given that b*g**2 + 2*g**2 - 4*g**2 - 4*g**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-5))\/(515\/1030).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 21*k**5 + 1041*k**4 - 10425*k**3 - 8745*k**2 + 27504*k - 9396 = 0.\nAnswer: -58, -2, 3\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17334 - -17435. Suppose -8*a + 3*a + 497 = -4*q, 4*q = 8. Is a less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and -11.5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.05, 1\/3811, -0.3?\nAnswer: 1\/3811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 2 i when four letters picked without replacement from fpiffirmepmr.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 19553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -195*r + 3914. Determine h(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 AM and 7:24 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 4*w + 52, c + 3*w + 84 = -3*c. Find the common denominator of 3\/c + (-282)\/(-144) and -51\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 868\/(-248)*2*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3614 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -23*a - 28*a + 153 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**3 + 38*w**2 + 66. What is z(38)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a + 4. Let g be r(-5). Suppose -231 = -2*i - g. Is 36 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 67925 and 37050.\nAnswer: 407550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 2533 (base 13) to base 5.\nAnswer: 132111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1*3\/6 - (2 + -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Expand (4 + 5 + 0)*(-2*l**2 + 4 - 4)*(l + 295 - 145 - 159).\nAnswer: -18*l**3 + 162*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 0*h = -896. Let y = h + -224. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1878 times 36.15\nAnswer: 67889.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6238 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1\/3572943 + 181616265641\/28583544. Let i = h + -6362. Find the common denominator of -67\/2 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + -14 + (14 - 12) - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -0.394 at most -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-8 + 6)\/(2\/(-4)). Suppose -5*g - 7 = 3*l, 2*g + 0*l = w*l + 18. Let j = -141 - -143. Solve j*a - g = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 645092957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3817758.\nAnswer: 2, 3, 7, 17, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/75*5\/(-2))\/(1068\/890)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 20928749243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14564 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 + 1089?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -220, -360, -594, -922, -1344, -1860, -2470?\n\"Answer: -47*c**2 + c - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be -104 + 4 + 1 + -2. Let j = -264 - -449. Let q = j + n. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1169796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1538*v**2 - 1538*v**2 + 512 - 2*v**3.\nAnswer: -2*v**3 + 512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-3\/8)*g)\/g)**(-47)*g**(2\/15)*g\/g**(-12) assuming g is positive.\nAnswer: g**(3691\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*r = v + 34, -38*r + 2*v = -40*r - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of 4*p**2 - 7*p + 2 + 10 - 4*p - 2 + p**3. Is r(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -30281\/20 + 1519. Find the common denominator of z and (-72)\/(-32)*(-13)\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2469 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4967704 and 2107?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 87655674487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3.8430075 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 3*g = -43, -g + 708 = -2*g + 694 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 4*s - 2*s. Let g(w) be the third derivative of -1\/40*w**6 + 0*w + s - 2*w**2 + 0*w**5 + 0*w**4 + 1\/210*w**7 + 0*w**3. Factor g(z).\nAnswer: z**3*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 5 - 6*u**2 - 2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -62*k + 70*k**2 - 210*k**2 + 73*k**2 - 1850 + 70*k**2 wrt k.\nAnswer: 6*k - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum -5 and -0.378.\nAnswer: -5.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3820 - 48*o**3 - 3811 - 3812 - 779*o**3 + 11443.\nAnswer: -827*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 1587 divide 6082971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 3*n**2 - 2*n + 3. What is f(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -166322*y**3 + 205*y**2 + 23*y + 1 wrt y?\nAnswer: -997932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/(-1))\/((-16)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7130 - -7280. Calculate the remainder when 618 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1\/(-2) + 0)*-26. Let f = o - 21. Let r(q) = -q**3 - 7*q**2 + 4*q - 8. Does 12 divide r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2*l**2 + 42*l - 21. Let n be x(-21). Which is smaller: -20 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 816392 (base 12) to base 7.\nAnswer: 23121632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (7 + -2)*1*5. Let a be (-3)\/(42\/(-98)) - 2. Solve -n - 18 = 3*x, a*n = x - 3*x - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -55, -129, -203, -277, -351?\n\"Answer: -74*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(11\/2)*n*n**(1\/2))**(1\/7) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (9\/5)\/((-7266)\/3460)*(-7)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11\/(55\/10))\/(1859\/507 + 5\/6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -154034 (base 6) in base 11?\nAnswer: -10416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -17\/318, -595, 0.1?\nAnswer: -17\/318","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.09427802 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence at when two letters picked without replacement from {w: 2, v: 2, a: 6, l: 5, t: 3, i: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -686136 < 3\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x + 3*x + 5*q - 34, x = -q + 10. Let f be 2 - 0*x\/(-64). Solve -3*c = -10 - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 3*r + r + 3800 = 0, -5*y + 3*r + 3805 = 0. Suppose -3*s = -4*i - 2237, -6*s + 5*s + 5*i + y = 0. Suppose -4*h = -193 - s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1389199, -1389038, -1388877, -1388716?\nAnswer: -1388555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 57286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -854 = -111*n - 2408. Sort -2, -27, n, 4 in decreasing order.\nAnswer: 4, -2, n, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 13094618 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -9*a**2 + 8 - 8 - 2*a**2 + a**2 + 0*a**2 + (2*a - 4*a + 3*a)*(0 + 2*a + 0) + 3*a**2 - 2*a**2 + a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 123 - 123. Which is the nearest to t? (a) 2\/3 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -88228\/157 or -561?\nAnswer: -88228\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 3) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q**2 + 2*q - 1. Let m(u) = -51*u**2 + 48*u - 24. Let b(d) = -24*f(d) + m(d). Let n(t) = -11*t + 20. Determine b(n(r)).\nAnswer: -363*r**2 + 1320*r - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 12*k**4 - 8*k**2 + 5*k + 31. Let s(x) = -13*x**4 + 9*x**2 - 6*x - 32. Let u(l) = 5*s(l) + 6*v(l). Differentiate u(j) with respect to j.\nAnswer: 28*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-7 - -9) + (7\/(-2))\/7*-2. Solve -q*n - 1 = -10, 0 = 4*o - 5*n + 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 767 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**2 - 4 + 14 + 4*l + 0 - 10*l. Let b be g(4). What is the tens digit of 1014\/11 - 7\/77*b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 8*c**3 - 5*c - 33. Let x(q) = 9*q**3 - 4*q - 32. Let w(u) = -5*x(u) + 4*y(u). What is the first derivative of w(t) wrt t?\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 80801039 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -7, -1, -453, 1 in ascending order.\nAnswer: -453, -7, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2636 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-2\/5)*t)\/(t\/(t**(-5)*t))*((t**(5\/3)\/t)\/t*t)\/(t*t**(1\/12)*t*t))**(1\/6) assuming t is positive.\nAnswer: t**(-349\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -4*u - 3*l, -5*u - 3709 = -9*l - 3621 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 6, s: 2, n: 1, w: 2, e: 3, u: 5}. Give prob of sequence zss.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(-2\/9))\/(t*t**(-2\/29)) assuming t is positive.\nAnswer: t**(76\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-190)\/40)\/19*18*(-168)\/54?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 3*p - 4. Let f = 8 - p. Let u be f*1*10\/4. Solve -3*v + 0*v = -3*w, 0 = 2*w - 5*v + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 - 166*x**2 + 63*x + 37610. Calculate j(-165).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:27 PM and 8:43 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 100 and 1580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the third derivative of -13*k**10\/5040 - k**6\/90 - k**3 + 2*k**2. Let d(m) be the first derivative of l(m). Find the third derivative of d(b) wrt b.\nAnswer: -1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*z - 28*z = -5*y - 1, 4*y = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 22 = -3*n, n = -2*n + 4*x + 34. Suppose -10 = -2*a + 2*v, 0 = -a + 2*a - 2*v - n. Suppose -3*d + 7*d = -8. Put -3, d, a in decreasing order.\nAnswer: a, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (3*sqrt(50) - sqrt(50))\/sqrt(10) + 4 + ((-2*sqrt(30)*1)\/((sqrt(36)\/sqrt(2))\/sqrt(3)))**2.\nAnswer: 2*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**2 + 77*i + 1364. Determine j(-49).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70 = 2*d + 5*d. What is the remainder when 50 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 4*y**2 + y + 1. Let t be i(-1). Is 327\/5 + (-9)\/(-60)*t a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19393 is divided by 3876.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2319, 9275, 20877, 37143, 58091, 83739, 114105, 149207?\nAnswer: 189063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {b: 7, h: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/154 and -161\/198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that s**4\/5 - 338*s**3 + 15137*s**2\/5 - 13448*s\/5 = 0.\nAnswer: 0, 1, 8, 1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7665.\nAnswer: 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 4*c = 33, 5*w = 2*c + 20 - 71. Let q be (w - -3)\/(4*(-3)\/6). Find the third derivative of q*o**6 - 45*o**2 - 675 + 675 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/9 in -2\/13, -2\/1301, -3, -7?\nAnswer: -2\/1301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 6*b = 8*b - 67, -7*b + 107 = 3*w. What is the remainder when 1939 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-22*x**3 - 3*x**3 + 5*x**3 + 2)*(x - 5*x - 2*x) as t + j*x**4 + o*x + y*x**3 + q*x**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 0 - 3 = -2*u, -3*u - 2*a = -4. What is the units digit of (u - -56) + -9 + 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 608\/28 - (21\/7 + (-23)\/7). Let w(s) = 84*s - 5. Let l(t) = 17*t - 1. Give v*l(q) - 4*w(q).\nAnswer: 38*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 62826470 divided by -10.\nAnswer: -6282647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -4*s. Let m(q) = 3*q + 55394. Calculate h(m(a)).\nAnswer: -12*a - 221576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-2\/27)\/s**(-4\/9)*s\/(s*s**(-1\/3)*s)*s**(-5\/3))**(-2\/15))**(-25) assuming s is positive.\nAnswer: s**(-530\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 14) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1442492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that n**2\/5 - 2229*n\/5 + 4454\/5 = 0.\nAnswer: 2, 2227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 790936171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 697350*b**3 + 8*b + 9852550 wrt b.\nAnswer: 2092050*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 288*d = 55*d + 3177 - 8769 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00009269 to 6 decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6329077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.71, -1, -3?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-2138)\/(-6414))\/((-3)\/(-5))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(243) + 4*(sqrt(24)\/sqrt(8) - sqrt(3) - sqrt(3)))**2*-2 + 0 + -4.\nAnswer: -2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1656 and 100902.\nAnswer: 27848952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a**3 - 2*a**3 + 0*a**3)*(-4 - 3 + 4)*(-4 - 4 + 5).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 75320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 2, -7*b + 3*b + 4*a + 20 = 0. Find the third derivative of -15*h**4 - 11*h**2 + 15*h**b + h**2 - 3*h**6 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-200)\/14 + (-4)\/(-14). Let j be 53\/5 - (-9)\/(-15). Let l = j - y. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 divided by 12788007?\nAnswer: -3\/4262669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the second derivative of n**4\/6 + n**3\/2 - 31*n**2\/2 - 36*n. Let z(x) be the first derivative of m(x). Give z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -6*l + 18. Let v(n) = 2*n**3 - 3*n**3 - 2*n - 8 - 13*n**2 - 7 - 11*n. Let r be v(-12). Sort 0, l, r.\nAnswer: r, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 times 31.595\nAnswer: 473.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3017 - -3037.49. Let q = t - 3.59. Let o = 16 - q. Round o to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23 + 19. Suppose -2*a = a - 15. Let r = n + a. What is the lowest common multiple of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8154?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/6 and 1146\/660 - (-6)\/(-10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 674 = -6*g + 638 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vnige. Give prob of sequence in.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -27 (b) -1.2 (c) 3 (d) 263\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 14*i**2. Let x(v) be the first derivative of -v**4\/12 + 9*v + 17. Let t(u) be the first derivative of x(u). Determine t(d(s)).\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-31)\/(-8) + -1*2 and 6\/4*10\/(-42).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 377.0774 weeks in hours?\nAnswer: 63349.0032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.205 - 11.816. What is d rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t - 2*t + 5*t)*(-t - 5*t + 4*t) + t**2 - 5*t**2 + 2*t**2 + t**2 + 0*t**2 + t**2 + 12*t**2 + 83*t - 83*t + (0*t + 0*t + 3*t)*(1 - t - 1).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 76 or -4049757?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*a**3*x**2 + a**3*x - 41*a**3 - a**2*x - 12092*a*x**2 wrt a?\nAnswer: 30*x**2 + 6*x - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 20764 - 5?\nAnswer: 20758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2532 and 40904460.\nAnswer: 40904460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 288 a factor of 1878624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3 - 35*y**2 - 288*y + 324.\nAnswer: -(y - 1)*(y + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 - (0 - -16 - -3). Let m = y + 21. Find the first derivative of -2 + 11*b**3 - b**3 - 3*b**m - 1 wrt b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3191 (b) 26\/5 (c) 470\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -2*j**3 + 2*j**2 + 2. Let m(l) = -2*l**3 + 3*l**2 + 2. Let a = -3 - 1. Let y(o) = a*m(o) + 6*k(o). Find the first derivative of y(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.19 - 0.19. Let y = 0.00000065 + u. Round y to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f + 3*f + 0*f)*(-1 + 0 - 2)*(-3 + 0 + 8).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-1)*(4 + -1). Suppose 0*s - s = f*l + 2, -6 = -s - l. Suppose 0 = -r + 6 + 5, -5*r + 49 = -3*n. Solve 2*j = -s + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 11429011 and -0.9.\nAnswer: 11429010.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -7775, -15643, -23511, -31379, -39247?\n\"Answer: -7868*q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18852.937805 - -18853. Let i = 0.0643 - y. What is i rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1344041340442 - -2?\nAnswer: -1344041340440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, b: 4, j: 3}. What is prob of sequence ju?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 7 - (-20 - -88 - (34 - (27 - 12)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x**5\/3 - 44680*x**4\/3 - 357397*x**3\/3 - 938134*x**2\/3 - 982792*x\/3 - 357376\/3 = 0. Calculate x.\nAnswer: -44672, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -92230*u + 95293*u - 8*u**2 + 8*u**2 + 1439*u**5 wrt u?\nAnswer: 28780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -2, 0.2, 1, -0.0516, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-42) - (-4)\/(-12). Let c = -0.02 + 0.22. Sort p, c, -0.1.\nAnswer: p, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 95637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00159602269 to six dps.\nAnswer: 0.001596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/3)*(h\/(h*h**(-2\/7))*h)\/h*h)\/(h**0*h*h\/(h**(-1)*h)*h*h*h) assuming h is positive.\nAnswer: h**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 451289610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**2 - 7*q - 6. Let n = 179 - 172. What is t(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((1*sqrt(500) + -3 - sqrt(500))**2 - sqrt(500)).\nAnswer: -54 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1028, 4620, 10600, 18962, 29700?\nAnswer: 42808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1408 and 528?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -12*c - 10. Calculate v(-6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(550) - (sqrt(550) - -3*sqrt(550))*-3)*3)\/(((sqrt(132)*-2)\/sqrt(3) - sqrt(44))\/((-2*sqrt(4) + sqrt(4))*-6)).\nAnswer: 2340*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/(-2) - (-59496)\/1608.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2*((-3)\/2 - -1). Suppose 0*g + 3*g - 3 = 3*f, -5*g = -3*f + q. Let d = 0.15 - 0.35. What is the closest to d in 1, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**4 + z**2 + z**5 + z**3 - 5*z**4 + 3*z**4. Let c(l) = 3*l**5 + 4*l**4 - 18*l**3 + 28*l**2 - 9*l. Let y(k) = c(k) - 4*s(k). Factor y(h).\nAnswer: -h*(h - 3)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-13*w - 7*w - w)*(698*w**2 - 949*w**2 - 995*w**2 + 9 - 9) to a*w + c*w**3 + k*w**2 + j and give c.\nAnswer: 26166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/sqrt(9) + 4 + (sqrt(45) + sqrt(45) + -4)**2 + sqrt(5).\nAnswer: -46*sqrt(5) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -109\/7*w**3 + 29\/7 - 201\/7*w**2 - 59\/7*w + 4\/7*w**4 = 0. What is w?\nAnswer: -1, 1\/4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 3*j**3 - 5*j**2 - 34*j + 18. Determine s(-6).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -3\/112064 and 9\/272.\nAnswer: 112064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 165*k*q**3 + 275*k*q**2 - k wrt q?\nAnswer: 990*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the first derivative of -7*c**2\/2 + 5*c - 4. What is the units digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1\/(-5) + 2219360\/550.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - 6*g**2 + 6*g. Let p be c(-7). Let n = 11 - p. Is 10 a factor of -3 + n\/((-8)\/(-58))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1334010 and 4158084?\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 2 u when four letters picked without replacement from iuaiiaiiuii?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes after 10:50 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(25)\/(sqrt(20)\/sqrt(4)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 180 = 28*j - 13*j. Calculate the greatest common divisor of 114 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1536 times -1491\nAnswer: -2290176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 35017 and 32490?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 504779716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5760849839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (-20)\/(-8) - (-3 - 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 45 - 120*f**3 - 131*f**3 + 15*f**3 - 288*f**3 wrt f.\nAnswer: -1572*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 + a**2 - 1. Let x(j) = -9*j**4 + 7*j**3 + 284*j**2 - 2. Let h(b) = -2*v(b) + x(b). What is the third derivative of h(i) wrt i?\nAnswer: -216*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -66*-44893\nAnswer: 2962938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -7723000 rounded to the nearest 100000?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*d**3*s**2 + 2*d**3*s - 5*d**3 + 13*d*s**2 wrt s.\nAnswer: 12*d**3 + 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.17 (b) 7\/9 (c) -6 (d) -3 (e) -534\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 63426 and 4554.\nAnswer: 4376394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -4*a + 2. Let y be b(4). Let r = 17 + y. Suppose r*m - 51 = c - 17, -4*m + 2*c + 44 = 0. Solve -8 = 4*v + m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 - 4.9. Let p = 8.7 + -9. What is the closest to f in p, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 443 or 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 + 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5300 + 8959. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -32.365277 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-23)\/(-46))\/((-39)\/18).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3885*n**2 + 920*n**3 - 1215*n**3 - 9610 + 1765*n - 5*n**4 + 12030*n = 0. Calculate n.\nAnswer: -31, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -338, -674, -1010, -1346, -1682?\n\"Answer: -336*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*u + 25 - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 324872315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o = -5*l + 4, 166 = -774*l + 698*l - 2*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 8522.261 millennia in decades?\nAnswer: 852226.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1307565?\nAnswer: 3, 5, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -103, -121, -153, -199, -259, -333?\n\"Answer: -7*b**2 + 3*b - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2\/3 + 3550*t\/3 + 125000.\nAnswer: -2*(t - 1875)*(t + 100)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1.6 (b) -12219 (c) 0.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + 7. Suppose -x + w*x = 15. Suppose -2*f + x*s = -6*f + 8, 0 = 3*s. Solve -f*a + 4 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 30487*d**3*p**3 + 7*d**2*p**3 + d**2*p + 6*p**3 wrt d?\nAnswer: 182922*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + t - 2*s = -53, 3*t + 2*s = -73. Let u be (1 - (-54)\/8)*4. Let i = u + t. What is the greatest common factor of 40 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 - -9. Let r(k) = 14*k**2 - k. What is the remainder when 43 is divided by r(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -7*h**2 - 649*h - 464. Give z(-92).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 28 (b) 3.2 (c) 0.3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 199, 399, 599, 799?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, v: 1}. What is prob of sequence eve?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 33124475 greater than or equal to 33124448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*s**3 + 150*s**2 - 150*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 5*w**2 + 10*w - 12. What is the units digit of x(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence czd when three letters picked without replacement from {u: 1, c: 1, g: 2, d: 1, f: 6, z: 5}?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 2*x. Let a(k) = 161303*k. Determine a(t(l)).\nAnswer: 322606*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 195 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 - -35. Calculate the remainder when 185 is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 158325*b**3*v**2 + 2*b**3*v + 55176*v wrt v?\nAnswer: 316650*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 102 and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 7 = 3*b - 25, 11*h - 8*h - 30 = -5*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (11\/11)\/((-10)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 + 15. Suppose 5*p + 0 - 6 = -d, 2*d = s*p + 12. Let i = -7 + 23. Calculate the remainder when i is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21 minus 11.1?\nAnswer: -32.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 2071, 1\/2, -1\/9, -2, -4, 1 in decreasing order.\nAnswer: 2071, 1, 1\/2, -1\/9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 30*p + 47 - 47 to s*p + b and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**3 - 491664*y**2 - 5899536*y - 17698176.\nAnswer: -4*(y + 6)**2*(y + 122904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*c = -5*u - 113*c + 17, 0 = -3*u - c + 34. What is the remainder when 41 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3.2 + -3.26. What is the smallest value in a, -1\/5, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 1. Let h(k) = 2 - 2*k + 4 - 5. Suppose -2*w = -4*t + 6, -6 = 4*t + 5*w - 5. Give t*h(v) + 3*x(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 - ((-6)\/(-27))\/(56\/42). What is the fourth biggest value in -5, 0, 4, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 3*f = 17 - 1, 4*f = 12. Let x(d) = d + v*d - 3*d. Let t = -1 + 0. Give x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 420816 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 372202 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 PM and 5:16 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 167 - 1333\/8. Let k = y + -17\/24. Sort k, 5, -1\/2.\nAnswer: -1\/2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 123 divide 5099004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*y**2 - 514*y**3 - 3*y**2 - 2*y**2.\nAnswer: -514*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17*12\/714)\/(24\/(-14))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 221017273 to the power of 1\/2, to the nearest integer?\nAnswer: 14867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26185 - -69295.816.\nAnswer: 95480.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11504 is divided by 262.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 307 = -3*s, s - 5*m + 311 = 4*s. Let r = -6 + s. Calculate the smallest common multiple of 3 and r.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -22981*z**2 - 25115.\nAnswer: -45962*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 2*l**3 - 226 - 370 + 510 - 446 in the form j*l**2 + m*l**3 + q + g*l and give q.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -11*m**2 - 85*m - 19. Calculate s(-6).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2380721 and 3741133.\nAnswer: 26187931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 199 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1796733438?\nAnswer: 2, 3, 299455573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 82c (base 15) in base 8?\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p**3 - 1867 - 1428 + 2970.\nAnswer: 2*p**3 - 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) -8 (c) 7\/6 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -3560*t + 14. Let k(s) = 9070881*s - 35670. Determine 7*k(n) + 17835*x(n).\nAnswer: 3567*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 3*g**2 - 45*g - 48. Let w(s) = 4*s**2 - 68*s - 72. Let x(u) = -8*d(u) + 5*w(u). Determine h, given that x(h) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 288 + -305. Let b(w) = -w**2 - 5*w + 2. Let j be b(-5). Let h be -15*(5 + -3)\/j. Is z greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2230 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + (-3 - -3) - 26*377. What is h rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cvvvvvvvvccvvvvv.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j**2 + 7194964486*j - 7194964486*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12260 is divided by 280.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -31 - -115?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**3 + 3*y**2 + 3*y + 7. Determine i(6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, 5, 7, -3 in ascending order.\nAnswer: -9, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = -12*v + 14*v - 5*s, 4*v - 4*s = 92. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5885 or -5866?\nAnswer: -5885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-294))\/(129*297\/119196).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 7*g**2 - 33*g - 16. Let o(r) = -4*r**2 + 17*r + 12. Give -3*j(p) - 5*o(p).\nAnswer: -p**2 + 14*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 40 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 5593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 21860018, 21860016, 21860014, 21860012, 21860010, 21860008?\nAnswer: 21860006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -4*b - 6. What is the tens digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 0*u + 2*a = -32 + 73, 4*u = 2*a - 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 245768305 < 245768305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -1270117 * 95.\nAnswer: -120661115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 - -15. Suppose -4*v = p + 11, 0 = -3*v - b*p - 3 - 1. List the prime factors of (-2)\/1*(v - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 219346\/85 + -2580. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3\/7, -4\/5, 0.9, -0.0327?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23*-375.28.\nAnswer: 8631.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6359 and 503?\nAnswer: 3198577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - b**2 - 1087*b + 3303. Determine g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (1*(sqrt(567) + -1)**2 - -3*(sqrt(567) + (sqrt(567)*2 - sqrt(567)))**2) + -3.\nAnswer: -18*sqrt(7) + 7365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2819173978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 + l - 1. Determine h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.600937 - 2.400916. Let k = z - 1.2. What is k rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 2 = -2*o + 2, 0 = -5*x - 4*o + 17. Let a = -2 + x. Put 0.4, 1\/3, a in decreasing order.\nAnswer: 0.4, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*b**4 + 0*b**4 - 2*b**4 + (-88*b**3 + 120*b**2 - 120*b**2)*(-4 + b + 4) - 2*b**4 - 4*b + 4*b to o + p*b**4 + d*b + c*b**3 + q*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -234 - -238. What is the third smallest value in -4, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -18) + -75 + 73 + -18 - -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f - 3 + 35. Let y be ((-2)\/(-4))\/((-2)\/f). Let r = y + 12. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-21)\/234*(-19)\/(1729\/325) and 67\/42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 + -2. Let z = -11 - w. Let m be (4\/2*-1)\/(91\/((-2730)\/180)). What is the nearest to 2 in m, z, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 54.1 + -52. Let u = a - 0.1. Let l = u + 2. Is 2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13328 is divided by 1103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - m = -3*m + 70, -m = -4*h + 85. Suppose 0*n - h = -4*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7162.\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-20)\/x*x*x*x*x**(-1\/19) assuming x is positive.\nAnswer: x**(-343\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12 in -0.128, 1\/3, 5.996?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (29 - 49) + 31 - -15?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**3 - b - 2. Let c be a(2). Let n(s) = -2*s - s - 3 + 5*s. Calculate n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4285\/578143 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -85 = 179*i - 174*i, 4*i + 73 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - (-15984)\/(-1134) - (3 + (-649)\/(-21)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3020 = 5*n + 5*n. Let v = n - 191. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(77)*-3 - sqrt(77)) + sqrt(77))\/sqrt(7)*-3)**2 - (-2 + sqrt(11) + -5 + 2)) + -1.\nAnswer: -sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t. Let r(m) be the second derivative of -1\/12*m**4 + 0*m**3 + 0*m**2 - 6*m + 0. Calculate r(p(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - -5 - (-2 - (-1 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 37.72702 millennia in years?\nAnswer: 37727.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*x + 148 - 148)*(-x**2 - 4*x**2 + 3*x**2 - x**2 - 3*x + 3*x + (-x - 3 + 3)*(-2 + 2 + x) + 5*x**2 - 5*x**2 + x**2 - 1 + 2*x**2 + 1).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 260289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*l + 7*l = -234 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 852304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o**3\/5 - 8018*o**2\/5 + 89408*o = 0. Calculate o.\nAnswer: -4064, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the third derivative of -95*x**9\/28 - x**7\/105 + x**5\/30 - 695*x**3\/6 - 2213*x**2. What is the third derivative of c(a) wrt a?\nAnswer: -205200*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of 0*y**5 + 0*y**4 - 27 + 8*y**2 + 13\/6*y**6 + 0*y**3 + 0*y. Find the second derivative of m(s) wrt s.\nAnswer: 260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 11 = -3*c - u, -2*c + 13 = -u. Let y be c\/20 - (-9)\/5. Let b be 1\/6*y*6. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -65*j**3. Let d(k) = -k**3 - k**2 + k - 4. Let w(c) = -24*c**3 - 22*c**2 + 22*c - 88. Let o(b) = 88*d(b) - 4*w(b). Determine -5*m(t) - 39*o(t).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 41616623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -131 - -77876?\nAnswer: 77745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-152)\/1900)\/(2\/(-5) - 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -107099448 divided by 26774862.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20 and 43140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + -1. Suppose -2*s + c = 3 - r, 0 = -3*s + 4*c + 1. What is the derivative of 4*q**4 - 7*q**4 + 0*q**4 - s wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 2*t**2 - t - 1. Let i be (1 + -3)*2\/4. Let k be s(i). Suppose 9 + 1 = 2*h - k*w, -h + 7 = -3*w. Solve 3*x + h = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 60224 by -3950.\nAnswer: -30112\/1975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1578 or -1579?\nAnswer: -1578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 94272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 10 divided by -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15920\/597*(-8 + 20)\/(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -122*a. Let j(o) = 91*o + 14. Give l(j(f)).\nAnswer: -11102*f - 1708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = 4*b - 30. Let w be -1 + (15 - 0)\/5. Solve 2 = 5*o - 4*a - 35, b*o - w*a = 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is w in w**5 - 3244*w**4 + 105781*w**3 + 584102*w**2 + 963148*w + 488072 = 0?\nAnswer: -2, -1, 38, 3211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 1) + 1 + -2. Let v be ((-2)\/5)\/(m\/10). Find b such that 3*b**3 - 4 - v*b**3 - b + b**2 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the third derivative of z**5\/20 + z**3\/2 - 9*z**2. Let u be c(0). Solve u*t = -4*g - 13, -5*g = 2*t - 3*g + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 34 - 14*o - 34. Let p(u) = -2*u. Calculate p(z(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 7. Solve 3*t + 3*a + 1 = 7, 2*t - a - 1 = c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 106 - 72*j + 108 - 214 - 175*j to the form n + d*j and give d.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*f + 52 - 42 = -438 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 7, -0.3, -1, 4, -0.4, 3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of 5*p**4\/12 - p**3 + 5*p**2 + 31*p - 13. Give u(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 123 or 618\/5?\nAnswer: 618\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1619128361 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 52*p**2 + 1. Let z be f(-1). Let w = z - 11. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 197*w**3 - 3681*w wrt w?\nAnswer: 1182*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + 3 - (5 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 + 18 = -5*z. Let y = 20 + z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-97*n - 327*n - 78*n)*(-6 - 1 + 5).\nAnswer: 1004*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 64333289591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f**2 + 14*f - 9. Let u be i(13). Let t be (-1)\/3 - 43\/u. Let l = -7\/660 + t. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b - 16328 = -4*k - 9*b, 3*k - 12257 = -5*b. Suppose 1905 = 3*i + 4*y, 5*i - k + 915 = -3*y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/25*(-2100)\/1120*24\/(-27)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2201.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1305\/16 + 1697\/16. Let t(r) be the first derivative of 14\/3*r**3 + 0*r + v*r**2 + 1\/4*r**4 + 36. Solve t(d) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96)\/(sqrt(12)*-4) + (sqrt(8) - sqrt(96)\/(2*sqrt(12))))\/((sqrt(196) + -2*sqrt(196)*-4 - sqrt(196))*-5).\nAnswer: -sqrt(2)\/1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**3 + b**2 - b**2)*(-2 - 2 + 5) + (2*b**2 - 7*b**2 + 2*b**2)*(-b + b - 2*b) + 2*b**3 - 12*b**2 + 12*b**2.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -i - 33, 3*f + i - 53 = 6*i. Let n(m) = 2*m**2 + 5*m**3 + 3*m + 19 + 0*m**3 - f + m. Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 4 (b) -2\/3 (c) -1\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/120 and (18\/(-400))\/((-192)\/7360).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11100100011010000 - 100000?\nAnswer: -11100100011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 531674 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -30, -74, -2, 51, 5 in ascending order.\nAnswer: -74, -30, -2, -1, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(-60)*-4)\/(4\/(24\/10)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 18918*d - 2*r = 18922*d - 90, -80 = -3*d - 4*r for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4161326 is divided by 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -6*f - 29. Suppose 5 = -5*u + 30. Let q be -2 + 4\/2 - u. Is f equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5847 + -34?\nAnswer: -5882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 127*n**2 + 59*n - 96. Let u be t(2). Calculate the highest common divisor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of -5 - 8*j - j**4 + 2*j**2 + 8\/3*j**3. Factor v(r).\nAnswer: -4*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 116041*p - 660 = 116008*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 2 = 0, 0 = c + 5*v - 4 - 5. Let j be (c\/(-5))\/((-16)\/40). Factor -1\/6*y + 0 - 1\/6*y**j.\nAnswer: -y*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = 4*t + 459980, -d - 4*d + t - 1150005 = 0. What is d rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 210944828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1292159 - 1292167 - 5*j + 5168654 - 1292163 - 1292165.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -9587 + 4807 - 2*r + 5139 + (0 + r + 0)*(-4 + 2 + 0).\nAnswer: -4*r + 359","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**3 - 13*z**2 + 12*z + 107. Let y be v(11). What is the closest to y in 3, -11, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 3*q + 19 = 0, 18 + 19 = 4*h + q. What is the hundreds digit of (2924\/h)\/(4\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 410 and 54770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 36423987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 410551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 777 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 6)*(-6*p + 3*p**3 + 6*p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-12)\/(-60))\/((-14)\/5). Let h = c + 11\/7. Factor -3\/2*w**3 + 3\/2*w + h*w**2 - 3\/2.\nAnswer: -3*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -470*t**2 + 1649*t + 4721565 wrt t?\nAnswer: -940*t + 1649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*y**4 + 120*y**3 + 1152*y**2 + 3456*y.\nAnswer: 4*y*(y + 6)*(y + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the third derivative of a**6\/60 - a**5\/30 - a**4\/6 - 2*a**3\/3 + 2*a**2. Let o(j) = 2*j**3 - j**2 - 3*j - 3. What is 3*n(f) - 4*o(f)?\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*w + 35*w + 33*w - 474188. What is the remainder when w is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -46571, -46574, -46581, -46592?\nAnswer: -46607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 453 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1 - -25604?\nAnswer: 25605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the first derivative of 13\/3*s**3 - 8*s**2 - 9*s + 1\/4*s**4 - 11. Is i(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes before 4:58 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zvvttlb. What is prob of picking 1 z and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1)\/(-6) - (-23647)\/102?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 - 3*l**2 + 7*l - 11. Let j be p(-5). Solve 0 + j = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 33*s - 48 = -37*s, -5*b + 3*s + 55 = 0. Solve 0 = 4*q - 3*v - 23, b*q + 2*v = 17*q - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (27*14\/(-1197))\/(-2).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -16126 divided by 21545\nAnswer: -16126\/21545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -52*196037\nAnswer: -10193924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1101010000011110001 (base 2) in base 10?\nAnswer: 434417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/sqrt(2)*2 - (sqrt(19) - ((-1*sqrt(76)\/sqrt(4))**2 - sqrt(19) - sqrt(19))).\nAnswer: -sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 + -6. Let w be ((-6)\/b)\/(-6 + 5). Suppose -w = 3*t - 18, 5*d = 3*t + 50. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h - 4*j - j + 1475, 615 = -2*h - 3*j. What is the units digit of (6\/9)\/((-8)\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173\/(2\/5*130\/7748) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -40, -55, -96, -175?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.021571*-0.1.\nAnswer: 0.0021571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1872) - (-2 + sqrt(1872) + 4))*5 + (sqrt(1872) - (1 + sqrt(1872)))*5 + 0)*6)**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 - 10b7a?\nAnswer: -10b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, b: 1, j: 2, i: 2, k: 6}. Give prob of sequence jss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 88658.27394 + 34838?\nAnswer: 123496.27394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 - 9*w - 316. What is the lowest common multiple of ((-8)\/5)\/((-2)\/20) and d(-14)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2240*t = 2161*t + 869 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/690 and 83\/759?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 12*r**2 - 2. Let h be c(12). Let d be (5\/4)\/(h\/(-8)). Let a(y) = y**3 - 5*y**2 + 2. What is a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/(w**38*w))**(10\/3) assuming w is positive.\nAnswer: w**(-370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-10)*j)\/(j**(1\/4)*j)*j**8*j**(-20) assuming j is positive.\nAnswer: j**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add 0 and -3293224.\nAnswer: -3293224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + k = 75000. What is k rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -9160730.\nAnswer: 3\/9160730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -34992842 by -73.\nAnswer: 479354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 34*g**3 + 30*g**2 - 72*g + 8.\nAnswer: 2*(g - 1)*(g + 2)*(17*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 3*c**2 - 10*c**2 - 2*c**2 - 7*c**2. Let j(o) = 3*o**2 - 34*o. Let y(s) = -s**2 + 12*s. Let p(t) = 6*j(t) + 17*y(t). Give p(n(d)).\nAnswer: 256*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-20372288)\/(-407360) + -54 + 4\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (0 - 1 - 3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fww when three letters picked without replacement from {f: 6, w: 4, l: 7}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -5 + (-41 - -43).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s + v - 0 + 9, 5*s - 2*v + 4 = 0. Let t be ((-2)\/4)\/(s\/92). Suppose -227 = -5*h + t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1279 - 6391\/5. What is the nearest to 0.3 in 108, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26108 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -222 = -2*q - 2*z, -q + 106 = -3*z - z. Let o = 158 - q. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jkdpkkpjph. What is prob of sequence hp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 9) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1517, -1827, -2675, -4331, -7065?\nAnswer: -11147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 + 11. Let d = -0.55 + -0.05. Let h = 0.2 + d. Which is the third biggest value? (a) 1 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/10 and (-585)\/(-231) + (-2)\/(-11).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -767, -1466, -2165, -2864?\n\"Answer: -699*p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, 3, -1, -44, -9.\nAnswer: -44, -9, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**2 + 60*p - 1306. Let x be i(17). Suppose -2*h - 6 = -14. Suppose 7 = h*s - 9. Solve s = -3*k - 0*v - v, x*v - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - -0.04. Let b = 863.8 + -100.8. Let w = -764 + b. Is w bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 5*r**3 + 2*r**2 - 6. Let z(v) = v**3 - 1. Let s(f) = f**2 + 7*f + 1. Let g be s(-10). Suppose -g - 17 = 8*h. Calculate h*z(n) + m(n).\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h - 5*z + 2 = -3*h, 0 = -z - 5. Let y be ((-2)\/9)\/((-6)\/(-18)). Let f = -0.3 - 0.2. Which is the third biggest value? (a) h (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes after 5:39 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8.8 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 130 (base 6) in base 3?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p = -5*p + 3*p + 4*x - 77, 74*x - 1357 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.094 + 0.406. What is the nearest to 0.1 in 5, f, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:59 AM and 3:36 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/469? (a) 0.4 (b) 37 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 14 = 5*l. Let s = 38 + -8. Suppose -s = -2*v + l*a, -a - 37 = -3*v + 3*a. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1031 + 24458. Suppose -60800 = 4*z - j, -2*j = 3*z + 22173 + d. Round z to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 2*d**2 + 3*d + 1. Let p = 37 + -39. Let y be q(p). Suppose 5*b - 10 = 2*l + 16, y*l + 1 = -2*b. Solve -5 = -b*o - 3*s, -4*o = s + s - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*11963.\nAnswer: -1196.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-6)*r**(-5\/4))\/(r\/(r\/r**(1\/2)))**37)\/((((r\/r**4)\/r)\/r**(-3\/2))\/(r**(-2)\/r**3)) assuming r is positive.\nAnswer: r**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -7*v**2 + 64*v - 14. What is m(7)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-4 + sqrt(288) + (-5 + 2 + sqrt(288) - sqrt(288)) + sqrt(288))*3*1*1 + -4)**2.\nAnswer: -50688*sqrt(2) + 173632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 914828.2 days?\nAnswer: 79041156480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3\/2 + -29\/18. Let v be -1 + ((-4108)\/(-240) - 0). Let u = v - 65\/4. What is the second smallest value in z, u, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 2)*(-2*s**4 + 5*s**4 - s**4) + s**4 + 1 - 1 - s**4 + 2*s**4 - 6*s**4.\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 210 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14 and 71113.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1*6)\/(((-99)\/(-12))\/(-11)). Let j(y) = y**3 + 10*y**2 + 10*y - 9. Determine j(n).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 411 + -407. Suppose 6*k + d*k = 0. Let j(c) = c**2 - 4*c - 1. Let b be j(5). Solve k = 2*f - 3*h - 6 - 1, -b*f = 5*h + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 3*f**2 - 16*f. Let p(d) = 3*d + 115. What is m(p(r))?\nAnswer: 27*r**2 + 2022*r + 37835","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 26 - 52. Let l = 34 + r. Suppose x - 2 + l = 0. Let p(h) = -h - 2. Calculate p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5786 + 5788. Solve -3*u = g*x - 17, 16 = -171*x + 173*x + 2*u for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -5 (b) 1569424 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 1080*y**2 + 38879*y - 35. Calculate q(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/22 + 544\/(-88). Let u be (2\/3)\/(2\/q). Let m be (-41)\/(-5) - u\/(-10). Solve -2*y = m, 5*b - y = 2*b - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 640936 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -4*l - 12. Let t(d) = 7*d + 25. Let r(b) = 5*q(b) + 3*t(b). Let o be r(-14). Solve z + o - 6 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s**7)*s*s**(2\/13)\/s*s)**(-4)\/(((s*s*s**(-2\/9))\/s**(-3))\/(s*s**(-1\/3)*s*s*s**(-2\/9))) assuming s is positive.\nAnswer: s**(821\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -402 - -1512. Let r = -749 + y. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1557, 1666, 1953, 2502, 3397, 4722?\n\"Answer: 14*d**3 + 5*d**2 - 4*d + 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-4)\/10)\/((-11)\/(-110)). Let v = n + 4. Suppose v*i + 75 = 5*i. Calculate the remainder when 27 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - (-7 - -4)) + (-2 - 2) + -16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(1100)*-2)\/(sqrt(12)\/sqrt(3)*3 + sqrt(4)).\nAnswer: -5*sqrt(11)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3024750 divided by 222\nAnswer: 13625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be -26*((-9)\/(-6) - 2). Let w = -19 + u. Is -7*2*39\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h**(-1))**18*((h*h**2\/h)\/h*h)\/h*h\/(h**(-2)*h) assuming h is positive.\nAnswer: h**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3532*r**3 + r**2 + 7059*r**3 - r**2 - 3526*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4.2, 0.3.\nAnswer: -4.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 101 (base 2) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:19 AM and 3:31 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1734989776 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + c - 17 = -3, -l - 5*c = 0. Is (-184)\/(-20) - 1\/l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -30 + 37. Let l be (-2)\/(-8) + (-81)\/(-12). Let k(b) = -b**2 + 8*b - 4. Let t be k(l). Solve -5 = t*w + x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 114 by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8853654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*a**4*y - a**4 - 476*a**3*y - a**3 - a**2*y - 33*a**2 - 31*a*y - 2*y wrt a?\nAnswer: -72*a*y - 24*a - 2856*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 3*t + 4 + 4, -5*y = 3*t + 2. Solve 2*a = a - y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - -9. Let g = -10 - -16. What is the units digit of (-1 + g)*8\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + 0. Suppose j = -0*s - 3*s + 9. Let p(n) = -12*n + 1. Let d(a) = -a. Let w(r) = 22*d(r) - 2*p(r). Calculate w(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i**3\/6 - 26*i**2\/3 - 107*i\/6 - 9 = 0. What is i?\nAnswer: -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 341159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*m + 4*d, -m + 2*d + 8 = -d. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k = -2*k + 10. Let w = 4 + k. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qj when two letters picked without replacement from {w: 3, j: 2, z: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20 + -20. Suppose w = 4*j - j - 108. Calculate the greatest common factor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 PM and 4:36 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 20 = -0*d + 2*u, d - 4*u = 22. Let s = -419 + 418.5. Sort d, 0.4, s.\nAnswer: s, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 32*j**4 - 11*j**4 - 13*j**4 + (j**2 + j**2 + 0*j**2)*(3*j**2 - 6*j**2 + 0*j**2).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/83, -0.0012, 5, -2.\nAnswer: -2, -0.0012, 2\/83, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -6443 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (-42)\/(-280)*26.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-290)\/(-15) - 2\/6. Suppose -k = -2*y + 3*y + 3*x, -4*y - 6 = -2*x. Let b(q) = -q**3 - 3*q**2 - 4. Determine b(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*h + c + 3*c - 41 - 118 - 17 = 0, 3*h + 5*c + 20 + 42 = 0 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 15*y + 8 - 2*y**2 - 11*y - 16*y + (0*y - 5*y + 3*y)*(0*y + 4*y - 5*y) + 3*y**2 - 9*y**2 + 2*y**2 + 0 + y**2 + 0 + (2*y - y - 2*y)*(-4*y + 3*y + 3*y).\nAnswer: -5*y**2 - 12*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -113464 + 59*x - x**3 + 113464 + 0*x**3 + 2*x**3 + 0*x**3 + (-2*x + 3*x - 3*x)*(-x**2 - 2*x**2 + x**2) + 3*x**3 - 3*x**3 - x**3.\nAnswer: 4*x**3 + 59*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (171\/(-1))\/19*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4921 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-3)*3\/(-8). Which is the closest to -0.1? (a) -2\/3 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of u**5 - 67*u**4 - 599*u wrt u.\nAnswer: 20*u**3 - 804*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 450216 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 15 by 356.\nAnswer: 15\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11299\/93 - -361\/3. Calculate the common denominator of s and 47\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1859510*p**2 - 1253381*p?\nAnswer: -3719020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -11 (c) 35 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1597, 1, -2 in ascending order.\nAnswer: -1597, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {b: 5, u: 1, r: 2, d: 2, o: 5, l: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 68 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 345 - 0. Suppose r*m = 340*m + 6160. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*v + 112*v - 5*i + 50 = 0, v + 4*i - 25 = 0. Let g = 34 + -21. Suppose -5*w - v*l = -20, 3*l - g = -4*w + 2*l. Solve 0 = -2*y + w*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1324 + -0.101?\nAnswer: 0.0314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 0.3, 0.5, 3, -2\/4177 in decreasing order.\nAnswer: 3, 0.5, 0.3, -2\/4177, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 83 = 248. Suppose -2*l + 3*k + j = l, -l + 31 = 4*k. Suppose l - 37 = -n. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 823919, 1647839, 2471759, 3295679, 4119599, 4943519?\n\"Answer: 823920*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + (4 - 44) + (3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 745404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 1915088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 10*v**2 + 7*v - 7. Let d(z) = -3*z**2 - 2*z + 2. Let b be (0 - 2)\/(2\/7). What is b*d(o) - 2*t(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -216 + 1297\/6. What is the smallest value in v, 0.1, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 - -3. Suppose -5*j + 14 = -21. Calculate the remainder when j is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -11686 + -345?\nAnswer: -12142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-3)*t\/t**(8\/5))\/(t*t**5*t**(1\/4)))**(-17\/2) assuming t is positive.\nAnswer: t**(3349\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hpp when three letters picked without replacement from {l: 3, p: 2, h: 12}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 30734 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 2*t**2 + 25*t - 248. Let j be o(7). Solve -69*u + j*u - 308 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1523, 9098, 16671, 24242, 31811, 39378, 46943?\nAnswer: 54506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 11*c**2 + c + 39. Is k(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/3*3*1. Let r = 167 + -151. Put r, -3, l in decreasing order.\nAnswer: r, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9110 and 96566.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/10 + (-144)\/(-60). Let d(g) be the third derivative of 0 + 1\/60*g**5 + 2\/3*g**x + 1\/6*g**4 - 3*g**2 + 0*g. Suppose d(c) = 0. What is c?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-45)\/(-5)*((-24)\/(-18))\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 + 10*t + 15. Let p be j(-11). Let w = p - 16. Let f be 50\/5*16\/w. Solve 4*v = -a + 13, 4*a - f = -3*v + 2*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000012137564 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6384 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.41 + -7299.69.\nAnswer: -7300.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1563 + -1542. Calculate the smallest common multiple of 276 and a.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10650 and 29607?\nAnswer: 1480350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (-5 + sqrt(63))*-2 + -4*sqrt(252)*-1)**2.\nAnswer: 324*sqrt(7) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7630 and 28?\nAnswer: 15260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3786 + 18931\/5. Sort -1\/11, 3, -5, -1\/4, j in descending order.\nAnswer: 3, j, -1\/11, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 106 + -102. Let t be -1 - l - (-6)\/3 - -18. Suppose 3*m = c - t, c - 4*c + 3*m + 27 = 0. What is the remainder when 34 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, i: 2, n: 1, a: 1, g: 5, c: 7}. What is prob of sequence ii?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of c**5\/5 + 11*c**4\/4 + 74*c - 35. What is the derivative of r(g) wrt g?\nAnswer: 4*g**3 + 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 35 + 50 - 3*o + 6*o - 95. Give t(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.447*1150.\nAnswer: -514.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*y + 8*y = -5060. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 206961 and 1852?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 3)*(-2*r + 2*r + r) - 2*r - 7 + 7.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3 smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-16*t + 15*t + 265*t)*(-5*t + 113*t**2 + 22*t - 112*t**2 + 2) to the form o + z*t**3 + g*t**2 + m*t and give z.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*m**2 + 89*m**2 - 35*m**2 - m**3 - 33*m**2.\nAnswer: -m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 696\/59 - 415630\/35223. Let j = a + 23299\/4776. What is the common denominator of j and -5\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*t - 3. Find the first derivative of 7*s**2 + 3*s - t*s + 4 - 3*s**2 wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the first derivative of 80 - 9\/2*d**2 + d. Calculate c(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -35 - -80. Let x = -42.5 + f. Let o = x + -2.5. Which is the fourth biggest value? (a) o (b) 0.4 (c) 2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4104144 greater than or equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 9 = 7. Determine g so that 500*g**c + 2 + 3 + 54*g - 85*g - 69*g = 0.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-637)\/(-182)*4\/35. Which is smaller: 4\/303 or j?\nAnswer: 4\/303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*z - 15*z - 11*z + 38*z - 7*z.\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the first derivative of h**6\/30 - h**2 + 3*h - 3. Let a(o) be the first derivative of f(o). What is the derivative of a(i) wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 25134, 22224, 19312, 16398, 13482, 10564?\nAnswer: 7644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (9 - 11)*-1*1. Suppose 0 = 3*r - 2*n - 24, 41 = 5*r + 3*n + 1. What is the second derivative of w - 3*w**2 + r*w**p - 2*w wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8946394 divided by 4?\nAnswer: 4473197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of 1\/12*x**4 - 2*x**2 + 0 + 5\/6*x**3 + 4*x. Give p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7 - 186*r + 3 + 5 - 17 + 4 to l + f*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of -1*(-3)\/(-3)*-4 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18591285 + 18591285.89999944. Let f = -711.9 + 711. Let j = f + d. What is j rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 12\/21*(-17 + 3 - 26\/(-2)). Let j = -28.6 + 23. Let y = -6 - j. Which is the third biggest value? (a) l (b) y (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 157 and 12421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2106 and 1458.\nAnswer: 18954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1094272*i - 1094272*i + 5*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the second derivative of 7\/12*j**4 + 0*j**2 - 2\/3*j**3 + 0 - 11*j. What is the second derivative of r(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.09 - -3.91. Suppose s + r - 19 = 0, 5*s - 11 - 69 = -2*r. Suppose -2*i + 1 = -7, -3*i + s = -2*h. Which is the biggest value? (a) 3 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8135 - 10798 = 1292*s + 19827 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2259318119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16.3 + -0.3. What is the nearest to 1 in z, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {s: 1, q: 1, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 53\/5 of a decade?\nAnswer: 1272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*n + 38333 - 8939. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 3*k**3 - 62*k**2 - 10*k + 11. What is the units digit of t(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-423645)\/(-3965) - 2\/(-13). Put -4, -1, 2, d in increasing order.\nAnswer: -4, -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 228, 167, 72, -51, -196, -357, -528?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-86957)\/(-244)*4\/(-912). Let x = b - -2\/3477. Calculate the common denominator of x and (242\/(-4))\/((-42)\/(-7)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j - 1. Let f be s(6). Let a = 227 - 233. Let p be a*18\/24*(-4)\/6. Solve f*z - 3*v = 37, -p*z + 2*v + 27 = -v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-64)\/448 + (208\/(-14) - 9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 39 = -37*p + 2*k - 0*k - 57, 556*p - 553*p = -4*k + 346 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64474 is divided by 427?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -26*j + 1. Let f be i(2). List the prime factors of f\/(-18) - (-1)\/6 - -149.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -39\/18836 and -127\/4986.\nAnswer: 169524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1855202 and 4208.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (-9 - (1 + -1) - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 228338370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = a + 2*x, 3*x - 3 = -3*a + 5*a. Is 9\/(a\/(-6) + 0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n**5 - 267*n**4 - 1737*n**3 - 1209*n**2 + 1740*n + 1476 = 0. What is n?\nAnswer: -82, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000134607 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3293634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppmvmdpmpmfpfmmpmpp. Give prob of sequence mfmd.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of -3*s**5\/20 + s**3\/6 - 2*s + 1. Let v(j) be the first derivative of b(j). Find the second derivative of v(m) wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/((-18)\/(-4))*32\/((-4928)\/(-99))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 11 - (20\/25 + 10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:01 PM and 3:49 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 8*h - 336 = 36, -2*r + h + 146 = -7*r + 4*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -84.07 + 84. Let i = -0.37 - c. What is the biggest value in -7, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 2*f**2 + 2632*f + 453696 = 0.\nAnswer: -1112, -204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 12*q + 204 = 54 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/18*828861\/(-44). Let d = -4198 + x. Calculate the common denominator of (-467)\/(-30) - 4\/10 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (44 - 11 - (43 - 46)) + -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 552096 - 8?\nAnswer: 55208b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.030598 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-22) - (-19957)\/(-77). Suppose -5*x - 636 = 3*z, 0 = -3*x - 10*z + 12*z - 374. Let l = x - r. List the prime factors of l.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -380981, -380988, -380999, -381014?\n\"Answer: -2*m**2 - m - 380978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-333)\/(-37))\/180*4\/1)\/(3\/180)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2*s. Let j(d) = 651*d**2 - 21*d - 7. Let m(u) = 217*u**2 - 6*u - 2. Let c(h) = -2*j(h) + 7*m(h). Give n(c(f)).\nAnswer: -434*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**2 - 2*b + 4. Let r be u(0). Suppose 6*i - r*i - 10 = 0. What is the second derivative of -7*x**4 - i*x - 3*x**4 + 4*x**4 - x wrt x?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n + n - 2*n)*(-130*n + 67*n - 27*n)*(2 + 2 + 2*n**2 - 6).\nAnswer: 180*n**4 - 180*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -222*n + 65*n + 67*n + 79*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-55)\/(-429)*(6\/(-33) + (-152)\/(-110))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2238 divided by 3.\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 826385354 to the nearest integer?\nAnswer: 28747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*i**3 + 3*i**3 + 3*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g + 1. Let r = 124 + -104. Let o(d) = 4*d - 5. Calculate r*n(k) + 4*o(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**2 + 5*y - 7. Let s be t(-6). Suppose -2 = 2*f, 0 = -h - 2*h - 3*f + 3. Let p = s + h. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27)\/(-3) - -1 - ((-4)\/30 - 6512\/660)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*-5*1\/2*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 82 - 78. What is the greatest common factor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/(sqrt(9) - (sqrt(9) - (sqrt(9) + 2*sqrt(144)))) + (-1*-1*sqrt(320) + sqrt(320))**2.\nAnswer: sqrt(5)\/9 + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 415336?\nAnswer: 2, 193, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 97440396?\nAnswer: 2, 3, 17, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p**2 + 11*p + 6. Let y(f) = -7*f**3 + 2*f**2 - 1. Let t be y(-1). Let l be d(t). Suppose -4*c + l = 18. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 39, 88, 135, 180, 223?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/(-6))\/(7\/3). Let p be (1 - -1)\/(8\/16). Let o = 0.1 - 0.2. What is the nearest to o in p, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 25 = -y + 6*y, 4*y - i + 20 = 0. Let x be ((-30)\/(-24) + (-333)\/(-60))*y. Is -35 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 87 - 2*z + 136 - 223.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -272453782.3 to the nearest one million.\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 110 and 6215.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 23*n + 16 = 19*n, 3*n = 4*q - 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 4.2 (c) -6 (d) -3 (e) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -57.76 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -6987, 3 in decreasing order.\nAnswer: 3, 2, -6987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.01 in -0.2, 4, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 2*m**2 - 2*m + 2. Let g be v(2). Suppose -2*o - 76 = -4*n, 3*n - g*o - 52 = -2*o. Suppose -4*i = -n, 3*h - 52 = -2*i - 0. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 5*h - 2. Let a(w) = -w + 1. Let n(z) = 4*z - 6. Let k(o) = -6*a(o) - n(o). Determine k(v(x)).\nAnswer: 10*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**3 - 2*g**2 + 3*g + 959. List the prime factors of f(0).\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 22579\/3484 - 18\/(-2 + 5) and 35\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 180 = 3*x. Suppose 0 = -3*d + 208 + 188. What is the common denominator of 59\/4 and (-24)\/x - 578\/d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3933, 7880, 11825, 15768, 19709?\n\"Answer: -q**2 + 3950*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 130787 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 v when four letters picked without replacement from ljjrvlrrlvv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 3*o + 7*o = -13, -2*k = -3*o + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 99144313 to the nearest integer?\nAnswer: 9957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2145031787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:38 PM and 7:26 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5324*0.17\nAnswer: -905.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -38, 5, -0.16, 5\/1118, -5, 0.2, 0?\nAnswer: 5\/1118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -12*c + 11. What is t(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6090 and 323083635?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of b**2\/2 + 22*b + 3. Let q be -1 - -2 - (2 + -1). Calculate the remainder when r(q) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37554 at least as big as 37557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let -5*f**4 - 20*f**3 + 315*f**2 - 730*f + 440 = 0. What is f?\nAnswer: -11, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -5177508 + -1062641.02\nAnswer: -6240149.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -4*n**2. Let l(i) be the third derivative of i**5\/60 - 2*i**2 + 13*i. Calculate c(l(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*c**3 - 5*c**3 + 2*c**3 - 4*c**3 - 6*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2744 and (-24)\/13572*-29 + (-8732)\/(-78)?\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:07 AM and 5:06 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of j - 13 + 7 - 8 - 18 - 73*j**3 wrt j?\nAnswer: -438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*z + 3 - 3)*(9 - 10 + 2) - 3*z + 4*z + 8*z to the form o + f*z and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i + 6. Let f be w(0). Let x be (-1)\/(-5) + (-3)\/15. Solve 2*s - 5*n = -2, x = -s - 3*n + 2*n + f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59*o + 3195 = 12*o. Calculate the remainder when 2112 is divided by o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of 3*h**2 + 2*h - 1. Let v be 24\/15 - (-2)\/5 - -3. Is y(v) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) -1\/2 (b) 64 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 94758.54mm in nanometers?\nAnswer: 94758540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 299 at least as big as 309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of -t**3\/3 + 68. Let g(x) = 3*x**2 - 7*x**2 + x**2. What is g(q(f))?\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 81*o**2 + 55*o + 172. Let f be z(-7). What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*s**3 + 2*s**5 - 2*s**2 + 3*s**3 + 2*s**5 - 3*s + 3*s + (-2*s - 2*s + 3*s)*(0*s**2 - 2*s**4 + 0*s**2) + 0*s**5 - s**5 - 4*s**5.\nAnswer: s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 367 - 402.2. Let x = -71.2 - j. What is the smallest value in -3\/5, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**3 - 2*t**2 - 22*t + 32. What is f(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 10 + -18 + (-30)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*g - 32 + 62 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19888, -20421, -20956, -21493, -22032?\nAnswer: -22573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o\/(o*o**2*o)*o*o\/o**(3\/5)*o*o*(o*o**(-1))**(-11) assuming o is positive.\nAnswer: o**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 627*l**2 + 242*l**2 + 120*l**2.\nAnswer: 989*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**2 + 13329*k - 146507. Calculate f(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3 + (-208)\/(-34) + -3. Suppose 39 = -141*l - 141*l + 243*l. Which is the closest to 0.1? (a) l (b) -148 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkikkmmuums. What is prob of sequence ms?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**(2\/5))\/z**(-1\/6)*z**(-14)\/(z\/(z*z**(3\/11)\/z)))**(-1\/78))**13 assuming z is positive.\nAnswer: z**(4607\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 36625 by 6.\nAnswer: 36625\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21*36\/588 - ((-1673)\/(-196) - 7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, f: 5, n: 1, l: 1, a: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27.02 - -27.1. Let t = -3.8 + 4. Let w = -0.1 + t. What is the closest to w in i, 5, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -30 + 15*f**2 + 3*f + 25 + f**2. List the prime factors of d(2).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1054 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 3 k when four letters picked without replacement from zkvzzkkzvkkkvkkz.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x = -10, -48*w + 47*w - 6 = x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 51\/5 of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -38 + 49. Suppose 0 = 4*s - 5 - q. Suppose -17 = 5*v - 5*f - 87, -5*f = 4*v - 20. What is the remainder when v is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ybbb when four letters picked without replacement from bbbybbbbbbbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20 - 54) + 170 - 7.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 390ddc (base 15) in base 9?\nAnswer: 5131260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -6306196 divided by -4\nAnswer: 1576549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -185 - -173.3. Round g to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q**2\/2 - 74087508*q + 2744479420825032 = 0 for q.\nAnswer: 74087508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 27*j + 516. Calculate the remainder when q(-17) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l. Let d(p) = -122633*p - 61. Give m(d(r)).\nAnswer: 122633*r + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 8) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7)\/(-70) + 98\/420. Let b(y) be the first derivative of 26 + y**2 + v*y**3 + 3\/7*y - 1\/7*y**4. Solve b(l) = 0 for l.\nAnswer: -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 2*h + 10. What is the nearest to h in -0.4, 2, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = q + 2*o, 0*o + 5*o - 16 = 2*q. Suppose -5*z = -q*z. Solve z = p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1*-0.11\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19558.\nAnswer: 2, 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.5, -0.2, -462.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 + -5.89. Let b = r + -0.01. Do 0.13 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*f + 35*f = 75*f + 98*f + 2058 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 33*(2832\/176 - 16). Factor 0 + 7\/3*t**4 + 2\/3*t**2 + 3*t**f + 0*t.\nAnswer: t**2*(t + 1)*(7*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 308699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -3631686 to the nearest 10000.\nAnswer: -3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2394 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -8e199 (base 15) in base 9?\nAnswer: -758780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 3*f**3 + 642*f**2 + 1899*f = 0.\nAnswer: -211, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 18, i: 2}. What is prob of sequence hi?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -101 - 3766*p**2 + 719*p - 4611*p**2 - 129*p**2 - 722*p wrt p?\nAnswer: -17012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the second derivative of -c**7\/14 - c**6\/10 + 87*c**5\/20 - 79*c**4\/4 + 40*c**3 - 42*c**2 + 17*c. What is a in n(a) = 0?\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + 0 + -3 + 85 + (0 - -13)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 14 = -553*q + 554*q, -3*p = -36 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be -7 - 938\/126*-1. Suppose -3*s + 3*l = 14 - 38, -5*l - 28 = -2*s. Determine g so that 0*g**2 + 2\/9*g**s + i*g**3 + 0 + 0*g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*o**2 - 27*o**2 + 25*o**2 - 1558 - 38*o**2.\nAnswer: -43*o**2 - 1558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1001121111 (base 3) in base 7?\nAnswer: 114544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 118719832 divided by -547096.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1\/2)\/((-7)\/(-182)). Let c = u + -10. Suppose o + 6 = -5*d, -d + 38 = c*o - 14. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q - q**3 + 2*q + (-1 + 5*q + 1)*(q**2 + 0*q**2 + 0*q**2))*(-3*q**2 + q**2 + 5*q**2).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 45201643 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 0*i + i - 3*i. Let y(l) = 3*l. Determine u(y(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 46, -4, -1, -7\/151?\nAnswer: -7\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12403 and 942.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -208119 + -0.10808\nAnswer: -208119.10808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, y: 1, w: 5, h: 7, a: 2}. What is prob of picking 1 a and 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 50*j - 26. Suppose -2 = -5*b + 2*b - 5*u, 2*u = 4*b - 20. What are the prime factors of l(b)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 963 + 87. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(4 + ((-5 + -1*sqrt(272) + -3 + sqrt(272))*-3 + -4)**2).\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -50 + 145. Let f be (-15)\/(-6)*13*4. Let l = f - 35. Calculate the greatest common divisor of u and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 1\/4, -4, -2, 17, -84?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lgglllzrggclglgb. Give prob of sequence gc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1209663*q**5 - 102*q**3 + 27638*q**2 - 717*q + 3.\nAnswer: -72579780*q**2 - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 3*i + 1 + i)*((-7 + 19 - 5)*(-4*i + 4*i + 6*i**2) - 3*i**2 + i**2 + i**2 - 2*i**2 - 2*i**2 + i**2) to v + x*i**2 + m*i + y*i**3 and give y.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5133 + -5134. Which is smaller: 2\/1767 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-6)*(777\/43 - (-177)\/3717*-378).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -355880 (base 13) to base 4.\nAnswer: -10311312011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -2*a**2 - 35*a + 9. Let h = 4344 + -4362. Calculate c(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 150 - -4?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 369743674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 + 4*w**2 - 2*w. Let y be c(3). Let n be y\/(-1) - (-16 - -1). Suppose 4*d - 4*l + 4 = n, 3*l = 3. Solve d*t - 11 - 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -44.99 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 7 + 2)*(h + 6*h + h)*(-5*h + 3*h + 5*h).\nAnswer: 168*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sum -1358 and -14.\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -13*u + 210. Let g be a(16). Solve -7*n + 26 + g = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -626, -3010, -9318, -21470, -41386, -70986?\nAnswer: -112190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.6, -2\/9, 169163.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2773*j**2 - 58*j**3 - 5551*j**2 + 2774*j**2.\nAnswer: -58*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2005*n + 44 = 3*f - 2009*n, -2*f + 16 = -n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -423 + 437 + (-1 - -40) - 22.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1, 1, 3, 7?\n\"Answer: p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 63195.24g?\nAnswer: 63.19524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of p**6\/30 - 3*p**5\/20 + 2*p**3\/3 + 2*p. Factor m(q).\nAnswer: q*(q - 2)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g - 12 = -4*u, -8*g = 4*u - 6*g + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*b**3*g - 17*b**3 + 27*b - 5618*g - 3 wrt b.\nAnswer: 21*b**2*g - 51*b**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c**2 + 3*c**2 - 4*c**2)*(0 + 0 + 2*c) + (-2*c - 3*c + 4*c)*(c - 2*c**2 - c) - 39*c**3 - 53*c**3 - 18*c**3.\nAnswer: -114*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add 0.173107 and 92.\nAnswer: 92.173107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8)\/(sqrt(36)\/(2*sqrt(9))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 5*m - 43 - 174, 37 = m - 4*r. Calculate the remainder when 203 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 2*q + 4. Let a(f) = f**2 - 5*f - 9. Let c be a(7). Calculate the remainder when 23 is divided by t(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 4*w**2 - 3*w + 2. Let g be ((2\/5)\/(3\/(-75)))\/(-2). Let m(n) be the third derivative of -n**5\/12 + n**4\/6 - n**3\/3 - n**2. Determine g*m(p) + 6*a(p).\nAnswer: -p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {t: 2, i: 1, l: 1, m: 2, s: 12}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -3*t + 3. Let c(b) = -8*b + 10. Suppose 0 = 3*a - 6, -2*f - 2*f + 4*a = -36. Let p be (126\/36*8\/7)\/(-1). Let h(y) = f*k(y) + p*c(y). Calculate h(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8, -15, -32, -65, -120, -203, -320?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((((sqrt(200) - ((sqrt(200) - (sqrt(200) + 3)) + -4)) + sqrt(200))**2 - sqrt(200) - sqrt(200) - ((sqrt(200)*1)**2 + sqrt(200))*5) + 2).\nAnswer: -298 + 420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 + 13. Suppose 0 = 38*f - 218 - 162. Solve -f + 0 = -o*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -190 or -189?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((1 + sqrt(304) + 0)**2 + -4).\nAnswer: -1505 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -2*p**2 - 2*p + 1. Suppose 2*a + 1 = 15. Let r(v) = -6*v**2 - 7*v + 3. Calculate a*t(q) - 2*r(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*s - 6*s + 64 = 0. Let m = s + 32. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12195 divided by 3?\nAnswer: -4065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2252885646.1 take away 0.1?\nAnswer: -2252885646.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*p + 9*j - 29*j + 535 = 18*p + 21*j, 2*p - 56 = -4*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 40295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than or equal to 3452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16894680137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 802 is divided by 266.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 - 23522053?\nAnswer: -23522100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1, -27, -105, -257, -507, -879, -1397?\nAnswer: -2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001373104 rounded to 7 dps?\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -91 - -93. Let x(f) be the first derivative of -f**3 - 1\/4*f**4 - w + 0*f + 0*f**2. Find the third derivative of x(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -723 + 2194\/3. Let y = 30\/9083 + -24451586\/45415. Let d = y - -548. What is the common denominator of d and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.1 - -0.6. Let m = -3.7 + q. Let z = m - -4. What is the closest to -0.2 in z, 2\/9, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ygsshhycshgch. Give prob of sequence yg.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) 5.11 (c) -0.36 (d) 330 (e) 0.2 (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-66)\/(-55))\/(4\/6470). Suppose -7*n + 4430 = -2*n. Let o = g - n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21899*c - 46217*c - 54387*c.\nAnswer: -122503*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4c4171 (base 14) in base 8?\nAnswer: -12004107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25 + -19. Is 4\/16*4 + d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 0*h + 2*h + 11 = 0, -2*b + 5*h + 18 = 0. Let v(k) = -14*k - 1. What is the units digit of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-28)\/(-12))\/(13\/(-39)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:11 PM and 11:34 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22.44 + -22.84. Let a = 0.3 - 0.3. Let v = 3 - a. What is the nearest to 1 in -0.1, v, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 2987.385 grams?\nAnswer: 2987385000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 4, h: 3, x: 2, b: 9}. Give prob of sequence jhbx.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.8, 5, -0.28, 0.4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 102 - ((35 - 25) + -10 + 34)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c + 5. Let j be b(-3). Suppose -4*o = -3*v + 1, -j*o = -v + 5 - 6. Suppose -v*q + w + 190 = 0, -q - 3*w = -2*q + 58. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 - -20. Let k(d) = -d - 1. Calculate the remainder when a is divided by k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -20.37, 2?\nAnswer: -20.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g + 17. Let z(r) = -r**2 - 3*r + 2. Let b be z(-5). What is the least common multiple of h(b) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the first derivative of -h**3\/3 + 19*h**2\/2 - 78*h + 1521. Let k(v) = 0. What is v?\nAnswer: 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (48\/264)\/((-9)\/(-36)*8)*3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of w**4\/6 + 22*w**3\/3 + 69*w**2\/2 + 15*w + 2. What is the derivative of p(v) wrt v?\nAnswer: 4*v + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1048 + -1050. Put -6, 6, i in descending order.\nAnswer: 6, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2859679*j**3 - 8793*j**2 - 2931. Let w(v) = 1952*v**3 - 6*v**2 - 2. Determine -2*m(y) + 2931*w(y).\nAnswer: 1954*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4*a - a + 23 = 0, -3*o + 4*a = 23. Let u = -2722 - -2718. What is the nearest to o in u, -1.7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of 7*w**3\/6 + 4*w**2 - 22*w + 16. Let q(d) = -7*d - 7. Give -5*p(m) - 6*q(m).\nAnswer: 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.92 - -0.08. Let d = 9223 - 9224. What is the closest to u in d, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p**(1\/2)*p)\/p)*p\/(p\/(p\/(p*p**(2\/9)*p))))**29 assuming p is positive.\nAnswer: p**(-377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 270 = 1185. Suppose g = -6*o + 285. What is the highest common divisor of o and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.06 in 2, 1, 1\/4, -1.09?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 901989493, 901989494, 901989495, 901989496, 901989497, 901989498?\n\"Answer: v + 901989492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m**3 - 912*m**2 - 49140*m + 328536 = 0. What is m?\nAnswer: -117, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 0.124.\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the third derivative of 0 + 0*d - 13\/120*d**6 + 0*d**4 + 1\/60*d**5 - 1\/6*d**3 + 18*d**2. Give o(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30750 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1074*z + 208 + 190 + 424 + 103 + 2 with respect to z.\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l**(-2\/5))\/l)\/(l\/l**(-2\/5)))**(-26) assuming l is positive.\nAnswer: l**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 594*h**4*q + 12*h**2*q**2 + 3*h*q**2 + h*q + 2*q**2 - q - 15520 wrt h?\nAnswer: 7128*h**2*q + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 77 divide 1611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-4)\/4 - -1)\/(-1). Solve m*g + 4 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/7 (b) -0.10791 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -34 - 141. Let j = b - -182.9. Let z = j - 2.9. Put -2, 2\/19, z in descending order.\nAnswer: z, 2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.9 - 73.1. Let s = z + 91.125. Let l = -0.175 - s. Round l to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*22\/4 + (28 + -9 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 63000 (base 8) to base 7.\nAnswer: 136062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 22 - -444?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u + 5. Let n be x(-5). Suppose n*m = m + 1. Is m\/((-1)\/38) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.3945 to two dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 2*z**3 - 71*z**2 - 31*z - 16. Does 9 divide v(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 187 and 3377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 591101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 2*l**3 - 30*l**2 + 176*l - 2166. What is o(13)?\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -4*t - 7. Suppose 3*g = g - 12. Let k(x) = 3*x + 8. Suppose 0 = -3*h - 0*h - 21. Let i(y) = g*k(y) + h*w(y). Calculate i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-3)\/v*v*v*v**5*v)\/((v*v\/(v\/v**(3\/4)))\/((((v\/v**(-5\/4))\/v)\/v)\/v)))**19 assuming v is positive.\nAnswer: v**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4358*t + 4404*t = 8954*t - 6912 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 21 + -19. What is the third derivative of -6*n**5 + 7*n**2 + 2*n**5 - x*n**2 wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -5*o**2 - 4. Let u(i) = -9*i**2 - 9. Calculate -9*f(z) + 4*u(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes after 10:32 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 8613, 17220, 25825, 34428, 43029, 51628?\n\"Answer: -j**2 + 8610*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -1605*j**2 + 8*j + 6. Let w(h) = -3209*h**2 + 17*h + 13. Determine -13*i(s) + 6*w(s).\nAnswer: 1611*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78724*g**2 + 19736*g**2 + 19726*g**2 + 19730*g**2 + 19743*g**2.\nAnswer: 211*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 172974492 divided by -559788\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-21)*(840\/132)\/10.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 728 is divided by 64?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**2 + 16*v - 29. Let n be u(14). Let i be 6\/(-10)*n + 21\/15. Suppose 11 + 1 = 6*w. Solve i*p = -w*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15967615?\nAnswer: 5, 541, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -9db9a7 + 2?\nAnswer: -9db9a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-2))\/(1\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 48 by 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, l: 2, c: 2, t: 2, x: 1}. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3088*w - 1548006 = -16667*w for w.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -9 - -c4?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is u in 130*u**2\/19 + 36664*u\/19 + 1128\/19 = 0?\nAnswer: -282, -2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 3*y. Let j(q) be the second derivative of q**3\/6 - q**2\/2 - q. Let m(f) = -8*f + 6. Let l = 105 - 99. Let u(d) = l*j(d) + m(d). Determine u(a(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 64 and 96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**15*x*x*(x*x*x**(-27))\/x assuming x is positive.\nAnswer: x**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 736 and 991162.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -39*l**5 + 774*l**4 - 4482*l**3 + 6312*l**2 - 2079*l - 486 = 0. What is l?\nAnswer: -2\/13, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3245 - 3113 = -12*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -132000 (base 4) to base 13\nAnswer: -b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (75\/(-60))\/((-2)\/200). Suppose -i + d = -76. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15 (base 15) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 - 19. Solve -3 = -q*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 3*l + 282, 409 = 3*j - 0*l - l. Let o = -43 + 16. Let m be (o\/2)\/((-8)\/16). What is the greatest common divisor of j and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 3*l**2 + 29*l. Let n(a) be the second derivative of a**4\/12 + 7*a - 2. Determine c(n(p)).\nAnswer: 3*p**4 + 29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (159 - 105 + 149 + 170)*(-2*u**3 - 7*u**3 + 2*u**3) to the form z*u**3 + i + o*u + g*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*j + 24*j - 114121 = -15*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*d - 28423 + 156753 = -16870. Is 121 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-25)\/(-20)*(9 + (6 - 7)). Calculate the highest common divisor of x and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.86479987 to four dps.\nAnswer: 0.8648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ullp when four letters picked without replacement from {q: 3, p: 5, l: 6, u: 1}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 118 + -219. Let m = -25 + g. Does 11 divide 3\/(m\/(-5826)) + 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2555 + -2551. Put -11, v, -2, 32 in descending order.\nAnswer: 32, v, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 9679260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 91041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 3*w = 0. Let m = 0 + w. Let l = 4 - m. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 3\/52 (c) -238 (d) -7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 21 = -4*m, -2*t + 5*m = 10*m - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 225 + 3797. Round s to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:11 PM and 9:15 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-30 + 34 - 54) + 20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -950, -2, -3 in descending order.\nAnswer: -2, -3, -950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1805698.\nAnswer: 2, 902849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 380426 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47599636.\nAnswer: 2, 7, 19, 131, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 13 (b) -3\/7 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.081 or -653?\nAnswer: -653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3 + 16 - 2 + 73*c**2 wrt c.\nAnswer: 146*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 279 - (-1)\/(-1)*-1. Suppose -8*y = -4*y - u. Let k = -22 + 36. What is the greatest common divisor of y and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 3*d - 0. Calculate the common denominator of 59\/6 and 3 - 15\/(-24) - d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10 + 12. Let v(u) be the first derivative of -1\/2*u**2 - o - 5*u. Give v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = l - 0*l - 41, -9*l + 4*y + 35 = -14*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 4.502856 weeks?\nAnswer: 2723327308800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -8, 27, -144 in ascending order.\nAnswer: -144, -8, -5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*s - 9 = 15*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 21776.937 months to decades.\nAnswer: 181.474475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 28296367 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**2 - 4*z + 1. Let d(m) = -6*m**2 + 22*m - 3. Let f(y) = -d(y) - 5*s(y). Let o = 0 - -1. Let u(r) = 1. Give o*f(x) + 2*u(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -248*i**2 - 241*i**2 + 207032*i**3 + 730*i**2 - 241*i**2.\nAnswer: 207032*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7316*g**2 + 4*g - 7314*g**2 - 4*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -31*j**3 + 1950*j**2 + 72 - 1950*j**2 wrt j.\nAnswer: -93*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 10*p**2 - 6*p - 7. Let h(l) = -10*l**2 + 5*l + 6. Let i(m) = -6*h(m) - 5*w(m). Let k be i(-2). Solve -3*s = 3*g - 3, 5*s + 1 = 4*g - k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -1\/9, 4, -5, 0.06?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 161947740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -1554457970 + 0.15.\nAnswer: -1554457969.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w - 15 = 3. Let t be (w + 0)*(-21)\/9. Solve 2*l + 2*v = 0, -2*v + 0*v + t = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 133*h + 128 = -12 - 126 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (1 - (0 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/17 + (-137 - 249067\/(-1820))*(-8)\/3.\nAnswer: -6\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 14 = -4. Suppose 6*g = 13*g + 42. Let k be (-44)\/33*(-1 + 3\/g). Solve -k*w - s = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*z + 9*z - 5*z)*(3 - 2 + 0)*(-16 - 14 + 5)*(1 + 1 - 4).\nAnswer: -550*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the first derivative of 29*j**2\/2 + 6*j + 134. What is the derivative of w(z) wrt z?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 5:22 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6434 - 7703 + 117374*s - 11065 - 121654*s wrt s?\nAnswer: -4280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 5:59 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 139726 is divided by 324?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -12*k**2 + 6*k + 4. Let w be p(-4). Let z = 171378\/11 - 15368. Let n = w + z. Which is the closest to 0? (a) 5 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56385?\nAnswer: 3, 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1230 (base 6) in base 4?\nAnswer: -10302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.4 - -3.6. Is -1\/3 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -31*m**3 - 23*m - 1. Let k(q) = 32*q**3 + 25*q + 2. What is 12*f(n) + 11*k(n)?\nAnswer: -20*n**3 - n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u - 2*u + 2*u)*(2 - 4 + 0) + 4*u - 2*u - u + (-1 - 3 + 3)*(5*u - 3*u + 4*u) - 5*u + u + 3*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 674.2 + -678.2. Which is the nearest to -1? (a) -12 (b) -1\/4 (c) h (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from nnqrnrtnr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let o be -5 + 2 - 1\/(2\/(-30)). What is the common denominator of 75\/8 and (7 - -3)\/(o\/23)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -36c - 3359d?\nAnswer: -33909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -21201 (base 4) in base 14?\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.45*-0.3.\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3061364 milligrams to nanograms.\nAnswer: 306136.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - 0.8. Let z = -48\/287 + 1\/41. Which is the closest to -0.1? (a) j (b) z (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -1 - 36001*j**3 + 2 + 2*j - 2284*j**3 - 65498*j**3. Let l be w(-1). Let k = 843782 - l. Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 72559 and 3\/781 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 + 16. Let s = 3 + -3. Calculate the smallest common multiple of 4 and p(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 20 = 3*o, 3*t - 2*o - 73 = 0. Suppose -2*l - 13 = h, -2*h = 3*l - 6 + t. What is the nearest to -1 in -4, h, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1218768, 0, 2?\nAnswer: 1218768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 81*v**4 + 2*v**2 + 178*v - 1 wrt v?\nAnswer: 972*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 270b17 (base 12) in base 7?\nAnswer: 5322526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -31*a - 7. Let f be c(5). Let i = 288 + f. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**2 + u + 6. Let z be a(-2). Suppose -5*l + 71 - 1 = z. What is the highest common factor of l and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 37 - 35. Find the second derivative of 22710*a**v + 115*a - 22710*a**2 - 58*a**3 wrt a.\nAnswer: -348*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -g + 2*g. Let w be (g\/(-6))\/((-1)\/(-2)). Find the third derivative of 2*k**w - k**6 - 23 + 23 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 6, g: 1, p: 2, k: 1, w: 8}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**2. Let i(c) = 25*c. Calculate i(v(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19 + 80. Suppose 5*a + v = 211. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/33948 and -71\/6.\nAnswer: 33948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 3*w**2 - 8*w. Let t(g) be the third derivative of -g**4\/24 + 16*g**2. Determine -d(j) + 6*t(j).\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -2*u**3 - 655456*u**2 - 5243552*u - 10487040 = 0.\nAnswer: -327720, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-45)\/36)\/(((-21)\/36)\/7). Suppose -2*n + h = -5*n. List the prime factors of (50\/(-15))\/(n\/(75\/2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2841 - 18566*l + 5646 - 2805.\nAnswer: -18566*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10693841*d**3 - 4645403 wrt d.\nAnswer: 32081523*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 47 - 51. Let o = 8 + -6. Let g be o - (-1)\/((-27)\/60). What is the second smallest value in g, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 6 - (1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 2*v**4 - 2426*v**3 + 724626*v**2 + 6744218*v - 7466420 = 0.\nAnswer: -10, 1, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2736) + (sqrt(2736) + 0 + sqrt(2736))**2 + sqrt(19) + 1.\nAnswer: 13*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 4671, 9358, 14049, 18744?\n\"Answer: 2*o**2 + 4681*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 54 - 30. Suppose -1656 = 2*o - 3*l - 1780, l + 2 = 0. What is the remainder when o is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000904117 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -258*t - 5. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 217*y**2 + 7*y + 457. Let b(j) = 36*j**2 + j + 79. Give 13*b(g) - 2*x(g).\nAnswer: 34*g**2 - g + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40, -76, -112, -148, -184, -220?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 54 = 3*a, 5*a + 79 = q + 216 - 71 - 72 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1214*r**5 + 1387*r.\nAnswer: -24280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/9 (b) -11 (c) -0.3 (d) -13.3 (e) 2\/9 (f) -1\/2 (g) 8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*m + 5*m. Suppose 4*y - 9 = 11, 4*k = -m*y + 46. Suppose 0 = 2*j + k - 3. Let z(v) = -v**3 - 3*v**2 - 3*v + 4. Calculate z(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 4*z + 20*z**2 + 4*z - 18*z**2. Let f(n) be the third derivative of n**5\/30 - 12*n**2. What is f(a(q))?\nAnswer: 8*q**4 + 64*q**3 + 128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -137*b. Let s = 262 - 272. Let r be n(s). What is r rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -37277 + 3?\nAnswer: -37274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(0 + (sqrt(448) - (sqrt(448) + 0))) + (6*sqrt(42)*2)\/((sqrt(6) - (sqrt(216) + (sqrt(216) - (sqrt(216) + sqrt(216)*1)) + sqrt(216))) + sqrt(6)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-10)\/(-38 - 2) - (10\/8 - 2). Solve -h - 3 = 5*w, -4*h + z = -3*w + 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2*v - 21. Let y be l(13). Solve -m - 4 - 11 = 3*a, 0 = -4*m + a + y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 2*v - 96, -4*s = -2*v - 3*v - 110. Suppose -3*w + u = 15, -3*u + s = -5*w - 7*u. Put w, -1, 4 in ascending order.\nAnswer: w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 6377, 12827, 19277, 25727, 32177, 38627?\n\"Answer: 6450*g - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/(44\/(-12) - 2\/(-3)). Let h be (-2)\/(-8) + p + (-6)\/24. Is -3.5 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.046 + -2.146. Let q = 0.76 - 0.26. Which is the nearest to x? (a) -3 (b) -3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 468 = 6*q - 2*r, 26*r = -2*q + 29*r + 142. Suppose 0 = 2*u + 1 - 5. Calculate the least common multiple of u and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -4*z**3 - 4. Let p(s) = 2*s**3 + 2. Give 4*h(i) + 9*p(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 32, 15, -28, -109, -240?\n\"Answer: -2*m**3 - m**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 91942 + -2?\nAnswer: 91940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 58\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from {n: 1, q: 5, a: 3, h: 5, r: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 + z - 1. Let n(t) = t**3 + 9*t**2 + 4*t - 7. Let r(c) = 6*g(c) - n(c). Calculate r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74 + 46 = 3*g - 5*i, 5*g = -2*i + 231. What is the least common multiple of g and 75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-26)\/(-4)*(7 - 9). Let d = l - -18. Suppose -167 = -d*y + 3*k, k = y + y - 66. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3591305983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.022 + -0.037. Round k to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 3*x + x - 16 = 0, 5*d - 5*x = 70. Let r be (d\/30)\/((-3)\/90). Let p be r\/(33\/9 + -3). Put p, 4, -2 in decreasing order.\nAnswer: 4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-24)*39 + 2\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5911895863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 - 2*o**2 - 4. Let w be y(3). Suppose w*m - 29 - 21 = 0. Suppose -3*h + m = -2*r + r, 3*r + 5*h - 40 = 0. Sort -4, r, -2 in increasing order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.268, -95220, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-5 + (5 - (0 + 3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/(-10))\/((-6)\/(-30)). What is the second derivative of -m - 9*m**b - 3*m + 8*m**2 wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 137265154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 139742173783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/11, 19, -13, -4\/5, -0.2 in decreasing order.\nAnswer: 19, 3\/11, -0.2, -4\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 36710584 to the power of 1\/2, to the nearest integer?\nAnswer: 6059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the third derivative of l**5\/20 + 5*l**4\/24 - l**3 - 9*l**2. Let d(t) = -t**3 + 3*t**2 + 4. Let c be d(3). Is s(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3013002132 (base 4) to base 6.\nAnswer: -25250210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 58 = -5*y. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -31*v - 316. Let z be x(-10). Put 4, -1, -2, z in increasing order.\nAnswer: z, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.98 - 3.709. Round z to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.7771 * 5625\nAnswer: -4371.1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2*u**3 - u**2 - 15*u + 926. Let w be b(0). Which is greater: w or 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**4 + 4*l**3.\nAnswer: -l**3*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167157 is divided by 2740.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + (0 - (1 - -4)). What is the units digit of (-221)\/((-9)\/3 + (-1 - u))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.20887323 rounded to three dps?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 257 + -122. Suppose -2*m - 5*o + g = 0, 205 = 3*m + m - 3*o. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 159 + -33. Calculate the greatest common divisor of 36 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 23.8777529 and -0.2.\nAnswer: -4.77555058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102 is divided by 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 2*x**3 + 3*x**2 + x + 14. Let w be n(5). What is the greatest common factor of w and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 2)*6\/4. Suppose -u + 1 + 7 = -q, -3*u + 19 = -2*q. Find the second derivative of 6*z - 4*z + u*z**m + 4*z - 3*z wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23 = -5*l - 0*t - 4*t, -3*l - 4*t = 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1.2 (b) -7.31 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(-9) + 7\/(-9). Let z = 0 + -3. Suppose 55 - 38 = 17*j. Sort a, z, j in ascending order.\nAnswer: z, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103827*f + 59169*f + 44629*f.\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 551, -52, 253, 4 in increasing order.\nAnswer: -52, 4, 253, 551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10891599*n**3 + 56924*n**3 - 3839610*n**3 - 1228634*n**3.\nAnswer: -15902919*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -1398, -0.2, 2\/15, -21 in increasing order.\nAnswer: -1398, -21, -0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add together 6580 and 0.32.\nAnswer: 6580.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(704) - sqrt(44)) + -1 + sqrt(11) + 4)**2.\nAnswer: 42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 27510 by 1.\nAnswer: 27510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 718756836 minus -0.4?\nAnswer: 718756836.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -17935 - -17932.0222. What is m rounded to 2 dps?\nAnswer: -2.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55650?\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55546 + 26*p + 55543 + 84*p.\nAnswer: 110*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 37*k**2 + 18*k + 4. Let g(f) = 75*f**2 + 39*f + 9. Let u(b) = -4*g(b) + 9*m(b). Factor u(l).\nAnswer: 3*l*(11*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**2 - 8*h + 1. Let c be t(9). Let z(j) = c + 12*j - 10. Let o(s) = -2*s**2. Calculate o(z(b)).\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 552 - 572 = -2*j, -2*j = -4*k + 10. Solve -o + 0 = -n + 9, -j*o - 4*n = 18 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/12 - 2\/(-8). Let r(l) = -1 - 3 + 1 + 0 - l. Let p be r(-6). Solve u + p = -z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 10 - 18. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 294107111 from 0.18.\nAnswer: -294107110.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**2*f)**(2\/3))**38 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 154594610*j**4 - 292457251 wrt j?\nAnswer: 618378440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12)\/sqrt(6)*-3 + 1 - sqrt(10)\/(-5*sqrt(405)).\nAnswer: -134*sqrt(2)\/45 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -795 + 1434. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(66)*2)\/((sqrt(72)\/sqrt(2))\/sqrt(6)) + 3.\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 4*l**3 + 172*l**2 - 11*l - 487. Calculate j(-43).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(140) + sqrt(140)*1)\/sqrt(10))\/(-2*sqrt(1008)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10047 is divided by 4820.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 243876 - 243876 + 20*b. Let u(k) = -2*k**2 + 63. Determine u(q(y)).\nAnswer: -800*y**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**2 - l + 5. Let n be c(0). Suppose 0 = n*p - 8*p + 330. Suppose -20 = 2*m - p. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39062017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o + 15. Let s be f(-8). Let d(z) = z**2 - 1. Let t(l) = 4*l**2 - 3. Let x(v) = s*t(v) + 3*d(v). Let w(c) = 14*c**2. Determine x(w(y)).\nAnswer: -196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2366 + 210?\nAnswer: 2606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7650 + 7653. Solve 3*j - u*m = -9, 5*j - j - 12 = -4*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -21*r + 63. Let j = -35 - -21. What are the prime factors of o(j)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 5) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6190 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22899.\nAnswer: 3, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/3181 or -1?\nAnswer: 1\/3181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -786555*m + 786614*m = -472 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -366*k + 59. What are the prime factors of p(-3)?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 6103560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 292748 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 210*q**3 + 169*q**2*s - q**2 + 141786*q*s wrt q?\nAnswer: 1260*q + 338*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*r + 4319 = 24*r. Let c = r - 375. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 9 + (-112)\/18 - 4\/(-18). Suppose 3*f - i = -34, -s*f - f = 5*i + 20. Are 6 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4241907 take away -60.67?\nAnswer: 4241967.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 36*c**2 + 51*c**2 + 0 - 3.\nAnswer: 15*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the first derivative of v**3\/3 + 3*v**2 - 315*v - 4294. What is l(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 6, l: 3, w: 1, p: 2, f: 1}. Give prob of sequence pf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**2 - 3*c + 9. Suppose 0 = 2*k + 25 - 15. Let o be a(k). Let n = -3 - -3. What is the second biggest value in o, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 + 59 - 1\/2*0. Suppose z*s = 58*s + 393. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4831 + -4655. What is the remainder when t is divided by 98?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**1)**28*a**(-2\/3)\/(a\/(a*a*a**10*a*a)*a*a))**12 assuming a is positive.\nAnswer: a**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -20*n - 20. Let o(x) = 4*x + 4. Determine -2*c(t) - 11*o(t).\nAnswer: -4*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**2 + 8390*k - 3097192. Calculate v(387).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 8*h + 14. Let t be w(-6). Suppose -5*y - 2*r + 589 = -3504, -t*r + 2459 = 3*y. Is y a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -121.3 (b) -1\/3 (c) 1\/5 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 7*c = -170, -3*c = 276*u + 274*u - 552*u - 76 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1128 divided by 141\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(4*sqrt(2940))\/(6*sqrt(588)) + 3.\nAnswer: -2*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1950 and 2250?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*a = -4*a + 16*a + 20, 15*a + 425 + 1381 = 3*j - 75*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -7780, -7820, -7904, -8056, -8300, -8660?\n\"Answer: -4*q**3 + 2*q**2 - 18*q - 7760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of 11*u**3\/6 + 17*u. Let s(g) = -3*g**2. Determine s(f(x)).\nAnswer: -363*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9019 - -9473. What is the highest common divisor of 3859 and z?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 28 - 2. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 333 - 336. Sort w, 3\/2, -1\/6 in decreasing order.\nAnswer: 3\/2, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*p + 207*p**2 + 264*p**2 + 201*p**2 + 30*p - 850*p**2 + 206*p**2.\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7557137.\nAnswer: 7, 443, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18, -37, -56, -75, -94, -113?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 222*c**3 - 770999508638*c**2 + 770999508638*c**2.\nAnswer: 222*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z + 1. Let f be o(-3). Let t be (6 - 2)*(-2)\/(-4). Sort -2, f, t in decreasing order.\nAnswer: f, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*s + 50*s - 110712 = 0. Suppose 5*u - 4*p = -7*p + s, -9 = 3*p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 8*b = 0. Suppose b = -5*o - 5 - 10. Let v be (4\/o)\/((-1)\/(-3) - 0). Let n(u) = -u - 4. What is n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 631523690 a multiple of 2867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + 2ba97?\nAnswer: 2ba92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 25\/77, -3, -79, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1 + -3 - (-5 + -7 + 3) - 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5\/2? (a) 0.1 (b) 12 (c) -1 (d) -0.01 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/8 and 23054640 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5787 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 294*t**2 - 2*t - t + 41 + 29 + 1425*t**2. Let q be x(22). What is q rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 + 3 - 3)*(-6*j + 3 - 3)*(-2 - 2*j + 2)*(-8*j - 9*j + 7*j).\nAnswer: 120*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 135, 265, 399, 543, 703, 885, 1095?\n\"Answer: h**3 - 4*h**2 + 135*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/20879 or -4?\nAnswer: 2\/20879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -t**3 - 85*t**2 - 62534*t + 260531103 wrt t.\nAnswer: -3*t**2 - 170*t - 62534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1812, 3174, 3866, 3552, 1896, -1438, -6786, -14484?\n\"Answer: -56*y**3 + y**2 + 1751*y + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 280 + 287 + 20*d**3 + 287 + 314 - 1451 + 283.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 63408 divided by 10568?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in 66, -1\/140, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (78\/26 + (-1)\/1)*(-2)\/26. Let d = 14 - 27. Let g = 18 + d. Sort 2, i, g in ascending order.\nAnswer: i, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3439*l**5*o + 2*l**2*o**2 - 432*l**2*o - 9*l*o**2 + 49*l*o - 2*l + 40*o**2 wrt l?\nAnswer: 68780*l**3*o + 4*o**2 - 864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of -f**6\/20 - f**5\/20 - f**3\/3 + 132*f**2 + 5. Let h(x) = -11*x**3 - 6*x**2 - 4. Give 3*h(u) - 5*w(u).\nAnswer: -3*u**3 - 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 579481*h**3 - 2876*h**2 - 71 wrt h?\nAnswer: 3476886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10139165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n = -4*n + 5*a + 13, n + 2*a = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5718 - 2648. Let k = 1 + -1. Suppose 4*o + k*f - 12295 = -f, o - j = f. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36\/(-40)*(-104)\/78)\/((-10)\/325).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -322*x = 913619 - 1258997 - 1320328. List the prime factors of x.\nAnswer: 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -26\/9005 and -31\/10.\nAnswer: 18010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 2 l when four letters picked without replacement from {l: 2, i: 4, t: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in -4, 39, -0.2, 1, -6\/7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 1 + r**2 + 0*r - r + 2*r. Let n = 4 - 7. Does 3 divide t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - v + 236 = 0. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 2*r**3 + r**2 - 37*r + 6. Calculate f(-6).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w**(-1\/9)\/w)\/w)\/w**(1\/11))\/((w**11*w*w)\/(w*w\/((w*((w*w**27*w)\/w)\/w*w)\/w))))**(1\/4) assuming w is positive.\nAnswer: w**(-4079\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*j + 110 = -27*j. Let x be j\/55 + -3 + 26\/10. Solve x = 14*i - 9*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/4, -0.5, -6, -3\/301, -3, -4, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l. Let m(p) = -247*p**2. Give u(m(z)).\nAnswer: 247*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -4*q - 3*z - 11, 18 = -2*q + 3*z. Let l(j) = 42*j + 21*j - 62*j + 12. What is l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 = d + m, -d = -3*m - 87 - 15. What is the third derivative of d*y**2 + 0*y**3 - 125*y**2 + 2*y**3 + y**4 + 3*y**3 wrt y?\nAnswer: 24*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-22)\/(-6)*(30\/(-21) + 9590\/(-490))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27060 and 5238420.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 8 - 2 = 0. Suppose 5*k = -3*h + h - 15, -4*h = -k - 3. Suppose l + h = y. Solve 2*o = -4*q, -5*q - 1 = l*o - 0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 335*d = 321*d - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*q**(-2\/5)*q)**(2\/11)*((q*q**(1\/4)*q)\/q*q)**26*(q\/((q\/q**(2\/5))\/q*q)*q**(-2))**9 assuming q is positive.\nAnswer: q**(4903\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -16.38028 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 e when three letters picked without replacement from {b: 3, e: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 - 8. Let n be (-3 + 0)*(-1 - 0). Solve n*w - y*w + 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.21 - -1.384. Let q = 37.93 + -38. Let b = q + z. Round b to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*l = 1273 + 32773. List the prime factors of l.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 divided by -163?\nAnswer: -7\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/(-6))\/((-12)\/(-10))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4519849205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 44528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 5*m + 2*m = -5, -2*i = 5*m - 23. Sort -21, -1, i in increasing order.\nAnswer: -21, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00019195518 to six decimal places.\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -4*v - 5. Let g(i) = i - 17. Let t be g(13). Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the third derivative of -26 + q**2 - 9\/40*q**6 + 0*q - 17\/20*q**5 + 11\/70*q**7 + 7\/8*q**4 + 3*q**3 + 1\/56*q**8. Solve p(f) = 0.\nAnswer: -6, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1\/5)\/u)\/u*u**(-12) assuming u is positive.\nAnswer: u**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.2+0.9219633\nAnswer: 1.1219633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 15.3936 times -2?\nAnswer: -30.7872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 63637 + -28858. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51\/4 of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 51 + -48. Let u(c) be the second derivative of -c**5\/20 + 2*c**4\/3 - 4*c**3\/3 + 4*c**2 - 2*c. Let y be u(7). Sort -1, y, t in descending order.\nAnswer: t, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/3662 or 0?\nAnswer: -1\/3662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4806998.\nAnswer: 2, 7, 181, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/((l\/(l*l*l**(3\/7)*l))\/l))**(-32))**10 assuming l is positive.\nAnswer: l**(-9920\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((8 - 5) + -10)*((-48)\/(-28))\/(-4). Let x(i) be the second derivative of i**5\/20 - i**4\/4 + i. Let c be x(j). Solve 2*f + 0*f + 6 = c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3031*11.\nAnswer: -33341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) -13\/14 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*y = -2175353 + 2175455 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -11 - 1. Suppose 7*w = 3*w, f - a = w. Let u = -1 + -1. Sort u, f, -1 in descending order.\nAnswer: f, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 350576409.\nAnswer: 3, 701, 166703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 4*c = 4, 0*a + 4*c = a - 1. Suppose -2*n + a = -n. Sort n, 5, -9 in ascending order.\nAnswer: -9, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 22052144 and 7701.\nAnswer: 22059845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1661263221.\nAnswer: 3, 6217, 89071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 60 = -4*j, 35 = o - 5*j + 6*j. Solve -o = 8*g - 0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (15\/(-6))\/(4\/(-8)). Solve -22 = c*h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**2 + 5*v - 7. Let j be p(2). Put 0.2, j, 1, 1\/8 in descending order.\nAnswer: 1, 0.2, 1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 9.404018 kilometers?\nAnswer: 940401.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1360 (b) 8.6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/(-8) - (2 - 1885\/20). Suppose 0 = -f + 5*t - 2 - 2, 0 = 3*f - 4*t - 32. Suppose -s = -4*g + f. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 + 5. Let s = 0 + b. Suppose 5*f - 40 = -s*r + r, -3*r + 3 = -2*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 2114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g**5 - 2545*g**4 + 77612*g**3 - 344018*g**2 - 497102*g - 72933 = 0. Calculate g.\nAnswer: -453, -1, -1\/6, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30 and 1828106?\nAnswer: 27421590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvvvvvuvvuvvvvvvvv. What is prob of picking 2 v?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19 - 19. Let f be -9*(4\/(-6) - i). Is f equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50447824 a multiple of 3023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 119928360*w + 30924229 wrt w?\nAnswer: 119928360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.18, 0.4, -2.4, 5922, -2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.06*921681.\nAnswer: -55300.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12330 and 1344.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20 - 19. Let n(h) = -10*h - 111. Let j be n(-11). Which is the second smallest value? (a) f (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbppbpzzbzzbb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 352011, 352060, 352109, 352158?\n\"Answer: 49*s + 351962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*a**3 - 30730*a**2 - 17536*a - 2504 = 0. Calculate a.\nAnswer: -313, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = 4*s - 5003, 4*s - 8*s + 8 = 0. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, v: 1, h: 2, c: 1}. Give prob of sequence hhvr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add 25095.5 and 578421.\nAnswer: 603516.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.23 less than -91570677650?\nAnswer: -91570677649.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 41545.045891 + -41484.046. Let r = -68.1 + 7.1. Let g = f + r. Round g to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -74861, -75017, -75173, -75329, -75485?\n\"Answer: -156*b - 74705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqqqqqjqqqjqqqqqq. Give prob of picking 3 q and 1 j.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/2)\/((-17)\/204*18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -6*p**2 + 13*p - 4. Let h(t) = 7*t**2 - 12*t + 3. Let z(x) = 6*c(x) + 5*h(x). Let k be z(13). Calculate the highest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.1 - 0.2. Let s = 6 + -5.9. What is the biggest value in 4\/5, s, g?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1325181401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -h + 3*h + 44, -3*h + 2*k - 40 = 0. Let a(o) = o + 2. Let f be a(6). Let g be f\/(-12) - h\/33. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 344706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6103 and 57.\nAnswer: 347871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kvwv when four letters picked without replacement from wkvvvvwk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -663 + 676 + (4 - (-170)\/(-45)) + 2928\/(-54)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 772*p**2 + 21668*p\/7 + 208\/7 = 0 for p.\nAnswer: -4, -13\/1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 294.1033mg in tonnes?\nAnswer: 0.0000002941033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -2*u**2. Let z(s) = -594*s**2 - 2417*s - 1. What is z(d(t))?\nAnswer: -2376*t**4 + 4834*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 2*c - 338 = 0, 284 = -4*f + 29*c - 24*c. Which is greater: f or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the second derivative of -4*x**3\/3 - 2*x**2 - 73*x. Let z(k) = -23*k - 11. Give -11*r(h) + 4*z(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 8 = -17*m + 16*m, t + 2 = 3*m. Suppose m = 4*b - 188 - 0. What is the second biggest value in b, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -7*x**2 + 9*x - 9. Let u = 2 + -11. Let i(b) = -3*b**2 + 4*b - 4. Give u*i(w) + 4*k(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 + 3*x. Let b be d(-4). Suppose 5*c + b*j = -442, j + 178 = -2*c - 0*j. What is c rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*c - 5 = 15*c. Suppose -3*n - n = 12, c*l - 4*n - 92 = 0. Suppose -17*u + l*u = -25. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (9 + -7)*6\/54. Let x = -0.11 - -0.11. What is the nearest to x in -0.4, h, -22\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -33 divided by 707\nAnswer: -33\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/90)\/(3\/(-27))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-9))\/(28\/21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, c: 4, n: 2, a: 1, k: 3, b: 1}. What is prob of picking 1 a, 1 u, and 1 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 2*q**2. Let u(s) = 37*s**2 + 2. Suppose 5*b + 2 = 12. Let t(o) = 1183*o**2 + 65. Let k = 1275 + -1340. Let a(y) = b*t(y) + k*u(y). Calculate x(a(v)).\nAnswer: 3042*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/25880 and 1\/6470?\nAnswer: 25880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -147, -291, -431, -567?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -2*j**3 - 5*j**2 - 7. Let n(a) = a**3 + 4*a**2 + 7. Let o(l) = -2*l**2 + 161*l - 535. Let m be o(77). Give m*p(c) + 5*n(c).\nAnswer: -3*c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4953 and 155067.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (2 - (0 - (-6 - -4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -638 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*s = -417*s + 8844 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from {y: 2, z: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 4*m**3 - 13*m**2 + 12*m + 61. Is p(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.525 and -110729?\nAnswer: 58132.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 650, 1303, 1956, 2609, 3262?\n\"Answer: 653*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 50\/12 - 2\/12. Let a = 25 + 3. Calculate the remainder when a is divided by (6\/y)\/((-6)\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (373843 - 1)\/(-9)*-1. Suppose 15*u = -6*u + g. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 4*z - 980, -83*v - 1960 = -85*v + 4*z. Which is smaller: v or 979?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 13080889, -6 in decreasing order.\nAnswer: 13080889, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 392 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.1*0.0235\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-36*o + 7*o + 9*o)*(15*o - 2 + 1 + 0) to d*o**2 + m*o + s and give d.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, 4, 2, -2 in decreasing order.\nAnswer: 4, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 4*h - 19 + 4 = 0, -2*l + 4*h = -22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*p = -4*p - 3718. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b + 8. Let m be h(6). Suppose m*s = -2*l + 120, 4*l + 2*s - 235 = -s. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the first derivative of s**4\/4 - 3*s**2 + 9*s + 114. What is the lowest common multiple of 15 and z(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -281*j**3 + 568*j**3 - 280*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.8141934 litres?\nAnswer: 814.1934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -6*p**2 + 4*p + 2*p**2 + 3*p**2. Suppose 381 + 579 = -4*o. Let r = -236 - o. What is h(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 3*b - 9 = 0, 7*d - 3*d = -3*b + 16. Let q = -2.2 + -0.8. Let w = q - -3. What is the nearest to w in 2, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of 0*p**3 + 1\/20*p**5 + 0*p**4 + 0 + 8*p**2 + 0*p. Determine d, given that h(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 239\/336 - 5\/112. Let w(b) = -7*b - 23. Let l be w(-4). Let k = 1\/16 + 9\/112. What is the smallest value in s, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 PM and 4:11 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 78228, 77675, 77122?\nAnswer: 76569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -7581 divided by 3\nAnswer: -2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 + 83650?\nAnswer: 8364b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ozh when three letters picked without replacement from hhokhhhooohhohhzoo.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1315 and 17165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/16 and (-12)\/(-78) + (-318)\/(-18720)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - -1)*123*1. Suppose -1596 = -20998*l + 21010*l. Let m = r - l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 40997 (base 13) to base 3.\nAnswer: 12212222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**3 - 3*q**3 + q**3)*(112*q**2 - 29*q**2 - 1522*q**2).\nAnswer: 1439*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -29059*g**2*i**2*w + g**2*w - g*i**2*w**2 - 5*g*i*w**2 - 22*i*w - 65*w wrt i?\nAnswer: -58118*g**2*w - 2*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/(-2)*7\/(42\/75). Calculate the common denominator of (5\/(-3))\/((-12)\/(-52)) and (1265\/z)\/11 + 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 2*b**2 + b - 3. What is l(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -6e8ae (base 15) to base 11.\nAnswer: -221207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -42 - (21 + -13) - -28?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 237.\nAnswer: 1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5\/3)\/((-1)\/(-3)). Let u = -3 - -11. Suppose u*c - 5*k = 4*c + 26, 0 = 3*c + i*k - 37. Solve 7 + c = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -124*j - 10425 = -541*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1016098\/867 or -1172?\nAnswer: -1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6258*y**6 + 41565*y**4 - 748264908*y**2.\nAnswer: -750960*y**3 + 997560*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*b - 419 + 419 to the form r*b + k and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 87*b - 9010. Let h be p(104). Solve -h*o + 8*o = 90 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 + 967.483950103\nAnswer: 967.783950103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -68.957 - 0.043. Which is the fourth biggest value? (a) 5 (b) p (c) -1\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t**3 + 34*t**2 + 42*t - 101. Let b be d(18). Solve 5*y + 3*k + 12 = -b, 0 = -y + k - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1321.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/4 of a day in hours?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes before 6:31 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 + 2*s - 1. Let a be c(-2). Let m(g) = -11*g - 44. Let b be m(-4). Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -571 (base 9) to base 14\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 24.64199ml to litres.\nAnswer: 0.02464199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77 is divided by 1\/6*8*(15 + 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*g**4 - g**4 - 5*g**4 + 2*g**4 + 3*g**4 + 0*g**4 + (-1 + 1 - 2)*(-g**4 + 0*g**4 + 2*g**4).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.1818547mm?\nAnswer: 0.0000001818547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 134 and 39999?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -104 (base 6) to base 15.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 212 + -119. Let d = o - 60. Calculate the least common multiple of d and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*t*x**5 - 8*t*x**4 + 12*t*x**3 - 53*t*x + 4*x wrt x?\nAnswer: 40*t*x**3 - 96*t*x**2 + 72*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6143687 millimeters in nanometers?\nAnswer: 614368.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eesusu. Give prob of sequence eu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 3 = 7. Solve -5*w + 9 = -s*w - 2*f, -w - f - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/1593154 and 173\/90.\nAnswer: 71691930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is 9\/(-6)*2*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -24354*i**4 - 14*i**3 + 15*i**2 + 625740020 wrt i?\nAnswer: -97416*i**3 - 42*i**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6885 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (1*(sqrt(198) - sqrt(22)) - sqrt(22)*-3*4)\/((6*sqrt(384))\/sqrt(12)).\nAnswer: 1 + 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the second derivative of v**5\/100 - v**4\/60 - v**3\/30 + v**2\/10 + 33*v. Factor t(z).\nAnswer: (z - 1)**2*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73*j - 80*j + 17 - 22 + 23.\nAnswer: -7*j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (16\/176)\/((-69)\/(-28083))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/13? (a) -222 (b) -1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 2*p**2. Let a(o) be the third derivative of 0*o**3 - o**2 + 0*o - 1\/10*o**5 + 0*o**4 - 25. What is v(a(j))?\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-50)\/8 + (0 - (-1)\/4). Is w greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -220, -473, -726, -979?\n\"Answer: -253*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2788785 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of q**2*x**3 - 5*q**2*x**2 - 197*q**2*x - 237*q*x**6 wrt x?\nAnswer: 6*q**2 - 28440*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 214528, 215008, 215488?\n\"Answer: 480*y + 214048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1238123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 - -3. Suppose k = h + 2, -67*h + 72*h + 10*k - 50 = 0. Which is the closest to h? (a) 0 (b) t (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 8*k - 1. Let s be p(-1). Let f(q) = -2*q - 13. Let c be f(s). Let v(g) = -g**2 + 6*g - 2. Let m be v(c). Solve -m*x + 0*x = 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 13*(-3 - (-40)\/4). Is g\/7 + 3\/1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -200447\/147276 + -1\/12273. What is the common denominator of 2\/(-3) - (-29)\/(-90) and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 495 is divided by 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 1126 + 1097 - 2212 - 74*g as h*g + u and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of r**6\/120 - r**5\/10 - 7*r**4\/24 - r**3\/3 - 31*r**2 - 1. Calculate z(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 357 - 252. Let h = 107 - m. Let y = 1 + -1.1. Which is the closest to y? (a) -0.3 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-27)\/(-324) - (-11)\/((-363)\/(-154))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1071708 and 184.\nAnswer: 2143416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.07 + 0.23. Let q = -39352 + 39352.2. What is the third biggest value in -1, -4, q, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 + 17 = -w. Sort 0, 2, w in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -161899 - 117?\nAnswer: -161a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -3397571*-68\nAnswer: 231034828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5 and 26\/15555.\nAnswer: 15555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:54 PM and 2:18 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 6457, 6874, 7297, 7726, 8161?\n\"Answer: 3*u**2 + 408*u + 6046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnwnwneek. What is prob of sequence enen?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1331) + -4)*-2 + (sqrt(1331) + (sqrt(1331) + -5 + sqrt(1331) + (sqrt(1331)*-2 - sqrt(1331)) + sqrt(1331))**2)*3 + 4.\nAnswer: 87 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1458) + -2)**2 - sqrt(18)) + 1.\nAnswer: -111*sqrt(2) + 1463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*q + 6*q - 14*q + 18505*q**2 - 37134*q**2 + 18627*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -7*i**2. Let r(g) = -2*g. Let w(b) = 16*b**2 - 2*b. Let m(q) = 2*r(q) - 2*w(q). Give m(u(c)).\nAnswer: -1568*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p - 10*p - 3 = 0. List the prime factors of ((-6)\/(-9))\/(p\/(-54)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/12 + 1311\/12 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 0*i - 34 = -5*v, -3 = -3*v + 4*i. Suppose 6*x = 11 + 13. Suppose 3*h - 54 = -x*k, k = 3*k - 3*h - 36. Solve 10*l = v*l - k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1396882871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/28736638 and 28\/9?\nAnswer: 258629742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -13*h - 9. Let f be i(-9). What is the greatest common divisor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.4, 0.3, 284, -5, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000064655 rounded to six dps?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 349083 and 6426.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2*q**3 - 2*q**3 - 7 + 11*q**2 - 4*q + 7*q + q**3 - 6. Calculate h(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120629 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 v(u) = 39*u - 659. Let a be v(17). Solve -a*m + 7*z = 6*z - 22, -5*m + z = -27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 405060849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -430, -1666, -3704, -6544, -10186, -14630?\n\"Answer: -401*o**2 - 33*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 236135069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the first derivative of 56*y**2 - 2\/3*y**3 - 1568*y + 22. Factor p(n).\nAnswer: -2*(n - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1714 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 16 = -5*r, 0*m + 4*m + 5*r + 14 = 0. Let b(f) = f**2 - 16 + 0*f**2 + 4*f + 17. Is b(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -4026*p. Let c(k) = 35*k. Let h(d) = 231*c(d) + 2*j(d). Let w(l) = 37 - 2*l - 67 + 11 + 19. Calculate h(w(f)).\nAnswer: -66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/9)\/(2\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -50\/143 and 38\/221?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 13966 or 14421?\nAnswer: 14421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2*s**3 - 3*s**2 - 4*s - 3. Let h(r) = 2*r**3 + 2*r**2 + 3*r + 3. Let t(j) = -3*h(j) - 2*n(j). Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 161*c - 5 + 5 - 204*c - 406*c as q + y*c and give y.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0\/5)\/(-25 + -4 + 31). Let 0 + 1\/5*o**3 - 1\/5*o**2 + 1\/5*o**4 - 1\/5*o**5 + v*o = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 24986*f + 199891. Give q(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 20625463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.13157 in -4\/3, -12, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 11\/10 (b) -1 (c) 4 (d) 1\/3 (e) 12 (f) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3\/8 (b) 1\/9 (c) 2 (d) -1\/4 (e) -2\/3 (f) 2976\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, e: 9, v: 1, b: 4, u: 2}. Give prob of sequence eee.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 467.95 to the nearest integer.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a - a - 4*a - a**2 - 5 - 1. What is t(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*m + 92 + 180. Let w(d) = d**2 + 16*d - 13. Let p be w(m). Solve 10 = 4*g - n, n = p*n - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3 - 970*l**2 - 6741*l.\nAnswer: -l*(l + 7)*(l + 963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 42*f. Let o(a) = -714*a. Let r(k) = -84*m(k) - 5*o(k). Let z(g) = 370*g + 401*g - 1142*g + 370*g. Give z(r(j)).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -11*y - 53. Which is the third smallest value? (a) -1 (b) y (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -5 and 1631844.\nAnswer: 1631839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*4*-6)\/(sqrt(1296)*-3).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*r + w - 35 = -28*r, -3*w = -15. Solve -8 = -r*c + 32*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31142*s**2 + 331*s**2 - 7785*s**2 + 786*s**2.\nAnswer: -37810*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.5, 1\/5, 3424?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 356 = 4*l - 2*s, 3*l + 2*s = -3*s + 241. Calculate the remainder when 246 is divided by l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 30*h + 1351*h - 258*h - 400*h - 39042 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1194206213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**1\/(o\/(o*o**7)))**(12\/5)\/(o**(4\/5)\/((o**(-2\/9)*o)\/o)*(o**(-1\/3))**25) assuming o is positive.\nAnswer: o**(1193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.0567748274 - 0.3\nAnswer: -0.3567748274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*d**4 - 3*d**4 + 4*d**4 - d**2 + 4*d + 2*d**2 to the form u*d**4 + l + h*d + p*d**3 + a*d**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from cczzctztczctzccczztz?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 501 divide 25023370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from htthcchhhhpjchha. What is prob of picking 1 j and 1 t?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/5*m**2 - 84\/5*m - 588\/5.\nAnswer: -3*(m + 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*f**2 - 1889*f**3 - 594*f + 593*f + 55*f**2.\nAnswer: -1889*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.293147 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -7*l - 3. Give b(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -65 divided by 11588\nAnswer: -65\/11588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -15481169 by -1.\nAnswer: 15481169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (84247 + 4*d - 2*d - 84064)*(-2*d**3 + d**3 + 0*d**3) as b*d + z*d**2 + g*d**3 + a*d**4 + q and give g.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 - (-1 + 1 + 2). Let x = u - -4. Suppose r + 5 = -m - x*m, 4*m - 20 = 4*r. Solve -6 = 3*k - m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3226 - 3226.000001453. What is k rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.13241 + -7.13241. What is the fifth biggest value in c, -190, 0, -0.3, 0.1?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1641546 divided by 438\nAnswer: -273591\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -105 divided by 145374\nAnswer: -35\/48458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (1449\/805)\/((-3)\/30*1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 4*z + 20 + 5*z**2 - 11 + 4*z**3 - 14 - 4*z**2. Let h(y) = -3*y**3 - y**2 - 3*y + 4. Determine 5*h(s) + 4*m(s).\nAnswer: s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - 2)*2*510\/(-204). Solve 6*v - w*v - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 2*y**4 - 1 + (-y**4 - y**4 + y**4)*(-295 - 1128 + 107) to a*y**2 + c*y**3 + b*y**4 + f + x*y and give b.\nAnswer: 1318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14041 + 14159. Solve x - 166 = 12*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 121585065 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18134166 divided by 15226.\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + z - 680 = -5*w, -5*w + 3*z + 660 = 0. Suppose 3*s = -0*s + w. Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of p**4\/12 + 5*p**3\/3 - 23*p**2\/2 + 2*p + 55. Calculate m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47*114.373.\nAnswer: 5375.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -144 - -72. Calculate the common denominator of 69\/8 and (-9)\/(-6)*(-202)\/f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 18*d - 1. Let l be z(1). Let v = l + -10. What is the remainder when 25 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9 and 3794?\nAnswer: 34146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112 - 90 = 11*c. Suppose -3*b + 18825 = -2*b + c*l, -75324 = -4*b - 2*l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.08 - 5.08. Let s be (-2)\/(-3) + 16\/(-30). Which is the third biggest value? (a) r (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:40 AM and 7:45 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and 35292975?\nAnswer: 105878925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*h - 11*h + 35 = a, 0 = -5*a - 5*h - 35 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 8*19.7\nAnswer: 157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-448)\/(-24)*-36*24\/(-32). Is 2017\/4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -8, 4, -1272 in ascending order.\nAnswer: -1272, -8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 882 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 divided by 1658280.\nAnswer: 1\/82914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(78) + sqrt(78))*-3 + sqrt(78))\/(sqrt(6)*-2*6))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2526 divided by -842?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 7*b + 49 = 0, -994 + 1022 = -3*d + 4*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kjjkjj. What is prob of picking 2 j and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 21980052551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 16 in 13, 2, -63257, -0.5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qlqqqqqcqllqqqqol. What is prob of sequence qq?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 35 = -561. List the prime factors of 26\/(-91) + z\/(-7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 3*p - 142, 258 = 5*p - h + 5*h. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 + 7*q**2 + 6*q - 6. Suppose 2*c = 5*i - 35, -44 = -4*i - 5*c - 49. Calculate the remainder when s(-5) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26650, 53314, 79978, 106642?\nAnswer: 133306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 3:30 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 2*s - 2. Let m be ((-6)\/(-4))\/((-3)\/(-14)). What are the prime factors of v(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -155441553 (base 6) in base 4?\nAnswer: -30301230231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -2*f + 195 + 117, 0 = -5*c + 20. What is the highest common factor of 240 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(11) + 2)**2 + (sqrt(11) - ((sqrt(220)\/sqrt(10) + sqrt(22))\/sqrt(2) + sqrt(11))) + -3*(1 + sqrt(44))*2.\nAnswer: -2*sqrt(11) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 142, 151, 162, 175, 190, 207?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -42.999973 - -43. Let h = 0 + a. What is h rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 2 - ((11 - (7 - 2)) + 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 1815*u**2 - 607*u**2 - 607*u**2 - 995*u - 606*u**2 = 0.\nAnswer: -199, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:38 AM and 8:50 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 577 - 573. Suppose 6*j + t*a = 7*j - 336, 0 = 5*a + 15. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -301.66 to the nearest integer.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 349946001.6 rounded to the nearest 1000000?\nAnswer: 350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 150390689 to the nearest integer?\nAnswer: 12263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 + 3*m**2 - 2*m + 3. Let c be u(-3). Find the second derivative of -o**2 - 7*o**2 - c*o + 7*o**2 wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 79 + 314?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 270361 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 196084.7902 - 196033. Let f = 1.2268 + m. Let n = f + -52.8. What is n rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o - 1. Let t be w(-5). Suppose -s = -6*s + 60. Let c(v) = 8*v - 2 - s*v + 5*v. Determine c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**2 + 9*w. Let j be d(9). Suppose 5*c = -j*c + 30. Suppose -c*y + 2 = -7*y. What is the third smallest value in y, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1118 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 2*k - 11 = 0, 0*u - 3*k + 36 = 2*u. Suppose 8*j = 3*j + u. Let r be 25\/5 - (3 + -3). Solve -x = -0*x + j*n - 2, -6 = -3*x + r*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.863414 days to microseconds.\nAnswer: 679398969600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 65384006.\nAnswer: -3\/65384006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 1113 + 418 = 0. Suppose 2*p - 3*i - 2*i = 65, 4*p = i + r. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 199751120 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - m + 0)*(-1 + 2*m**2 - 5*m**2 + 2*m**2).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 6, 27, -3, 161 in ascending order.\nAnswer: -4, -3, 6, 27, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g**3 + 10*g**2 - 5*g - 6. Suppose -8*v = -16 - 16. Let w be j(v). Solve -1 = -w*q + 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*i + 1281*a - 1136 = 29*i + 1277*a, -2*i + 16 = 5*a for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {w: 1, r: 3, y: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 139\/18 and 21\/286.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 30987.47 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 3 - 88 = 5*m, 5*m = -4*s + 77. Let t = -16 + s. Let n be t + ((-15)\/(-5) - 4). Solve o = n + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6802810 + -3302840. Let y be s\/7 - (-14)\/49. Suppose -4*w + 9*w = j + 99990, -2*w = -5*j - y. Round j to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + o = -5*f + 2147, 0 = -5*f - 3*o + 5370. List the prime factors of f.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9, 37, 73, 111, 145, 169, 177?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(4 + sqrt(242)*-2 - 2*(sqrt(2) - (5 + sqrt(2) + 0 - sqrt(2))))*-1)**2.\nAnswer: -16800*sqrt(2) + 33700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -72*r**4\/5 + 291*r**3\/5 - 369*r**2\/5 + 30*r = 0. What is r?\nAnswer: 0, 1, 25\/24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.1497 - 0.5397. What is the second smallest value in -4, 3, 1, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 16, 3*i - 6*c = -c - 14. Suppose 0 = 3*v - 5*m - 139, i*v + 2*v = 3*m + 200. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -3*r**5\/2 + 1083*r**4 + 3261*r**3 + 1092*r**2 - 6519*r\/2 - 2175 = 0.\nAnswer: -2, -1, 1, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/32, -2\/13, -0.5, -32\/13, -1\/4, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s + 3*b - 15, -2*b = -s + 3*b + 14. Suppose -i - 4*y + 3*y - 21 = 0, i - 2*y + 12 = 0. List the prime factors of 330\/s*i\/(-15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 138959 and -0.162 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -315.059 + 0.059. Let j = -313 - w. Let d = -2 + 2.2. Sort d, -2, j, -1 in increasing order.\nAnswer: -2, -1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 3*p = -3, -p + 0 = 3*u + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:00 PM and 9:06 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 2*g - 3. Let j(h) = 2*h**2 + 65. What is j(d(r))?\nAnswer: 8*r**2 - 24*r + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 + 0.739847319235?\nAnswer: 0.939847319235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 726, 2, -1 in descending order.\nAnswer: 726, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -8*i - 3. Let g(f) = 9*f + 1. Let d(k) = -9*k - 2. Let z(m) = -3*d(m) - 2*g(m). Determine -4*c(t) - 3*z(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18688 + -4227. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 35517651.0066 - -0.0283.\nAnswer: 35517651.0349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 4*p - 56, 4*v + 24 = -5*p + 1. Let h be ((-2950)\/(-20))\/((-6)\/v). Calculate the greatest common factor of h and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u**2 + u**2 - 3*u**2)*(0*u**2 + 4*u**2 - 2*u**2) - 3 - 13*u + 13*u - 3*u**4.\nAnswer: -7*u**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0010175 to five dps.\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -79 - -62. Let h = -13.88 - 0.12. Let i = g - h. Which is the biggest value? (a) -2\/3 (b) -2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-195)\/2106*((-51)\/60 + 3\/(-4))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 32522*o - 130102. What is a(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 648 > 631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aalu when four letters picked without replacement from {l: 7, u: 2, a: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8 - -8. Suppose t = g - 6*g - 160000. What is g rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f**(5\/8)\/f))\/f**(-3\/8) assuming f is positive.\nAnswer: f**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -60*i + 1. Suppose 0*v - 6 = -2*j - 2*v, -4*v = -5*j - 21. What is the units digit of t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in 2402432\/11 + 4384\/11*s + 2\/11*s**2 = 0?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 133970371.73 to the nearest ten thousand.\nAnswer: 133970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of 3*x - 1\/45*x**6 - 7\/9*x**3 - 2\/3*x**2 - 1\/2*x**4 - 1\/6*x**5 + 0. Find v, given that q(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -6 + 0*y - 3*y + 11 + 0 - 18*y**2. Let s be m(2). Let u = -58 - s. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25709 = 83*a - 87*a - 5*x, -a = 2*x - 6428. Is 126 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**2 + 74*m + 410. Determine n(-68).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.14 and 121.\nAnswer: -258.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 4*f**3\/7 + 5632*f**2\/7 + 1993680*f\/7 + 7884864\/7 = 0.\nAnswer: -702, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -36 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-5) - (-217)\/35. Let n be (-3)\/h - (-916)\/8. Calculate the highest common factor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (y - 11*y + y)*(3*y - y + 0*y)*(-3*y**3 - 14*y**2 + 14*y**2).\nAnswer: 54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 5*a**2 + 14*a + 11. Let b(j) = -2*j - 4*j + 4 + 9*j + 2*j**2 + 2*j. Suppose 3*s + 27 = -6. Let l = -8 - -12. Determine l*p(r) + s*b(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0 and -1112314141?\nAnswer: 1112314141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8732916.\nAnswer: 2, 3, 23, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 3*b - 2 = -1, -4*u = 3*b - 7. Suppose l = u*l - 3, -5*l = -5*o + 40. Suppose t - o = 1. What is the least common multiple of 9 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1446, 3256, 5420, 7938, 10810, 14036, 17616?\n\"Answer: 177*k**2 + 1279*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b - 39 = 3*y, 2*b + 53096*y - 53100*y - 46 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*q = 3*q. Find j such that 5*j**5 - j**4 + 7*j**4 + 30*j**2 - 6*j**4 - 35*j**3 + q*j**5 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-60)\/14 - 6\/(-21). Let y be s\/14 - (-363)\/21. Solve -k = -4*n - y, 0 = k - 6*k + 5*n + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 58 + -56.3. Let v(q) = q**3 - 3*q**2 - 5*q + 4. Let l be v(4). Let j = -3331 + 26649\/8. What is the closest to g in 0.1, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 - 27\/(-12))*4. Suppose -l*k = -5*c + 35, k - 5*c = -c - 22. Let j = 5 + k. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -251464 by 3698.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 553*w + 4*m = 549*w - 49 + 149, -4*w + 3*m + 114 = 0 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1472, -1470, -1468, -1466, -1464, -1462?\n\"Answer: 2*f - 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**3 + 3*s**2 - 4*s - 11. Let p be u(-5). Let w = 99 + p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, h: 1, p: 6, g: 1, f: 1}. Give prob of sequence gs.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t*t**(-2\/3))**(-36)*(t**(-2\/3))**(-32))\/((t*t**(-1)*t*t*t)**(-28)*(t\/t**(-3))\/(t\/(t*t\/(t**(2\/5)*t)*t))) assuming t is positive.\nAnswer: t**(791\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be 14\/(-91) + 366604\/26. Round s to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (1 + -2)\/(56\/(-1232)) and 332?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19*(-3*9\/(-6))\/((891\/22)\/(-27)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 100, 97, 86, 61, 16?\n\"Answer: -h**3 + 2*h**2 - 2*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2e3b (base 15) to base 3\nAnswer: 111122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**4 - o - 6713*o**2 + 19*o + 4*o**4 + 6692*o**2.\nAnswer: 3*o*(o - 2)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1354786819 to the power of 1\/2, to the nearest integer?\nAnswer: 36807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 360076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14164 = 13*l + 14112. Solve -5*g = -7 + 17, 5*v - l*g - 18 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + 21 + -15 + 0 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 25779*n - 1288938. Determine j(50).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23 + 22.1. Let j = g - 0.1. Let t = 350 + -1046\/3. Sort j, t, 2\/9 in decreasing order.\nAnswer: t, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -22 - 3. Calculate the smallest common multiple of 16 and -10*(-5)\/(q\/(-4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 757879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -1745*t + 4. Let c(v) = 3529*v - 9. Give -2*c(a) - 5*x(a).\nAnswer: 1667*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -324, -331, -342, -357?\n\"Answer: -2*b**2 - b - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8*t**2*w**3 + 3*t**2*w + 2529*t**2 + 8790*t + 7*w**3 - 1 wrt t.\nAnswer: 16*w**3 + 6*w + 5058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 0*r - 68680*r**2 + 0*r + 71491*r**2 in the form z*r**2 + t*r + q and give z.\nAnswer: 2811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(1 + 3*(sqrt(208) + sqrt(208) + sqrt(208)*2 + -5 + -2*(1 + sqrt(208))))**2.\nAnswer: -5760*sqrt(13) + 47328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1039 is divided by 211?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**2. Let z be (-6 - (-140)\/8) + 5. Let u(h) be the first derivative of -5 + 0*h - z*h**2. Give c(u(y)).\nAnswer: 1089*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -33, -0.3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the first derivative of -38\/5*l**5 + 0*l**3 + 0*l**4 + 6*l + 20 + 0*l**2. What is the first derivative of x(w) wrt w?\nAnswer: -152*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -314 - -5?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1315 - -8239. What are the prime factors of n?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -49*b + 829. Let t be x(0). Solve -t*j + 64 = -837*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l - 4. Let g(n) = 8*n**2 - 46*n. Let i be g(6). Let c(u) = -14 - 2*u + 0*u + i - 6. What is -4*c(m) + 7*o(m)?\nAnswer: m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i - 5. Let f(r) = -5*r + 25. Let k(m) = -11*c(m) - 2*f(m). Let h be k(4). Solve 4 = a + h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 4*o - 16. Let s(y) = -2*y**2 - 88. What is q(s(v))?\nAnswer: -8*v**2 - 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -3*z**2 - z + 2. Suppose 0*b = 5*b + 25. Let t(d) = -2*d**2 - 6*d + 6. Let i be t(b). Let p(f) = -10*f**2 - 3*f + 7. Calculate i*s(o) + 4*p(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -7734*i - 5498*i = -220262 - 904458 for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -188, -611, -1248, -2099, -3164, -4443?\nAnswer: -5936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-121)\/78 + 1 + 108\/216\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30 - -50. What is the derivative of -7*u + 0*u - f + 0*u wrt u?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -395236*s**2 - 4353278608 + 235276*s**2 - 5*s**4 - 3660*s**3 - 1254286997 - 16590433*s - 844710*s**2 - 105979307*s = 0. What is s?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 - -4) + 33 - 1. Suppose b - 43 = -h, 0 = 3*b - 2*b + 3*h - d. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -163 + 162.27. Let f = 0.72649 + i. Round f to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 48 * -2008\nAnswer: -96384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-51)\/(-6) + (-6)\/4. Suppose g*y + 2*b = 4*y + 295, b - 293 = -3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - (-2 - -1)\/1. Let k = 5 - 0. Solve s - j*s = -k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:15 AM and 5:51 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -49.4 - -89. Let d = -40 + n. Sort -2, -0.5, d, -4 in ascending order.\nAnswer: -4, -2, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**2 + 502*c + 1508. What is n(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of i**6\/42 - 29*i**5\/35 + 249*i**4\/28 - 559*i**3\/21 + 169*i**2\/7 - 7016. What is d in l(d) = 0?\nAnswer: 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 - -12084.\nAnswer: 12081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -38620094 or -38620091?\nAnswer: -38620091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 55745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 397 or 463?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 4*p - 323 = 0, 3*p = -4*i + 379 + 60. Suppose 2*h = -l + 7 + i, -5*h - 4*l + 290 = 0. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uteo when four letters picked without replacement from euookeotokokkos.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4273623 is divided by 679.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -1.4413498 to 3 dps.\nAnswer: -1.441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 43725852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/19)*y*(y**(1\/2)\/y)\/y*y*y*y*y**(-2\/7)\/y**(-3\/2))**(2\/127))**26 assuming y is positive.\nAnswer: y**(24960\/16891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2 * 167.6\nAnswer: 335.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -6*b**3 + 4191*b - 2. Let a(k) = -22*k**3 + 12572*k - 7. Give 2*a(z) - 7*v(z).\nAnswer: -2*z**3 - 4193*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 153 + -156. Suppose -c + 4 = c. Sort -4, -1, h, c in ascending order.\nAnswer: -4, h, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 29313 - 29312.99982777. Round v to 6 dps.\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 388801 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 322, 320, 316, 310, 302, 292?\n\"Answer: -g**2 + g + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z - z + 2*z. Let l(h) = -h**2 + 2*h - 4. Let n(u) = 66*u**2 - 10*u + 20. Let x(f) = 5*l(f) + n(f). What is k(x(v))?\nAnswer: 122*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 6*d**3)*(-6*d + 4*d - d) + (-d**3 - d**3 + d**3)*(3*d - 2 + 2).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 20810599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 87\/5 of a kilometer in meters?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnx when three letters picked without replacement from {n: 2, x: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/2 and -53\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of v**3\/6 + v**2\/2 - 5*v. Let t be s(-2). Let g = 45 - 494\/11. Is t at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6996.299934126 - -6996.3. Round p to six dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - ((0 - 5) + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 92, -0.07, 5, 275, -19?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes after 11:38 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*a + 2*a + 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11379 - 4*r**2 - 11379.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 5078501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.65349 - -0.54236. Round d to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(1\/(-225)*-5). What is the common denominator of (1\/(-2))\/(w\/1692) and -7\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand a - a - a + 3 - 3 - 2*a + (-a + 2*a + a)*(6 - 4 + 0) + 0*a - 6*a - 7*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 3)*(201 - 13*u - 201).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_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 the square root of 231963573 to the nearest integer?\nAnswer: 15230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -211 - -215. Suppose 5*m + 6405 = 3*o, -2*m - 6*o = -5*o + 2551. Let i be 2\/9 + m\/(-81). Solve 4*n = -5*f - i, v*f + 17 = -f - 3*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 28 - 30. Let p be -5*((2 - 2) + c\/(-1)). Does 6 divide ((-149)\/(-18) + p\/(-45))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 61 - 27. Let u(d) = -80 + d**2 + 36 + 17 + 7*d. Let a be u(-13). Calculate the greatest common factor of m and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 - 15. Put -14, -5, m in decreasing order.\nAnswer: m, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -2*d. Let l(m) = -161*m**2 + 15. Let y(c) = 81*c**2 - 8. Let b(v) = -6*l(v) - 11*y(v). Determine i(b(a)).\nAnswer: -150*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7048.72 - -7612. Round b to the nearest integer.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 234 + -0.1213\nAnswer: 233.8787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 1418, 13\/28, 0.3 in descending order.\nAnswer: 1418, 13\/28, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*h - 5*h**3 - 70*h**2 - 40 + 17*h**4 - 5*h**5 - 13*h**4 + 16*h**4 + 43*h = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/5 + (-811860)\/(-150). What is the highest common factor of 132 and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qwm when three letters picked without replacement from qqmmqqmwmmmmqmmqm.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.0427848 - -1164\nAnswer: 1163.9572152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - 1. Let u = -0.0159 - 3.9841. Let m = 0.3 - 0.8. What is the smallest value in u, m, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7\/96 in 3, -4\/7, 5, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.6 and 1.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r\/(((r*r**4)\/r)\/r)))\/r**(2\/9)*(r**(2\/7))**14)**16)**(-3\/4) assuming r is positive.\nAnswer: r**(-244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/36*-3)\/(-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/(c*c**(-2\/21)))*c*c*c*c*c**21*c**(17\/3)\/(c\/c**(-28)))**(-30) assuming c is positive.\nAnswer: c**(-540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of b*c*p**2*t - 4*b*c*p**2 + 3*b*c*p - 8*b*p**3*t + 12*c*p**3*t + 2*c*p**2*t - 16*c*p*t + p**3*t wrt p?\nAnswer: -48*b*t + 72*c*t + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 874666.\nAnswer: 2, 13, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 682478 is divided by 136452?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 4:47 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6016 - -17190. What is the greatest common divisor of 82 and d?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sttbrbbbbbbbtbybtabt. Give prob of sequence ys.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4 (b) -2.4 (c) 351 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2542453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4\/7, -2, 8, 7, 3\/46, -1263?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1153648?\nAnswer: 2, 72103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 12:36 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 + 4*v + 4. Let g be q(5). Let u(j) = j**2. Let h be u(g). Let w be (3*-2)\/(-3 + h). Solve -t - 2*t - 11 = c, w*c = 2*t + 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q*q*q**(-1)\/q*q))**(-13\/2)*q\/(q*q**(1\/5))*q**(-2\/11) assuming q is positive.\nAnswer: q**(-21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 5*i - 13. Let g be a(4). Suppose -18*k = -g*k - 154. Calculate the remainder when 30 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (-188 - 81 - 113)*(-17*y - 14*y + 19*y).\nAnswer: 4584*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 - (-4433018)\/((-1)\/(-1)). Let p = h + -453013. Suppose -w - 3*n = -3980003, 2*w + 5*n - p = w. What is w rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -327*r**3 - 328*r**3 + 656*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -4 + 13. Suppose -l = -2*w - 60, -l + 0*w - u*w = -55. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -919 = -5*z + 736. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -27\/14 + 5\/2. What is the smallest value in u, 0.3, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 309 + -306. Differentiate 194*v - v**2 + 10*v**b - 201*v - 37 + v**2 wrt v.\nAnswer: 30*v**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 144 divided by 71.\nAnswer: 144\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10342 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3092 divided by -1?\nAnswer: -3092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-38 + 54 - -3) + 0 + 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times 660\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 5*g + 32 = 0, -2*z - 3*z = 3*g - 18. Suppose 2*f = -z + 8. What is the least common multiple of (-7 + 1)*3\/(-6)*f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -121 = -3*m - 31. Let s = m + -20. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((4\/(-6))\/(410\/(-615)))\/(74\/(-4))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -22.9 - -23. Let i = 0.04 - 8.04. Which is the third smallest value? (a) i (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.38581 weeks in days?\nAnswer: 23.70067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of a**4 + 17406*a**3 + 2*a**2 - 98*a + 413 wrt a?\nAnswer: 12*a**2 + 104436*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -23, 56, -1, 3, -0.1, 987 in descending order.\nAnswer: 987, 56, 3, -0.1, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1489 bigger than 1489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*w - 70*w + 153 = 0. Suppose 0 = w*d - 146*d - 6608. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-77)\/(-44))\/((8\/(-4))\/(-16)). Suppose 0 = -k*n + 110871 - 27529. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 25266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**2 - 8*c**2 + 6*c**2)*(-4 + 3267*c - 55*c + 4 + 2019*c + 1926*c).\nAnswer: -7157*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 92.51*9\nAnswer: 832.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 - s**2 - 1. Let t(v) = 53*v**3 + 74*v**3 - 60*v**2 + 21*v**3 - 60 - 100*v**3. Calculate -120*r(c) + 2*t(c).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*t + 4853 = -22115. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*i + 18*i + 75 = 0. Which is smaller: i or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -45\/808? (a) 1\/2 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j\/(j*j**(-11\/3))*j)\/j)*j*j*j\/(j**(4\/5)*j*j))**(-21)*((j*j\/(j\/(j\/j**(1\/6))))\/j**(-2\/5))\/(j**(1\/3)\/(j**5*j)) assuming j is positive.\nAnswer: j**(597\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*w**4 - 3*w**4 - w**4 + (0 + 1 - 2)*(7*w**4 - 3*w**4 - 3*w**4) + (3*w - w - 4*w)*(15*w**3 - 2*w**3 - w**3).\nAnswer: -26*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the third derivative of -2*l**7\/105 + 37*l**6\/120 + l**4\/8 + 2*l**3\/3 - 289*l**2. Find the second derivative of r(c) wrt c.\nAnswer: -48*c**2 + 222*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -819 divided by -117?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4554134 + -44?\nAnswer: 4554060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(78)\/(2*2*sqrt(6)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 54*x**2 - x - 1. Let b be j(-1). Let a(r) = -r**3 - 2*r**2 + 7*r + 6. Calculate the remainder when (-1 - b\/4)*-2 is divided by a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 81537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0*2*2\/(-16). Let f be (28\/12)\/(-7)*a. Calculate the common denominator of 21\/2 and (-159)\/48 - (f + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(102)*2)\/sqrt(6)*1.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 22 + 0*b + 2*b - 14. Let d(v) = -v - 3. What is 8*d(n) + 3*r(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 70450*l**3 - 23187*l**3 + 45806*l**3 - l.\nAnswer: 93069*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -33, -465, -0.5, 1\/5 in decreasing order.\nAnswer: 1\/5, -0.5, -2, -33, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/2*226\/(-4294).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, a: 6, r: 1, v: 1, b: 2, y: 3}. Give prob of picking 2 d, 1 r, and 1 y.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be (112\/(-10))\/(-4)*-10. Let h = -18 - u. Solve -4*v - q = -22, -2*v - q - h = -22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 478 times -16.3\nAnswer: -7791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 107359*h - 429440. Calculate c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -2*g - 4. Let p be ((-2)\/(-3))\/(-1) + (-198)\/(-54). Let d(a) = -2*a**2 + 5*a - 2. Let j be d(p). Determine t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 101 (base 4) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -228 (base 12) in base 8?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 24 = 4*n - 0*s, 2*s = 0. Let a = 3 - n. Let q be 8\/12 + 1\/a. Which is greater: 2\/5 or q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -56*l**5 - 51*l**5 - 6*l + 31*l**5 - 180*l**5 - 2*l**3 - 2*l**2 wrt l.\nAnswer: -15360*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1397 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -135*k**3 + 4*k**2 - k. Let u(n) = n**3 + n**2. Calculate -l(c) + 4*u(c).\nAnswer: 139*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 281\/190 - -2\/95. Let t = -0.08 - 0.12. Sort n, -3, t.\nAnswer: -3, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**3\/2 + 161*u**2\/2 + 3116*u - 10086.\nAnswer: (u - 3)*(u + 82)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 2*o**2 - o - 1. Let k = 109 - 95. Calculate the remainder when k is divided by g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, s: 2, w: 1}. What is prob of picking 1 w and 1 n?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5946102 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2287 - -410. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 146 - 142. Solve 4 = r*u - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3694453*d + 3545876.\nAnswer: -3694453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((2\/(-10))\/(80\/(-640)))\/((-2)\/(-20)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/10 - 394\/(-10). Suppose -4*g - 19 = -i. Suppose 5 = q, 3*q - 10 = 3*j + 11. Sort 4, g, j in increasing order.\nAnswer: j, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/((3\/(-18))\/(3\/12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -196241 - -8723725?\nAnswer: 8527484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -247*a*c**2 + 7*a*c - 27*a wrt c?\nAnswer: -494*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 385895 rounded to the nearest 1000?\nAnswer: 386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 18 = -51. Let i = 13 - k. Sort i, -1, -5.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -70840*u**3 - 11*u**2 + u - 505.\nAnswer: -425040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -147 = 6*k + 15*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvvvvvvvtvvvt. Give prob of sequence vt.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) 1\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 61762.\nAnswer: 2, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 + 22\/(-6))*39. Let d = z + 54. Solve 0 = -2*k + 5*g - d, 4*g + 0*g - 28 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0, 26, 5\/3, 4, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 3*j**2 - 6*j - 37. Let k be n(16). Suppose 9*t - 4*t = k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -90*o + 64*o + 130 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3004 - -2042. Let u = -965.93 - l. Let h = u - 0.07. Which is the third smallest value? (a) h (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3.1 (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 124381636.\nAnswer: 2, 823, 37783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8*-1 - (-1029 - -919))\/(1*-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -37*s**2 + 319. Let w(g) = 7*g. Calculate c(w(k)).\nAnswer: -1813*k**2 + 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -520 = 2*w - 4*w. Suppose 0 = -0*y - 3*y + 4*f + 157, w = 5*y - 5*f. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 14, -2, -4, 1, 7, 6 in descending order.\nAnswer: 14, 11, 7, 6, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 67656 = y - 0*y, -r + 16909 = y. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the first derivative of j**4\/36 + j**3\/18 + 29*j - 9. Let p(t) be the first derivative of a(t). Find y such that p(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of 2*b**5\/5 - 19*b**4\/2 - 2*b**3\/3 + 7*b - 49. What is the third derivative of z(o) wrt o?\nAnswer: 48*o - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= 3813773.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/43 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -51d4 (base 15) to base 5.\nAnswer: -1023144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -177 - -185. Suppose 820 = -3*n + c*n. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2018?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 212211002?\nAnswer: -212211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 - 11*f + 8. Let o = 117 + -46. Suppose -h - 3*h + 3*t = -43, -o = -5*h - 2*t. Let b be n(h). What is the highest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1140 + 1555?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 17020 (base 9) in base 10?\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -194*b + 1. Let n(m) = -4*m**2. Give y(n(c)).\nAnswer: 776*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 2*s - 7. Let j = 17 - s. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77710\/1636*8\/(-4)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((1 - 3)*2 - -4) + 3. Solve 2 = 5*u - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/(-8 - -1)*1. What is the closest to 2\/17 in f, -1\/11, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vp when two letters picked without replacement from whwkrvrvphph?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 4*g = 100, 3*g + 65 = 3*p + 14. Let k = 13 + -10. Suppose -5*l + k*t = -30, t = -3 - 2. Calculate the smallest common multiple of p and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -2*j + 2. Let q(d) = -6*d + 5. Let v(c) = 19*c - 15. Let x(s) = -7*q(s) - 2*v(s). Calculate -10*n(w) - 4*x(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 50513*o**2 + 34326*o wrt o?\nAnswer: 101026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20\/5)\/(((-348)\/(-126))\/(-29)*-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h = -28*h + 1218. Suppose 0 = 57*l - h*l + 1831. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (4*38\/57)\/4*(-15)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55159 and 6619080.\nAnswer: 6619080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 1.045 (c) 8207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-4\/7)*n**2)\/(n\/n**(-6)*n**(-1\/4)) assuming n is positive.\nAnswer: n**(-121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 50 + -47. Suppose 192*w + 9 + 27 - w**3 + 20*w**b + 8*w**3 + 141*w**2 = 0. What is w?\nAnswer: -3, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - -1 - (-12 + 18)) + -4 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 98978585?\nAnswer: 5, 337, 58741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/2)\/(25\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 241*o - 75 = 238*o. Let k = 39 - 29. What is the greatest common divisor of k and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 4 + 2. Let t be x - (0 + 8\/3). Let w = 0 + 4. Which is the closest to -1? (a) -0.2 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 913 + -911.1. Let h be (-16)\/120 - 32\/210. Which is the biggest value? (a) 0.4 (b) h (c) r (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(1\/2)*a)**(18\/7))**37*(a*a**2*a\/a**(-4\/13)*a)**(-2\/51) assuming a is positive.\nAnswer: a**(220457\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p - 1 + 1)*(3 - 4 + 2)*(-11*p**3 + 172 - 172).\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1495320 divided by -20.\nAnswer: 74766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 819 - 583. Let i be (8\/14)\/((-2)\/(-7)). Suppose -b = -2*y + i*l, l = -5*y - l + 590. List the prime factors of y.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -2*u + 5*n, 12*u + 50 = -102*n + 98*n - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -3*b**3 - 10*b**2 + 4*b. Let w(v) = -v**3 - 3*v**2 + v. Let i = -6 - -4. Let d(k) = i*l(k) + 7*w(k). Let a = -93550 + 93548. Give d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31361570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -81 = -i - 152 - 11 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/r**(2\/9)))**(2\/5))**(-30) assuming r is positive.\nAnswer: r**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a - 4*n = -2940 + 3285, 15*a + 155 = -2*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 4*m**4\/3 + 88*m**3\/3 + 144*m**2 + 800*m\/3 + 512\/3 = 0. Calculate m.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*l = 3*h + 4*l - 495, -2*h + 308 = 4*l. Let a be (4 - 7\/2)*h. Suppose -7*y = 31 - a. Let g(u) = -u**3 + 6*u**2 + 4*u + 9. Give g(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/107? (a) -3\/4 (b) -4 (c) -141.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10645*-350.8.\nAnswer: -3734266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-28)\/(-12) + (-6)\/15*(-15)\/9. Solve h - 7 = -2*o, -o + r*h = 3*o - 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = p - 30. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -12 - -55502?\nAnswer: 55450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be 7\/(2 + (-2 - 1)). Let n(b) be the first derivative of b**2\/2 - 3. Give n(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(1700) - -1*sqrt(1700))**2 - (sqrt(1700) - ((4*(sqrt(1700) + sqrt(1700)*2))**2 + sqrt(1700))))*-5.\nAnswer: -1257995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6898 divided by 2?\nAnswer: 3449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16*n**4 + 8*n**4 - 14*n**4 - 2*n**4 + 2*n**2 + 1 - n to the form z + f*n**4 + j*n + o*n**3 + d*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j + 1. Let d be (-3)\/6*(3 - 1). Let l(i) = -3*i**2 - 4*i - 5. Determine d*l(c) - 6*t(c).\nAnswer: 3*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -41 - 10?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:28 AM and 9:45 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(-25)*9*2\/(-6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/64 or 1?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 33 and 1038?\nAnswer: 11418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**3 + r**2 + r - 2. Let s be b(0). Let i be 2\/(-6)*18\/s. Determine u, given that -2\/7*u + 2\/7*u**4 + 0 + 6\/7*u**2 - 6\/7*u**i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 8) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -13, 1, 4, 266171.\nAnswer: -13, 1, 4, 6, 266171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 553 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0030697 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*s - 5*s + s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 55*g - 5*g - 6)*((4*g - 2*g + 0*g)*(1 - 1 - 1) - 3 - g + 3).\nAnswer: 180*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 427, 851, 1275?\n\"Answer: 424*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(4 + (3*(sqrt(147) + -2) + -4 + -4)**2).\nAnswer: -2940*sqrt(3) + 7615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-21)\/(-98))\/(15\/10)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -3*g - 22. Let f = 47 - 55. Let t be b(f). What is the third derivative of 15*s**2 - 22*s**4 - 2*s**2 + 2*s**t wrt s?\nAnswer: -528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (-25 - -22) + (72 - 111).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 235992 by 58998.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1839, -1842, -1845, -1848?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 305.5843 millennia in centuries?\nAnswer: 3055.843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 998263.9ug to kilograms.\nAnswer: 0.0009982639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -22 (base 4) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 f when three letters picked without replacement from {x: 10, f: 5, q: 4}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*q**3 - 5*q**3 - 3*q**3 + (15 - 244 - 15)*(-q**3 + 3*q**3 + 0*q**3) + 3*q**3 + 2*q - 2*q.\nAnswer: -491*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 34*w**3 - 2*w - 5*w**2 - 36*w**3 + 2*w**4 + 4*w**2 as q*w**4 + a*w**3 + l*w + c + b*w**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(396) + -1*sqrt(396)*-6 - 4*(sqrt(396)*1 + 4))*-2)**2.\nAnswer: -2880*sqrt(11) + 15856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(6*(0 + sqrt(1584) + -1 + 4 + -1*(sqrt(1584) + -2*(sqrt(1584) + 0))))**2.\nAnswer: -1370520 - 31104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 40, 85, 138, 199?\n\"Answer: 4*m**2 + 33*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22\/110)\/(2\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 480 and 586680?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 7 + 0 - 6*n - 1 - n**2. Let b be 21\/14*44\/6. Let c(r) = -2*r**2 - 11*r + 11. Let m(w) = b*j(w) - 6*c(w). Let f(g) = -2*g**2. Determine f(m(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 859859 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2697000 divided by -186\nAnswer: -14500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16 + -16. Suppose 4*y - 4*r - 200 = z, y = -0*y + 4*r + 44. Suppose 4*d + d = -3*v - 90, y = -2*d + 2*v. Sort 4, d, 1.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7504.705 millilitres in litres?\nAnswer: 7.504705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + p = 6, -5*w + p = 4 + 3. Let i = -28\/3 + 9. Let x = -0.03 + -0.47. Sort w, i, x.\nAnswer: w, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 2 = -42. Suppose -n = -6*h + 2476. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 8*c - 37. Let g be i(15). Suppose g + 257 = 5*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/8 + 195\/60. Find p, given that -4*p**3 + 5*p - 2*p**g - 5 + p**3 + 5*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9679, -4, 235, 0, 2.\nAnswer: -9679, -4, 0, 2, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 466 - 462. Let j be (-3)\/9 - (-22)\/30. Which is the second smallest value? (a) h (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1095\/4672)\/((-2)\/4*1*3). Which is the second smallest value? (a) 1\/4 (b) 4 (c) -3\/2 (d) 1\/2 (e) u\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + -3 + -1 + -1 - (5 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*u + 0*u + 2*u**3)*(2 - 7 + 3) + (0*u**3 - 7*u**3 + u**3)*(2 - 3 + 2) + 5*u**3 - 3*u**3 - 4*u**3 to the form i*u**3 + q + l*u + r*u**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*p = -29*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**5 + 2787*l**4 - 2791*l**3.\nAnswer: l**3*(l - 1)*(4*l + 2791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 711380170 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -9a79a (base 14) in base 5?\nAnswer: -43442232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((77\/21)\/(-11))\/(-15*(-5)\/30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 609 = i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -20 (b) -7 (c) 0.3 (d) -1\/2 (e) 1 (f) -0.0434 (g) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -1 + -2 + 2 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 289612196 - 289612196 - 15087*q**2 in the form i*q**2 + d*q + v and give i.\nAnswer: -15087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - -34054?\nAnswer: 34051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 147 less than -8.62?\nAnswer: -155.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4\/151 and -35\/1208?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.059 - -1.109. Let s be (6\/4)\/(54\/(-8)). What is the nearest to h in s, -4, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -11*a + 418. Let o be r(37). Let b be (4\/6)\/(o - (-160)\/(-24)). Put 1\/38, b, 2 in ascending order.\nAnswer: 1\/38, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 36 - 14 = 0. Suppose -6*t + c*t = 24. Find the third derivative of -10*b**2 - t*b**2 - b**3 + 22*b**3 wrt b.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -138383\/10 + 13850. Find the common denominator of -61\/64 and q.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 16 - 6 = 0. Solve -o*a = 12 - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-2*sqrt(1400))\/(sqrt(7) + 1*sqrt(700)))**2.\nAnswer: -80*sqrt(2)\/11 + 1284\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.0172 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes after 4:46 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t - 1. Suppose a + 2*a = 138. Let u = 50 - a. Determine b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 28 + -6. Suppose 2*u + 2*u = -132. Calculate the remainder when 14 is divided by (-8)\/3*u\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 34\/(-51)*(-4 - 17\/1) - 5. Let b be 8\/6*66\/(-4). Let q = -13 - b. Are q and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13.09 + -13. Let h = r + 46.91. Let w = 46.77 - h. What is w rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 793754 + 2084148 = 46*w + 13*w. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.107 + -0.013. What is the third smallest value in -1\/6, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -129*p**3 + 118*p**3 - 44 + p + 41 to h*p + d + t*p**2 + c*p**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m + 3*m - 2*m - 4*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t = 3*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 - 111100011011011?\nAnswer: -111100011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:20 PM and 12:10 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k + 3968 = 4*v + 15*k, -4*v + 5*k + 3968 = 0. Calculate the common denominator of -113\/168 and (-2)\/(-6) + v\/1953.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6a2 - 131a?\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.4 - -1.8. Suppose 5*v - v - 3*i = -22, -12 = 2*v - 2*i. Which is the third biggest value? (a) v (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -5*g + 710. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*u - 2*u + 4*u)*(17*u + 30*u - 17*u) + (-2*u - 3*u + 7*u)*(0*u - 6 + u + 3) in the form x*u + m + p*u**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 28259 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l + 22 = -x, 4*l + 483868*x = 483863*x - 205 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -12488, -11036, -8618, -5234, -884?\n\"Answer: 483*k**2 + 3*k - 12974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 427 - 66. Suppose -3*m + m + 3*q - s = 0, 3*q - 182 = m. Let n = 62 - m. List the prime factors of n.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 4*q - 2 + 0*q**2 + 3*q**2 - 3*q**3 + q in the form y*q**2 + o*q**3 + h*q + b and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2 and 1220?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 86520 and 20820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -12*s - 984. Let g(b) = -27*b**2 - b + 2. Calculate y(g(i)).\nAnswer: 324*i**2 + 12*i - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3 + 3)*(-50 - 65 + 36)*(-4*a + 2 - 2).\nAnswer: -632*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5546, 5520, 5482, 5432, 5370, 5296?\nAnswer: 5210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1204, -2401, -3598, -4795, -5992?\nAnswer: -7189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -4*q**4 + 27928*q**3 + 195632*q**2 + 419304*q + 251604 = 0.\nAnswer: -3, -1, 6989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -340 (base 12) to base 7.\nAnswer: -1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -382, 0.14, 1.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 42 + -41.6. What is the third smallest value in y, 0.062, -4\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 + 28. Let p(a) = -a**z - 4*a + a**2 + a**2 + 6. Calculate p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28 + 72 + t - 25 + 0*t - 24.\nAnswer: t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3632 + -3612. Let j(d) = d**2 - 21*d + 8. Calculate j(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -364 = 65*h - 69*h. Let s = h + -54. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.07 in 2\/21, -1\/4, 3, -22?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-6)\/5)\/(15\/(-1100)). Let t be 3 + z - 3*1. Suppose 2*y - 4*c = 56, -4*y = -c - c - t. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6\/7? (a) 5 (b) -461\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5074*k**2 - 641*k**3 + 4067*k + 4064*k - 12193*k + 4062*k wrt k.\nAnswer: -3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(99) - (5 + sqrt(99) + 0) - (sqrt(99) + -2*sqrt(99) + 2)) + 5)**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 3*h**2 + 351*h + 5058. Give d(-85).\nAnswer: -3102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -79623134869 - 2994?\nAnswer: -79623137863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**2 - 8*i - 7. Let z be n(-6). What is the third derivative of 2*m**5 + m**5 + 3*m**2 - 5*m**2 - 2*m**z wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9280800 and 70800?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*g - 38656 + 13213. Let k = g + -127243\/45. What is the common denominator of 19\/40 and k?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**4\/5 + 136*d**3\/5 + 852*d**2\/5 - 5168*d\/5 + 5776\/5.\nAnswer: 4*(d - 2)**2*(d + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17)\/(-30) + (13 + 273\/(-26))\/25.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, -13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(282*(45\/(-945))\/(1\/(-7))).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -2*x**2 + 12*x + 8. Suppose q = 2*q - 10. Let v be c(q). Let b = -25 - v. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3436 = 5*i + 6*g - 3*g, 2*i + 1376 = -2*g. Let a = i + 696. Solve -a = -2*t, -w - 6*t = -2*t - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0, -71.2, -4\/3, -5, -3\/4 in increasing order.\nAnswer: -71.2, -5, -2, -4\/3, -3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 841559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20638 = -3*p + k, -17*p = -14*p + 4*k - 20618. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34064382467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -40*s + 44*s - 8. Let v be s + 13\/(-5)*1. Which is smaller: v or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-173615)\/5342*8\/30?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**2 + 9*l - 3. Let i(o) = 10*o**2 - o. Let w be i(-1). Let q = -875 + 5225\/6. Find the common denominator of q and r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10 in -1, 0.128, -5\/2, 534?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the second derivative of -k**6\/60 + k**5\/10 - k**4\/8 - k**3\/3 + k**2 + 8*k. Factor t(f).\nAnswer: -(f - 2)**2*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 16\/3 (b) -286 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 10\/4*6\/40. Let p(o) = o**3 - 22*o**2 + 65*o + 127. Let c be p(18). Which is greater: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1\/4 (c) -111\/14 (d) 15\/73 (e) -0.3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**3 + 12*k**2 - 10*k - 9. Let r be w(11). What are the prime factors of 28\/3*3\/r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 29.048555 - 0.048235. Let m = 29.057 - 0.057. Let k = m - u. What is k rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -2*o**2 - 3*o + 2. Calculate x(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -5*h - 4*q, 6 = -4*h + 15*q - 17*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 2*p = -2. Suppose 9 = -5*n - p. What is the smallest value in -5, n, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 PM and 8:57 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 12703203 to the power of 1\/2, to the nearest integer?\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 201 and 338436363?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1816776.\nAnswer: 2, 3, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/(v**(-2\/3)*v)))**(18\/11) assuming v is positive.\nAnswer: v**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g + 17. Let o be z(17). Let m = 5.8 - 5.9. Let t = 4.1 + m. Which is the second smallest value? (a) -0.4 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*t**2 - 38*t + 45 - 87 + 40 + 79*t - 41*t.\nAnswer: -6*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + b**2 + 0*b**2 - 3 + (0*b + 2*b**2 + 0*b)*(3 - 3 + 2) in the form x*b**2 + g + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 5:03 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-4)\/(-4) - -5)*-11. Let x = -47 - h. Let f = x - -64. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 1 = -p, 0 = 2*p - 4*x - 8. Sort 1, -5, -2, p in decreasing order.\nAnswer: p, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 2*j**4\/5 + 70689*j**3\/5 - 1662276*j**2\/5 + 707429*j\/5 + 2440392\/5 = 0.\nAnswer: -35368, -1, 3\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + v**2 - v + 204. Is t(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3091669*77.\nAnswer: -238058513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 4265 divided by -1567\nAnswer: -4265\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 13*f + 455. Let j(a) = -28*a - 910. Determine 6*j(b) + 13*t(b).\nAnswer: b + 455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.091 - 3.091. What is the second smallest value in m, -2\/19, 1\/2, 2\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 8.13 times -77938\nAnswer: -633635.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -157 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5901591?\nAnswer: 3, 71, 103, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2. Let u(s) = -s**2 - 98*s + 1. Let m be u(-5). Let t(j) = -12149*j + m*j**2 + 12149*j. Determine k(t(g)).\nAnswer: -217156*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 594, 1078, 1536, 1962, 2350, 2694, 2988, 3226?\n\"Answer: -x**3 - 7*x**2 + 512*x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Do -255 and -259 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*o - 11 - 184 = 37*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 9. Suppose 17*k - y*k - 78 = 0. What is the greatest common divisor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ossmmdodsttst. What is prob of picking 2 o?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 0. Let s = -94.587 + 0.487. Let i = s + 94. Which is the nearest to i? (a) z (b) 1\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4828049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-944 + 954)\/(0 - -35). Factor 648\/7 - 72\/7*q + y*q**2.\nAnswer: 2*(q - 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 400 + -402. What is the third biggest value in -68, -1, g?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -89204*w**3 - 36*w**2*x - 98*w + 68151*x + 1 wrt w?\nAnswer: -535224*w - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 15 + 1. Let q = -5 - -8. Let l(z) = z - z**q + 0 + 0*z**3 - 2*z + 1. Let u(p) = 5*p**3 + 5*p - 4. Give h*l(j) + u(j).\nAnswer: j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -16*u - 162. Calculate w(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*q**3 + 87*q**3 + 21*q**3 + 105*q**3.\nAnswer: 256*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 18 = 4*g, -m - 1 = -2*g + 5*g. Let x = 11 - 9. Suppose -5*u = -2*c - x*u - 11, -5*c + 5 = -u. Put -5, c, m in decreasing order.\nAnswer: m, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002563205 to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose v**4\/3 - 3148*v**3\/3 + 242527*v**2\/3 - 77696*v - 159588 = 0. What is v?\nAnswer: -1, 2, 78, 3069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000022822046 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 15 = -3*x. Factor -3*v**2 - x*v**4 - 18*v**3 - 3*v**5 + 9 + v**2 + v**2 + 21*v + 7*v**2.\nAnswer: -3*(v - 1)*(v + 1)**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 205\/4 - 51. Suppose 4*m - m - i + 3 = 0, -6 = 3*m - 2*i. Suppose -98*v + 99*v - 4 = m. What is the biggest value in v, -7, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.5 (c) 113 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 - -15. Let l = -4 - k. Suppose -5*i = 3*w - 12, 21 = 5*w - l*i + 1. Solve -10 = 2*d - 2*c - 0*c, -2*d + w*c = 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74 is divided by 59?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - v + 2 = 0, 2*c - 2 = -v - v. Let x be (c + 4\/(-8))\/(3\/1116). Suppose -150 = -4*h + x. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*y = -21*y - 12. Sort -4, y, -3, 1.\nAnswer: -4, -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 - 19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - u - 1. Let f(d) be the third derivative of -d**6\/40 - d**5\/15 - d**4\/12 + 2*d**3\/3 - 668*d**2 + 2. Calculate f(q) + 4*r(q).\nAnswer: -3*q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 2*b - 12. Let f(a) be the first derivative of -5*a**2\/2 - 2*a - 2. Let o be f(-2). Does 4 divide v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -57\/1529864 and 89\/327828.\nAnswer: 4589592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6024, 12077, 18130, 24183, 30236, 36289?\nAnswer: 42342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6? (a) 3\/2 (b) 1 (c) -8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2307135545 and 4730.\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83402 - 82986 - 3*i**2 + 166388.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 88 - 143. Which is the fourth smallest value? (a) -4\/7 (b) y (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 130 - ((-94 - -152) + -2 + -31).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-23 - -29)*2\/3 + -1. Solve 11 = 2*d - 3*j, 2*j + 13 = u*d + j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-13 - -12) + (0 - -1 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -454, -889, -1310, -1711, -2086, -2429?\nAnswer: -2734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -76, 85, 10, 27 in ascending order.\nAnswer: -76, 10, 27, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the third derivative of u**7\/490 - u**6\/70 + 3*u**5\/70 - u**4\/14 + u**3\/14 + 36*u**2. Determine x, given that k(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 843.7488 decades to millennia.\nAnswer: 8.437488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -241 - -238. Let v(i) = 30*i - 2. What is the remainder when v(2) is divided by r - (-62)\/20 - (-309)\/10?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1419 divide 1185377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1691 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0412 minus 1.64?\nAnswer: -1.6812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002173613 rounded to 5 dps?\nAnswer: 0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 628\/17 or 36?\nAnswer: 628\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 1901*u. Let i(g) = -1491*g**2. What is i(b(y))?\nAnswer: -5388177291*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -19, -1\/74, 1\/5, 1, 23, 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 461.31 - 144.35. Let x = q + -317. What is the smallest value in 2\/15, -4\/3, x?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -16*d - 67. Let t be q(-5). Suppose t*f + 220 = -7*f. Which is the nearest to 1? (a) f (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m + 12. Let l be u(6). Let j(k) = -k**3 + 4*k**2 - 2*k - 2. Let r be j(2). Suppose -r*b + l = -12. Solve -2*z - 1 = b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.9 - 82.1. Let d = 85 + p. Suppose -t = -4*j + 7 + 2, j + 9 = -2*t. Which is the nearest to d? (a) -0.1 (b) t (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0063586299 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -165 - -175. Calculate the smallest common multiple of l and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -35\/4 + 29\/4. Let r = -111 - -110.8. Which is the closest to f? (a) -0.3 (b) r (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, b: 1, w: 1}. Give prob of sequence wb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/60)\/(676\/845)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12633, -52886, -119975, -213900, -334661, -482258, -656691?\nAnswer: -857960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are 18 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 154639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(-1\/2)\/(k\/k**(2\/13)))\/((k**(-3\/2)*k)\/k**(-1\/3)))**(2\/13))**(-21) assuming k is positive.\nAnswer: k**(644\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -0*r - 5*r. Let b = -84 - -84. Which is bigger: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41 + 21 - 4 - 27*b + 44*b + 70*b.\nAnswer: 87*b + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 7*v**2 - 2*v + 24. Let b be ((-375)\/100)\/((-20)\/(-32)). Let l(q) = -8*q**2 + 2*q - 25. Determine b*l(p) - 7*u(p).\nAnswer: -p**2 + 2*p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 837 + 168. Which is smaller: s or 1006?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64.80885l in millilitres?\nAnswer: 64808.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 79948694 to the power of 1\/2, to the nearest integer?\nAnswer: 8941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes before 11:22 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 818367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 200*i**2 + 32*i - 68*i - 199*i**2 + 49*i + 26. What is v(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -45 - -23. Let f = -1718.2 - -1914. Let h = f - 196. What is the smallest value in 0, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*o + 10 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 57 divided by 24\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 65.3, -25, 2\/13, 1, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6651 - -18622. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-512 - 322 - 193 - 908)*(-y**4 - 3 + 3) in the form w*y**3 + l*y**4 + h*y**2 + b*y + i and give l.\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 7 = 1. Let l(z) = -z - h*z**2 + 4*z - 3*z. Let y(j) = -35*j**2. What is y(l(m))?\nAnswer: -140*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (-8)\/4 - (7 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1183318987?\nAnswer: 29, 1877, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 250*j**3 - j + 312*j**3 + 3*j**2 + 2*j - 100*j**3 + 49*j**3.\nAnswer: 511*j**3 + 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7058923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 455 = -3*x, 0 = 3*b + 4*x + x - 363. Let y = 18 + b. Suppose 0 = 4*p - y - 18. Calculate the greatest common divisor of p and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 42\/(-105)*240\/2. Let t be 18\/16 + 6\/d. Let g = 0 + 10. Solve g = y + o + t, 33 = 5*y + 2*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {a: 2, s: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 - 8*q**2 + 8*q + 61. Give z(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + -4)*133\/57?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 - (-15 - 38) - (39 + -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -2*t**2 + t**3 + 2*t**2 - t**2 + t. Let m = -5 - -14. Let o(n) = n**3 - 10*n**2 + 9*n. Let w be o(m). Give c(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -107.06 + 107. Let a = -16.21 - -16.1. Are a and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nflnfnnhffuff. Give prob of picking 1 h and 1 n.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 86 (base 14) to base 11.\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -3. Let b(f) = f - 4. Suppose x - 3 + 0 = 0. Let a(h) = x*b(h) - 4*r(h). Let k be a(6). What is the highest common factor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(2\/(-4)*1)\/((-3078)\/324).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of 53*m**5\/4 + m**4\/6 - 739*m**2\/2 - 874*m. Differentiate l(w) with respect to w.\nAnswer: 795*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, p: 2, s: 3, m: 8, j: 2}. What is prob of picking 2 j and 1 d?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (16*h - 24*h + 66*h)*(1 - h + 0*h + 1) in the form l + r*h**2 + v*h and give v.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - 4*g**2 - 2. Let p = 12 - 10. Suppose -5*a = -v - 14, 3*v = p*v + 4*a - 10. Suppose v*h = 3*h - 12. Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (1 + -1 + (-10 - (-12 - -9))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -14*w. Let t(p) = -763 - 7*p**2 + 763. What is t(x(a))?\nAnswer: -1372*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 4.355148 to 1 dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1874 - -2213. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -4*m**3 + 369388*m**2 - 1477504*m + 1477488 = 0.\nAnswer: 2, 92343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 518420 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tcxwvi. Give prob of picking 1 t and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: -21\/13799 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 8*g. Let f(c) = -6888*c**2 - 2*c + 13806*c**2 - 6922*c**2. Calculate k(f(r)).\nAnswer: -32*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 0*w + w - 3*w + (1 - 1 - 2*w)*(-3 - 30 + 6) as u + m*w and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1245 - -1238. Which is the closest to x? (a) -1\/6 (b) 3\/4 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ymvy when four letters picked without replacement from uyynnvmiymii?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 - 5*z**2 - 5*z + 6. Let v be n(-3). Let q = 521\/684 - 2\/171. Which is the closest to 0? (a) q (b) -8 (c) v (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 799899 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.8 - 2. Let r = 126 - 880\/7. What is the nearest to 0 in l, r, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -w**4\/8 - 3*w**3\/4 + 127*w**2\/8 + 249*w\/2 + 108 = 0. Calculate w.\nAnswer: -9, -8, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 4, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 956239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of (-125)\/(-15)*156\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 9, 12 in ascending order.\nAnswer: -2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 144 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12 + 14*g**3 - 23*g**3 - 11 + 11*g**3 - 3*g**2 - 2*g + 18*g to n + k*g + z*g**2 + r*g**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 723 and 19280?\nAnswer: 57840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 7 = 4*z. Let r be (-2)\/(-4) + 2\/(-4). Let g = 1 + -1. Solve g = -p - r*p + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 12273 + 5?\nAnswer: 12278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes after 3:18 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - 21 - -20 - (1 + 0 + -9) - 91.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1178.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 145396, 581857, 1309316, 2327773, 3637228, 5237681, 7129132?\nAnswer: 9311581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 90 + 8. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -13*f - 357. Let h be r(-25). Let d(l) = l**2 + 2*l - 318. Is d(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*p**2 - 31*p**2 + 3*p**2.\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.497 + 0.097. Let y = 0.5 + -1.9. Let j = -1 - y. Which is the smallest value? (a) i (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1309852 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 599633123 and -48684?\nAnswer: 599681807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the third derivative of -i**6\/120 + i**5\/60 - i**3\/6 + 11*i**2. Give n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -6*b**2. Let t(u) = -30 + 38 - 125 + 46 + 6*u**2. Determine t(a(q)).\nAnswer: 216*q**4 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 65 + -89 + -18 + 9 + -5 + -5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -265, -2, 4, -6, 1 in descending order.\nAnswer: 4, 1, -2, -6, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 AM and 9:08 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.2 (b) -0.3 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -74323329*g**3 + 2*g**2 - 3344*g + 99.\nAnswer: -445939974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2245 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -69*a**2 - 32*a - 5. Let t(f) = -208*f**2 - 94*f - 14. Let w(c) = 8*s(c) - 3*t(c). What is the second derivative of w(z) wrt z?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qz when two letters picked without replacement from qzxdzaqxxqrx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 5*(4 + 2*sqrt(539) - -3*(1 + sqrt(539)))**2)*-6 + 4.\nAnswer: -405686 - 14700*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.05? (a) -20 (b) -4 (c) 0 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -81.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -44 - -28. Let f = x - -27. Let w(m) = m**2 - 3*m - 11. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(-3)*p)**(-28) assuming p is positive.\nAnswer: p**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -125 - -130. Let f be 10\/2*((-12)\/m + 2). Is f != -24\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g - 105 = -3*g. Suppose -3*m - 2*m + g = 0. Suppose 55*t = 108 + 167. What is the remainder when m is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, 0.1, 0.8, 497, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 + (-3 - -4))*19. Let t = -36 - b. What is the second smallest value in 4\/5, 4, -4, t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 58 + -238. Let f be 1\/(-4) - r\/16. Let s be (-2)\/11 + 2\/f. Solve s*u - 20 = -5*g - 2*u, 16 = 4*g + 3*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 30*w. Let f(k) = 9*k**2 - 3*k - 105. Calculate i(f(d)).\nAnswer: 270*d**2 - 90*d - 3150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -767, -1475, -2123, -2711, -3239?\n\"Answer: 30*f**2 - 798*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -0*x - x. Suppose 0 = 3*o - 4*c - 61, -o + 56 = 3*o + c. Suppose -o = -7*p + 2*p. Solve p = -f + x*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -18 + 6. Let y = 98 + c. Suppose 5*h - y = -0*h. What is the highest common divisor of 95 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 0 + -2 + (3*(-1 + sqrt(147) + -2))**2 + (1*(sqrt(147) - (-2 + sqrt(147)))*-1)**2.\nAnswer: -378*sqrt(3) + 1407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 + 16*v**2 - v + 9. Let d = -527 + 487. Let s be d\/((-50)\/(-10)) + 24. Give p(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9996.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be 595\/21 - 6\/(-9). Suppose 6*l - v = 25. What is the greatest common factor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -0.15 and 146 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**2 + 7*b + 2. Let v be a(0). Factor 9*p**2 + 3*p - 4*p**2 + 320 - 83*p + 0*p**v.\nAnswer: 5*(p - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 3097*o + 68134. Let j be f(-22). Find h such that 4\/17*h**2 + 0*h**4 + 6\/17*h**3 + 0 - 2\/17*h**5 + j*h = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -444939, -442549, -440159, -437769?\n\"Answer: 2390*m - 447329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-1)\/v*v**1*(v**0*v)**(-1\/25) assuming v is positive.\nAnswer: v**(-26\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n. Let z(a) = 14*a**2 + 5*a. Let g(k) = 153*k**2 + 54*k. Let p be 6\/4*(-140)\/42. Let b(o) = p*g(o) + 54*z(o). Calculate b(f(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -171, -304, -455, -630, -835, -1076, -1359?\nAnswer: -1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 247 = 23*m + 2886 + 1179. Let q be (2 - 1*169) + 1. Is m >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 96612 by -4.\nAnswer: -24153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*(5 + -1 + -3)*0. Let r(y) be the third derivative of -1\/60*y**5 + 1\/12*y**4 + 0 - 4*y**2 - 1\/6*y**3 + b*y. Calculate r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 82470485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 4, f: 7}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4446 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -2 - (-26 + 21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 9:46 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -56*x - 220 + 164. Let m = 391 + -6251\/16. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 81\/15 + (-2)\/5. Let i = -6 + l. List the prime factors of (-8 - (i - 0))*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -103 = -63*r + 73 + 391. Let a(u) = -2*u**2 + 15*u - 2. Determine a(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(441)\/sqrt(3))**2 + sqrt(3) + (1*-4*sqrt(3))**2.\nAnswer: sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 73391 (base 15) in base 4?\nAnswer: 1121023333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9988\/(-6)*(-5 + 273\/42). Round g to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 = 4*i - 5*b, i - 2*b + b + 7 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -17 (b) 30 (c) 0.1 (d) -3\/5 (e) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/47900552 and -11\/848.\nAnswer: 95801104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put together 106 and 298.\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 572.5 to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.4 - -0.2. Let n = -286.4 - -286.5. What is the nearest to n in t, 1, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -209*d - 23*d + 3480 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 189\/2 + -94. Let f(k) be the second derivative of 0 + 1\/12*k**4 + 2*k**2 - q*k**3 - 2*k. Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 2)*(2*m**3 + 2*m**4 - 2*m**3)*(-11 + 16*m + 11).\nAnswer: -128*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v + 4*z + 86, -4*z - 17 + 3 = -v. Solve 5*n = -v - 2, 2*h = -2*n - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1861 + 4?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -159*j**3 - 161*j**3 + 485*j**3 - 162*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21678, 43393, 65122, 86871, 108646?\nAnswer: 130453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -332*j + 362*j**3 - 173*j**4 + 334*j + j**2 - 2 - 363*j**3 to the form x + s*j + p*j**3 + m*j**4 + c*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -44 + 7 + -3 - (12 - -27 - 42)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -154 = -5*n - 3*f, -n + 5*f = -5*n + 131. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 750*q + 16169. What is z(-25)?\nAnswer: -2581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -9924, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 477.9073 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 7*m + 10. Let t(j) = 2*j + 2*j + 11 + 4*j. Let v(f) = -5*s(f) + 4*t(f). Let u be v(-6). Solve 0*r - u = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 3*n**3 - 2*n + 1. Let h be d(1). Factor 194 + 2*u**h + 2*u - 10*u - u**2 - 203.\nAnswer: (u - 9)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 73 + -73. Suppose 5*k - 4*k = 0. Solve k = 4*b + 4*c, f = 4*b - 3*c - 5 - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -221, -446, -671?\n\"Answer: -225*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 64*a - 22. Is 13 a factor of g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 - 10*r + 4. Let x be i(10). Solve 0 = -j + x - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-28 - (-5 + 28)) + 10 + -5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -183*l - 20*l + 26*l + (3 + 7*l - 3)*(-3 + 6 - 2).\nAnswer: -170*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 10030087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 934991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -8, 21, 0 in decreasing order.\nAnswer: 21, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:37 PM and 6:08 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 264\/(-1)*5\/5*(-87)\/261?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/((h\/(h**(-1)\/h)*h)\/h))**(5\/8)\/(h**(-6)\/(h*h*h**(-3)*h)))**(1\/9))**(-3\/41) assuming h is positive.\nAnswer: h**(-19\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from phbhlpfddhfppdd. What is prob of sequence pd?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 - 5*q**2 + 4*q - 9. Is r(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 2*j = -1202, -3*q - 6*j = -j - 1811. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*v = 29*v + 49*v - 32*v + 1100 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 46416 and 17406?\nAnswer: 139248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**2 + 1 - 1)*(-11*h**3 + 170 - h - 170).\nAnswer: 11*h**5 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -29*j**3 + 4*j**2 - 2*j - 3. Let r(q) = 28*q**3 - 6*q**2 + 3*q + 4. Let x(g) = -4*c(g) - 3*r(g). Calculate x(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 456 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*b**2 + 9*b**2 - 2 - 12*b**2.\nAnswer: 17*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -310.7 + 955.7. What is the third biggest value in -4, b, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14877 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 315723*k + 122. Let p be m(-14). Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -d + 8, 0 = 4*d - 3*q + 4 - 25. Let t = d + -1. Solve 5 + t = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -4*w**2 + 91912048*w - 527989035472144 = 0.\nAnswer: 11489006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/20)\/(15\/(-50)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1332249.39s in days?\nAnswer: 15.419553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 + (-49)\/1)\/1. Let x = a - -73. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5*0.06\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 16 + -69 + 77?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 - 240?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a factor of 5850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 5*o. Let j(y) be the second derivative of -8*y + 1 + 0*y**2 - 1\/2*y**4 - 1\/6*y**3. What is a(j(r))?\nAnswer: -30*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*n + 3*h = 5*n - 25*n, -h - 2*h = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 2*h**3 - 66*h**2 + 5*h + 437. Calculate the remainder when t(33) is divided by 127.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*o - 4*o + 2*o - 7241374 + 7236507 in the form c + r*o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the third derivative of k**5\/30 - 5*k**4\/24 + 123*k**2. Let t(p) = 7*p**2 - 9. Let a(q) = 3*q**2 - 4. Let b(x) = -9*a(x) + 4*t(x). What is v(b(z))?\nAnswer: 2*z**4 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -118 + 125. Suppose -5*b = t*i - 2*i, -b = -3*i - 20. Solve -3*n + 21 = -2*c, 4*n + 0 = -5*c + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -52 (base 12) to base 14\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the second derivative of 813*i**5\/10 + 59*i**4\/12 - i**3\/3 + i**2\/2 + 2988*i. Find the third derivative of w(t) wrt t.\nAnswer: 9756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 198, 764, 1708, 3030, 4730?\n\"Answer: 189*k**2 - k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7.2 + 2.2. Let b = 29.8 + -33. Let o = b + 3.3. Put -0.2, 2, d, o in decreasing order.\nAnswer: 2, o, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/5)*w*w)**(-2\/7)*(w**0\/w)**(2\/93)*(w**(-2\/3))**39*w*w**(-5)*w*w\/(w\/(w**(-6)*w*w*w)) assuming w is positive.\nAnswer: w**(-106462\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14422*p - 50454 = -14440*p. Calculate the remainder when p is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**4 - 2*n - 7. Let u be (-4)\/(-18) - 20\/9. Let v(h) = h**4 + 3*h + 8. Let d(g) = u*v(g) - 3*k(g). Differentiate d(y) with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -1416*n - 2. Let u(b) = 41161*b**2 - 82321*b**2 + 41158*b**2. What is u(y(z))?\nAnswer: -4010112*z**2 - 11328*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - l + 2 = 0, -2*y + 192*l + 8 = 5*y + 196*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1.35569 rounded to 2 decimal places?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 12*g - 12. Is ((-260414)\/(-8))\/11 - 1\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13143 (base 5) to base 7.\nAnswer: -3025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -84657 divided by -28219\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 - -5. Factor 6*d + v*d**2 + 7 - 4 + d + 4*d**2.\nAnswer: (d + 1)*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9980*o + 187807 - 149296 - 188003 = 628948 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-177*j - 98*j + 66 - 66)*(-j + 2*j**2 + j).\nAnswer: -550*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.7 - 5. Let k = 299\/66 - 48\/11. What is the third smallest value in m, 4\/7, 1\/3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 a, and 1 h when three letters picked without replacement from aahaasaxshahahshh?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 1 - 8 = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92 < 5063\/354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and -198825543.\nAnswer: 79530217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -133\/550 + 3\/50. Let f = 163 + -163. Suppose v = f, 0 = 13*w - 18*w - 5*v + 15. Which is the second biggest value? (a) g (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 127*i**2*s - 31*i**2*t*z - 4*i*s**2*t + 90*s**2*t*z - 9054*z wrt i?\nAnswer: 254*i*s - 62*i*t*z - 4*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -a + 5*a. What is the units digit of (2*(8 - a))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -11973*25\nAnswer: -299325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 60552 and 870.\nAnswer: 302760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 0.7. Is c smaller than -1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 10:25 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1923*h - 1430 + 18433 = 148*h + 435 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*x - 4*l + 3 = -72*x, 2*l + 11 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 240947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 - (8 + (-1284)\/6). Differentiate h*r**3 - 3*r**3 - 36 - 117 wrt r.\nAnswer: 618*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12020810593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -195 - -195. Suppose -288 = -n*o - 4*o - 4*c, -16 = 4*c. Is 38 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2615 - 20687 = -268*o + 10938 + 3012 for o.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7321457 or -7321459?\nAnswer: -7321457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3843, -3842, -3841, -3840, -3839?\nAnswer: -3838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1))**(2\/57)*((h\/h**(-1\/3))\/h)\/(h*(h*h**4)\/h) assuming h is positive.\nAnswer: h**(-268\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 68214 or 68215?\nAnswer: 68215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttdd when four letters picked without replacement from {t: 8, d: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 9211 - 3731 + 45*x**2 - 16*x**2 + 2*x**3 - 2*x - 16*x**2 - 12*x**2 as p*x + c + q*x**3 + j*x**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 807 + -807.00000383. What is b rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 AM and 4:57 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 41634 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3869*r*s**4 - 7163*r wrt s.\nAnswer: 15476*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cac when three letters picked without replacement from {a: 15, c: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 293 divided by 285?\nAnswer: 293\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-3420)\/(-180)*(-3)\/(9\/3)*1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 4*n**3 + 675*n**2 + 206*n + 63392. What is g(-169)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -22*k. Let i be m(-1). Let p = 98 - 73. Let a = p - i. Solve 8 = a*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - 21500052?\nAnswer: -21500045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 + 5*g**2 + g + 11. Let y be c(-5). List the prime factors of 250*(-55)\/(-8) - y\/(-1024).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 86.4919 and -0.082.\nAnswer: -7.0923358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 5*s - 5*x - 8, -3*x + 3 = 0. Suppose -4*j + 2*q = -4, -3*j + 4 = 2*j - s*q. Solve j*a - 3 = -4*a - g, 0 = -a + 4*g + 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 213*y - 1634 + 1634 + 124*y.\nAnswer: 337*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2216 or 28790\/13?\nAnswer: 28790\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vcp when three letters picked without replacement from ccsssccppsssspccvs.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -230916 divided by 19243.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 2*p + 4*p - 3*p. Let k(h) be the first derivative of -h**2\/2 + 1. Let s(u) = -2*u**2 - 3*u. Let f(m) = 3*k(m) - s(m). Calculate f(b(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23227 = -12*s - 1855. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.49239cm to meters.\nAnswer: 0.0049239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 644619*r**5 + 28*r**4 - 68*r**2 - 6*r - 1511?\nAnswer: 38677140*r**2 + 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 216 + -144. Suppose 196 - o = 4*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 339 and 40731.\nAnswer: 4602603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llclllclclcc. What is prob of sequence cllc?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -3 (c) -0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 119, 117, 107, 83, 39?\n\"Answer: -v**3 + 2*v**2 - v + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -2*(-1 + sqrt(7) + 4 + sqrt(70)\/(sqrt(50)\/sqrt(5)))**2.\nAnswer: -78 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 309*m = 475*m - 1636 - 854. Let a(v) = -9*v - 5. Let r(h) = -19*h - 9. Let q(d) = -5*a(d) + 2*r(d). Let x(l) = 27*l + 27. What is m*q(u) - 4*x(u)?\nAnswer: -3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -65 - -79. What is the closest to f in -0.5, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**2 - 25200*j + 39690000.\nAnswer: 4*(j - 3150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3884988540*u - 3 + 3 - 3884988534*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 40388, 80799, 121210, 161621, 202032, 242443?\n\"Answer: 40411*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 9388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.22 in 0, 25, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1231 (base 5) in base 10?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 2*d - 300 = 0. Let g be ((-20)\/(-50))\/(2\/d). Solve -5*h + g = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/19)\/h*h\/h**(1\/3)*h)**(11\/4)*(h**(2\/9))**(-11)\/(h**0\/h)**(-2\/61) assuming h is positive.\nAnswer: h**(-3697\/10431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-60235)\/1721)\/(3*(-35)\/45)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1607 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -5*a**3 + 2*a**2 + a. Let h(s) = -3*s**4 - 6*s**3 + 24*s**2 - 90*s. Let f(p) = -h(p) + 6*l(p). Factor f(m).\nAnswer: 3*m*(m - 8)*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(4617))\/(sqrt(15)\/(sqrt(5) + sqrt(20)\/sqrt(4))))**2 + 5.\nAnswer: 24629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 3, l: 1, o: 3, p: 5}. Give prob of sequence lplo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 14*z**3 + 31*z**2 - 38*z + 2. Determine x(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -99 + 101. Suppose u*h = 2*m - 18, 5*h = m + 7*h - 6. Suppose -m*d = 5*d - 52. Calculate the highest common divisor of d and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 263 + -397. Let q = c - -148. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28411*i = -x - 28415*i + 8, -i + 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -273398 or -273397?\nAnswer: -273397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -4*i + 29 - 64, 38 = -4*i - 2*z. Is ((-9528)\/i)\/4 - 2\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*x - 4*x - x + (15 + 0 + 19)*(3 + 2*x - 3) + 5*x + x + 0*x to y + m*x and give m.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:25 PM and 11:17 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**3 + 810*a**2 - 2385*a.\nAnswer: -5*a*(a - 159)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26729?\nAnswer: 26729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 4964 + 1418 = 0. Let z = -842 + b. Suppose -2*q = 3*q - z. Calculate the greatest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22322 (base 6) in base 11?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-63)\/(-6) + 1\/(-2). Suppose -g = -3*u - 2*u. Suppose 3 = 5*r - u*r. Which is the closest to r? (a) -1 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -5, 5\/7 in decreasing order.\nAnswer: 5\/7, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 70832.88 minutes?\nAnswer: 4249972.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2502*m - 2502*m + 6030 = -7441*m + 2571*m for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-273)\/(-360) - (-3)\/(-4). Let l(h) be the third derivative of h**2 + 0 - x*h**6 + 0*h**3 + 1\/24*h**4 + 0*h - 1\/60*h**5 + 1\/210*h**7. Factor l(v).\nAnswer: v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -32*d**2 - 3. Let q(o) = 2975*o**2 + 280. What is 3*q(j) + 280*r(j)?\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1117618985?\nAnswer: 5, 7, 31931971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 32 + -25. Calculate the least common multiple of b and 1*1\/((-2)\/(-10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 26 - 2*z**2 + 2*z - z**3 - 65 - 26 + 3*z**3 - 184*z**4 + 186*z**4 in the form m*z**2 + r + w*z**4 + p*z + n*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/j**(4\/9))\/j**(2\/3))\/((j**3\/j)\/j*j**(-13)))**(-10) assuming j is positive.\nAnswer: j**(-1070\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 713171 or 713170?\nAnswer: 713171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -29 or -384\/13?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 729, -3, -142 in increasing order.\nAnswer: -142, -3, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - -12101212220?\nAnswer: 12101212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s*s**(2\/5)*s*s)**(2\/5))**43*(s\/(s\/((s**(2\/5)\/s)\/s*s)))**(1\/2)*(s**(-1\/2))**(-2\/41) assuming s is positive.\nAnswer: s**(154579\/2050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h = -2*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w - 6*w = -5*w + 39312. Is 41 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(468) + (sqrt(468)*-3*-2 - sqrt(468)))\/sqrt(9)*2)\/(sqrt(484)*1*4*2).\nAnswer: 3*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -2. Let g = -2 - x. Suppose 0*l = -l. Sort l, 2, g.\nAnswer: l, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2020923439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -166 = -7*g + 149. What is the units digit of (g\/30)\/(3\/(-2) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.146 + 0.02\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(((q**(-5)\/q)\/q)\/q)*q))\/(q*q\/q**(-6)*q*q))**(3\/23)\/((q\/(q*q\/(q*q\/(q*q**(-1\/2)))*q))**(-5\/4))**(-39) assuming q is positive.\nAnswer: q**(4029\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**2 - 16*t + 125. Determine i(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 257646 and 552?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 245, -3\/28, 9, -1, -0.2?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.4, -110, -3, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 0*h - 4 = 0. Suppose t + i - 5 = -2*i, -5*i = h*t - 34. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 121.1424 * 5.4\nAnswer: 654.16896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aih when three letters picked without replacement from {z: 4, i: 1, a: 1, h: 2, c: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 980 and 252448?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 9 + 6*b**3 - 12*b - 10*b**2 + 6 - 5*b**3. What is the units digit of u(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 147 = 129. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -3 + (6 - 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6858 and 508?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1.66712744 rounded to 4 dps?\nAnswer: -1.6671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8\/12083645 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -3, -134 in decreasing order.\nAnswer: 0, -3, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3 + 6*t**2 + 7*t + 4. Suppose 2*j = j + 10. Suppose -4*q + g = -29, -2*q + 0*q + j = 4*g. Calculate a(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/2 - (-135)\/30. Let u(l) = -4*l + 2*l + f - 2*l + 5*l. Let c be u(-6). What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 PM and 6:05 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-336)\/(-1))\/2 - 3. Let y = t + -86. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2985 - 2983. Which is the second smallest value? (a) 12\/5 (b) 3\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 86022.284 + -86147.283939. Let z = -125 - d. What is z rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 484 a factor of 3509006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*c - 4*q - 108, 1426*c - 2*q - 50 = 1430*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 15) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.268, -2\/5, 1.6 in increasing order.\nAnswer: -2\/5, 0.268, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -3*c**3 - c**2 - 2*c + 1. Let n be g(-2). Suppose -4*m - 5*z + 8 = 0, 2*z - 3*z = -3*m + n. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (4 - (5 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 + -791631?\nAnswer: -791632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*l = -233339 + 230331 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01027249794 to six dps.\nAnswer: 0.010272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/52)\/(1116\/1612).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + h + 0*h = -4, h + 10 = 4*a. Suppose 18 = 5*w - a*j, w - 3*j = -2*w + 18. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5564358 divided by 309131.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**3\/(i\/(i*i*i**(2\/27)*i*i*i))*i*i**(2\/57)*i*i**(-26)\/i*i*i*i assuming i is positive.\nAnswer: i**(-7639\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 179 - (59 + -37 - -84)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -67301.07 + 67267.06953. Let y = 13 + -47. Let s = y - a. What is s rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((u*u**(-2\/5)*u)**(-28))**(15\/4))**0)**(-1\/5) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nydm when four letters picked without replacement from {t: 2, w: 1, n: 1, d: 2, m: 1, y: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -5*k + 40. Let i = -29 + 31. Suppose k = 4*m + i. What is the remainder when 4 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -113.5 and 3641131887.\nAnswer: 3641131773.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 33948 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -9*(-8)\/72 - -313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 1:04 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29\/(464\/(-496)) - -39.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + 5. Suppose -o*m + 6*m = -51. Let v = 48 - m. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5200271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.0321? (a) 2\/7 (b) 0.003 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - k = 96, 4*q - 5*k - 93 = -12. Let l = 2028 + -22292\/11. Calculate the common denominator of l and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1780285 is divided by 22824.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 260 + 100. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1663 - 425*i + 1663 to the form v + d*i and give d.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of -26*f**7\/105 - f**4\/12 - 601*f**3\/3 + 1158*f**2. What is the first derivative of i(o) wrt o?\nAnswer: -208*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**3 + 0 + 0)*(-28 - 16*o + 26 + 8*o).\nAnswer: -8*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2 - -500 - (-13 + 9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + x - 6. Which is the closest to -2\/7? (a) x (b) 7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -652430 divided by 130486\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 44\/10 - (-10)\/(-25). Let l(z) = -3*z + 30. Let k be l(11). Suppose 2*f - 4*c + 6 = 0, 2*f + 2 = -0*f + 3*c. Put f, o, k in decreasing order.\nAnswer: f, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18 - -34) + (0 - 28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i + 24. Let v be u(24). Let p be (-2*2)\/((-10026)\/9). Is v != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*x + x - 6*x)*(2 + 2 - 3)*(-55 - 33 + 70) - x + 3*x - x as r*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 106, 213, 334, 475, 642, 841, 1078?\n\"Answer: k**3 + k**2 + 97*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/19 in 16, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (l + 1 - 1)*(121 - 232 + 122) + l + 3*l + 0*l as q + w*l and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 65.49 and -36?\nAnswer: -2357.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 53971.708 days in weeks?\nAnswer: 7710.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 5165130, 4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/(1 - (3 + -1)). Suppose 0 = -4*c + y + 2*y + 35, 5*c - j*y = 43. Calculate the greatest common factor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 4126786?\nAnswer: -2\/2063393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -k**3*n**3 - 1002*k**3 + 688*n**3 - 1 wrt k.\nAnswer: -3*k**2*n**3 - 3006*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3422 + -2496. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8125079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 95123940 - 95123940 - 68*n.\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 6*q + 323. Calculate x(-50).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*w, -5*d + w = 2*w - 116. Suppose -26*s + d*s = 6. Let b be (s\/6)\/((-12)\/144). Solve b*z = 10 + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from ycyaxuh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes after 11:18 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 114 = -37*c + 336 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 250 divided by -142?\nAnswer: -125\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the third derivative of -829*g**5\/6 + 411*g**4\/2 - 6*g**2 - 31. Find the second derivative of n(x) wrt x.\nAnswer: -16580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-27)\/(-7) + -16 + (-1808)\/(-112)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 14 - 8. Suppose -2*v = 3*v. Suppose v = -3*y - x*z + z + 373, -4*z - 397 = -3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 2*b. Let a(w) be the third derivative of -w**8\/2016 - w**5\/20 + w**4\/3 - 43*w**2 + w. Let z(j) be the third derivative of a(j). Determine x(z(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be -6*2\/(-12)*-3. Let c be 2\/k - 19\/3. Suppose 19*w = 12*w - 35. Put 1, w, c in increasing order.\nAnswer: c, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -9160, -37814, -85952, -153568, -240656, -347210, -473224?\n\"Answer: v**3 - 9748*v**2 + 583*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1646225.710869 and 0.4?\nAnswer: 1646226.110869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3456 and 8064?\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 714.1, -2\/7, -24?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 254, 259, 266, 275, 286, 299?\n\"Answer: q**2 + 2*q + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*o = 37*o - 32. Determine s, given that -234\/7*s**o - 80\/7*s - 82\/7*s**3 + 8\/7 + 226\/7*s**2 + 162\/7*s**5 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 9 + 5*s + 6.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -26, 91 in descending order.\nAnswer: 91, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = -19*i + 24*i - 4*s, i - 11 = 4*s. Solve 0 = -5*p - 5*c - 45, -c + 7 = -i*p + c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lfgfflbfgggkbbbgbf. Give prob of picking 1 f, 2 b, and 1 k.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find p such that p**2\/2 + 187*p + 34969\/2 = 0.\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 28345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 8185 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, 89.\nAnswer: 0, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -9258, -18512, -27766?\n\"Answer: -9254*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 53260 rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7155178 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 33 + 28 - 10*l - 8*l**2 - 60 + 9*l as d*l**2 + t + v*l and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -42286 = -2155*x - 339*x + 257*x + 18113 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3171 - 3230. Which is the nearest to n? (a) 1.8 (b) 0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 42842520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 145840.7 minutes?\nAnswer: 8750442000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -d**5 + 88*d**4 - 248*d**3 - 622*d**2 + 2313*d - 1530 = 0.\nAnswer: -3, 1, 2, 3, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 - (1 + (-3 + 3 - 5)). Let y be (3\/1 - (-2 + 0)) + w. Let l(u) = u**3 - 9*u**2 + 11*u - 10. What is l(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/44 and (897\/780)\/(11\/2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 118680 and 220?\nAnswer: 1305480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/18 <= 4675064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -363.7 in 1\/2, -28, -2\/13?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 146, 215, 298, 401, 530, 691, 890?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w - 2*w - 5*w = 0. Suppose 2*s - s - 4 = w. Solve 5*h + 11 = m, -4*h - s*m - 3 = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -56557, -113113, -169669, -226225?\nAnswer: -282781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y + 1. Let s(k) be the second derivative of -k**5\/20 + k**4\/4 - k**3\/3 + k**2 + 3*k. Let h(a) = -p(a) + s(a). Find o such that h(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 205953861.\nAnswer: 3, 17, 4038311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3853541287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 1 r, and 2 t when four letters picked without replacement from ttprptt?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 242534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**2 + 6*s - 5. Let b be w(4). Let t be 184\/18 + 2\/9 + 148\/(-333). Solve b*d + t = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-4) - (-7)\/(-14). Let h(q) be the second derivative of -8*q + s*q**2 + 0 + 0*q**3 + 1\/4*q**4. Let d(f) = -3*f. What is h(d(g))?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 4*i + 129000 = 0. Suppose -s + 0*s = -i. What is s rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 410\/(-80) + 2\/16 - -25. Solve 4*s + 16*s = -t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1640133 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1866149*d**2*k*q - 4*d*k*q - d*q - 6*d - 7*k*q - 9*k + 2*q wrt d.\nAnswer: 3732298*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 34389 = -5*w + 34352, 4*s = 5*w + 73 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 48539600 rounded to the nearest one hundred thousand?\nAnswer: 48500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 120239932259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 8\/(-10)*5\/(-2). Suppose 0 = z*h - h - 50. Let g = 65 + -52. What is the remainder when h is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-90)\/8)\/(6*4\/(-256)). Calculate the remainder when 77 is divided by (-10)\/c*3 - 73\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13237297.29s to weeks.\nAnswer: 21.887065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3733269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -213 + 21132?\nAnswer: 20414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -o**2 + o**2 - 2*o**3 + (-2*o**2 + o**2 - 4*o**2)*(3*o - o - o) + 8*o**3 + 8*o**3 - 5*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 354*d - 149*d = 47 + 363. Let u be (-18)\/(-10) + 1\/5. Solve -d*y - u*y - 20 = 5*b, -3*b - 3*y = 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 71\/63 - 5\/9. Let q(p) = -3 + 2*p - p - 2*p + 0*p. Let b be q(-4). Is x > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -410784 - -3705692\/9. Let i = h + -966. What is the common denominator of 0 - (1 + 9\/(-10)) and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 + -6. Let n = 1 + o. What is the units digit of (1 - 0) + (-2)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1510 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((5\/(-5))\/1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 12070*p - 466624 - 238307 - 274320 = -86071 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/20416 and 3\/154.\nAnswer: 142912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 + 62\/(-30))*(13 - (25 + -24)). Which is the closest to -3? (a) -5 (b) 0.5 (c) q (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = 5*o - 15. Let k = 6 - 15. Let i = 13 + k. Solve -o*g - 4 = -i*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -28.8 - -28.3. Let n = -236\/875 - 2\/125. Which is the third biggest value? (a) 2 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -31 - -24. Let n(c) = -c**3 - 6*c**2 + 3*c - 4. Let z be n(h). Let b = 3 + -2. Solve 5*p - b = z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2 (b) -1.4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 - q**3 + 3*q**2 + 7*q**2 + 10*q - q**2. Does 50 divide k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 12:29 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.417 + 0.411. Let s = -0.006 - f. Sort s, -2\/11, 1\/5, -0.2 in decreasing order.\nAnswer: s, 1\/5, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15543 divide 5157599431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 12 (base 16) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 261*y + 218*y + 3744 = 401*y for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, m: 4, l: 2, f: 4, y: 6}. What is prob of picking 1 d, 1 f, and 1 y?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 462675627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 54 + (-1 + 1 + 0 - (12 - -24 - 33))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + 15*f**2 - 58*f + 149. Determine s(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 3*y + 28 = 0, y = 6*n - 5*n - 9. What is the remainder when 42 - (3 + -4 + 2) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 14 + 23 = 0. Sort 1, d, 4, -2 in decreasing order.\nAnswer: 4, d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**2 + 12*g + 9. Let f be p(-6). Let a = f - -60. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 91522*o. Let w(y) = -y**2. What is w(a(c))?\nAnswer: -8376276484*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 573 - -193. Suppose -5*n + l = -514. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 - -12. Suppose 0 = -6*w + w + k. Which is smaller: w or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 4, 17, -0.4, 0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-12)\/54*-3)\/((-6)\/(-27)). What is the least common multiple of 4 and (-30)\/40*(-4)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (30\/(-45))\/((-2)\/(-36)). Let u = -9 - z. Suppose -2*s - u*s = -115. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 543*n + 560*n + 586*n + 77*n - 14.\nAnswer: 1766*n - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*a + 3*a. Let n be 0\/(-1)*(-1 - a). Let z = -76 - -307\/4. Do n and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*k*p*w - 25*k*p + 415*k*w**5 + 11*k*w**2 - k + p*w**3 + 2*p*w - 4*w wrt w.\nAnswer: 8300*k*w**3 + 22*k + 6*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 549096 divided by 274?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and 0.034.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c**4 + 1976210*c**3 - 105*c**2 - 41500310*c + 39524200 = 0.\nAnswer: -395242, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 124 a factor of 537333841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/6 - 2\/4. Suppose f = -4*y - 0*y. Which is the closest to -0.2? (a) y (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -52*x + 160. What is j(6)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 45743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45764 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44*t**3 + 0 + 5 - 39*t - 5.\nAnswer: -44*t**3 - 39*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -57629*z**2 + 341*z - 1023. Let g(d) = 339*d**2 - 2*d + 6. Determine 341*g(l) + 2*p(l).\nAnswer: 341*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43232 is divided by 101.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 0*z**2 + 2*z**6 - 8*z**6 + 3*z**2 - z**6 wrt z?\nAnswer: -840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**3 + 810 + 10*v**3 - 1503 + 693 - 3*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*p + 46*p = -26*p - 509330. Is -4805 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 15106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8915 + -8914. Which is the closest to -2? (a) 1.4 (b) -1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 11*a. Let q(u) = 4*u. Let g be 24\/20*(-4)\/(24\/(-15)). Suppose 0 = -g*h - 2*h - 35. Calculate h*q(d) + 2*f(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 601.9667ml to litres.\nAnswer: 0.6019667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2695 is divided by 794.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.6191 - 0.6191. Let l be (0 + 1)\/(3*-1). Which is the closest to 2? (a) 32 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -3*h. Let o(j) = 1923*j - 7440. Determine o(i(z)).\nAnswer: -5769*z - 7440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 313 is divided by 250.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is (15 - 14836)\/(-2*4\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(96) + -6*2*sqrt(96))\/sqrt(12))\/((sqrt(48) - sqrt(192))\/sqrt(12) - sqrt(144)).\nAnswer: 44*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d + 11. What is f(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - -13)*(-7 + (-15)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from eyvy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is eighty-five quarters of a decade in months?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that f**2 + 36*f + 35 = 0.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8565642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 100151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (5 - 2) - (-19 - -19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/n**(2\/3)*n)\/n**(-8\/7))\/((n*n**(1\/4))\/n*n**(-5\/6)) assuming n is positive.\nAnswer: n**(257\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000021547346 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2525601 + 64?\nAnswer: -2525504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -448499, -448433, -448367?\n\"Answer: 66*z - 448565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 2:20 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -2*u**3 + 71*u**2 - 176*u - 3. Give h(33).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*u**2 + 4300*u - 872480.\nAnswer: -5*(u - 532)*(u - 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*o + 38*o - 16170. What is the remainder when o is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 3541*r + 56666. What is f(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/5? (a) -5 (b) -2\/5 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 92 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(-22)*p*p*p)\/p)\/(p**(-3\/23)*p))**(-7\/4) assuming p is positive.\nAnswer: p**(3199\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4488367 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 301707 + -1.302968\nAnswer: 301705.697032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/u**(-11)*u*u**7)**(-23)*(u\/((u**(1\/5)\/u)\/u))**23*(u\/(u*u**(2\/11)*u))\/(u**(2\/3)*u) assuming u is positive.\nAnswer: u**(-65744\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -16376905.7 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1572, 1621, 1670, 1719, 1768?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/5192 and 3\/8968.\nAnswer: 98648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 469258?\nAnswer: 2, 234629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 10, 0.3, -4\/3, 3, -3\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 23\/3, -107464, -7, -1.\nAnswer: -107464, -7, -1, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(-14) + 74\/(-14). Let v = w + 9. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 31171017 or -0.1?\nAnswer: 31171017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -1694*u - 149229. Calculate g(-88).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 27*l + 41. Is b(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - 125?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 69\/4 and 1\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*((-2)\/4)\/((-527)\/11594).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.2374189 * -0.2\nAnswer: 0.04748378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -757857*s*t**3 + 2*s*t**2 + 2*s*t + 2*s - 25*t**2 - 220*t wrt t.\nAnswer: -4547142*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8 - 8 + 5*u + (3*u + 0*u - u)*(-1 + 3 - 5) + (1 - 2 + 0)*(-19*u - 4*u + 4*u) to the form r*u + i and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 792361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 52*z**3 - 29232*z**2 + 33668*z - 4488.\nAnswer: 4*(z - 561)*(z - 1)*(13*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -3.5, -1\/1026 in increasing order.\nAnswer: -3.5, -1\/1026, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -82, -581, -1934, -4567, -8906?\nAnswer: -15377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19590908083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of -3*c + 0*c**5 + c**2 + 0 + 4\/5*c**6 + 0*c**4 + 0*c**3. What is the first derivative of g(o) wrt o?\nAnswer: 96*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -575*d - 102 - 72 + 105*d - 108 wrt d?\nAnswer: -470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9490037 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -47 divided by -1177\nAnswer: 47\/1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*p - 13*p**3 - 3*p + 14*p**3 + p to the form h*p**3 + q*p**2 + t*p + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = 3*c - 2, -d + 9 = 10*c - 5*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 251.373 + -0.373. Let x = -251.01264 + o. What is x rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lzkkkhzlhzzkz. What is prob of sequence kh?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.25 + 0.65. What is the second smallest value in 0, 1\/4, 1\/2, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17\/14 + 9\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:43 AM and 6:40 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 5598883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the second derivative of -h**4\/4 + 13*h**3\/2 - 13*h**2\/2 + 26*h. Let v(y) be the first derivative of l(y). What are the prime factors of v(-24)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6586890 is divided by 21248.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2084799 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/1344 and -41\/530064?\nAnswer: 14841792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(51)\/(sqrt(18)\/sqrt(6))*-5*4 + -2.\nAnswer: -2 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/((x\/(x\/x**(-8\/3)))\/x))\/(x*x*x\/x**(-4)*x)*x**(-9)\/x**6 assuming x is positive.\nAnswer: x**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuueewyezwu. What is prob of picking 1 y, 2 u, and 1 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a + 77. Let j be n(-16). Let g = 115 - j. Calculate the highest common factor of g and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes after 5:00 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 127 + 135, -3*f + 1028 = 4*o. Calculate the remainder when f is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -19*x**3 - 857*x**2 - 93*x - 22. What is t(-45)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-4) + 3\/60. Let p = 3.6 + -0.6. Which is the third biggest value? (a) x (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 87.75853kg to micrograms.\nAnswer: 87758530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the first derivative of u**4\/4 + 2*u**3 + 3*u**2\/2 - 5*u - 6. Let h be x(-5). Solve 4*c - 4*n = -8, -h*c = -0*c - 3*n + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i**3 - 19*i**2 + 30*i - 24. Let s be 17 + ((-19)\/4 - (-11)\/(-44)). List the prime factors of r(s).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21 + 14. Let z(g) be the second derivative of g**5\/10 + 5*g**4\/4 + g**3\/6 - 5*g**2 - 23*g. What is the units digit of z(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/7*3)\/((-218)\/6867)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*k + k - 23 + 12)*(-k - k + 6*k) to the form u*k**2 + t*k + h and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 13b + -75?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1908, 4905, 9036, 14301?\nAnswer: 20700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2109 divided by 19?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j + 8. What is the second derivative of f**2 + 2 - j - 35*f + 40*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 8316800 or 8316801?\nAnswer: 8316801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/5))**(-2\/13)*((f*f**(-1\/2))\/f)**(2\/7) assuming f is positive.\nAnswer: f**(-37\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-12)\/(-8))\/((-2)\/(-4)). Suppose -x - 1 = 4, -4*k - 2*x + 54 = 0. Suppose 0 = 3*q + q - k. Solve -5*f - 7 = -2*d, r*f + d + 6 = q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 708339 less than 0.5?\nAnswer: -708338.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 4*a + 2*m + 22 = 0, -17 = -4*a + m. Suppose -a = -18*z + 14*z. Let v(l) = 2*l**2 + z - l - 4*l - 3*l**2. Calculate v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-4\/13)\/(v*v**4*v) assuming v is positive.\nAnswer: v**(-82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 5\/7, 0.2, 0.28?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*(v*v\/(v*v\/(v*v*(v\/v**(2\/7))\/v)*v))\/v)*v*v**(-2\/127)\/v*v*v)\/((v*(v\/(v**(2\/3)\/v))\/v)\/(v\/(v*v*v\/v**17))) assuming v is positive.\nAnswer: v**(42503\/2667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 27819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 181611 and 612?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (10\/6 + -2)\/(4\/(-2748))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -305, -609, -913, -1217?\n\"Answer: -304*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.82 - -0.02. Let f = -4.1 - r. Let q = f + 2.311. Round q to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1433210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 150 divide 13966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes before 9:35 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 21789 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 210 + -219. Find the common denominator of 41\/60 and (7\/r)\/((-3)\/(468\/(-40))).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75 = -13*k + 8*k. Calculate the greatest common factor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -5*a + 17. Let t(g) = g - 4. What is 2*s(h) + 9*t(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-3 - -3) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -342 and 43.55?\nAnswer: -14894.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 235314\/1170 + (-3)\/(-15) + (-4)\/10. Which is greater: 200 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1213 divide 24505318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -1.92593013.\nAnswer: -0.385186026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2171 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -80734572 at least -80734572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c**(-1))**24*c\/(c\/c**(-4))*c**(-3) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the third derivative of -k**7\/630 + k**6\/15 + 5*k**5\/36 + k**2 - 140*k. Factor d(s).\nAnswer: -s**2*(s - 25)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/7, 0.53, -0.2, 1.12, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 - -4. Let i = r - -4. Let f be (-1)\/(-3) + i\/(-3). Solve -j - 3*z = -6, 5*j + 1 = z - f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xl when two letters picked without replacement from llxlllllxlxlxxxlll?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -13*k + 8. Determine j(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the third derivative of -11*p**4\/24 - 20*p**3 + 3*p**2 - 11*p. What are the prime factors of y(-16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.9541 + 20.9459. Sort v, 1\/10, -1\/4, 5 in decreasing order.\nAnswer: v, 5, 1\/10, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33*-189263.\nAnswer: 6245679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**3 + 3*c**2 + c - 2. Let p be s(-3). Calculate the smallest common multiple of 6 and (3\/(-3) - 1)*p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 10730 * 193\nAnswer: 2070890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -671, -9.5, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19086 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, -27, -5, 4, 5, 3 in decreasing order.\nAnswer: 17, 5, 4, 3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1773344 is divided by 747?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*m - 3 + 12*m - 33*m)*(-3 + 1 + 0).\nAnswer: 28*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.149 (b) 1 (c) -8\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnmdnbcbncb. What is prob of sequence bcc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2151145078 and 3.22?\nAnswer: 2151145074.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1545244706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -254, 0, 3, -3.\nAnswer: -254, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 - 3. Let n = -3 + q. Let x = -2 + 1. Sort n, x, 6 in descending order.\nAnswer: 6, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 33241*c**2*t**3*w**2 - 6*c**2*t**2 - 5*t**3*w + 2*t**2*w**2 - 718*t**2*w + 18*t wrt c?\nAnswer: 66482*c*t**3*w**2 - 12*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 262095 and 200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 16*p**4\/3 + 13945*p**3\/3 + 44114*p**2 + 393472*p\/3 + 344800\/3 = 0.\nAnswer: -862, -4, -25\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -22361323.66 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 3*b. Suppose -27*s = -6*s - 84. Let h be (-1 - 1) + 20*1. Let a(k) = -4*k - 8*k - k. What is h*m(d) + s*a(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 587 divide 523800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from drq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -23058*q + 1703. Is d(-47) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 24\/7*(-6 - 131\/(-2)). Calculate the highest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 + -20 - -38) + 690\/(-175).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of i**4 + 5*i**3 + 23. What is the third derivative of z(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 5*j - 5*j**2 - 8*j + 3*j. Let x(d) = 2*d. Determine b(x(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add -83831 and 0.266.\nAnswer: -83830.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - 1120202?\nAnswer: -1120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4112734 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 853.2204 millennia to centuries.\nAnswer: 8532.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 97962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -4 (b) -283 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/136734 and -79\/60.\nAnswer: 1367340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 - 30*u**2 - 31*u + 82. Determine r(-29).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -13 + 5?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -4406*x**2. Let f(t) be the second derivative of -t**4\/3 - 2*t - 3523. What is f(w(s))?\nAnswer: -77651344*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -286.9758 - -287. Let s = r + -5.0242. What is the nearest to -1\/3 in 4, 6, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -54830*r**2 - 33170*r wrt r?\nAnswer: -109660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2814 + 2824. Are 4\/77 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000885 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -80911 = 361*u + 908*u - 26897 + 42430 for u.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 3, k: 3, b: 7, l: 1}. Give prob of sequence lb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -3*b + 3*j - 315, -5*b - 525 = 4*j. Let a = -53 - b. Suppose 0 = -3*k + 89 + a. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*k + 24358 - 31576. What is the highest common divisor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1446 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2234, -4502, -6770, -9038?\n\"Answer: -2268*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 7:13 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6060333 and 277037?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(320)*-1 + sqrt(20))\/(sqrt(16)\/(-2*sqrt(4))) + (5 + (sqrt(245)*-2)**2)*6.\nAnswer: 6*sqrt(5) + 5910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -11*q - 7. Let r(h) = 12*h + 7. Let t = 6 + -13. Let z(m) = t*j(m) - 6*r(m). What is the derivative of z(x) wrt x?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**21\/r**5)\/(r**(1\/4)*r*r**(-5\/3)*r) assuming r is positive.\nAnswer: r**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8060)\/3100)\/((-4)\/60).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -121212 - 1112120022110?\nAnswer: -1112120221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8.1 + -1.9. Let n = y + 1. Let u = n + 5. Which is the biggest value? (a) -0.5 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -44*p**2 - 3*p + 1717. Let f(k) = 3*k. Determine f(y(o)).\nAnswer: -132*o**2 - 9*o + 5151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b + 4*b - 4*b)*(79*b + 56*b - 34*b)*(-1 - 1 + 4)*(-20*b**2 - 10*b**2 + 3*b**2).\nAnswer: -10908*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 759 divided by 69?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z + 20, -4*z - 10 = -5*v - 31. What is the tens digit of -4*(v - (-21)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 235413 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + 313342?\nAnswer: 313342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 12 = 8. Let h(l) = 64*l. Let z be h(y). What is the tens digit of (-8)\/(-20) + z\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6867 + 6864. What is the closest to -3 in -189, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -15*n**4 - 137*n**3 - 113*n**2 + 15*n. Let b(t) = -2*t**4 - 17*t**3 - 14*t**2 + 2*t. Let g(y) = -51*b(y) + 6*m(y). Factor g(i).\nAnswer: 3*i*(i + 2)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-15)\/(-9))\/(5\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the first derivative of o**2 + 2*o**3 + 6*o + 1\/4*o**4 - 51. What is m(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*d + 5*d - 2*d**3 - 10*d - 2*d**4 - 10*d**2 as k*d + y*d**2 + l + q*d**3 + i*d**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the second derivative of -5*s**4\/12 + s**3\/3 + 987*s. Determine v(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -5*c**2 + 59*c + 31. Give w(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -668 times 0.5\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12130861 is divided by 1135.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 2*r + 9. Let c be a(-7). Let x(k) = 5*k + k - 1 + 3 - 4*k**2 - k**3. Give x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2619 and 4753?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/4)*x)\/(((x\/(x\/x**5))\/x)\/x*x))\/(x**(3\/2)\/x**(-5\/2)) assuming x is positive.\nAnswer: x**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1 + (1 - (-3 - (-2 + -5)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of w**6 + 7631851*w**4 - 2*w**3 - 7*w**2 - 25*w + 1050 wrt w?\nAnswer: 120*w**3 + 183164424*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11121.\nAnswer: 3, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1.06139 centimeters?\nAnswer: 10613900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v + 3*v + 2*v**3)*(2*v + 4*v - 4*v) + (-3*v + 18*v - 4*v)*(-75 + 12*v**3 + 75).\nAnswer: 136*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x - 2*k - 86, -961*x + 964*x + 3*k = 51. Factor x*s - 24\/5 + 24*s**3 - 32*s**2 - 8*s**4 + 4\/5*s**5.\nAnswer: 4*(s - 6)*(s - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + 2*z + 0*z)*(-3 - 5 + 3)*(-2 - z + 2) + 34*z - 30*z**2 - 34*z.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0 (b) 17090 (c) -7 (d) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8960\/28)\/(-16)*348\/145.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 22\/27 and 19\/16353.\nAnswer: 49059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**3\/3 - 9580*v**2 + 34377798*v + 826907536\/3.\nAnswer: 2*(v - 7189)**2*(v + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 630, -3, -9, -13, -34 in decreasing order.\nAnswer: 630, 0, -3, -9, -13, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x**3 - 2*x**3 + x**3)*(-4*x**2 + 3*x**2 + 3*x**2) - x**5 + 6*x**5 - 4*x**5 + 0*x**5 + x**5 + 5*x**5 + 6*x**3 + 6*x**5 - 6*x**3.\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 444 and 3575421.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*p**4 - 2*p + 4*p - 7 - 3*p**4 + 11*p**3 - 9*p**3 in the form o*p**4 + j*p + z + x*p**3 + g*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/267044 and 87\/196?\nAnswer: 13085156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 + 36*w - 304. Give y(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 7*y + 9. Let h be q(-6). Let b = -23 - h. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*k = -5*k + g + 13, -44 = 4*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -5*r**2 + 6*r - 1. Let n(h) = -4*h**2 + 5*h. Calculate -5*f(z) + 6*n(z).\nAnswer: z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16847452?\nAnswer: 2, 19, 221677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 + c - 2 - 11 + 13 to the form o*c + a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 66147 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:44 AM and 9:23 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/9, -1, 0.06299376 in decreasing order.\nAnswer: 1\/9, 0.06299376, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = q - 2. Let s be -3 + q + 7 + 0. Let z = -3 + 1. What is the nearest to s in -0.1, z, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -4*d**2 - 79*d - 27. Let r be l(-19). Solve 13 = v + 4*a, 4*v + 0*a - r = -5*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 21*y = -49 - 81, 5*t + 2*y + 17 = 8 - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -13*b**3 + 25*b**2 - 24*b - 3. Let w = 2 - -3. Let u(n) = 7*n**3 - 12*n**2 + 12*n + 1. Let p(o) = w*u(o) + 3*x(o). Determine d so that p(d) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 99 divide 187902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0150529 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 + (-56)\/(-12))*3. Let x be (10\/s)\/((-2)\/(-4)) - -5. Let c be ((-106000)\/x)\/((4 - 2)\/6). Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 55 = o - 68, 4*m = -20 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = o - 88, -5*d - 2*o = -4*o - 154. Calculate the remainder when 81 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30676127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, m: 1, x: 1}. Give prob of sequence xp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54\/(-72)*(-24)\/15)\/(16\/(-20))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5383728 and 2050944?\nAnswer: 43069824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -3532 + 1223*v**2 + 3532 + (-v + 3 - 3)*(3*v - 3*v - v).\nAnswer: 1224*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1, 178 in increasing order.\nAnswer: -2, 1, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0.064, -0.3 in descending order.\nAnswer: 0.064, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 13*d + 70. Let h(v) = 7*v + 33. Determine 11*h(t) - 6*j(t).\nAnswer: -t - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 142332 + -10?\nAnswer: 142322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -3277*x - 13100. Give h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -0.020721 at least as big as 0.025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 43*a**3 + 2*a**2 - a. Let u be g(1). What is the highest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p = 7*p + 8. Let t be 0*(p\/1)\/(-8). Let u(a) = -a - 3. What is u(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4*(6 + -7))\/(1\/(-5)). Suppose 5*l = -49 + 19. Let x be b\/15 + 8\/l. Solve x = -5*s + 42 - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-134760)\/(-156) - (-10)\/65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*m = -52*m - 9*m - 3510 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 479469 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/((g\/(g*(g*g\/(g**(-2\/3)\/g))\/g))\/g*g))**(-1\/7)\/(g**1)**(-34) assuming g is positive.\nAnswer: g**(703\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/26984 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 33373481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, -0.11, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29197809.\nAnswer: 3, 29, 111869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 192497?\nAnswer: 192497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.5062 - -0.5. What is y rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1752 in 3, -917, -5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 585*b**5*k**3 - b**5*k**2 + 3*b*k**3 - 7*b*k**2 - 78*b wrt b?\nAnswer: 11700*b**3*k**3 - 20*b**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 263*n - 63 = 252*n + 146 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40\/100*(-5)\/30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 836 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 3 g when four letters picked without replacement from pppeelleggxxlg?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.04 - -0.13. Let d = 2.17 - w. Which is bigger: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(1*sqrt(6776))\/(sqrt(40)\/(sqrt(5)*2)).\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be -6*(-2)\/(-12)*-4. Suppose 0 = -n - n - 4*h + k, -6 = -3*n + h. Suppose s - 7 = -n. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/7 in -2, 3150.5, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(2 + 168\/(-87)). Let n = -12 + z. What is the remainder when 64 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 89 - 93. Let k be (2\/w)\/((-2)\/16). Suppose -k*q + 108 = a, -5*a + 504 = q - 112. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.3035 - 0.8035. Put -5, f, 40\/13 in descending order.\nAnswer: 40\/13, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + (16 + -6 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 421*o + 508. Let r(u) = 38*u + 46. Let g(s) = 2*q(s) - 23*r(s). Give g(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -175, -330, -457, -562, -651, -730, -805, -882?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16 - 8) + -20 - (-4 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6.018 + 1.018. Let v = -0.11 + 0.01. Which is the smallest value? (a) v (b) -3 (c) r (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bebsoebhekko. Give prob of picking 2 o and 1 s.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {s: 1, w: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-9*(-837)\/1)\/(-1 + 2). Suppose -31457 + a = -4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9939857 micrometers to kilometers.\nAnswer: 0.0000000009939857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 178*n**3 + 29*n - 31*n - 97*n**3 + 14*n - 82*n**3.\nAnswer: -n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-55)\/2)\/(290\/(-232)). Solve 4*j + 30 = 2*n, -2*j + 2*n = -2 + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 60c3 (base 14) to base 15.\nAnswer: 4de0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**11*w*w**2 assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000001143333 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/2)\/(8\/(-64))*7037\/(-227).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -115241.9 rounded to the nearest one thousand?\nAnswer: -115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -3. Let k(w) = -4*w - 2. Let p be k(0). Which is the second smallest value? (a) -2\/7 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:54 PM and 6:03 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2\/27)\/(q*q*q\/q**9*q))\/(((q\/(q**(3\/4)*q))\/q)\/(q*q\/(q*q**(-20)))) assuming q is positive.\nAnswer: q**(2989\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j - 5*l + 6 + 2, 2*j + 4*l - 26 = 0. Let y(c) = -1 + c**2 + j*c - 3 - 1. Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 14.65794 nanograms to grams.\nAnswer: 0.00000001465794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.01 and -120855470030?\nAnswer: 120855470030.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.18162 - -0.244678. Round l to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11340 is divided by 98?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/(-12)*2*1\/(-156). Let b = 929\/819 + k. Factor 6\/7*m**2 - 4\/7*m**3 + 8\/7*m - 2\/7*m**4 - b.\nAnswer: -2*(m - 1)**2*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -2*a**4\/9 - 28*a**3\/9 - 34*a**2\/3 - 12*a = 0.\nAnswer: -9, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + w + 9 = 0, -2*d - 21762 + 21778 = -4*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -15 (b) -2\/75 (c) 0.29 (d) 3 (e) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13 - -2) + 5 - (210 - 209)) + 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g**2 + 7*g**2 - 2*g**2 + (4 - 4 + 2*g**2)*(2 - 1 - 4).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4*d = -15, 3*y = 2*y + 5*d + 21. Let i(u) = 4*u**3 - u**2 + 1. What is i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6394 - -5?\nAnswer: 6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2344*i**2 + 2344*i**2 + 975*i**3.\nAnswer: 975*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4027899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4\/239 - 551\/18642. Let z = -209 + 227. Suppose -3*g + z - 18 = 0. Is k not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 36*g - 638. What is the remainder when t(26) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*r**5\/5 - 8*r**4\/5 - 2*r**3 + 8*r**2 + 8*r\/5 - 32\/5 = 0. Calculate r.\nAnswer: -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p - 54 - 21. Let x = -8 - p. Solve -2*z + x = -1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (92\/32 + -4)\/((-204573)\/(-29488))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 878049, 878033, 878003, 877953, 877877, 877769, 877623?\nAnswer: 877433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-95))\/((-25)\/(-125)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**2 + s + 7. Let w be (9\/6)\/((-33)\/44). What are the prime factors of f(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5573*d**2 - 2789*d**2 - 84*d**3 + 3*d**4 + 305 - 2785*d**2 - 78 wrt d.\nAnswer: 72*d - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*a**3 - 108741*a**2 - 144976*a - 48324.\nAnswer: -(a + 12081)*(3*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8.9 + 9. Let b = 0.06 - -3.94. Put n, -0.2, b in increasing order.\nAnswer: -0.2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 2*g + 2 = 4*g, 4 = 3*y + 4*g. Suppose y = -4*n - 0*n + 12. What is the units digit of ((-3)\/n)\/(4\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1391020840 and 22506.\nAnswer: 7502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 63162244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 380428073?\nAnswer: 23, 16540351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -4*n + 7. Let h(v) = 2*v + 1. Determine d(i) + h(i).\nAnswer: -2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/49, 7\/190, -5.\nAnswer: -5, -2\/49, 7\/190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.9296 and 186.209.\nAnswer: 187.1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i and 1 v when four letters picked without replacement from {v: 9, d: 2, z: 3, i: 3}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - 3) + -39 + 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 4*i**3 + 2*i + 1. Let x(n) = -4 + 5 - 8 + 3*n - 12*n. Let y be x(-2). Suppose -12 = y*s - 1. Calculate c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 182572 = -190*m - 3321*m for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 166*p = 168*p - 20 - 14, 0 = 2*m - 5*p + 29 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5993?\nAnswer: 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1454248741 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the first derivative of i**3\/3 - 3*i**2 + i - 40. Give f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 168952 is divided by 722.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 359014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 48 + -87. Let d = q - -37. Let c(g) = 2*g**2 - 1. Give c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0024383 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 49? (a) 0.3 (b) -3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -2704 and 1.\nAnswer: -2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the third derivative of c**5\/20 - 22*c**2. Let g(w) = -24*w. Determine g(r(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -182*p**2 + 151*p**2 + 34*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1934212108 to the nearest integer?\nAnswer: 43980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 360*k - 100*k - 106*k - 110*k - 95*k + 1.\nAnswer: -51*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3712, -3729, -3664, -3475, -3120, -2557?\n\"Answer: 7*x**3 - x**2 - 63*x - 3655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*v + 26*v - 10*v - 3730 = 0. What are the prime factors of v?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79 is divided by (-70)\/(-1)*8*15\/200.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(45))\/sqrt(5))\/(sqrt(540)\/sqrt(5)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13.1 + -14. Let o = -1 - p. What is the third biggest value in o, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 269847401021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 558, 2, 5, -4, 3 in decreasing order.\nAnswer: 558, 5, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 127787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4 - 315903*a**3 - 24948518400*a**2 + 24948834304*a.\nAnswer: -a*(a - 1)*(a + 157952)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*j + j - j)*(-2 - 20 - 21) as l*j + q and give l.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 18 + 233173.2\nAnswer: 233191.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 9, f: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -10*t + 12*t - 3 + t in the form w + p*t and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 627 or 633?\nAnswer: 627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19 - q + 24 - 57 + 18.\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 6 - 2*o**2 - 2*o**2 + 6*o**2 + (-1 - 1 + 3)*(-203*o + 203*o - 20*o**2).\nAnswer: -18*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y - y - 2*y)*(-2*y**2 - y**4 + 0*y**4 + 0*y**2) + 4*y**5 - 8*y**2 + 8*y**2.\nAnswer: 3*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8\/(-5) + 1 - (-18)\/30. Put c, 237, 3, 1 in increasing order.\nAnswer: c, 1, 3, 237","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19.985 - 15.985. Let v = -5 + 6. Sort o, -1.2, v.\nAnswer: -1.2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-4))\/(8 + (-34)\/6 + (-22)\/11).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + 0*(-2)\/(-4). Let m = u - -1. Suppose -8*k + 3*k = 5, 18 = m*s - 3*k. Put -4, s, 9 in descending order.\nAnswer: 9, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 138\/414*((-4)\/2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 108*g - 740. Calculate r(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*k - 11280 + 11160 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 - 4 + 1 = -5*t, -7*k + 39 = -3*t + 3 - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4965741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-245 + -3 + 5)\/(-1) - 0. Suppose -5*c = -0*c - 10. List the prime factors of c\/(-10) - k\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w + 5*w + 18 = 0. Suppose -1 = -4*o + 5*y + 22, 5*y = -3*o - w. Find the third derivative of -f**6 + f**o + 0*f**2 - 2*f**6 + f**6 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 129*o - 2200. What is i(20)?\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(125)\/sqrt(5) + sqrt(25))*-4)\/(2*sqrt(5)*-2 + sqrt(5)))**2.\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 81277 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0, -95, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -3772 divided by 943\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 20 = x - 4*u, -4*x - 15 = 3*u. Sort x, 7, -4 in decreasing order.\nAnswer: 7, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5 - -8) + -1 + 39 + -1. Suppose 6*w + v = w. Let r be (w\/(-12))\/((-3)\/(-171)). Calculate the highest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 6*t**2 + 18*t - 2. Let h be l(5). Suppose -9*i - 2*g = -11*i + 250, -2*g + h = 2*i. What is the lowest common multiple of 10 and i?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**7*j*j**(-1)*j)**25)**33 assuming j is positive.\nAnswer: j**7425","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 24*d - 211. Let b be c(9). Solve -b*s - 122 + 112 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 276.15 rounded to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -61250000 to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 608012 is divided by 7330?\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 20.6 times 7\nAnswer: 144.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 112\/37133 + 449158192\/854059. Let p be -1*(-526)\/(1 + -2). Let v = j + p. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes before 5:45 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 192975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 + 2*g**2 + 11*g. Calculate the least common multiple of j(4) and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 7*r**3 - 4*r**2 - 4*r + 15. Give v(3).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -50*m**3 + 389*m**4 + 66*m**3 + m - m**2 - 18*m**3 to y*m**4 + k + a*m + p*m**2 + i*m**3 and give y.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 40252*b + 377. Let s(q) = 639*q + 6. Give 377*s(z) - 6*t(z).\nAnswer: -609*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 6*m - 4. Let a(z) = 6 - 3 - 247209*z + 247204*z. What is 3*a(i) + 2*s(i)?\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - 0) + (-4 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 27\/5 of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -123 = -11*n - 35 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -259*a - 1400 = -552*a + 253*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that g**4\/6 - 1358*g**3\/3 - 435073*g**2\/2 - 648531*g = 0.\nAnswer: -414, -3, 0, 3133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36451243 is divided by 2651.\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*k**3 - 4905*k**2 - 395750*k + 11636160.\nAnswer: 5*(k - 1054)*(k - 23)*(k + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -208, -209, -210, -211?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35470?\nAnswer: 2, 5, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -p - f - 0*f + 3, -2*p - 4*f = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43136 - -43015. Which is the closest to -0.1? (a) -5 (b) 0.07 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -184, -374, -566, -760, -956, -1154, -1354?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u - x + 11 = 0, 3*u + 0*x - x = 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -4*r**2 + 72324*r + 72328 = 0.\nAnswer: -1, 18082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ptttptpptuucpppptt. What is prob of picking 2 t?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 8:07 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 10011111 (base 2) to base 9\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -17169721*m - 24234754?\nAnswer: -17169721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q, 0 = 4*j - 4*q + 2*q - 2760. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86\/7477815 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 33820 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2*w - 1 + 2*w + 5 - 5 + w - w + 2*w + (-3*w + 3*w + w)*(-4 + 2 + 4) + 0 - w + 2*w + 2 - 2*w + 0*w + 4*w)*(11*w + 0*w + w).\nAnswer: 132*w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**2 + 30*w + 80.\nAnswer: -5*(w - 8)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*x + 4*x. Let a(y) = -3*y - 4. Let t be a(-4). Suppose -32 = -m - 4*k + t, -5*k + 5 = x. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -787*i + 0*i**2 - 117*i - 485*i**5 + 36*i + 0*i**2 wrt i.\nAnswer: -9700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 135 divide 8134425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 5 = 5*m. Let y = -17 - -52. Let x = -39 + y. Which is the second smallest value? (a) x (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*n + 12*n**2 + n - n as y*n + m + g*n**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (12 + -10)\/((-20)\/6). Let p be 1\/((1\/(-870)*3)\/(-1)). Let a = 291 - p. What is the nearest to -0.04 in a, x, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**3 + 91*p**2 + 1253*p + 73. Is 76 a factor of z(103)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3402, 2, 0, 2\/7 in increasing order.\nAnswer: -3402, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (14 - 36)\/((-4)\/2). Let m(d) = 0*d + d + q - 2 - 1. Let k be m(0). Solve -3*l - k = -2*n, -4*n + 11 = -2*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 28312 by 4.\nAnswer: 7078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7810200 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 1071*y**2 - 9*y - 35. Is w(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by -12.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1032, -2120, -3208, -4296, -5384, -6472?\nAnswer: -7560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmjw when four letters picked without replacement from jwwmmmjwmwwwxxgmmx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -84, -86, -86, -84, -80, -74, -66?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 264 a factor of 267666815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1583191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2268963, -4537907, -6806851?\n\"Answer: -2268944*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -40\/363 and -86\/21.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -196*r + 128. What is the hundreds digit of f(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2\/33 - -3\/11. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**4 - 2*m**3 + m**2. Let d(u) = -19*u**4 - u**2 - 6026. Let r(b) = -d(b) - n(b). What is the derivative of r(a) wrt a?\nAnswer: 72*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 + v**2 + 11*v - 25. Let l be f(3). Let j(x) = x**2 + 10*x + 5. Give j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 x when three letters picked without replacement from xukzm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 4 + (0 - 14) + (6 - 5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 14*k + 4*k**2 - 14*k as z*k + q + g*k**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-382)\/(-22729))\/(1\/21). Factor 2\/17*a**2 + g*a + 4\/17.\nAnswer: 2*(a + 1)*(a + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 8*i - 29. Let q be h(15). Let b = -63 + q. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iiy when three letters picked without replacement from iiyyiiyiziyz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -13 + -32 + (45 - 2) + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*n + 68 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 0 - (36 + -62 - 5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - ((-7 - 4) + 4) - 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 4*i**3 + 632*i**2 + 19036*i + 18408 = 0. What is i?\nAnswer: -118, -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(63)\/sqrt(144) - (sqrt(448) + -1).\nAnswer: -31*sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = 0, 3*l + b = 2*b + 27. Let j(r) = 0 + 7 - 1 - 6*r**2 - r**3 + 7*r**2. Calculate the lowest common multiple of j(0) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10184365.\nAnswer: 5, 29, 70237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 38 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 - 3. Suppose -d - d + 30 = 0. Suppose m*q = d - 3. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 123 = 17. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -37*c. Let p(i) = 259400*i**2. Determine m(p(z)).\nAnswer: -9597800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s**(-2\/7)*s)**(12\/11)*s**(-1\/15)*s\/s**(-1) assuming s is positive.\nAnswer: s**(5653\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 - 7. Let z be ((-1)\/x)\/(1\/(-6)). Find y, given that 33*y**3 - 36*y + 12 - 33*y**2 - 21*y**z + 94*y**4 + 78*y**3 - 19*y**4 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1435850085 a multiple of 2472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/33106100 or 1?\nAnswer: 3\/33106100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -23 - -35. Let c = r + 0. Suppose 0 = -x + i + 9, 0 = 4*x - 3*i - 19 - 13. Calculate the remainder when c is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 801 = 22*l + 119. Suppose q = 2*y - 0*y - 17, -2*q - 40 = -5*y. Solve -y*v + l = 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 3*c - 4*c)*(-4 + 51 + 6).\nAnswer: -106*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 149185373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2193 + -2174. Solve -7*u - 12*u - f = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 171 = -5216*f + 5211*f, 0 = 5*h - f - 855. Suppose -3*w - 10 + 67 = 0. Calculate the greatest common factor of h and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 55510, 55744, 55978, 56212, 56446, 56680?\nAnswer: 56914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is w in -8\/3*w**2 - 52\/3*w**3 + 52\/3*w + 8\/3 = 0?\nAnswer: -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + 0 + 238\/(-210) + 2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of 33\/2*p**2 + 0 - 4*p**3 + 8*p. What is the derivative of t(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 7161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 10? (a) -2.9 (b) 0.1 (c) 9 (d) -0.2 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((6\/(-70))\/((-6)\/(-5)))\/1\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 170\/71 + -30677\/11715. Calculate the common denominator of 22\/105 and v.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89949638?\nAnswer: 2, 44974819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 3:37 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -0.2 (c) -4 (d) -3 (e) -13 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 69 + -17. Suppose 2*l - 39 = 3*w + 58, 2*w - t = -l. Suppose -1 = -4*x + 39. Calculate the greatest common factor of l and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -2*x**2 - 16*x + 12. Let z(g) = -6*g - 9. Let y be z(0). Give i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.4273512 and 0.17626?\nAnswer: 0.2510912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 21*t**3 + 3*t**2 + 196*t + 6. Let j(n) = 20*n**3 + 3*n**2 + 196*n + 5. Let m(k) = 6*j(k) - 5*z(k). What is the second derivative of m(r) wrt r?\nAnswer: 90*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 5*z - 72. Let s be c(14). Let d be (19 + (-11 - -6))*s. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*t + 17*t - 48. Find the third derivative of -5*m**5 + 78*m**t - 6*m**5 + 16*m**3 - 6*m**2 + 9*m**5 wrt m.\nAnswer: -120*m**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xmww. Give prob of sequence wm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 430877.\nAnswer: 59, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (65\/2)\/(-1)*(-56)\/20. Let q = 122 - i. Let g = 139 + -83. What is the remainder when g is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of 37*j**2\/2 + 2*j + 8. Let k be g(1). Let d = -22 + k. Solve 2*x - 6 = -2*a, 3*a - 4*x = x + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 19*j - 30*j - 5 - 5. Let x(l) = -11*l - 11. Let c(w) = -7*p(w) + 6*x(w). Differentiate c(s) wrt s.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 211107561 to the nearest integer?\nAnswer: 14530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/9 (b) 1 (c) -1\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:47 AM and 9:28 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48 + 0 + 2 - 88.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 24*i - 117. Let m(x) = -49*x + 254. Determine -6*m(g) - 13*z(g).\nAnswer: -18*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -687*v**2*z**5 + 145*v**2*z**2 + 2*v*z**2 + z wrt z?\nAnswer: -41220*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 163604727?\nAnswer: 3, 11, 13, 23, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 3*a + 384 = 0. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19536 + -19533. Put -0.131, t, 19 in descending order.\nAnswer: 19, t, -0.131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of i**5\/20 - i**4\/12 - i**3\/6 + i**2\/2 - i + 18. Let t(l) be the first derivative of w(l). Factor t(d).\nAnswer: (d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 4*o**3 - 8*o**2 - 39*o + 9. Let m be (-16)\/(-2) + (3 - 1). Is j(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 + 10. Let f = -1 + p. Let k(n) = 5*n - 6*n**f - 5*n - 1. What is k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2508043957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 - 10*y - 17. Determine q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 4*g - 42, -5*c + c - g = -43. Suppose 20 + 16 = 2*b. Calculate the remainder when b is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - 1. Let d(o) = -7*o**2 - 2*o. Let q be d(m). Let b = 46 + q. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -703*p = -927*p + 6496 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y + 87737 - 175446 + 87721.\nAnswer: -y + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -5608*x + 5607*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*l - 108 + 185 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3414, 6779, 10080, 13317, 16490, 19599, 22644?\n\"Answer: -32*o**2 + 3461*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-24)\/84 - (4876840\/(-70))\/4.\nAnswer: 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24 - -26. Put 0.1, -4\/3, u in ascending order.\nAnswer: -4\/3, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 48354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 11*v**2. Let y(z) = -19*z. Give y(j(h)).\nAnswer: -209*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-6))\/a)**(-1\/3)\/(a**4\/a)**(-1\/6) assuming a is positive.\nAnswer: a**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 252*u = 1473*u + 9768 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 - -1330221020200?\nAnswer: 1330221020130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 54 and 8005980.\nAnswer: 72053820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -143291 + 143326 = k + 4*n, 4*k = -5*n + 63 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 76 - 149. Let c = 5 - o. Suppose 3*l - 189 = -2*m, 5*m - 388 + c = -5*l. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 33*y + 164. Let o(u) = 9*u + 41. Determine 4*h(a) - 15*o(a).\nAnswer: -3*a + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 16*k**2 - 16954*k - 6360.\nAnswer: 2*(k - 1060)*(8*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2674 + -338. What is the greatest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*v**2 + 1\/2*v - 1\/2*v**3 + 0.\nAnswer: -v*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3519 and 8608256.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -8.6455*-0.2\nAnswer: 1.7291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -167197, -167183, -167169?\nAnswer: -167155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2588107843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-1\/4))\/h**(-16))\/(((h*h*h**(2\/3)*h*h)\/h)\/(h**11*h)) assuming h is positive.\nAnswer: h**(307\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4013 - 24?\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 7cb3 (base 16) to base 9\nAnswer: 47710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*w + 3*w + 27. Let a = w - -39. Solve -3*n = -4*c - 0*c + 32, -a = -2*c + 5*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/66584 and -81\/915530?\nAnswer: 3662120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/((-9)\/(-12))*-3. Suppose -19*l = -15*l. Solve 0 = y - l*y - g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -3*w**2 - 41*w + 11. Let r be h(-14). Sort -6, -166, r, 0 in increasing order.\nAnswer: -166, -6, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xzgx when four letters picked without replacement from {x: 7, g: 2, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 16901275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = -k + v + 318, 3*v - 6 = 0. Calculate the remainder when 234 is divided by k.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 226962087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 146 = -0*p - 2*p, 0 = -4*o + p + 302. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5 + -12*(-16)\/(-36). Suppose 16 = -4*o, 5*k = -2*o - 31 - 22. Let x be ((-6)\/8)\/(k\/6). Is x equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z**2 - 451*z + 47*z**3 + 49 - 58*z**3 + 23*z**3 + 454*z to the form k*z + h + s*z**3 + a*z**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 4*i - 118, 0*i = 4*i + m - 122. Suppose i*y - 48 = 7*y. Let -6\/11*f**y + 18\/11*f - 10\/11 - 2\/11*f**3 = 0. What is f?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -168835 + 168859 = -8*u + 2*n, 0 = 5*u + 2*n + 41 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1581 less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 122 divide 57061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 138\/5 + 8\/20. Let n be 76\/z + 4\/14. Suppose -4*l + n*a + 18 = -l, 5*a + 18 = l. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 2*h = 30. Suppose y - 2*y + 10 = 0. Calculate the common denominator of (-98)\/y*(-25)\/h and 35\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19637431*h**3 - 39273946*h**3 + 19637169*h**3.\nAnswer: 654*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 15742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 2 = 2*m + 6, 5*m - 2 = 4*g. Suppose i - 7 = -m*a, -3*a + 6 = 2*i - 3. Suppose -v - c = -7, -5*v = -0*v - a*c + 15. Solve 0 = 4*j - v*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8574 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -8.6 minus -1.09?\nAnswer: -7.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19 + 7 + 29 - 15 - 1313*y to the form i*y + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 + 3*k**2 - 17247*k + 17250*k - 4 + 13. What is q(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*c - 52*c - 258 = 24*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-4)*168\/945.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 + 4)\/(-3 - -4). Suppose -5*n + 15 = k*q, 2*n + 3 = 3*n - q. Suppose 5*a = -z + 569, -3*a = n*z - z - 347. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2*v = -2 + 3, 0 = 5*d + 2*v + 5. Let j(c) = 15*c**3 + 2*c**2 + 18*c**3 + 5*c - 4*c - 26*c**3. Determine j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 3*b = 12, 7*l - 8*l + 2*b = -1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 + (-21)\/(-15))\/((-90)\/100). Let y = -9 - -12. Let l be (4 + -7)\/(1*4). Which is the second smallest value? (a) l (b) -0.7 (c) p (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate l**2 + 6055512*l - 100402483 with respect to l.\nAnswer: 2*l + 6055512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54\/(-228))\/(-3)*4\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - 11 = -3*m, 2*g + 409 = 2*m + 397 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1378 is divided by 680?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 179 - 433 = -3*q, 0 = -3*q - 2*z + 621. What are the prime factors of q?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*t - 5. Let s be ((-4)\/6)\/((-2)\/t). Let z = 4 - s. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:05 PM and 11:08 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 71, 97, 133, 173, 211, 241, 257?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 2653188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 247*s - 37371 - 50528 = 3278*s for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 135*0.2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3766, -7541, -11316, -15091, -18866?\nAnswer: -22641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 + 10*k**2 + 73*k - 28. Calculate j(11).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -284*o + 1114 + 8826 = 0 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0153 + 924.\nAnswer: 923.9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -54\/838541 and 59\/6403404.\nAnswer: 70437444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3*(-52)\/(-30)*-5)\/(-2). Let u = t + 17. Calculate the least common multiple of 14 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(245) + -3 + sqrt(245) + 1 + (sqrt(45) - 1*sqrt(45) - 1*sqrt(80)))**2 + 0.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k + 8. Let s be p(6). Let z(y) = y**3 - y**2 - 1. What is the units digit of z(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7258003 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**2 - 3*u + 2. Let p(x) = x**3 - x**2 + 2. Let t be p(0). Calculate s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 5 = 25. Suppose 12 = -2*s + f. Let x be ((-4)\/(-8))\/((-1)\/(-2)). Sort x, s, 3.\nAnswer: s, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes before 10:22 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -49577\nAnswer: -2\/49577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**2 - 4*p - 4. Suppose 5 = 4*z - 3. Let x(f) = -2*f**2 + 3*f - 1. Let r be x(z). Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 19 = o + 2, 5*o + 75 = 4*l. Let z = 20 + o. Solve 3*p = 2*i + 16, z = 5*p - 4*i - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 780.2 - 780. Put c, -0.1, 0.14, -0.5 in increasing order.\nAnswer: -0.5, -0.1, 0.14, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(0 - 35\/(-10)). Let d(b) = b**3 + 13*b**2 + 6*b + 4. Let u be d(r). What is the highest common divisor of u and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -18, -0.1, 9, -3, 0.4, 0.3, 43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-3)\/15*(-1070)\/16 + -2 and 17\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 507471.6s in microseconds?\nAnswer: 507471600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 87\/(-9) + (-2089008)\/(-228852).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 42, 94, 146, 198?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6335 is divided by 100?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 317582 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -64*d**3 - 6*d**2 - 5*d + 4. Let a be j(-4). Suppose 9*c = 5*c - a. Is c\/(-4) - 1\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/492 and 71\/30.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1467898023?\nAnswer: 3, 197, 2483753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 8 = 13, 5*t - 3*q - 348 = 0. Suppose 4*m + 382 - 1182 = 0. What is the remainder when m is divided by t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -6*h + 196. Let c = -49 + h. Suppose k - 4*k + 150 = c. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1749 (base 15) to base 14.\nAnswer: -1b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/15, -1\/9, 1633\/3, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17523.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-704)\/14*(-16 + 935\/68). Is h less than or equal to 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-1 + sqrt(304)) + -2.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.27057 - -0.29079. What is c rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*k**3*l**2 - 7697733*k**3*l - 67487683*l**2 wrt k?\nAnswer: 9*k**2*l**2 - 23093199*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -39\/19 and 51\/19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 655 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7233520?\nAnswer: 2, 5, 7, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -65 times 0.1\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + (18 - 71) + 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((6\/(-115))\/(46\/345))\/9.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1091*d**2 + 148 - 274 + 125 to the form t + f*d + v*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 96\/(-63) - (-14)\/(-21).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -8, -643 in decreasing order.\nAnswer: -5, -8, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 + -47. Is (-251)\/(-2) - y\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the third derivative of -r**5\/40 - 5*r**4\/4 - 25*r**3 - 11*r**2. Let k(h) = 0. What is h?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes after 11:29 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, y: 1, q: 2}. What is prob of picking 2 q and 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 2\/15 (c) -3\/5 (d) -374445\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29307 - 18733. List the prime factors of t.\nAnswer: 2, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -153 - -168.44. What is j rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:27 AM and 8:18 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 463 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 2*p = -3*d + 23, 6 = -2*d - 3*p. Suppose d*g + 55 = f, -2*g = -5*f + 5 + 10. Calculate the lowest common multiple of 11 and 12\/(-10)*g\/8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/((z\/((z*z**13*z)\/z))\/z))**(-4\/27)*z\/(z*z**(-33))*z\/(z\/z**(4\/7)))**(-29) assuming z is positive.\nAnswer: z**(-57275\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 145, 4677, 12229, 22801?\nAnswer: 36393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 - 6*l**2 - 2*l - 2. Let n be x(-6). Suppose 4*w + 6 = n. Suppose -8 = -4*d + 3*d. What is the greatest common divisor of d and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/2*(6 - 2 - 6). Let u be 4 - f*(-1 - 4). Calculate the remainder when 162 + (-7 - u - -2) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 2520 = 3*w + 2479, 0 = 2*r + 5*w - 43 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*h*k**3 + 3*h*k - 5*h + 9775*k**4 - 90*k - 7 wrt k?\nAnswer: 60*h*k + 117300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1616020096.\nAnswer: 2, 199, 63443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 4 - 3*p - 2*p**2 - 3*p**3 + 0*p - 7. Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*m = 43 - 12. Suppose -27 - m = -7*v. Solve 0*o - 5*h = -o + 10, -v*o - h = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -164*l**5 + 552911*l**2 + 9*l - 32063627 wrt l?\nAnswer: -3280*l**3 + 1105822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 296519 is divided by 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 398 + 1208 = 3*g - 2*l, 0 = -2*g + 3*l + 1074. Suppose 278 + g = 4*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 1081?\nAnswer: 10810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(32))**2 - sqrt(18)\/(sqrt(36)\/sqrt(4))) + (sqrt(66)\/sqrt(3)*5 - sqrt(22))\/(sqrt(55)\/sqrt(45)).\nAnswer: 36 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 275 or -4227\/4?\nAnswer: -4227\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-5)\/(-1) + -20 - -14. Let z = 2.27 + -2.5. Put -2, z, 2\/13, j in descending order.\nAnswer: 2\/13, z, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -1573*o - 161. Let s(q) = q**3 + 37*q**2 - 79*q - 49. Let u be s(-39). Is m(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 11697*w - 82. Is c(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 56 = y, -9 + 91 = 4*u + 5*y. Let b = -19 + u. Let i(o) = o**2 + 5*o + 3. Let l be i(-4). Is b at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -28805257 - 66?\nAnswer: -28805334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 244, -4, 11, 7, 179, -5, 4 in increasing order.\nAnswer: -5, -4, 4, 7, 11, 179, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aaaggelggggla. Give prob of sequence lg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (0*w + 5*w + w)*(3*w + 0*w - w) as o + q*w**2 + b*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -0.024 (b) -1\/6 (c) -2\/3 (d) 505 (e) -4 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.7605 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5543 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of 3*a**5\/20 - 227*a**4\/4 - 114*a**3 + 2168*a. Factor o(g).\nAnswer: 3*g*(g - 228)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -6786753 and 5.\nAnswer: -33933765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1252 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 32619099 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 131431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 5:47 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-44)*q)\/q**(-21)*(q\/(q\/(q*q\/(q**(-1\/72)*q))))\/(q**(-32)\/q) assuming q is positive.\nAnswer: q**(865\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the first derivative of -10*q**4 - 2*q**3\/3 - q**2\/2 - 3. Is a(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 194 smaller than 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -32 - -37. Find the third derivative of 3*t**4 + 0*t**4 - 5*t**2 + t**4 - k*t**2 wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1074862\/16 + (-999)\/(-7992)?\nAnswer: 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 647*o + 10079 = 2749*o + 170538 - 15421 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ca when two letters picked without replacement from {c: 1, n: 1, x: 1, v: 1, m: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -638025 and -8.\nAnswer: 5104200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1048355 - -0.2924?\nAnswer: -1048354.7076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 63*u**3 + 2*u**2 - 4*u**2 - 32*u**3 in the form b*u**2 + x + r*u + a*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(7\/6)\/x**(16\/7))**18 assuming x is positive.\nAnswer: x**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 82*j**4 - 44*j + 11086.\nAnswer: 328*j**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 93328700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Solve 1082\/5*u**3 - 2\/5*u**4 - 144708\/5*u**2 - 295936\/5 - 441728\/5*u = 0 for u.\nAnswer: -2, -1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**3\/5 - 253146*a**2\/5 + 202524*a - 1012632\/5.\nAnswer: -3*(a - 2)**2*(a + 84386)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -15 - 15*z - 4*z + z**2 + 6*z. Let l be x(13). Calculate the least common multiple of (-40)\/l*66\/8 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-13) - 15*17\/3315*-76?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 13.3 times -1355\nAnswer: -18021.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*y**3 + 32*y**3 - 112*y**3 + 35*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.11 + 5.11. Let t = 14563.1 - 14563. What is the third biggest value in w, t, -2\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 1\/31, -124, -2\/17, 0.2, -12\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2886 and 369684?\nAnswer: 177818004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = -2*r + 6, 3 = -18*r + 20*r + p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -162*w + 9. Let v be m(6). Let y = 455 + v. Let i = -243 - y. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1644346*c - 209346*c + 252107*c.\nAnswer: -1601585*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1806 - 1810. Let f(y) = 28*y - 18. Calculate f(d).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (28\/(-21))\/(6\/(-9)) - -277. What is the greatest common divisor of p and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*z**3 - 3*z**3 + 3*z**4 + (4*z**2 + z**2 - 3*z**2)*(-z**2 + 3*z - 3*z) + (-71 + 25 - 24)*(-2*z**4 - 2*z**4 + 0*z**4).\nAnswer: 281*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 10 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6356927 - -6356926.69999976. Let b = -4 + 3.7. Let u = t - b. Round u to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 47 = -2*l + 4*h, -h = 2*l - 27. Let v = l - 13. Suppose n - 5*s - 1 = 0, 3*n - 3*s - v = -2*s. Let o(y) = 3*y**2. Calculate o(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -143\/579042 and 61\/135.\nAnswer: 2895210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s = -48*s + 218625. Is s a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 12140 + -10454?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 69936200.56 rounded to the nearest 100000?\nAnswer: 69900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-77 - -79) + 12\/24*(-2)\/(-8)*22.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16 + 16. Solve 0 = -d*z - 4*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of y**7\/21 + y**6\/15 - y**5\/10 - y**4\/6 - 5*y. Factor f(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.4 + 0.38. Let k = -5.02 - a. What is the nearest to -1\/4 in 0, k, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of q**6\/300 + q**5\/75 - q**4\/60 - 2*q**3\/15 + 10*q**2. Find g, given that u(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-93*t - 98*t + 134*t + 2*t + 0*t + 0*t + (2 - 1 + 1)*(2*t - 3*t + 3*t))*(-18 - 13 - 19 + (0 + 4 - 5)*(5 - 2 - 2) - 5 + 4 - 1).\nAnswer: 2703*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + 7*f + 9. Let s be 9\/((-4)\/(-8)*-3). Let o be w(s). Suppose o*r - 10 = 4*m - 2*m, r = 2*m - 2. Solve -4*p + r + 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of -4*l**6\/15 - 6*l**2 + 6*l - 8. Let k(b) be the first derivative of f(b). What is the derivative of k(t) wrt t?\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 12 = 4*z, 4*q + 62 = -2*z + 68 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -729173, -1, -486 in decreasing order.\nAnswer: -1, -486, -729173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 56\/(-21)*(-54)\/8. Let b be ((-2)\/(-4))\/(3\/n). Let 3 - 6*z**2 - b - 14*z - 4 = 0. What is z?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 468 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 257875173085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 12841, -21543, 0.\nAnswer: -21543, 0, 12841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b + 1. Let z be o(3). Suppose -22 = -v + 2*j, -v = -5*j + 2*j - 23. Suppose 3*s - d = 10, -3*d + 5*d = -2*s + v. Sort z, s, -2.\nAnswer: -2, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**1\/m**37)\/(m*(m\/m**(5\/9)*m)\/m*m**26))**(-41) assuming m is positive.\nAnswer: m**(23411\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 66815*y**3 + y**2 + 894737*y wrt y?\nAnswer: 400890*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide 5080592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -29*k**3 - 4*k**2 - 3*k. Suppose -v + 36 - 37 = 0. Let a be l(v). Solve -6*r - a = -2*r + 4*q, -3*q - 11 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -137 + 135 + 150*p**2 + 201*p**2 - 87*p**2.\nAnswer: 264*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -28*s + 8. Let q(m) = 1. Determine 8*q(d) - y(d).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = -3, 4*n = -2*z - n + 15. Suppose d - 219 = -3*j, -z*j = -j + 16. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y - y - 6 + 6. Determine j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 15 = 4*a, -21 + 42 = -2*z + 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l + 2*l - 2. Suppose -k = l*k. Suppose k = -2*q + 2*i + 6, -6*q + 3*q - i + 9 = 0. Solve -q*j = -a - 1 - 10, -40 = -4*j - 5*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -450, -446, -442?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -706 + -407. Is t\/(-12)*(4 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -0.2, 21\/517, 1\/4, 4 in decreasing order.\nAnswer: 4, 1\/2, 1\/4, 21\/517, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence smms when four letters picked without replacement from dsmmdwsss?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 538 = 152*k - 1134 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 + 22. Suppose 2*p - 400 = -4*o, -p = -o + 2*p + 93. What is the greatest common factor of o and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14\/(-91) + (-20 - -26) + (-1830)\/273.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence da when two letters picked without replacement from {s: 1, a: 1, i: 1, v: 1, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**2 + 3245*u - 372521. What is g(111)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -59, -160, -325, -554, -847, -1204, -1625?\n\"Answer: -32*s**2 - 5*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 6122.855 centuries?\nAnswer: 61228.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**4 - r**3 + r**2 + r - 1. Let m(p) = p + 2*p + 19*p**3 - 12 + 5*p - 43*p**3 - 16*p**4. Let c(i) = -12*k(i) + m(i). Factor c(w).\nAnswer: -4*w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*o + o + 4*o)*(0*o + 2*o - 3*o) - 97*o - 17 + 98*o + 19 - 9*o**2 - 4 - 16*o**2 + 4 in the form p*o**2 + l + s*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 + 8*t**2 + 65*t + 517. Let v be g(-8). What is the third smallest value in v, -0.1, -140?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 8:34 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k**(-2)*k*k*k)\/(k\/(k\/(k\/(k\/k**8)*k)*k)))\/(((k**11\/k)\/k)\/(k*k*k\/(k**10\/k*k)*k)) assuming k is positive.\nAnswer: k**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((16\/3)\/8)\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 81618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/914397 and 62\/249381.\nAnswer: 2743191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18009 and 224061975?\nAnswer: 6003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the second derivative of 11*v**4\/6 - v**3\/2 - 3*v**2 - 12*v. What is the units digit of h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from juumvvx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = 3\/3466355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.3 - 0.1. Let p = -78094 - -78093.8. What is the nearest to -1\/2 in t, 2\/11, 8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + o = 5*o + 14, 0 = p + 5*o + 27. Let w be p\/8 - 261\/12. Let k = -65\/3 - w. What is the third smallest value in k, 0.1, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 11*b**2 - 17*b + 13. Let y(f) = -4*f**2 + 6*f - 4. Let z(m) = -3*o(m) - 8*y(m). Let n be z(-7). Let t be (-2)\/(-9) + n\/63. Is -7\/4 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*g + 5*g + 3*g**5 + (-7*g**3 - 3*g**4 + 7*g**3)*(-g + g + 2*g) + 5*g**5 + g**5 - 4*g**5.\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*u = 637 + 1862. What is the remainder when 149 is divided by u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 174 - 46. Suppose -152 = 2*t + g. Let w = t - -219. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/5 - 89544*p - 5011329960.\nAnswer: -2*(p + 111930)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d**4\/5 + 153*d**3\/5 - 3092*d**2\/5 - 612*d\/5 + 12384\/5 = 0. Calculate d.\nAnswer: -2, 2, 24, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -1. Let n(h) = -21*h - 29. Let f be 12*(-5)\/10 - 39. Let u(x) = -235*x - 320. Let k(i) = f*n(i) + 4*u(i). What is 25*g(b) + k(b)?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-3 - (-8 + 107 - (11 + -25))) + 20\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*r**3 + 3*r**3 - 5*r**3 + 2*r**3 - 30*r**3.\nAnswer: -47*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 3 - 7 = 0. Suppose -3*g = -2*g + x - 6, 26 = 3*g + 5*x. Is a less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 2*q**5 - 256*q**4 - 21466*q**3 - 479968*q**2 - 3196072*q + 3697760 = 0.\nAnswer: -22, -20, 1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3.3786 + 5.3786. Let g = 6 - 5.7. What is the closest to 0.1 in g, 0.03, q?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 + 4*i**2 - 2*i - 1. Let g be 168\/(-36) + (-2)\/6. Calculate f(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - 42fe4b?\nAnswer: -42fe4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22315 + -2?\nAnswer: 22313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 2*k - 5. Let q be o(2). What is the units digit of (0 - q)\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = h - 5. Suppose -2*x = -7 - 1. Is (-2548)\/h - x\/(-18) 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 {o: 4, c: 1, j: 8, u: 4, l: 2, r: 1}. What is prob of picking 2 o?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -2\/15 (c) -46\/7 (d) -164 (e) 65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 3309185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 82 - 84. Let z = -12796\/11 + 74012\/55. Let s = z + -183. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3278*z + 1646*z + 1634*z + 860)*(-3 - 2 + 8).\nAnswer: 6*z + 2580","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 68733109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001110101100111001 - -101?\nAnswer: -1001110101100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m - 5 = -25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/74 and 2 + (-7)\/3 - (-916)\/120?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21660160.\nAnswer: 2, 5, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8 (b) -0.05 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 28*k + 555*k + 0 - 263*k + 1 as h + t*k and give t.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 12 = d. Let v(w) = -2*w**2 + 2*w - 5*w + 4 + 4*w**2 - 3*w**2. Let p be v(d). Solve -p*g = -g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i + 3*y - 57, -i - 4 = 2*y - 21. Suppose -5*q = 3*u - i, u - 2*q + q = 3. Suppose 5*p + 4 + 1 = -r, -u*r = 0. Is p equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.01 - 5.99. Let w = 6 + r. Let d = -0.1 - -1.1. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-13)\/(-3) - 52\/(-78). Solve 0 = 4*o + 6*b - b - 7, -o - z*b = 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c**4 - 69964*c**3 + 840528*c**2 + 6719104*c - 35846144 = 0.\nAnswer: -17503, -8, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-3 + 18\/4)\/(1\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35063 = -3*z + 2*i, 0*i + 11673 = -z - 3*i. Is 4\/(-6) + z\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract -5 from -11116364488191.\nAnswer: -11116364488186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 4*i**2 + 3172*i. Let h(b) = -5*b. Calculate h(d(r)).\nAnswer: -20*r**2 - 15860*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 17 + -15. Let f be (-12)\/(-112) - k\/(-14). Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 212 = -3*g + h, 3*g - 634 = h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 112620 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the first derivative of -13 - 2\/15*t**3 - 6\/5*t**2 - 18\/5*t. Find r, given that f(r) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/3, 34, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/368150 and -53\/368150?\nAnswer: 368150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yqawnnaywyyq. Give prob of picking 1 a and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1120 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/40)\/((-1)\/(5\/2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*n**4 - 131*n**3 - 35518*n**2 - 64833651*n?\nAnswer: -24*n**2 - 786*n - 71036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = s + 3*a - 5, -3*a + 3 = 3*s. Suppose -2*t = s*t + 4*h + 55, 8 = t - 3*h. What is the units digit of 5\/(-35) + (-92)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*d - 71 = 77*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1891\/2 or -945?\nAnswer: -945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 3. Let s(a) = 15 + a - 8 - 13. Calculate s(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 - 10 = -2*m + 8, m = -2*k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 218 + 10c5?\nAnswer: 12dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 813*v - 1509 = 708*v + 2166 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1621029412?\nAnswer: 2, 405257353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -70667367 rounded to the nearest 100000?\nAnswer: -70700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (420\/(-36) + 13)\/(3\/9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*f - 6*f - 10*f**2)*(3*f**2 - 4*f**2 - f**2) + 0*f**3 + 0*f**3 + f**4 - 3*f**4 + 0*f**4 + f**4.\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -43b + 4034?\nAnswer: 37b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-1)\/t)\/(t**(-1\/4)*t)*t**(-2\/9)\/t**3)**(2\/151) assuming t is positive.\nAnswer: t**(-179\/2718)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 228322.\nAnswer: 2, 114161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6208.698ml in litres?\nAnswer: 6.208698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 - 210120110?\nAnswer: -210120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*i + 677 = 1807*s - 1802*s, -3*i = -s + 34 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6188)\/156)\/(-119)*(-3 + -1*141).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 4*d + 201 = 3*b, -236 = -4*b - 4*d. Let w = 63 - b. Let g = 199\/399 + -4\/57. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2059334 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 161.0313 - -33844.\nAnswer: 34005.0313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 2, q: 1, t: 1, s: 1, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 320\/(-6)*(-7)\/(-256*1\/(-12) - 26).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 9*v - 28. Let u(l) = -2*l + 19. Let h be u(v). Solve 2*b = o - 6*o - 9, -2*o - h*b = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6, 20, 60, 138, 266?\n\"Answer: 2*y**3 + y**2 - 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2.1587663 rounded to four decimal places?\nAnswer: -2.1588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1217446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/9 in 3, 5, -5\/149, -1\/2?\nAnswer: -5\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a = -4*l - 24, -2*l + 4*a = -0*l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1044 - -2048. Suppose -1 = d + 1, 3*d - g = -5*t. Let o = t + -48. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11? (a) 4 (b) -386 (c) -1\/3 (d) -0.4 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*a = 14 - 48. Suppose a*w - o - 1105 = 0, o - 3048 = -4*w - 853. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 - 4. What is the nearest to 0 in -0.5, c, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4409\/825 + -3\/275. Let w = 4 - m. Let r = -2\/3 - w. What is the smallest value in 4, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22444, -44869, -67294?\nAnswer: -89719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 18\/12*40\/45\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**5 + 0*k**5 + 4*k**5 + (5*k**3 - 2*k**3 - 4*k**3)*(3*k - 19*k**2 + 10*k**2 + 7*k**2).\nAnswer: 5*k**5 - 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((2\/(-66))\/((-33)\/(-198)))\/((-18)\/99). Which is bigger: v or 52\/51?\nAnswer: 52\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 6 - 1 = 0. Let c(q) = -1. Let y = 986 - 982. Let s(i) = 2*i. What is n*s(k) + y*c(k)?\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -380*a**2 + 3*a**6 + 386*a**2 + 0*a**3 + 0*a**3 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**2 - 6*f - 6. Let z be i(-5). Which is smaller: z or -1\/16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3 - 8)*-1 + -3. Suppose -4*l - 58 = v, 0*v = -3*l + n*v - 49. Let h be -2 - 4*l\/6. Solve 3*o + 12 = -5*r, 0*o = -2*o - h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -i, s - 5*i = -i + 22. Let d = -10 - s. Calculate the common denominator of 83\/4 and 1\/d*(2 + -55).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -4*q - 2. Suppose -q*f + 6 = -18. What is the highest common divisor of f and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -2*d**2 - 48*d - 266. Determine q(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/385 and -51\/2870.\nAnswer: 31570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6482434 - -6482483.99943. Let k = r - 50. What is k rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n - 2*n + 8. Let h(u) = -2*u**2 - 3 + 2*u**n + 6*u - 2*u - 3*u**2. Let d be (2\/(-16)*4)\/(1\/(-6)). Give h(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k - 3*k - 3*k)*(9 + 10 - 3)*(-277*k**3 + 102*k**3 + 128*k**3).\nAnswer: 2256*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 66 - 62. What is the units digit of (-336)\/(-64) - 1\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 22.8 - 23. Let f = 2 + -1. Let h = -1 - f. Which is the second smallest value? (a) 2 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -208*w**3 - 3. Let f(d) = 210*d**3 + 2. Calculate 3*f(j) + 2*s(j).\nAnswer: 214*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 3*j**3 + 58*j**2 - 2*j + 17. Is x(-19) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 15104, 16530, 17956?\n\"Answer: 1426*f + 13678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 21799148 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2103 + -1983. Calculate the remainder when 2276 is divided by o.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2*2353\nAnswer: 470.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 50996, 8 in increasing order.\nAnswer: -1, 8, 50996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/6 (b) -3\/4 (c) -2\/13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttm when three letters picked without replacement from ttmttmmttttmtm.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2444268 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-63 - 99) + 174 - (-65 + (-2 + 0 - -2))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the third derivative of -11*s**4\/24 + s**2. Let x = 9 + -6. Let r(q) = x*q**2 - q**2 - q**2. What is r(j(h))?\nAnswer: 121*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - -11?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 27257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 0 - (3 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 45692 from 6370701.\nAnswer: 6325009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 995 + 151. Let d be (-6)\/(-1)*w\/(-6). Is (-2)\/(-8) + d\/8 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -23*f**2 + 49*f - 162. What is l(3)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62450940.\nAnswer: 2, 3, 5, 193, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*h**5 - h**4 + 351*h**3 - 37857*h**2 wrt h.\nAnswer: -240*h**2 - 24*h + 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, p: 7, n: 4, b: 2}. Give prob of sequence bbnp.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -43.8 * -0.107\nAnswer: 4.6866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 131101866 and 27?\nAnswer: 393305598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -182*l + 347*l + 1 + l**2 - 183*l. Let s be z(18). Solve -2*q + 5*r - s = 8, 0 = -5*q - 5*r - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 4*z + 22 = 5*z, 0 = m + 4*z. Suppose -15 = 3*d - m*d. Is 16 a factor of ((-48)\/d)\/(3\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -221*z**4 + 56*z - 197*z**4 - 1 - 11*z**3 + 2*z**3 - 110*z + z**2 + 55*z in the form o*z + i*z**2 + w + p*z**4 + d*z**3 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(1008) + 2)**2 - (sqrt(14)\/(sqrt(12)\/sqrt(6)))**2).\nAnswer: 48*sqrt(7) + 1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 19.193589 months to millennia.\nAnswer: 0.00159946575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = 5*c - 49, 2*a - 12 = -4*c + 14. Let x(g) = -g + 17. Calculate the remainder when a is divided by x(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 4, 1\/51, -25?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 22\/88) + ((-105)\/(-4) - 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 173\/2 - 88. Let f = 1 - 0.6. What is the nearest to -0.1 in c, f, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**3 - 354*h**2 + 346564*h + 27179016.\nAnswer: -(h - 482)*(h + 74)*(h + 762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -2*n**5 - 319*n**4 - 9116*n**3 + 24158*n**2 - 19682*n + 4961 = 0.\nAnswer: -121, -41, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Factor -25*m**4\/2 + 220*m**3 - 1260*m**2 + 2160*m + 1080.\nAnswer: -5*(m - 6)**3*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -566041.7 take away 579?\nAnswer: -566620.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20200518.\nAnswer: 2, 3, 13, 173, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 131*x - 178092 = 516312 + 328313. What is the remainder when x is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3222 is divided by 936?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*t - 149 = 25*t. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of -1819*n**7\/210 - 947*n**3\/3 + 2129*n**2. What is the derivative of w(y) wrt y?\nAnswer: -7276*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1073559 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (18\/(1836\/9061))\/((-2)\/48*-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the third derivative of f**5\/60 - f**4\/24 + 7*f**3\/3 + f**2. Let x be 3*-2*5\/(-10)*1. Let o be (-2 - -2)\/(-7 + x). Determine v(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 15958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 24614 by 4.\nAnswer: 12307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4022914069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 5025 (base 6) to base 4\nAnswer: 101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**3 - 42*t**2 - 173*t - 464. Let w = -168 + 280. What is the remainder when w is divided by v(46)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 252.09798 seconds to minutes.\nAnswer: 4.201633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the second derivative of -d**6\/2 - d**5\/2 + 35*d**4\/12 - 5*d**3\/3 + d. Factor q(i).\nAnswer: -5*i*(i - 1)*(i + 2)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5550 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2, 1\/5, 1\/4, -58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-15 + 20 - 1) + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the third derivative of 1\/60*d**5 + 0*d + 0 + d**3 + 7\/24*d**4 + 4*d**2. Calculate p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 200, 921, 2144, 3875, 6120?\n\"Answer: m**3 + 245*m**2 - 21*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -60, -134, -236, -366?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 12*q**2 + 10*q + 16. Let g be t(11). What is the first derivative of 10 + 13*s**3 + g + 2 wrt s?\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the third derivative of -k**7\/840 + 9*k**6\/160 + k**5\/80 - 83*k**4\/96 + 9*k**3\/4 + 3319*k**2. Factor m(x).\nAnswer: -(x - 27)*(x - 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2401 + 2401.5. Which is the nearest to 0? (a) j (b) -0.1 (c) -0.4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**2 - 37 - 36*i - 2*i**2 + 21*i. Let q be b(-12). Is 3\/58 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -109235, -109240, -109237, -109226?\n\"Answer: 4*w**2 - 17*w - 109222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-44)\/14)\/(6\/(-9)*999\/777).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3071600?\nAnswer: 2, 5, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**3\/4 - 462455*r**2\/2 + 53470549808*r - 2031547013912 = 0. What is r?\nAnswer: 38, 462436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -2*a - 322. Let t be (-2 - a\/9)\/(2\/243). Suppose t + 2438 = 4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 136*h*x**2 + h*x - 245707*h + 97762*x**2 - x - 4 wrt x.\nAnswer: 272*h*x + h + 195524*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, v: 4, u: 5, l: 8}. What is prob of picking 1 u, 1 p, and 2 l?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 202851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (10 - 3 - 0) + -2. Let k(d) = 22*d + 5. What are the prime factors of k(h)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(275) + 3) + -5 + -3 + sqrt(275) - (5*((-1 + sqrt(275))*-5 + sqrt(275)) + -3))**2.\nAnswer: -7200*sqrt(11) + 72425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*t**3 + 347148*t**2 + 5*t + 73542990 wrt t.\nAnswer: 30*t**2 + 694296*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -45 - (-18 + 85 - 53).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**3\/4 + 9175*x**2\/4 + 9155*x.\nAnswer: 5*x*(x + 4)*(x + 1831)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -131\/48 and -55\/302136?\nAnswer: 604272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7\/2? (a) -1\/112 (b) -20 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m. Let a(g) = -4*g. Let z = 59 - 6. Let y = -54 + z. What is y*a(t) + 3*n(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -26200 - -26202. Solve -t + 3 = n*s, -5*t - 13 = -3*s + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*g - 10*g - 2*n + 106 - 102 = 0, -3*g + 3*n + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -l**4\/4 - 169601*l**3\/4 + 14593257*l**2\/4 + 29695313*l\/4 + 3733114 = 0.\nAnswer: -169687, -1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 151\/1122520 and 31\/10640.\nAnswer: 2245040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is x in 116*x**3 + 4799824*x**2 + 13405428*x - 2979000 = 0?\nAnswer: -41375, -3, 6\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 12 = -7*f + 3*x, 4*f - 11 = x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(4 + 5 + -2*(((sqrt(175) - ((3 + sqrt(175) - sqrt(175)) + sqrt(175)))**2*-1 - sqrt(175)) + -4) + 0).\nAnswer: -35 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 + 12*q**2 + 86*q - 9. Let w be i(17). Solve 3*m - w*j + 10*j - 20 = 0, 2*m + 3*j = 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 2*b + 2 = 0. Let y = b + -6. Let p = 6 - 6. Sort y, p, -1 in increasing order.\nAnswer: y, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.28747 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 2*d + 20. Let z be w(-9). Let l be (-357)\/(z + 28\/(-8)). Let s = l + -158. Calculate the highest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -12 + 16 + -8 + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.428897 and 5.\nAnswer: 2.144485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 4*l. Let a(g) = -g**3 - g**2. Let t be a(-1). Suppose t*o - 5*o = l. Solve o = r + 4*u + 10, -3*u - 6 + 0 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*f - 18 = 7*f. What is the highest common divisor of f and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 11 = v, -5*v - 3*u = u + 56. Let q = 16 + v. Solve -c + 2*z + 2 = 7, -3*c + q*z = 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -18 + 18. Let i be (-120)\/(-24) + 18\/(-4). Let k = -187\/720 - -3\/80. Which is the second smallest value? (a) k (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 10886.875 to the nearest one hundred.\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l + 2 - 0. Let b be 9*(1 - l\/3). Suppose -i - 55 = -b*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -130\/9 - -1847\/126. Let p = -3\/14 - b. Let d = 0 + 2. What is the closest to -0.1 in d, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -580 divided by 145\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 38851 - 12548. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 217044193.\nAnswer: 97, 907, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -5*p**2 + 739*p + 178. Let b(o) = -23*o - 12. What is the remainder when b(-7) is divided by w(148)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 - -3)*(-22)\/6. Suppose 0 = -8*h + 9 + 255. Let v = h + p. Calculate the least common multiple of 16 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zsssrzsxzrwfxxs. Give prob of picking 1 z, 1 x, and 2 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 + 6*f + 9. Suppose 10 = -2*s - 2. Calculate the least common multiple of 7 and i(s).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5760, -0.2, -4, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/93960 and 131\/12180.\nAnswer: 657720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = -2*r + 188. Let q(a) = a**3 + 12*a**2 - a - 16. Let t be q(-12). Find the common denominator of (-2)\/t - r\/(-54) and 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -4 (b) -3 (c) -32 (d) 0 (e) 6057 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 26 = -3*b + 5, 4*k + 2*b = -22. Is (3 + -5)*261\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times -1415642\nAnswer: -566256.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-6*(1*sqrt(153)*1 - sqrt(153)*1*5)\/((sqrt(324) + 1*sqrt(324))*4 - sqrt(324) - sqrt(324)))**2.\nAnswer: -340\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 80, 161, 242, 323, 404, 485?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times -3256?\nAnswer: 325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 12513 (base 9) to base 15.\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 1507 - (-10 + 16 + -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4.6 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 479468 and 5492088?\nAnswer: 60412968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/43, 7, 1, -1\/3 in decreasing order.\nAnswer: 7, 1, -3\/43, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*a)*(0*a**2 + 2*a**2 - a**2) + 2*a**2 - 2*a**2 + a**3 + 2*a**3 - 5*a**2 + 5*a**2 + 14*a - 10*a**3 + 13*a - 25*a.\nAnswer: -9*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 5*m - 19 = 0, 5*b + 13*m = 9*m + 22. Let y(q) = 4*q**2 - q**2 - 2*q**2. Let v(f) = -6*f**2. What is b*v(s) + 14*y(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 77\/360 - 4\/45. Let a be ((-144)\/(-56))\/(1\/14) + -1. Let g be (5 + (-133)\/a)\/((-3)\/10). What is the smallest value in 0, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-20\/11))**(-4\/31) assuming m is positive.\nAnswer: m**(80\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24*o + 219 + 2*o**3 - 4*o**3 - 217 - o**4 + o**2 to j*o**3 + b + g*o + c*o**2 + x*o**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4.2 in -0.0819, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3\/131 + 107\/1048. Let r(v) be the second derivative of v**2 + 5*v - k*v**4 + 0 - 1\/40*v**5 + 0*v**3. Determine m so that r(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 2*p - 11 = 0, -2*f + 1 = -4*p + 3. Let l(a) be the second derivative of 1\/20*a**5 - 1\/2*a**3 + 0 + 5*a - 1\/3*a**4 - 5\/2*a**2. Calculate l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 53271252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 9*h**2 - 11*h + 2. Let z(b) be the third derivative of b**5\/12 - b**4\/4 + b**3\/6 + 657*b**2 - 3. Calculate 3*d(s) - 5*z(s).\nAnswer: 2*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 5*j**2 + 6*j - 6. Let b(z) = 8*z**2 + 11*z - 11. Let y(x) = -6*b(x) + 11*m(x). Let p(s) = 2*s. Determine y(p(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3576871169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 514015 is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -8*k - 6. Let p be o(-2). Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16544520359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/29? (a) -0.129 (b) 0.1 (c) 1\/9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 2 c, and 1 o when four letters picked without replacement from tomcowctcoqocoq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -67, -135, -203, -271?\n\"Answer: -68*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -6.795220048 to three decimal places.\nAnswer: -6.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*j**2*r**4 + 13*j**2*r*v - 2*j*r**4*v**2 + 27*j*v - r*v**2 wrt r?\nAnswer: 24*j**2*r**2 - 24*j*r**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) 12 (c) -15 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 213314.\nAnswer: 2, 106657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -41*z + 13. Let n(m) = 203*m - 68. Calculate -11*a(g) - 2*n(g).\nAnswer: 45*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 14 - 17 = -2*b, -5*t - 90 = -5*b. Calculate the remainder when 30 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -111 - ((34 - 10) + -30 - 22).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-22)\/(-12) + 28*28\/588. Let o(m) be the first derivative of -y*m**3 + 15\/2*m**2 + 22 - 25\/8*m**4 - 5\/12*m**6 - 4*m + 27\/10*m**5. Solve o(l) = 0.\nAnswer: -1, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-372)\/(-30) + -11)*((-128)\/(-7560) - (-14)\/(-189)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 2*g**3 + 4*g**2 - 2*g - 1. Let f(b) = -b + 13. Let o be f(10). Is q(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1948.4434 rounded to the nearest ten?\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (1 - 3)*(-3 - -6) - 15476\/(-2555)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 813*b - 7308. Calculate l(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3495003552?\nAnswer: 2, 3, 1348381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-34)\/119 + 420786\/7?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 3*u**3 + 49*u**2 + 95*u - 824. Give o(-13).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 34606 and 116444471?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7331 + -6802. What is the smallest common multiple of x and 9?\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*f - 86*f + 929 + 1045 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -5*t + 2. Suppose -52 + 94 = -6*d. What is c(d)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 69 + -757\/11. Let k(h) = h**2 + 4*h - 5. Let v be k(-4). Sort v, 5, y in decreasing order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*(-4)\/(-56))\/((-1)\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1653 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 6 (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 22.289 take away 303.5?\nAnswer: -281.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (2*q + 0*q + 2*q + (0*q + 0*q + 2*q)*(1 - 1 + 2) + 191*q - 98*q - 86*q)*(-4 + 3 + 4) as s + z*q and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/2168 and -65\/71544.\nAnswer: 71544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/4 - 5\/6*3. Sort k, 5, 40 in decreasing order.\nAnswer: 40, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.01 + -3.01. Let y = 2.03 + -0.03. Let r = -5 - -3. Which is the nearest to y? (a) 0.1 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*15*6\/108*6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 2007.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sum 2748 and -840.15505109.\nAnswer: 1907.84494891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 2*v)*(-4*v**2 - v**2 + 4*v**2) + 1 - v**3 - 1 + 3 - 3 - 4*v**3 + 0*v**3 - 3*v**3 + v**3 to the form u*v + l*v**2 + x + q*v**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**3)**17\/(m**9*m**(3\/11)) assuming m is positive.\nAnswer: m**(459\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -79401.64 rounded to the nearest 10?\nAnswer: -79400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4.7 (b) 1 (c) -2\/5349 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -5*c + 207, 5*c - 2*h - 2*h - 199 = 0. Let d(v) = -69*v - 3. Let p be d(-2). Suppose c = -4*a + p. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f - 3*u + 34042, -34030 = 67*f - 71*f + 3*u. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -2*p**2 + 77*p + 296. Let a be l(42). Solve 8 = -2*c + a*x, -3*x = 4*c - 2*x + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (20 + -24 - (-1 - 3)) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 31\/3, -2, -0.1, 25, -5?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 304*q - 5805. Calculate k(19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -217*c - 15510 = -547*c for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the third derivative of b**5\/60 - 2*b**3\/3 - b**2. Suppose 6 = g + 3. Suppose 0 = -4*p + w + 19, 4*p - p - 21 = g*w. Calculate l(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16040 is divided by 117?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 26019*b*h*q - 22*b*h - 4*b*q + 2*b + 22*h*q - 2672*h - 3*q + 1 wrt b?\nAnswer: 26019*h*q - 22*h - 4*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from khkdh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(160) - (sqrt(160) - (sqrt(160)*1*-6 + sqrt(160))))\/(sqrt(1440)\/sqrt(10)))\/((sqrt(80)\/(sqrt(20)\/sqrt(4)))\/(-1*sqrt(18))).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11560 and 1360?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + 4*v**2 - 4*v + 2. Let h be t(2). Let r be ((-4)\/(-5))\/(h\/5). Differentiate 1 - 1 + g**r - 1 with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47 - 4*t**2 + 207*t**2 - 47 + 226*t**2.\nAnswer: 429*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 324658229 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**3 - i**2 + 75. Let v be l(0). Suppose -15 = -6*r + 5*r. What is the greatest common divisor of r and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 299 = 705. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -95444910 take away -0.2?\nAnswer: -95444909.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 23084 (base 15) in base 5?\nAnswer: 12031444","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 6:46 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2\/1379167 + 62059801\/1871529619. What is the common denominator of 46\/9 and l?\nAnswer: 12213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 3\/238?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 773916 and 984?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*w + 126 = 116*w. Calculate the remainder when 22 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10533337.\nAnswer: 10533337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.9297318 millilitres?\nAnswer: 0.0009297318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-56390)\/(-55) - (-2)\/(-2). Let w = 1025 - a. Factor -10\/11*l**2 + 16\/11*l + w.\nAnswer: -2*(l - 2)*(5*l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*b - 12*b + 0*b - 5406 = 0. Which is bigger: 900 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 92288741 divided by 7.\nAnswer: 92288741\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 779077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 990 and 14580.\nAnswer: 160380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 3, -1528785 in descending order.\nAnswer: 3, -12, -1528785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 145323.\nAnswer: 3, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -0.1 (c) 1 (d) 12 (e) 2\/3 (f) -921 (g) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 230 and 272?\nAnswer: 31280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 9:44 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - b - 118799998, -3*s + 2*b - 7755133 = -126555129. Suppose -s = -18*k + 6*k. Round k to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -667*x**2 + 0*x**3 - 8*x**3 - 28*x**3 + 643*x**2 wrt x.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 11*o - 6*o - 10*o - 12*o + 5*o**2. Let x(b) = 2*b**2. Determine x(t(r)).\nAnswer: 50*r**4 - 340*r**3 + 578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*j - 2, -j = 4*u + 10 - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1202 (base 3) to base 14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -2*u**2 - 3*u - 13. Let w be r(0). What is the lowest common multiple of w + 14 + 435\/3 and 22?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)\/sqrt(64) + -6*(-1 + sqrt(3)))**2 + 5.\nAnswer: -69*sqrt(3) + 2243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, 1, -5272, -50, -4, 5 in ascending order.\nAnswer: -5272, -50, -11, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/18 and -83\/7530?\nAnswer: 22590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -79*g + 542 + 132 = -416*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12522213 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let y = 0.05 + 1.15. Let i = 13.4 - 13.2. Which is bigger: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b + 9*b + 4*s - 840, 4*b - 646 = 2*s. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -4*g - 104. Let l be j(-25). Does l = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -66 divided by -43\nAnswer: 66\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 5*a = -1851870, 4*a = -u + 3*a + 370384. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 343195*x**5 - 28551*x**2 wrt x.\nAnswer: 20591700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -154a (base 12) in base 2?\nAnswer: -100111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 117 divide 39120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 128285577 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 647, 5, -5, -4.\nAnswer: -5, -4, 5, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -4877125 by -443375.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are 195282 and 195459 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/4*504\/(-108).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4\/17, -3, 35\/213?\nAnswer: 35\/213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 + -3. Let u be (4\/v)\/(24\/756). Suppose -2*r + u = -29. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8854857?\nAnswer: 3, 11, 89443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times 2.720856?\nAnswer: 1.360428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -2385 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 3 (b) -2 (c) -4 (d) 16\/5 (e) 40\/9 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -11 divided by -33300?\nAnswer: 11\/33300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/(-5 + 37\/((-2553)\/(-240))) + 2\/10. Factor 78\/7*x + s*x**3 - 40\/7*x**2 - 36\/7.\nAnswer: 2*(x - 3)**2*(3*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 680*0.2.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 + -7. Suppose 3*d = -d + 20. Let s = d - c. Let u(m) = m**2 + m - 1. Determine u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 + -9. Let o be ((-14)\/(-35))\/(2\/x). Is o equal to 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 AM and 5:58 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2835731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*r + 8*r - 2*r)*(4*r**2 - 5*r**2 - 3*r**2)*(11*r**2 + 37 - 37).\nAnswer: -440*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -6*g**2. Let t be d(-1). Let b = 8 + t. Factor 9*s - s - 2*s**b + 0*s**2 - 8.\nAnswer: -2*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**2 - 5*d - 5. Suppose -r = -5*r - 20. Let q be i(r). Let s(u) = 0*u**2 + 4*u + 3*u + 2 + u**2. Calculate s(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10.14 - 10. Let c = -39 + 39.52. Let m = s + c. What is m rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -3 + 9 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -n**4 - 13156*n**3 + 400120*n wrt n?\nAnswer: -12*n**2 - 78936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 24 + -96. Let s = 108 + o. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 10*a + 440. Let i be o(-44). Is i equal to -0.503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -789269 + 27729 = -116*x. Is x a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*a**5 - 37488*a**4 - 87908948*a**3 - 347625784*a**2 + 8004468864*a + 43002117760 = 0. Calculate a.\nAnswer: -4684, -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -5 - -1) + -4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -6\/3853, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 25362005 (base 7) to base 4.\nAnswer: 20301232301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 2*l + 110, 2*l = -5*g + 5*l + 105. Let b = 72 - 70. Suppose -b*q = q - g. What is the least common multiple of 1 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m**2 - 2*m**2 - m**2)*(0*m + m + 0*m)*(3 + 2 - 2).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.35 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(-2\/5)*k**(-1\/21))\/(k**(-12)*k)**(8\/5) assuming k is positive.\nAnswer: k**(398\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 600 - 7*t + 116 + 7*t + t.\nAnswer: t + 716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g**3 - 2*g**3 + 296*g**2 - 4 - g**3.\nAnswer: -2*g**3 + 296*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -122 by 26.\nAnswer: -61\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*w = -29*w + 25. Suppose -1503 = -4*y - w*y. Calculate the remainder when y is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -160 + 88. Suppose -4*m - 2*t + 28 = 3*t, t = 3*m - 2. Let s be m\/(-11) - k\/33. Solve -18 = 2*j - 5*l, s*l + l = 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 4*g - 3. Let h be w(2). Suppose -2*l - 9 = 3. Let f be (l\/4 - -2)*10. Solve 2*j = 3*o + 4, -f*o - h*j = -10*j + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -22*a*g*l**3*u - 94*a*g*l**3 + 399*a*u - 2*l**3 wrt g?\nAnswer: -22*a*l**3*u - 94*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2290486 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 481375*a - 240691*a - 240653*a - 1.\nAnswer: 31*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 5991551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -45847 and -0.1.\nAnswer: 4584.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - 1)*9\/18. Which is the nearest to n? (a) 6\/11 (b) -0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*l**5 - 57*l**4 - 157*l wrt l?\nAnswer: -40*l**3 - 684*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x**2 + 3*x + 1. Let k be b(-2). Let r be (1 + 1)\/((-4)\/4). Sort r, k, 0 in descending order.\nAnswer: k, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (z + 5*z - 4*z)*(-2*z**3 - z + z) - 4*z**4 - 6*z**4 + 0*z**4.\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -116*x**2\/9 - 178*x\/9 - 62\/9.\nAnswer: -2*(x + 1)*(58*x + 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4292023 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -777 divided by 3?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -22480 divided by 2810?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, -1838, 0.23?\nAnswer: -1838","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1300 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 33*i - 1. Determine s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(2) + 0) + 4 + sqrt(18)\/(sqrt(324)*3).\nAnswer: -17*sqrt(2)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:12 PM and 10:09 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 75\/(-80)*(-28)\/(-21)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 + 4*d)*(0 + 2 - 5)*(1 + 2 + 0) to l*d + f and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5006337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 21, -139, 0, -2, -1 in descending order.\nAnswer: 21, 0, -1, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 102166 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7d59d + -1?\nAnswer: -7d59e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 14 = -8. Let t be (-8)\/(-48) - (37\/p - 2). What is the second smallest value in 1\/3, t, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2199 divided by -40764?\nAnswer: 733\/13588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2 - 7*b. Give h(5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22158 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -t**5\/9 + 73*t**4\/9 - 167*t**3\/3 - 1225*t**2\/9 - 650*t\/9 = 0.\nAnswer: -1, 0, 10, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 838*v**3 - 6*v**2 - v - 8. Let m(d) = 279*d**3 - 2*d**2 - 2. Let g(i) = -7*m(i) + 2*u(i). List the prime factors of g(-1).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 278.9 + -279. What is the nearest to 1 in x, 2, -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 3)*(-8 + 2 + 0)*(2*s + s - 5*s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 25 and 13755?\nAnswer: 68775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*a = 4*a + 2*t - 24, 0 = 3*a - t + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-3)*(-270)\/(-180)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - d. Let x = -3 + 6. Suppose -2*r = -x*j - 15, 3*r + 3*j + d*j = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 271 = -2*y + 3119. List the prime factors of y.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1438 - -1453. What is the highest common factor of q and 2640?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -34 (b) -0.01 (c) 141481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (14 + 2)\/2 + -3. Suppose n*b + 1 = 6. Let r = b - -1. Solve -w = r*v - 21 + 7, 4*v = 5*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3739\/2324 + -510\/83. Let z = -30\/7 - s. Which is the closest to 0? (a) z (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*a**3*i**4 - 16711*a**3 - 11616*a*i**4 with respect to i.\nAnswer: -28*a**3*i**3 - 46464*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 401*u**2 + 923*u**2 - 107*u**2 + (-6 + 3 + 2)*(-2*u**2 + 0*u + 0*u) + u + 0 - u**2 - 2 - 4*u**2 in the form s + l*u + k*u**2 and give k.\nAnswer: 1214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**2 + 1. Let b(n) = -348*n**2 - 8*n + 20. Let x(j) = -b(j) + 3*y(j). Let w be x(9). Round w to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 294851 is divided by 9828?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -22.806 + 0.506. Let g = l + 22. What is the nearest to -0.3 in -2\/7, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1*30\/21*84\/(-48)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.4 - 2. Let g = 1 - b. Let a = 137\/5 - 27. Sort -1\/5, g, a in decreasing order.\nAnswer: a, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i**(-2))**(4\/13)*i**(-30)\/((i\/(i\/i**(-21)))\/i))**(-40) assuming i is positive.\nAnswer: i**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - l - 1)*(-5*l**4 + 2*l**4 + 0*l**4) + 0*l**5 + 4*l**5 - 3*l**5.\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 38\/315 and -64\/2135?\nAnswer: 19215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, -6, -9 in increasing order.\nAnswer: -9, -6, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 6) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 117 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**2 - 538*y - 2103. Let w be r(-4). What is the third biggest value in -0.1, 1, w, 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x = 4*x - 4*h + 280, 0 = -5*x - 3*h - 350. Let v = x + 80. Calculate the smallest common multiple of v and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -22*h - 3*m - 24, -271*h + 3 = -266*h - 2*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4351 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 9:04 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.102 + 4.782. Let c = 4.7186 - g. Round c to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 18454338 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b - 2. Let d be (-3*(-2)\/(-6))\/(2\/6). What is g(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -75063939, -75063941, -75063943?\n\"Answer: -2*q - 75063937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 176 and 4797804?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y, -3*s + 4*y = y - 2043. What are the prime factors of s?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 4 + 2*v - v + v**2 + 5*v - 3*v - 8. Let l(m) = 4*m**2 + 10*m - 13. What is 2*l(c) - 7*s(c)?\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -4*p**2\/3 - 9028*p\/3 = 0.\nAnswer: -2257, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 PM and 1:04 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 544121.1 hours?\nAnswer: 1958835960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -5343552 (base 6) to base 12.\nAnswer: -107bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + -7. Let h = -158 + 1108\/7. Let z = -0.43 + -0.07. Which is the third smallest value? (a) h (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.916726 centuries in years?\nAnswer: 91.6726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/6 + 653052*f - 3918310\/3.\nAnswer: -(f - 3918310)*(f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-132)\/(-2 - -6) - -3. Let w = -25 - k. Let d = 0 + 0.2. What is the third biggest value in 4, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*802.\nAnswer: 240.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -118, 68.805, -0.3, -3\/8, 3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1589*n = -123172 + 819 for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 17*w**2 + 3*w. Let i be h(-2). Let k(v) = 17*v + 7. Let p be k(-3). Let a = p + i. What is the greatest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-25))**(1\/7)*(c\/c**29)**(-32))**(4\/15) assuming c is positive.\nAnswer: c**(24988\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - -5. Let s(v) = 3*v + 6. Let w be s(y). Suppose -5*u + 91 = -w. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -331*h**2. Let c(t) = 3*t. Calculate b(c(m)).\nAnswer: -2979*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6*(-1)\/(-2) + (-3212)\/(-11). Suppose -4*q = -9*q + 2*c + 340, 4*q + 3*c = t. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 928 and 660 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2 and 386.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 + -3*4\/(-6). Let x(f) = -f**2 + 9*f - 7. Let j = -26 - -33. Calculate the remainder when x(y) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5040)*1 + sqrt(5040) - sqrt(5040))*-2)\/((sqrt(7) - sqrt(63)\/sqrt(81)) + -3*(sqrt(7) - sqrt(14)\/sqrt(2))).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 66744804 and 3860?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 345 = k, 356 + 701 = 3*k - 5*z. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -792, -788, -784, -780, -776, -772?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 6:47 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k + 3*y - 3, -k - 1 = -0*y - y. Let c(g) = g**2 + 7*g + 2. Let w be c(-7). Let i = k + w. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -f**3\/2 + 682*f**2 - 459661*f\/2 - 462393 = 0. What is f?\nAnswer: -2, 619, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -23*l + 21*l + 6. What is the second derivative of -39*w**l + 0*w - 13*w + 14*w**3 wrt w?\nAnswer: -150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + 156\/21 + 62\/(-14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 641976?\nAnswer: 2, 3, 23, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -728106340235+5\nAnswer: -728106340230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert b194 (base 15) to base 13.\nAnswer: 140aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*j**2\/5 + 424662*j\/5 + 78340944\/5.\nAnswer: -6*(j - 70961)*(j + 184)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be -12*(1 - 0 - (4 + -1)). Let v = 185 + -89. What is the greatest common divisor of y and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -123*i**3 - 3*i**2 - 3. Let m(n) = -n**2 - 1. What is -l(z) + 3*m(z)?\nAnswer: 123*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the second derivative of -22*s**3\/3 + s**2\/2 - 225*s. Give o(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (12*(-8)\/(-432))\/(2\/342). Suppose -4*b - 5 = -3*b. Sort 5, b, 0, d.\nAnswer: b, 0, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-36)*-2)\/((-23)\/6)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -28\/1978857 and -2\/5496825.\nAnswer: 49471425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3367871585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**5 - 909*i**4 + 565*i**3 + 8246186*i**2 wrt i?\nAnswer: 60*i**2 - 21816*i + 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -6 + (-1 - (0 + 4 + 6 + -11))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 398772 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (10\/15)\/(1\/12). Suppose 0 = 2*n - a. Solve n*f + 12 + 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aoigrooaogaiagarorg. Give prob of sequence raii.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be 10\/(-4)*(-2)\/5*4. Let n(a) be the second derivative of a - 1\/18*a**k + 0*a**2 + 0 + 2\/9*a**3. Factor n(v).\nAnswer: -2*v*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j*j**1*j)\/j**3)\/((j\/(j**(-1\/7)*j*j))\/(j*j*j**(2\/25)\/j)))**(-3\/8))**(-1\/38) assuming j is positive.\nAnswer: j**(1017\/53200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -10*u**3 - 3*u**2 - 2*u - 2. Let k(t) = -t**2 - 14*t + 94. Let y be k(-19). Calculate the remainder when v(y) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 153 + -127. Calculate the highest common factor of 39 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p + 8. Let y(h) = 7. Let j(g) = -15. Let d(a) = 4*j(a) + 9*y(a). Let c(q) = 8*d(q) - 3*f(q). What is c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1376758087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -905 - -912. Let i(k) = 6*k - 3 - g - 8 + 14 - 8*k**2 - 3. Let m(h) = 2*h**2 - 2*h**2 + 5*h - 6 - 7*h**2. Give 6*i(c) - 7*m(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1230949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -6*a - 3*a**2 - 1 - 2 - 3. Let s(w) be the third derivative of -w**5\/10 - 11*w**4\/24 - 11*w**3\/6 + 8*w**2. Give -11*c(z) + 6*s(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/760 and -29\/190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 293067 to the power of 1\/2, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 94510650.8999937 - 94510731.9. Let n = -43 - -124. Let r = n + d. What is r rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 105798344*o**2 - 51645313*o wrt o.\nAnswer: 211596688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 812 divide 340468269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-36)\/(-20) + -1)*5. Let a(s) = -k*s**3 - s - 13*s**3 + 2*s + 0*s**3. Let i be a(-1). Solve -3*o - i = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -109 - -157. Let f = 52 - g. Solve 5*j = 3*j - 10, f*l - j - 17 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 522186635 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31 - 0 - -21 - -1*19.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - -627b31?\nAnswer: 627b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (12 + -1 + -1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -50 + 54. Suppose 0 = v - 7*v + 120. Calculate the greatest common factor of v and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1486084849.\nAnswer: 577, 2575537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 - -7. Let y be 18\/(-4) + (3 - 1). Let c = y - -37\/14. What is the nearest to 1\/4 in 2\/7, c, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 69, 74, 83, 96, 113?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(75) + 3 + -2*sqrt(3) + 1.\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -61, -14, -316 in descending order.\nAnswer: -14, -61, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 6*j + 8*j**2 + 3*j**3 - 4*j**3 - 7*j**2 as o*j**2 + l*j + k*j**3 + g and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 682 - 654. Suppose a*x - 4*x - 768 = 0. Solve j - 1 = r, -3*j = -0*r + 4*r + x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -212*n - 1. What is the tens digit of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 - 504*t + 6300. Determine y(13).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {v: 2, t: 2, e: 1, g: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 10*m + 38. Determine w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 2168, 3928, 5696, 7472?\n\"Answer: 4*z**2 + 1748*z + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111110101 - 11100?\nAnswer: -1000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.4 + -18.4. Let x = -14 - l. What is the smallest value in x, 5, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 316305 is divided by 10543.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 749, 752, 755, 758, 761, 764?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10651219\/100 - 106511. Find the common denominator of k and 51\/28.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-78)\/18)\/((-1)\/3). Suppose -6*a + 1 = -4*a - 5*s, -5*a + 2*s = -p. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 4*p, 3*j + 0 = -5*p + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be -40 + (-8 + -2)*-1. Let y be ((-4)\/q)\/(-10*(-8)\/(-48)). Let o = 0 + -0.5. Which is the biggest value? (a) 0.5 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -384 - 175. Let b = -559.9 - r. What is the closest to 1 in b, 0.3, -0.08, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.05 + -0.15. Let s = k - 0.2. What is the second biggest value in 0, 0.1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**3 - m**2 - m + 1. Let n(f) = -3*f**3 + 7*f**2 + 3*f - 7. Let c(v) = 4*i(v) + n(v). Suppose c(d) = 0. Calculate d.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**2 - 6*z - 4. Let v be i(6). Let g = v + 6. 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 the units digit of 37838884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1561)\/(-34342))\/((-1)\/(-902)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -4*u**2 + u + 2. Let x(d) = 1875*d**2 - 2118*d - 8. Let l(t) = -4*o(t) - x(t). Find the second derivative of l(b) wrt b.\nAnswer: -3718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -126 + 120. Which is the third biggest value? (a) 3\/2 (b) x (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1024840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 763\/4 or -0.48579?\nAnswer: -0.48579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2153 + 2153.07. Put 5, t, 3\/7 in increasing order.\nAnswer: t, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1239375920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 244823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 10) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -317 greater than -317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -75 - -74.1. Let q = 11.1 - d. Which is the closest to 1? (a) 5 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22241 divided by 6?\nAnswer: 22241\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 118672938 a multiple of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2718589 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(-9)\/p)\/(p\/p**(1\/9)))\/((((p\/(p*p\/(p*p*(p*p**2)\/p)*p))\/p)\/p)\/p)**(-1\/28))**(2\/17) assuming p is positive.\nAnswer: p**(-2501\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*b - 974217 = -979077 for b.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -171 - -177.018. Let j = h - 6. What is j rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(3456))\/((sqrt(192)\/sqrt(6))\/sqrt(4)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -344, -0.2, -1, 361 in increasing order.\nAnswer: -344, -1, -0.2, 5, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a = -19*a + 44. Let w be (a\/(-12))\/((-2)\/(2 + 130)). What is the highest common divisor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 - 12*x - 3. Let h be t(-12). Let p be h\/4*16\/(-12). Solve -o - 11 = -2*q, 3*o - p = -2*q - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.1 - -0.9. Let y(w) = -w**2 + 4*w + 3*w + 0*w**2 - 8 + 0*w. Let u be y(6). Which is the second biggest value? (a) 0 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1191680, -2383362, -3575044?\n\"Answer: -1191682*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 460783*h**5 - 1496141*h wrt h?\nAnswer: 9215660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 124510 divided by 5?\nAnswer: 24902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2.38, 0.4, -1\/3 in increasing order.\nAnswer: -4, -1\/3, 0.4, 2.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2663\/4848 - 4\/303. What is the common denominator of n and 73\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 + 4*c**2 - c + 1. Let l(x) = x**2 - 8*x + 9. Let o(h) = -3*h. Let n be o(-2). Let i be l(n). What are the prime factors of f(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 47.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 259996113?\nAnswer: 3, 13, 17, 67, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - 0)*-8 + -1. Suppose -3*y + 0*d = -d + 3, 2*y - d + 3 = 0. Sort p, 5, y in ascending order.\nAnswer: p, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56 - 22*s**2 - 56.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6245223 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 3*j - 19, -2*j - 4*m - 23 = -5*j. Suppose 0 + 75 = j*n. What is the derivative of -n + 3 - h**3 - 2 + 11*h**3 wrt h?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 2*z**2\/11 + 18776*z\/11 - 14295936\/11 = 0?\nAnswer: -10096, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/151440 and -113\/14?\nAnswer: 1060080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.82 + 2.02. Which is the nearest to -1? (a) -2\/7 (b) 2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53071*j - 8394 = 53231*j + 2646 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 6 = 3*s + 66, -3*u = -s - 6. Suppose -19*w + 112 = 36. Are w and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -243 + 243.2. Which is the third smallest value? (a) 2\/15 (b) n (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1072, 2150, 3230, 4312?\n\"Answer: v**2 + 1075*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 - 20*s - 56. Let z be h(22). What is the common denominator of 73\/z + ((-42)\/(-9))\/7 and 97\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 + 1. Let b be a\/(-10) - 18\/135. What is the closest to b in 3\/7, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 2*p**5\/7 - 244*p**4 - 244260*p**3\/7 - 479960*p**2\/7 + 34894*p + 481668\/7 = 0.\nAnswer: -123, -2, -1, 1, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7595465301 to the nearest integer?\nAnswer: 87152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**2\/v*v**(-2) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 342200 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - -1. What is the remainder when 2\/(-6) - 70\/(-3) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 200, 11, -4.\nAnswer: -19, -4, 11, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -0.046, 4, 3\/13, 2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the first derivative of -3*u**2\/2 - 10. Let v(t) be the first derivative of -t**2 - 2. Give v(r(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2119429422 + 1?\nAnswer: -2119429421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of d**4\/4 - d**3\/3 + d + 4. Suppose 5*a + 0 = -30. Let j = a - -5. Determine t(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1890017*f**3 - 4284787?\nAnswer: -5670051*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1132 - -2?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 + 104*q + 210. Let j be o(-2). Suppose 3*d = -6 + 15. Suppose d*i - b = -j*b + 117, -2*b = 3*i - 108. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.635 + -0.635. What is the closest to -1\/4 in a, 0.2, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4504713281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4.01 + 0.01. Let w = 21.6 + 0.4. Let c = 19 - w. Put c, -1, i in decreasing order.\nAnswer: -1, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4597037*n**3 + 429877*n**2 - 5*n?\nAnswer: -27582222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/14964 and -3\/86.\nAnswer: 14964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3740 is divided by 139?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + 3a9?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes after 11:27 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 40*j**2 - 3*j - 3. Let n be (3\/(-2))\/((-12)\/(-16)). Is h(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n + n + 0*n)*(n - 3*n + n) + (1 - 1 + n)*(-3*n + 2 - 2).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23.2 - 23.5. Put -5, 6, c, -1\/3 in descending order.\nAnswer: 6, c, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4)\/(-10))\/((-1)\/(-5)). Let j be (-2)\/((-92)\/28 - -3). Suppose -5 = -w + 1. Solve 3*a - 3*v = w, 2*v - x = a - j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 2 = 8. Suppose 0 = -160*d + 155*d + 50. What is the highest common factor of d and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (219 + -205 - (-2 - -26)) + -48 - -6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1750 + 683. What are the prime factors of v?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1977.062945 - -1977. Round f to three dps.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2413, -4, -28 in ascending order.\nAnswer: -28, -4, 1, 2413","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Express (x + x**2 - x)*(-7654*x**2 - 15797292 + 15797292) as b*x**2 + n + y*x + f*x**3 + l*x**4 and give l.\nAnswer: -7654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 2850023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -331 by -1.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19908609 is divided by 1094.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*n - 10*n = 6960 - 25482. What is the remainder when n is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 497895090?\nAnswer: 2, 3, 5, 7, 11, 67, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*v + 1. Suppose -v*l + 71 = 4*x, 4*l + 0*x - 73 = -x. Let u = 17 - l. Solve 3*c + 12 = 2*f - u*c, -5*c = 4*f - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 0.5, 127, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/4)\/((-20955)\/3048)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 262 - 198. What is the highest common divisor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a\/((a**(-12)*a)\/a))*a)\/a**(-21) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24213*n + 72157 - 72157 - 24206*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 6 + -7 + 5 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/(-40)*-225907 + (-4)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of -k**7\/42 - k**6\/6 - 3*k**5\/10 - 3*k - 61. Factor y(l).\nAnswer: -l**3*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x + 24. Suppose 3*h - 5*h = -8. Suppose -3*r + h*f = 30, -2*r + 0*r + 5*f = 20. What are the prime factors of m(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (4*sqrt(300) + 5)**2 + 2 + -2.\nAnswer: 400*sqrt(3) + 4829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -0*x + x + k, -4*x + 3*k = -19. Solve x*g - 11 + 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-10)\/(-18) + ((-255)\/(-17))\/(-135). Suppose -l*s**2 + 4\/3*s + 16\/9 = 0. What is s?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - j**3 - 2)*(-98 - 2*j + 207 - 101).\nAnswer: 2*j**4 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*q**3 - q**2 + 2*q**4 + q - 5*q**2 + 1 + 6*q**2 to the form k*q**2 + y*q**3 + g + c*q + a*q**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 332.8 from 1.\nAnswer: -331.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 31056 and 136.\nAnswer: 527952","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 AM and 1:13 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be 209\/(-44)*-1 - 15\/(-12). Let j(g) be the first derivative of g**2 + 17*g - 1. Let h(n) = n + 9. Let k(f) = q*j(f) - 11*h(f). Calculate k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 190*o**2 - 487*o - 488. Let c be w(-1). Which is smaller: c or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*w = -2*w + 15, j = 5*w + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 65804562, 65804552, 65804530, 65804490, 65804426?\n\"Answer: -m**3 - 3*m + 65804566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes after 1:10 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 24241 (base 6) to base 16\nAnswer: de1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, k: 2, c: 1, y: 7, m: 3, s: 2}. Give prob of sequence ssk.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-10 - 76*g + 10)*(0*g - 4*g + 3*g) to the form p*g + d + j*g**2 and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 2*c**2 - 1483*c + 20397. Calculate s(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4.3 + 6. Let c = 1.7087 - i. What is c rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 - 8. Let y(x) = x**3 - 5*x**2 - 2*x + 7. Let i be y(6). Let m = -28 + i. Solve -p + j*p = -m*w - 12, p + 13 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((2*sqrt(2541) + sqrt(2541))*-4)\/(sqrt(224)\/sqrt(8)*-1)*4.\nAnswer: 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 119.4 * 6\nAnswer: 716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1810 or 29746?\nAnswer: 1810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 5*t + 25 = 0. Suppose -43 + 3 = -t*k. Suppose 2*p - 36 = -k. Solve o - 2 = 3*n - 4*n, 5*o = -n + p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 197293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*b + 87117*c - 16 = 87119*c, -3*c = 5*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2342\/3531 - 4\/1177. What is the third biggest value in 0.03, -1\/5, h, 1, 0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**21*d*d**(-1\/9))**(-45) assuming d is positive.\nAnswer: d**(-985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 3*t + 43 = 0, a - 7 = 2*t - 5*t. Suppose -7 = -o + 1. Let c be ((-8)\/(-3))\/(o\/120). Calculate the greatest common factor of c and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.7*454.1\nAnswer: 317.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -215 + 169 + (-224)\/(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -13*(-26)\/(-7774)*2231?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -634*c**2 + 5081504*c + 48090 = 0.\nAnswer: -3\/317, 8015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 + (-17)\/3 + 1. Let o = 4169\/6 + -701. Let j = s - o. Sort j, -0.2, 1\/5, -4 in decreasing order.\nAnswer: j, 1\/5, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -98*c**2 - 5*c - 15. Let r be u(-8). What is r rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -61*a + 19. Let t(w) = 30*w - 11. Determine 3*k(s) + 5*t(s).\nAnswer: -33*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4409, 4793, 5177, 5561, 5945, 6329?\nAnswer: 6713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8.06 - 8. Which is the nearest to -2\/7? (a) 3 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10713 - 10641. Let o be 132\/(-2)*(3 + -2). Let s = y + o. Let b(d) = d**2 - 8*d + 6. Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.26 - 1.16. What is the second smallest value in a, -2, 3, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*s**2 - 2*s**2 + 919*s**2)*(2*s**3 + 0*s + 0*s) + 2*s**5 - s**4 - 3*s**5 + 2*s**5.\nAnswer: 1845*s**5 - s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**2 + h + 2 - h - 66*h**3 + 68*h**3. Give n(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -3*o + 747, 0 = 4*o + o + 3*c - 1245. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 25 = v - 2*l, 3*v = -5*l + 25. Let g be v\/3 + 0 + 158. Suppose -4*q - n - 19 = -g, -4*q + 2*n + 154 = 0. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5651 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 50\/447 and 68\/447?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4 - (-20)\/(-8))*(-5 + -9). Calculate the greatest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*x**2 + 2*x**2 + 2*x**2)*(-22*x - 24*x + 19*x).\nAnswer: 54*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.4402 - 0.4902. Which is the nearest to 1? (a) 3 (b) -1.3 (c) -0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25 - 34. Let a = 12 + d. Suppose 2*n - a*o - 89 = 0, o + o = -2. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*h**2 - 37*h + 34*h + 3*h**2 wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26\/(-3) + 48\/72 + 4257\/(-605) + 15.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 + 4*z - 2. Let r(l) be the first derivative of l**3\/3 + 5*l**2\/2 - 3*l + 6. Let h(p) = 2*r(p) - 3*v(p). Factor h(m).\nAnswer: -m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1216\/1401 or 0?\nAnswer: -1216\/1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-12)\/15)\/((-30)\/(-1275)). Let c = 224 - h. List the prime factors of c.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35642 rounded to the nearest 100?\nAnswer: 35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 49 = -4*f, 1423*f - 1421*f - 4*c + 32 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2*g + 2)*(-1 + 0 - 1) + 0*g + 0*g - g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -117, -96, -59, -6?\n\"Answer: 8*d**2 - 3*d - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-898656)\/149184)\/((-1 - 0)\/6). Factor y*f**2 + 612\/7*f + 324\/7 + 1\/7*f**4 - 34\/7*f**3.\nAnswer: (f - 18)**2*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3121409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/2*1)\/((-18)\/54). Let i = t + 19\/6. Which is the nearest to 1? (a) -11 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(14) - 1*sqrt(686))\/(sqrt(7) + -3*sqrt(42)\/sqrt(6)))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 14) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 0.1, 738, -1, 1 in ascending order.\nAnswer: -1, -0.3, 0.1, 1, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -7*b**2 - b - 10. Let u = 47 + -50. Let z(n) = -1. Let a(w) = u*z(w) - t(w). Is a(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16731*q + 19260 = 16743*q. What are the prime factors of q?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 + u**2 + u. Let i be j(-1). Let x(d) be the second derivative of -41*d**3\/6 - 2*d**2 - 48*d. Is x(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 62 and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 48828520 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*n**2*v**2*x + 2*n**2*v*x - 13*n**2*x**3 + 6*n*v**2*x**2 - v**2*x**3 + 10*v*x**3 wrt n?\nAnswer: -4*v**2*x + 4*v*x - 26*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39 + (5 - (16 + -44)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -134 - -211. Let b = 229 + -218. Let o = a - b. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*w + 172*w + 28*w**3 + 143*w**3 - 77*w.\nAnswer: 171*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3612393899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + 20. Solve 4*i + 5*r - 2 - 4 = 0, 4*r = 4*i - n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 163869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of l**4\/4 + l**3 - 6*l**2 - 6*l + 3. Let n be j(-5). Solve -5*c - n*r = 5, -4*c - r + 20 = -7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -66*c**3 + 2500*c**2 + 304*c.\nAnswer: -2*c*(c - 38)*(33*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*q + 296 = 1535. What is the remainder when 230 is divided by q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2098127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be -13 + 31\/(310\/150). Solve -v + 24*h - 17 = 28*h, 2*h + 4 = -n*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4*(-6 + 7)*35\/14. Solve 3*b = 2*r - 12 - y, 3*r + 4*b = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 921440 and 31328960.\nAnswer: 31328960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 9612 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the third derivative of 0*g - 19*g**2 + 0 - 1\/24*g**4 + 0*g**3. Let d(z) = -10*z**2. Determine u(d(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -619, -2287, -5059, -8929, -13891, -19939?\nAnswer: -27067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - 0)*(-115)\/92?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 + 6*j**2 - 8*j + 3. Suppose 0*m + m + 4 = 4*o, -3*o - 41 = 2*m. Let z = m - -9. What is the smallest common multiple of t(z) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 392\/(-10) - (1\/(-9) - (-784)\/(-8820))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(55)*4*-4)\/(5*(-2*sqrt(11) + sqrt(11))*-2).\nAnswer: 16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 102620\/24 + (0 - -3). Let c = -4266 + q. Calculate the common denominator of -13\/3 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 3*p**4 + 7)*(2 - 3 - 1) - 8*p - 6*p**4 + 8*p - 2*p**4 + p**4 + 0*p**4 + (-3*p**2 + 3*p**2 + p**4)*(-35 - 42 + 67).\nAnswer: -23*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 0*a + 6*a)*(-75 + 3651*a - 57 - 22463*a + 191 - 59).\nAnswer: -75248*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -122*l - 13531. Calculate t(-111).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3736696 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Is 6593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*u**2 + 29*u**2 - 104*u**2 + 2*u - 18*u**2 + 34*u**2 to the form c + j*u + b*u**2 and give b.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - -1 - (1 + 1). Suppose 3*p = 2*d - 106, 5*p = -14 + 4. Suppose m + 3*g - 36 = 0, j = -3*m + g + 18 + d. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -138, 4, 3, -22, -5 in decreasing order.\nAnswer: 4, 3, -5, -22, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 2*s - 4 + 2*s + 6*s + 7. Give t(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttccotttctccottttoo. What is prob of picking 3 c and 1 o?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (8 + (-1508)\/65)\/(((-44)\/(-10))\/(-11))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 16710*r**2 + 7*r - 8. Let c(l) = 16709*l**2 + 6*l - 7. Let s(h) = 7*c(h) - 6*x(h). Let m be s(1). Let j = -14298 - m. Round j to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, i: 2, x: 2, v: 1, u: 2, r: 1}. What is prob of picking 1 i and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -86, -1, 11, 2, 3, 673 in descending order.\nAnswer: 673, 11, 3, 2, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**2 - 34. Let b = 525 + -525. Determine c(b).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rqffzzzczqzqqzqzfr. What is prob of picking 1 q and 1 r?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 11127388 - -2908548.\nAnswer: 14035936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -39 - 45 + 75 - 2*b as q*b + z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-30)\/(-6) + (2 - 4)*1. Suppose -p*r + 3*z + 28 = -r, 3*r + z - 31 = 0. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 4*i - 18, -14 = 2*i - 4*i - 4*w. Let h(a) = 361*a - 86. What is the units digit of h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the third derivative of l**4\/24 - l**3\/6 - 6*l**2. Let f(r) = -5*r + 6*r - 1 - 3. Give f(k) - 3*s(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34452 is divided by 415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27 + 120*c**2 + 59 - 32 + 49*c**2.\nAnswer: 169*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 152012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 4*t, 4*u - 5*t - 21 + 0 = 0. Suppose 0 = n - 1, 0*y + 3*y - u*n = 68. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 186371 and -5.\nAnswer: 186366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36 and 1787868.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (23 - 3) + -11 + 8 - (-153 + 209)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -0*r - 2*r - 3*x, -28*x - 5 = -33*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -10? (a) -2 (b) 149 (c) 6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 13 = 5. Suppose 0 = -q*p + 2472461 + 380539. Round p to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes after 5:31 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5698 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2432)\/1596)\/((-3)\/(-9)) + 4\/7. Let k(j) be the third derivative of -j**6\/120 - j**5\/15 - j**4\/8 + j**3\/3 - 3*j**2. Determine k(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 10 by -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -169, -362, -587, -844, -1133?\n\"Answer: -16*a**2 - 145*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*u - 12*u = 112. What is the second smallest value in -1\/9, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1\/2, -4562, 4\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 370\/(-148) - 2\/(-4). Sort -3, -7, v, -5 in increasing order.\nAnswer: -7, -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -9*s**3 - s**2 - 2*s - 1. Let u be r(-1). Suppose -t = -4*t + u. What is the third derivative of 4*x**2 + 3*x**3 - 5*x**t - 7*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -11*j**2. Let g(x) be the second derivative of x**7\/504 + 11*x**4\/4 - x**3\/6 - 10*x. Let f(a) be the third derivative of g(a). Give f(r(p)).\nAnswer: 605*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 50.7 - -6.3. Let l = m + -53. Which is the nearest to -0.3? (a) 1\/4 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 + 3)*(w - 2*w + 2*w) + 1199 + 1201 + 160*w - 2398 to the form g + z*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -11334.6 to the nearest 10.\nAnswer: -11330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is t in -5*t**3\/7 - 2058*t**2 - 613051*t\/7 - 122034\/7 = 0?\nAnswer: -2838, -43, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 5*l + 29*l**2 + 6 - 24*l**2 + 14. Let c(x) = 2*x**2 + 2*x + 7. Let h(z) = -8*c(z) + 3*i(z). Calculate h(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 188827658981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 179 = 33*k + 575 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -3 - 3*b + 1 - 7 - 7. Calculate k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3064*g + 12115 + 14284 = 1887 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-13)\/35 - 16\/(-28). Let d = -97\/6 + 31\/2. Let p be 4\/(-16) + 50*1\/72. Which is the third biggest value? (a) d (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/9 + 315\/27 + -11\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 47331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.2 + 0.3. Let c = -116.1 + 116. Sort c, 1\/5, d in descending order.\nAnswer: 1\/5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 435, 423, 413, 405, 399?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(-2)*s*s\/s**5)**(-25\/4)\/(s**(-2\/27)\/(s\/(s\/(s**1\/s)*s))*(s*s**(-3\/8)\/s)\/s**1) assuming s is positive.\nAnswer: s**(97\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 885353872?\nAnswer: 2, 13, 4256509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o = -2*h - 16, -h + 5*o - 12 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 2672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2014*(1860\/1767)\/(-20).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-224)\/(-21)*12\/16 - (-1632)\/459. Find o such that -50\/9*o**2 - 320\/9*o + 310\/9*o**3 - m + 10\/9*o**5 + 154\/9*o**4 = 0.\nAnswer: -13, -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -3 + (-5*sqrt(5) + -2)**2 + (sqrt(80) + -3)**2 + -1 + 5.\nAnswer: -4*sqrt(5) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 9148?\nAnswer: -18296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (7 - 7)*37\/111. Which is smaller: 2\/11189 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-232)\/10 + (-6)\/(-30). Let z(x) = -7*x - 165. Let q be z(d). Let t(l) = 377*l + 117. Let m(s) = -13*s - 4. Determine q*t(r) - 117*m(r).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5467597 - -42?\nAnswer: 5467639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (858*r - 242*r**2 - 858*r)*(-3*r + r + 5*r).\nAnswer: -726*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -254 - 240. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/(-72)*1\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times 190391?\nAnswer: 38078.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -747632 divided by 5\nAnswer: -747632\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*h**4 + 3 - 3)*(8 + 10 + 1) in the form p*h**4 + g*h**3 + s + q*h**2 + i*h and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -14699 divided by 5\nAnswer: -14699\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 36*k**3 + 225*k**2 + 149*k**5 + 20*k**3 - 56*k**3 wrt k?\nAnswer: 8940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5353214591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the first derivative of b**5\/20 + b**4\/8 - b**3\/12 - b**2\/4 - 52. Factor m(n).\nAnswer: n*(n - 1)*(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 13 - ((-42 - (-52 + 27)) + 1 + 6)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16.979 - -0.021. Let l = 16.27 - f. Let a = 0.83 + l. What is the closest to a in -5, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15, 138, 369, 702, 1131?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 138 - 41329?\nAnswer: -41191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -0.361.\nAnswer: -2.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-20)\/6*36\/(-30). Suppose -3 = -n + 3*m, -2*m + 10 = -b*n - m. Sort 4, n, 5 in descending order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9\/13 - -105\/208. Are 1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 118441525?\nAnswer: 5, 4737661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/1*(-13 - 8). Let j = v + -14. Suppose -739 = j*m - 8*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence krkr when four letters picked without replacement from {k: 4, r: 15}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 593577 and 313440?\nAnswer: 94972320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 9*k**2 - 7*k - 49. Let r(z) = -z**2 + z + 7. Let b(i) = -42*r(i) - 6*x(i). Let t(d) = 190*d. What is b(t(p))?\nAnswer: -433200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -848, -1697, -2546, -3395, -4244, -5093?\nAnswer: -5942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/9384900 and 169\/5630940?\nAnswer: 28154700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j - 1. Let v(s) be the second derivative of -29*s**5\/20 - s**4\/6 - s**3\/2 - s**2 + 5*s. Calculate the lowest common multiple of v(-1) and u(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 - 14*n + 5. Let g be c(-13). Calculate the greatest common divisor of 36 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 124455240 (base 6) in base 13?\nAnswer: 683c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**4 + 12*g - 3. Let t(f) = 13*f - 4. Let v(k) = -4*j(k) + 3*t(k). What is the second derivative of v(b) wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, 2, 3\/14, -2\/13, 32 in decreasing order.\nAnswer: 32, 2, 1, 3\/14, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 715\/84 + (-12)\/28 and 25\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -2*i**2\/7 - 54*i\/7 - 184\/7 = 0.\nAnswer: -23, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 4185024907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 5, q: 11}. What is prob of picking 2 q and 1 x?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/22312036 or 1?\nAnswer: 1\/22312036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -585 (base 9) to base 14\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = -5633 - 20002. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f + 10*f**2 + 7*f - 2 - 3*f - 2. Let k = -1 - 2. Is j(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2529, -2576, -2651, -2748, -2861?\n\"Answer: o**3 - 20*o**2 + 6*o - 2516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -18. Let i be (0 - s)*120\/14. Let v be ((-29494)\/(-3) - -2)*i. Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*p + 211*p = -p + 8372 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 51*y - 1 - 14*y + 1 in the form k + a*y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 334, 11221, 22108, 32995, 43882, 54769?\nAnswer: 65656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u + 13 = -15. Solve -3*w + 8*w = -4*b + u, 4*w = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1 + 4 + (sqrt(700)*-1*3 - sqrt(700))*-4).\nAnswer: -960*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*v - 4*v. Let r = 44 + -219\/5. Sort r, v, -0.3.\nAnswer: -0.3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of -7*p**2 - 7*p - 90. Let f = 11 - -5. Calculate the least common multiple of f and b(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of -3*r**6\/40 - r**5\/30 + r**3\/6 + 3*r**2. Calculate the remainder when f(-1) is divided by (-1)\/2*(-7 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*k, -4*f - 22*k + 27*k + 783 = 0. Calculate the remainder when f is divided by 98.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -35\/829292 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5545, -21720, -48507, -85900, -133893?\nAnswer: -192480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gafagafogoymmag. Give prob of sequence ym.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 26875942, 53751896, 80627852, 107503810, 134379770, 161255732?\n\"Answer: h**2 + 26875951*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b - 1. Let a(u) = -u**3 + 13*u**2 - 11*u - 11. Let l be a(12). Let g be (-15)\/30 - l\/2. Let o(n) = n + 4. Give g*o(m) - 2*q(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 11*m + 5. Sort 9, 41, m, -5.\nAnswer: -5, m, 9, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*-71698\nAnswer: 71698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**3 + 14*k**2 + k + 16. Let v be s(-14). Suppose -v*w + 76 = 2*w. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + -3 + (0 - 0) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 28 and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*d**3 - 2 + d**4 + 5*d**3 + 1 - 3*d**3 + 2*d + 36*d**3 to u*d**3 + j + o*d**2 + t*d + c*d**4 and give u.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 22600 (base 11) in base 6?\nAnswer: 411130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -239*a**2 - 293*a + 311. Let l(n) = 37*n**2 + 49*n - 52. Let w(j) = -2*d(j) - 13*l(j). Factor w(q).\nAnswer: -3*(q - 1)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 22569 + -22365. Solve -33*s - 18*s - x = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.11*39.5533\nAnswer: -4.350863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(-39)*x)**(-1\/35)*(x**(-3)*x)**(-28) assuming x is positive.\nAnswer: x**(1997\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 28, 3\/8, -1.15?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -2*c**2 - 86*c + 5684. Calculate n(36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60 + (-4 + 15 + 0 + -1 - -2 - 11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -565263 divided by -543.\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 73237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/96760 and -5\/19352.\nAnswer: 96760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 5*c = 0. Suppose -w - l + 3*l + 6 = 0, c = -w + 5*l + 6. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -105*n + 63*n + 336 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the third derivative of 25*k**4\/24 + 17*k**3 + 5*k**2 + 4*k. Differentiate u(y) wrt y.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 465*q - 75*q + 113*q + 2012 = 0. Let i(a) = a + 9. Let h be i(-9). Put h, q, -5, -21 in descending order.\nAnswer: h, q, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -115274 rounded to the nearest one hundred?\nAnswer: -115300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, g: 1, s: 11}. What is prob of sequence sssf?\nAnswer: 385\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r + r + 11 - 15. Sort 0, -53, 1, r, 2 in descending order.\nAnswer: 2, 1, 0, r, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*y - 2267 - 2863 = 31*y - 5802 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-36)\/(-63)*(455\/10)\/(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -101434424 divided by -5\nAnswer: 101434424\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-93)\/248*8\/30*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, 18017\/8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from ppmmppz?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-8)*q**(-1\/14))\/((q**(-32)*q)\/q)**43 assuming q is positive.\nAnswer: q**(19151\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let 19683*a**4 + 79218*a**3 + 80679*a**2 + 1956*a + 12 = 0. Calculate a.\nAnswer: -2, -1\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 519 a factor of 1249255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1001 divided by 21724?\nAnswer: 1001\/21724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 1862*h - 578 + 292 + 286 in the form u + f*h and give f.\nAnswer: 1862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 188615 divided by -119.\nAnswer: -1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 5.09021286 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -10*f + 448. Let j be o(45). Put j, 5, -4, -6, 4 in decreasing order.\nAnswer: 5, 4, j, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*h**2 - 5*h**2 + 4*h**2)*(3*h**3 + 4*h**3 - 3*h**3) + (3 + 0 - 5)*(h**2 - h**2 - h**5).\nAnswer: 14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 3*p**3 + p**2 + 3. Let r(n) = -8*n**3 + 5*n - 7. Let l(x) = -x**3 + x - 1. Let w(o) = 5*l(o) - r(o). What is 2*t(u) - 3*w(u)?\nAnswer: -3*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 2 p when four letters picked without replacement from {l: 2, p: 6, u: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 73133466 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3b77 - -2b?\nAnswer: -3b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (15\/(-21))\/((-6)\/(-7)). Let q(a) = -a**3 - 2. Let h be (-2 - 15\/(-6))*0. Let b be q(h). Put 2\/7, x, b in descending order.\nAnswer: 2\/7, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the first derivative of n**4\/14 + 254*n**3\/21 + 3968*n**2\/7 - 8192*n\/7 + 709. Factor k(i).\nAnswer: 2*(i - 1)*(i + 64)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -10*x + 48. What is the tens digit of (-5)\/10*x - -436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000125810481 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*i - 2*i + 3*i)*(0 - 2 + 3)*(272*i + 231*i + 373*i - 3) in the form k*i**2 + o*i + r and give k.\nAnswer: -1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 71*k + 67*k + 4.\nAnswer: -4*k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 47*j - 1634. Is l(66) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is next in 45394, 45421, 45462, 45523, 45610, 45729, 45886, 46087?\nAnswer: 46338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 25\/10 - (-4)\/8. Let l(g) = 1 - 2*g + o - 4*g + g. Suppose -3*x + b = -0*x + 16, 4*x = -4*b. Let n(j) = 6*j - 5. What is x*n(q) - 5*l(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6800 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1\/18 + -25\/198. Sort 4, -0.3, x, 0.2 in increasing order.\nAnswer: -0.3, x, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1320461333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -277, -278, -277, -274, -269, -262?\n\"Answer: s**2 - 4*s - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/124 and 149\/3492.\nAnswer: 108252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -373 + 358. Sort 0, a, -11 in descending order.\nAnswer: a, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -19705.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*o = -12*o + 8. Let y be 4\/(-2*(-4)\/o). Let k(f) = 5*f + 6 + 2*f**2 + 4*f**2 - 2. Let a(d) = 7*d**2 + 6*d + 5. Calculate y*a(h) + 5*k(h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15 - -14. Let i be (-27)\/(4\/(-7 + w)). Let d(f) = 6*f + 6. Let m be d(2). What is the highest common factor of m and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13764357*i - i**2 - 3 + 13764357*i.\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add 3479925 and 9.361.\nAnswer: 3479934.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.37 - 0.37. What is the fourth biggest value in b, -3, 1, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 477*r - 185 = 472*r. Calculate the remainder when 258 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 35 and 3225355.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 - 15*h**2 + 15*h - 8. Let k be m(14). Solve k = -5*d - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11 + -5. Suppose -2*p + 5*p = r. Factor p*y**4 + 48*y**2 - 36*y**2 + 12*y**3 + 4*y + 2*y**4.\nAnswer: 4*y*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 50 times -5.2?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 4*-2026.70996\nAnswer: -8106.83984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -96*b**2*m + 855*b**2 - 109*b*m - 2*b - 24*m wrt m.\nAnswer: -96*b**2 - 109*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f**5 + 54*f**4 + 303*f**3 + 384*f**2 - 1260*f - 2400 = 0. What is f?\nAnswer: -8, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5022 times -459?\nAnswer: -2305098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -2*m - 499*m**2 - 465*m**2 + 958*m**2 + 18 in the form v*m**2 + w*m + b and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4320280790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*b + 30 = -25*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 10701 - -2?\nAnswer: 10703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}